The Ultimate Guide to Real-Time Lane Detection Using OpenCV

In this tutorial, we will go through the entire process, step by step, of how to detect lanes on a road in real time using the OpenCV computer vision library and Python. By the end of this tutorial, you will know how to build (from scratch) an application that can automatically detect lanes in a video stream from a front-facing camera mounted on a car. You’ll be able to generate this video below.

Our goal is to create a program that can read a video stream and output an annotated video that shows the following:

  1. The current lane
  2. The radius of curvature of the lane
  3. The position of the vehicle relative to the middle of the lane

In a future post, we will use #3 to control the steering angle of a self-driving car in the CARLA autonomous driving simulator.

Real-World Applications

  • Self-Driving Cars

Prerequisites

Helpful Tip

As you work through this tutorial, focus on the end goals I listed in the beginning. Don’t get bogged down in trying to understand every last detail of the math and the OpenCV operations we’ll use in our code (e.g. bitwise AND, Sobel edge detection algorithm etc.). Trust the developers at Intel who manage the OpenCV computer vision package.

We are trying to build products not publish research papers. Focus on the inputs, the outputs, and what the algorithm is supposed to do at a high level.

Get a working lane detection application up and running; and, at some later date when you want to add more complexity to your project or write a research paper, you can dive deeper under the hood to understand all the details.

Trying to understand every last detail is like trying to build your own database from scratch in order to start a website or taking a course on internal combustion engines to learn how to drive a car. 

Let’s get started!

Find Some Videos and an Image

The first thing we need to do is find some videos and an image to serve as our test cases.

We want to download videos and an image that show a road with lanes from the perspective of a person driving a car. 

I found some good candidates on Pixabay.com. Type “driving” or “lanes” in the video search on that website.

Here is an example of what a frame from one of your videos should look like. This frame is 600 pixels in width and 338 pixels in height:

original_lane_detection_5

Installation and Setup

We now need to make sure we have all the software packages installed. Check to see if you have OpenCV installed on your machine. If you are using Anaconda, you can type:

conda install -c conda-forge opencv

Alternatively, you can type:

pip install opencv-python

Make sure you have NumPy installed, a scientific computing library for Python.

If you’re using Anaconda, you can type:

conda install numpy

Alternatively, you can type:

pip install numpy

Install Matplotlib, a plotting library for Python.

For Anaconda users:

conda install -c conda-forge matplotlib

Otherwise, you can install like this:

pip install matplotlib

Python Code for Detection of Lane Lines in an Image

Before, we get started, I’ll share with you the full code you need to perform lane detection in an image. The two programs below are all you need to detect lane lines in an image.

You need to make sure that you save both programs below, edge_detection.py and lane.py in the same directory as the image.

edge_detection.py will be a collection of methods that helps isolate lane line edges and lane lines. 

lane.py is where we will implement a Lane class that represents a lane on a road or highway.

Don’t be scared at how long the code appears. I always include a lot of comments in my code since I have the tendency to forget why I did what I did. I always want to be able to revisit my code at a later date and have a clear understanding what I did and why:

Here is edge_detection.py. Don’t worry, I’ll explain the code later in this post.

import cv2 # Import the OpenCV library to enable computer vision
import numpy as np # Import the NumPy scientific computing library

# Author: Addison Sears-Collins
# https://automaticaddison.com
# Description: A collection of methods to detect help with edge detection

def binary_array(array, thresh, value=0):
  """
  Return a 2D binary array (mask) in which all pixels are either 0 or 1
	
  :param array: NumPy 2D array that we want to convert to binary values
  :param thresh: Values used for thresholding (inclusive)
  :param value: Output value when between the supplied threshold
  :return: Binary 2D array...
           number of rows x number of columns = 
           number of pixels from top to bottom x number of pixels from
             left to right 
  """
  if value == 0:
    # Create an array of ones with the same shape and type as 
    # the input 2D array.
    binary = np.ones_like(array) 
		
  else:
    # Creates an array of zeros with the same shape and type as 
    # the input 2D array.
    binary = np.zeros_like(array)  
    value = 1

  # If value == 0, make all values in binary equal to 0 if the 
  # corresponding value in the input array is between the threshold 
  # (inclusive). Otherwise, the value remains as 1. Therefore, the pixels 
  # with the high Sobel derivative values (i.e. sharp pixel intensity 
  # discontinuities) will have 0 in the corresponding cell of binary.
  binary[(array >= thresh[0]) & (array <= thresh[1])] = value

  return binary

def blur_gaussian(channel, ksize=3):
  """
  Implementation for Gaussian blur to reduce noise and detail in the image
	
  :param image: 2D or 3D array to be blurred
  :param ksize: Size of the small matrix (i.e. kernel) used to blur
                i.e. number of rows and number of columns
  :return: Blurred 2D image
  """
  return cv2.GaussianBlur(channel, (ksize, ksize), 0)
		
def mag_thresh(image, sobel_kernel=3, thresh=(0, 255)):
  """
  Implementation of Sobel edge detection

  :param image: 2D or 3D array to be blurred
  :param sobel_kernel: Size of the small matrix (i.e. kernel) 
                       i.e. number of rows and columns
  :return: Binary (black and white) 2D mask image
  """
  # Get the magnitude of the edges that are vertically aligned on the image
  sobelx = np.absolute(sobel(image, orient='x', sobel_kernel=sobel_kernel))
		
  # Get the magnitude of the edges that are horizontally aligned on the image
  sobely = np.absolute(sobel(image, orient='y', sobel_kernel=sobel_kernel))

  # Find areas of the image that have the strongest pixel intensity changes
  # in both the x and y directions. These have the strongest gradients and 
  # represent the strongest edges in the image (i.e. potential lane lines)
  # mag is a 2D array .. number of rows x number of columns = number of pixels
  # from top to bottom x number of pixels from left to right
  mag = np.sqrt(sobelx ** 2 + sobely ** 2)

  # Return a 2D array that contains 0s and 1s	
  return binary_array(mag, thresh)

def sobel(img_channel, orient='x', sobel_kernel=3):
  """
  Find edges that are aligned vertically and horizontally on the image
	
  :param img_channel: Channel from an image
  :param orient: Across which axis of the image are we detecting edges?
  :sobel_kernel: No. of rows and columns of the kernel (i.e. 3x3 small matrix)
  :return: Image with Sobel edge detection applied
  """
  # cv2.Sobel(input image, data type, prder of the derivative x, order of the
  # derivative y, small matrix used to calculate the derivative)
  if orient == 'x':
    # Will detect differences in pixel intensities going from 
		# left to right on the image (i.e. edges that are vertically aligned)
    sobel = cv2.Sobel(img_channel, cv2.CV_64F, 1, 0, sobel_kernel)
  if orient == 'y':
    # Will detect differences in pixel intensities going from 
    # top to bottom on the image (i.e. edges that are horizontally aligned)
    sobel = cv2.Sobel(img_channel, cv2.CV_64F, 0, 1, sobel_kernel)

  return sobel

def threshold(channel, thresh=(128,255), thresh_type=cv2.THRESH_BINARY):
  """
  Apply a threshold to the input channel
	
  :param channel: 2D array of the channel data of an image/video frame
  :param thresh: 2D tuple of min and max threshold values
  :param thresh_type: The technique of the threshold to apply
  :return: Two outputs are returned:
             ret: Threshold that was used
   	         thresholded_image: 2D thresholded data.
  """
  # If pixel intensity is greater than thresh[0], make that value
  # white (255), else set it to black (0)
  return cv2.threshold(channel, thresh[0], thresh[1], thresh_type)

Here is lane.py.

import cv2 # Import the OpenCV library to enable computer vision
import numpy as np # Import the NumPy scientific computing library
import edge_detection as edge # Handles the detection of lane lines
import matplotlib.pyplot as plt # Used for plotting and error checking

# Author: Addison Sears-Collins
# https://automaticaddison.com
# Description: Implementation of the Lane class 

filename = 'original_lane_detection_5.jpg'

class Lane:
  """
  Represents a lane on a road.
  """
  def __init__(self, orig_frame):
    """
	  Default constructor
		
    :param orig_frame: Original camera image (i.e. frame)
    """
    self.orig_frame = orig_frame

    # This will hold an image with the lane lines		
    self.lane_line_markings = None

    # This will hold the image after perspective transformation
    self.warped_frame = None
    self.transformation_matrix = None
    self.inv_transformation_matrix = None

    # (Width, Height) of the original video frame (or image)
    self.orig_image_size = self.orig_frame.shape[::-1][1:]

    width = self.orig_image_size[0]
    height = self.orig_image_size[1]
    self.width = width
    self.height = height
	
    # Four corners of the trapezoid-shaped region of interest
    # You need to find these corners manually.
    self.roi_points = np.float32([
      (274,184), # Top-left corner
      (0, 337), # Bottom-left corner			
      (575,337), # Bottom-right corner
      (371,184) # Top-right corner
    ])
		
    # The desired corner locations  of the region of interest
    # after we perform perspective transformation.
    # Assume image width of 600, padding == 150.
    self.padding = int(0.25 * width) # padding from side of the image in pixels
    self.desired_roi_points = np.float32([
      [self.padding, 0], # Top-left corner
      [self.padding, self.orig_image_size[1]], # Bottom-left corner			
      [self.orig_image_size[
        0]-self.padding, self.orig_image_size[1]], # Bottom-right corner
      [self.orig_image_size[0]-self.padding, 0] # Top-right corner
    ]) 
		
    # Histogram that shows the white pixel peaks for lane line detection
    self.histogram = None
		
    # Sliding window parameters
    self.no_of_windows = 10
    self.margin = int((1/12) * width)  # Window width is +/- margin
    self.minpix = int((1/24) * width)  # Min no. of pixels to recenter window
		
    # Best fit polynomial lines for left line and right line of the lane
    self.left_fit = None
    self.right_fit = None
    self.left_lane_inds = None
    self.right_lane_inds = None
    self.ploty = None
    self.left_fitx = None
    self.right_fitx = None
    self.leftx = None
    self.rightx = None
    self.lefty = None
    self.righty = None
		
    # Pixel parameters for x and y dimensions
    self.YM_PER_PIX = 10.0 / 1000 # meters per pixel in y dimension
    self.XM_PER_PIX = 3.7 / 781 # meters per pixel in x dimension
		
    # Radii of curvature and offset
    self.left_curvem = None
    self.right_curvem = None
    self.center_offset = None

  def calculate_car_position(self, print_to_terminal=False):
    """
    Calculate the position of the car relative to the center
		
    :param: print_to_terminal Display data to console if True		
    :return: Offset from the center of the lane
    """
    # Assume the camera is centered in the image.
    # Get position of car in centimeters
    car_location = self.orig_frame.shape[1] / 2

    # Fine the x coordinate of the lane line bottom
    height = self.orig_frame.shape[0]
    bottom_left = self.left_fit[0]*height**2 + self.left_fit[
      1]*height + self.left_fit[2]
    bottom_right = self.right_fit[0]*height**2 + self.right_fit[
      1]*height + self.right_fit[2]

    center_lane = (bottom_right - bottom_left)/2 + bottom_left 
    center_offset = (np.abs(car_location) - np.abs(
      center_lane)) * self.XM_PER_PIX * 100

    if print_to_terminal == True:
      print(str(center_offset) + 'cm')
			
    self.center_offset = center_offset
      
    return center_offset

  def calculate_curvature(self, print_to_terminal=False):
    """
    Calculate the road curvature in meters.

    :param: print_to_terminal Display data to console if True
    :return: Radii of curvature
    """
    # Set the y-value where we want to calculate the road curvature.
    # Select the maximum y-value, which is the bottom of the frame.
    y_eval = np.max(self.ploty)    

    # Fit polynomial curves to the real world environment
    left_fit_cr = np.polyfit(self.lefty * self.YM_PER_PIX, self.leftx * (
      self.XM_PER_PIX), 2)
    right_fit_cr = np.polyfit(self.righty * self.YM_PER_PIX, self.rightx * (
      self.XM_PER_PIX), 2)
			
    # Calculate the radii of curvature
    left_curvem = ((1 + (2*left_fit_cr[0]*y_eval*self.YM_PER_PIX + left_fit_cr[
                    1])**2)**1.5) / np.absolute(2*left_fit_cr[0])
    right_curvem = ((1 + (2*right_fit_cr[
                    0]*y_eval*self.YM_PER_PIX + right_fit_cr[
                    1])**2)**1.5) / np.absolute(2*right_fit_cr[0])
	
    # Display on terminal window
    if print_to_terminal == True:
      print(left_curvem, 'm', right_curvem, 'm')
			
    self.left_curvem = left_curvem
    self.right_curvem = right_curvem

    return left_curvem, right_curvem		
		
  def calculate_histogram(self,frame=None,plot=True):
    """
    Calculate the image histogram to find peaks in white pixel count
		
    :param frame: The warped image
    :param plot: Create a plot if True
    """
    if frame is None:
      frame = self.warped_frame
			
    # Generate the histogram
    self.histogram = np.sum(frame[int(
		      frame.shape[0]/2):,:], axis=0)

    if plot == True:
		
      # Draw both the image and the histogram
      figure, (ax1, ax2) = plt.subplots(2,1) # 2 row, 1 columns
      figure.set_size_inches(10, 5)
      ax1.imshow(frame, cmap='gray')
      ax1.set_title("Warped Binary Frame")
      ax2.plot(self.histogram)
      ax2.set_title("Histogram Peaks")
      plt.show()
			
    return self.histogram

  def display_curvature_offset(self, frame=None, plot=False):
    """
    Display curvature and offset statistics on the image
		
    :param: plot Display the plot if True
    :return: Image with lane lines and curvature
    """	
    image_copy = None
    if frame is None:
      image_copy = self.orig_frame.copy()
    else:
      image_copy = frame

    cv2.putText(image_copy,'Curve Radius: '+str((
      self.left_curvem+self.right_curvem)/2)[:7]+' m', (int((
      5/600)*self.width), int((
      20/338)*self.height)), cv2.FONT_HERSHEY_SIMPLEX, (float((
      0.5/600)*self.width)),(
      255,255,255),2,cv2.LINE_AA)
    cv2.putText(image_copy,'Center Offset: '+str(
      self.center_offset)[:7]+' cm', (int((
      5/600)*self.width), int((
      40/338)*self.height)), cv2.FONT_HERSHEY_SIMPLEX, (float((
      0.5/600)*self.width)),(
      255,255,255),2,cv2.LINE_AA)
			
    if plot==True:       
      cv2.imshow("Image with Curvature and Offset", image_copy)

    return image_copy
    
  def get_lane_line_previous_window(self, left_fit, right_fit, plot=False):
    """
    Use the lane line from the previous sliding window to get the parameters
    for the polynomial line for filling in the lane line
    :param: left_fit Polynomial function of the left lane line
    :param: right_fit Polynomial function of the right lane line
    :param: plot To display an image or not
    """
    # margin is a sliding window parameter
    margin = self.margin

    # Find the x and y coordinates of all the nonzero 
    # (i.e. white) pixels in the frame.			
    nonzero = self.warped_frame.nonzero()  
    nonzeroy = np.array(nonzero[0])
    nonzerox = np.array(nonzero[1])
		
    # Store left and right lane pixel indices
    left_lane_inds = ((nonzerox > (left_fit[0]*(
      nonzeroy**2) + left_fit[1]*nonzeroy + left_fit[2] - margin)) & (
      nonzerox < (left_fit[0]*(
      nonzeroy**2) + left_fit[1]*nonzeroy + left_fit[2] + margin))) 
    right_lane_inds = ((nonzerox > (right_fit[0]*(
      nonzeroy**2) + right_fit[1]*nonzeroy + right_fit[2] - margin)) & (
      nonzerox < (right_fit[0]*(
      nonzeroy**2) + right_fit[1]*nonzeroy + right_fit[2] + margin))) 			
    self.left_lane_inds = left_lane_inds
    self.right_lane_inds = right_lane_inds

    # Get the left and right lane line pixel locations	
    leftx = nonzerox[left_lane_inds]
    lefty = nonzeroy[left_lane_inds] 
    rightx = nonzerox[right_lane_inds]
    righty = nonzeroy[right_lane_inds]	

    self.leftx = leftx
    self.rightx = rightx
    self.lefty = lefty
    self.righty = righty		
	
    # Fit a second order polynomial curve to each lane line
    left_fit = np.polyfit(lefty, leftx, 2)
    right_fit = np.polyfit(righty, rightx, 2)
    self.left_fit = left_fit
    self.right_fit = right_fit
		
    # Create the x and y values to plot on the image
    ploty = np.linspace(
      0, self.warped_frame.shape[0]-1, self.warped_frame.shape[0]) 
    left_fitx = left_fit[0]*ploty**2 + left_fit[1]*ploty + left_fit[2]
    right_fitx = right_fit[0]*ploty**2 + right_fit[1]*ploty + right_fit[2]
    self.ploty = ploty
    self.left_fitx = left_fitx
    self.right_fitx = right_fitx
		
    if plot==True:
		
      # Generate images to draw on
      out_img = np.dstack((self.warped_frame, self.warped_frame, (
                           self.warped_frame)))*255
      window_img = np.zeros_like(out_img)
			
      # Add color to the left and right line pixels
      out_img[nonzeroy[left_lane_inds], nonzerox[left_lane_inds]] = [255, 0, 0]
      out_img[nonzeroy[right_lane_inds], nonzerox[right_lane_inds]] = [
                                                                     0, 0, 255]
      # Create a polygon to show the search window area, and recast 
      # the x and y points into a usable format for cv2.fillPoly()
      margin = self.margin
      left_line_window1 = np.array([np.transpose(np.vstack([
                                    left_fitx-margin, ploty]))])
      left_line_window2 = np.array([np.flipud(np.transpose(np.vstack([
                                    left_fitx+margin, ploty])))])
      left_line_pts = np.hstack((left_line_window1, left_line_window2))
      right_line_window1 = np.array([np.transpose(np.vstack([
                                     right_fitx-margin, ploty]))])
      right_line_window2 = np.array([np.flipud(np.transpose(np.vstack([
                                     right_fitx+margin, ploty])))])
      right_line_pts = np.hstack((right_line_window1, right_line_window2))
			
      # Draw the lane onto the warped blank image
      cv2.fillPoly(window_img, np.int_([left_line_pts]), (0,255, 0))
      cv2.fillPoly(window_img, np.int_([right_line_pts]), (0,255, 0))
      result = cv2.addWeighted(out_img, 1, window_img, 0.3, 0)
      
      # Plot the figures 
      figure, (ax1, ax2, ax3) = plt.subplots(3,1) # 3 rows, 1 column
      figure.set_size_inches(10, 10)
      figure.tight_layout(pad=3.0)
      ax1.imshow(cv2.cvtColor(self.orig_frame, cv2.COLOR_BGR2RGB))
      ax2.imshow(self.warped_frame, cmap='gray')
      ax3.imshow(result)
      ax3.plot(left_fitx, ploty, color='yellow')
      ax3.plot(right_fitx, ploty, color='yellow')
      ax1.set_title("Original Frame")  
      ax2.set_title("Warped Frame")
      ax3.set_title("Warped Frame With Search Window")
      plt.show()
			
  def get_lane_line_indices_sliding_windows(self, plot=False):
    """
    Get the indices of the lane line pixels using the 
    sliding windows technique.
		
    :param: plot Show plot or not
    :return: Best fit lines for the left and right lines of the current lane 
    """
    # Sliding window width is +/- margin
    margin = self.margin

    frame_sliding_window = self.warped_frame.copy()

    # Set the height of the sliding windows
    window_height = np.int(self.warped_frame.shape[0]/self.no_of_windows)		

    # Find the x and y coordinates of all the nonzero 
    # (i.e. white) pixels in the frame.	
    nonzero = self.warped_frame.nonzero()
    nonzeroy = np.array(nonzero[0])
    nonzerox = np.array(nonzero[1])	
		
    # Store the pixel indices for the left and right lane lines
    left_lane_inds = []
    right_lane_inds = []
		
    # Current positions for pixel indices for each window,
    # which we will continue to update
    leftx_base, rightx_base = self.histogram_peak()
    leftx_current = leftx_base
    rightx_current = rightx_base

    # Go through one window at a time
    no_of_windows = self.no_of_windows
		
    for window in range(no_of_windows):
      
      # Identify window boundaries in x and y (and right and left)
      win_y_low = self.warped_frame.shape[0] - (window + 1) * window_height
      win_y_high = self.warped_frame.shape[0] - window * window_height
      win_xleft_low = leftx_current - margin
      win_xleft_high = leftx_current + margin
      win_xright_low = rightx_current - margin
      win_xright_high = rightx_current + margin
      cv2.rectangle(frame_sliding_window,(win_xleft_low,win_y_low),(
        win_xleft_high,win_y_high), (255,255,255), 2)
      cv2.rectangle(frame_sliding_window,(win_xright_low,win_y_low),(
        win_xright_high,win_y_high), (255,255,255), 2)

      # Identify the nonzero pixels in x and y within the window
      good_left_inds = ((nonzeroy >= win_y_low) & (nonzeroy < win_y_high) & 
                          (nonzerox >= win_xleft_low) & (
                           nonzerox < win_xleft_high)).nonzero()[0]
      good_right_inds = ((nonzeroy >= win_y_low) & (nonzeroy < win_y_high) & 
                           (nonzerox >= win_xright_low) & (
                            nonzerox < win_xright_high)).nonzero()[0]
														
      # Append these indices to the lists
      left_lane_inds.append(good_left_inds)
      right_lane_inds.append(good_right_inds)
        
      # If you found > minpix pixels, recenter next window on mean position
      minpix = self.minpix
      if len(good_left_inds) > minpix:
        leftx_current = np.int(np.mean(nonzerox[good_left_inds]))
      if len(good_right_inds) > minpix:        
        rightx_current = np.int(np.mean(nonzerox[good_right_inds]))
					
    # Concatenate the arrays of indices
    left_lane_inds = np.concatenate(left_lane_inds)
    right_lane_inds = np.concatenate(right_lane_inds)

    # Extract the pixel coordinates for the left and right lane lines
    leftx = nonzerox[left_lane_inds]
    lefty = nonzeroy[left_lane_inds] 
    rightx = nonzerox[right_lane_inds] 
    righty = nonzeroy[right_lane_inds]

    # Fit a second order polynomial curve to the pixel coordinates for
    # the left and right lane lines
    left_fit = np.polyfit(lefty, leftx, 2)
    right_fit = np.polyfit(righty, rightx, 2) 
		
    self.left_fit = left_fit
    self.right_fit = right_fit

    if plot==True:
		
      # Create the x and y values to plot on the image  
      ploty = np.linspace(
        0, frame_sliding_window.shape[0]-1, frame_sliding_window.shape[0])
      left_fitx = left_fit[0]*ploty**2 + left_fit[1]*ploty + left_fit[2]
      right_fitx = right_fit[0]*ploty**2 + right_fit[1]*ploty + right_fit[2]

      # Generate an image to visualize the result
      out_img = np.dstack((
        frame_sliding_window, frame_sliding_window, (
        frame_sliding_window))) * 255
			
      # Add color to the left line pixels and right line pixels
      out_img[nonzeroy[left_lane_inds], nonzerox[left_lane_inds]] = [255, 0, 0]
      out_img[nonzeroy[right_lane_inds], nonzerox[right_lane_inds]] = [
        0, 0, 255]
				
      # Plot the figure with the sliding windows
      figure, (ax1, ax2, ax3) = plt.subplots(3,1) # 3 rows, 1 column
      figure.set_size_inches(10, 10)
      figure.tight_layout(pad=3.0)
      ax1.imshow(cv2.cvtColor(self.orig_frame, cv2.COLOR_BGR2RGB))
      ax2.imshow(frame_sliding_window, cmap='gray')
      ax3.imshow(out_img)
      ax3.plot(left_fitx, ploty, color='yellow')
      ax3.plot(right_fitx, ploty, color='yellow')
      ax1.set_title("Original Frame")  
      ax2.set_title("Warped Frame with Sliding Windows")
      ax3.set_title("Detected Lane Lines with Sliding Windows")
      plt.show()  		
			
    return self.left_fit, self.right_fit

  def get_line_markings(self, frame=None):
    """
    Isolates lane lines.
  
	  :param frame: The camera frame that contains the lanes we want to detect
    :return: Binary (i.e. black and white) image containing the lane lines.
    """
    if frame is None:
      frame = self.orig_frame
			
    # Convert the video frame from BGR (blue, green, red) 
    # color space to HLS (hue, saturation, lightness).
    hls = cv2.cvtColor(frame, cv2.COLOR_BGR2HLS)

    ################### Isolate possible lane line edges ######################
		
    # Perform Sobel edge detection on the L (lightness) channel of 
    # the image to detect sharp discontinuities in the pixel intensities 
    # along the x and y axis of the video frame.		     
    # sxbinary is a matrix full of 0s (black) and 255 (white) intensity values
    # Relatively light pixels get made white. Dark pixels get made black.
    _, sxbinary = edge.threshold(hls[:, :, 1], thresh=(120, 255))
    sxbinary = edge.blur_gaussian(sxbinary, ksize=3) # Reduce noise
		
    # 1s will be in the cells with the highest Sobel derivative values
    # (i.e. strongest lane line edges)
    sxbinary = edge.mag_thresh(sxbinary, sobel_kernel=3, thresh=(110, 255))

    ######################## Isolate possible lane lines ######################
  
    # Perform binary thresholding on the S (saturation) channel 
    # of the video frame. A high saturation value means the hue color is pure.
    # We expect lane lines to be nice, pure colors (i.e. solid white, yellow)
    # and have high saturation channel values.
    # s_binary is matrix full of 0s (black) and 255 (white) intensity values
    # White in the regions with the purest hue colors (e.g. >80...play with
    # this value for best results).
    s_channel = hls[:, :, 2] # use only the saturation channel data
    _, s_binary = edge.threshold(s_channel, (80, 255))
	
    # Perform binary thresholding on the R (red) channel of the 
		# original BGR video frame. 
    # r_thresh is a matrix full of 0s (black) and 255 (white) intensity values
    # White in the regions with the richest red channel values (e.g. >120).
    # Remember, pure white is bgr(255, 255, 255).
    # Pure yellow is bgr(0, 255, 255). Both have high red channel values.
    _, r_thresh = edge.threshold(frame[:, :, 2], thresh=(120, 255))

    # Lane lines should be pure in color and have high red channel values 
    # Bitwise AND operation to reduce noise and black-out any pixels that
    # don't appear to be nice, pure, solid colors (like white or yellow lane 
    # lines.)		
    rs_binary = cv2.bitwise_and(s_binary, r_thresh)

    ### Combine the possible lane lines with the possible lane line edges ##### 
    # If you show rs_binary visually, you'll see that it is not that different 
    # from this return value. The edges of lane lines are thin lines of pixels.
    self.lane_line_markings = cv2.bitwise_or(rs_binary, sxbinary.astype(
                              np.uint8))	
    return self.lane_line_markings
		
  def histogram_peak(self):
    """
    Get the left and right peak of the histogram

    Return the x coordinate of the left histogram peak and the right histogram
    peak.
    """
    midpoint = np.int(self.histogram.shape[0]/2)
    leftx_base = np.argmax(self.histogram[:midpoint])
    rightx_base = np.argmax(self.histogram[midpoint:]) + midpoint

    # (x coordinate of left peak, x coordinate of right peak)
    return leftx_base, rightx_base
		
  def overlay_lane_lines(self, plot=False):
    """
    Overlay lane lines on the original frame
    :param: Plot the lane lines if True
    :return: Lane with overlay
    """
    # Generate an image to draw the lane lines on 
    warp_zero = np.zeros_like(self.warped_frame).astype(np.uint8)
    color_warp = np.dstack((warp_zero, warp_zero, warp_zero))		
		
    # Recast the x and y points into usable format for cv2.fillPoly()
    pts_left = np.array([np.transpose(np.vstack([
                         self.left_fitx, self.ploty]))])
    pts_right = np.array([np.flipud(np.transpose(np.vstack([
                          self.right_fitx, self.ploty])))])
    pts = np.hstack((pts_left, pts_right))
		
    # Draw lane on the warped blank image
    cv2.fillPoly(color_warp, np.int_([pts]), (0,255, 0))

    # Warp the blank back to original image space using inverse perspective 
    # matrix (Minv)
    newwarp = cv2.warpPerspective(color_warp, self.inv_transformation_matrix, (
                                  self.orig_frame.shape[
                                  1], self.orig_frame.shape[0]))
    
    # Combine the result with the original image
    result = cv2.addWeighted(self.orig_frame, 1, newwarp, 0.3, 0)
		
    if plot==True:
     
      # Plot the figures 
      figure, (ax1, ax2) = plt.subplots(2,1) # 2 rows, 1 column
      figure.set_size_inches(10, 10)
      figure.tight_layout(pad=3.0)
      ax1.imshow(cv2.cvtColor(self.orig_frame, cv2.COLOR_BGR2RGB))
      ax2.imshow(cv2.cvtColor(result, cv2.COLOR_BGR2RGB))
      ax1.set_title("Original Frame")  
      ax2.set_title("Original Frame With Lane Overlay")
      plt.show()   

    return result			
	
  def perspective_transform(self, frame=None, plot=False):
    """
    Perform the perspective transform.
    :param: frame Current frame
    :param: plot Plot the warped image if True
    :return: Bird's eye view of the current lane
    """
    if frame is None:
      frame = self.lane_line_markings
			
    # Calculate the transformation matrix
    self.transformation_matrix = cv2.getPerspectiveTransform(
      self.roi_points, self.desired_roi_points)

    # Calculate the inverse transformation matrix			
    self.inv_transformation_matrix = cv2.getPerspectiveTransform(
      self.desired_roi_points, self.roi_points)

    # Perform the transform using the transformation matrix
    self.warped_frame = cv2.warpPerspective(
      frame, self.transformation_matrix, self.orig_image_size, flags=(
     cv2.INTER_LINEAR))	

    # Convert image to binary
    (thresh, binary_warped) = cv2.threshold(
      self.warped_frame, 127, 255, cv2.THRESH_BINARY)			
    self.warped_frame = binary_warped

    # Display the perspective transformed (i.e. warped) frame
    if plot == True:
      warped_copy = self.warped_frame.copy()
      warped_plot = cv2.polylines(warped_copy, np.int32([
                    self.desired_roi_points]), True, (147,20,255), 3)

      # Display the image
      while(1):
        cv2.imshow('Warped Image', warped_plot)
			
        # Press any key to stop
        if cv2.waitKey(0):
          break

      cv2.destroyAllWindows()	
			
    return self.warped_frame		
	
  def plot_roi(self, frame=None, plot=False):
    """
    Plot the region of interest on an image.
    :param: frame The current image frame
    :param: plot Plot the roi image if True
    """
    if plot == False:
      return
			
    if frame is None:
      frame = self.orig_frame.copy()

    # Overlay trapezoid on the frame
    this_image = cv2.polylines(frame, np.int32([
      self.roi_points]), True, (147,20,255), 3)

    # Display the image
    while(1):
      cv2.imshow('ROI Image', this_image)
			
      # Press any key to stop
      if cv2.waitKey(0):
        break

    cv2.destroyAllWindows()
	
def main():
	
  # Load a frame (or image)
  original_frame = cv2.imread(filename)

  # Create a Lane object
  lane_obj = Lane(orig_frame=original_frame)

  # Perform thresholding to isolate lane lines
  lane_line_markings = lane_obj.get_line_markings()

  # Plot the region of interest on the image
  lane_obj.plot_roi(plot=False)

  # Perform the perspective transform to generate a bird's eye view
  # If Plot == True, show image with new region of interest
  warped_frame = lane_obj.perspective_transform(plot=False)

  # Generate the image histogram to serve as a starting point
  # for finding lane line pixels
  histogram = lane_obj.calculate_histogram(plot=False)	
	
  # Find lane line pixels using the sliding window method 
  left_fit, right_fit = lane_obj.get_lane_line_indices_sliding_windows(
    plot=False)

  # Fill in the lane line
  lane_obj.get_lane_line_previous_window(left_fit, right_fit, plot=False)
	
  # Overlay lines on the original frame
  frame_with_lane_lines = lane_obj.overlay_lane_lines(plot=False)

  # Calculate lane line curvature (left and right lane lines)
  lane_obj.calculate_curvature(print_to_terminal=False)

  # Calculate center offset  																
  lane_obj.calculate_car_position(print_to_terminal=False)
	
  # Display curvature and center offset on image
  frame_with_lane_lines2 = lane_obj.display_curvature_offset(
    frame=frame_with_lane_lines, plot=True)
	
  # Create the output file name by removing the '.jpg' part
  size = len(filename)
  new_filename = filename[:size - 4]
  new_filename = new_filename + '_thresholded.jpg'		
    
  # Save the new image in the working directory
  #cv2.imwrite(new_filename, lane_line_markings)

  # Display the image 
  #cv2.imshow("Image", lane_line_markings) 
	
  # Display the window until any key is pressed
  cv2.waitKey(0) 
	
  # Close all windows
  cv2.destroyAllWindows() 
	
main()

Now that you have all the code to detect lane lines in an image, let’s explain what each piece of the code does.

Isolate Pixels That Could Represent Lane Lines

The first part of the lane detection process is to apply thresholding (I’ll explain what this term means in a second) to each video frame so that we can eliminate things that make it difficult to detect lane lines. By applying thresholding, we can isolate the pixels that represent lane lines.

Glare from the sun, shadows, car headlights, and road surface changes can all make it difficult to find lanes in a video frame or image.

What does thresholding mean? Basic thresholding involves replacing each pixel in a video frame with a black pixel if the intensity of that pixel is less than some constant, or a white pixel if the intensity of that pixel is greater than some constant. The end result is a binary (black and white) image of the road. A binary image is one in which each pixel is either 1 (white) or 0 (black).

Before thresholding:

pavlovsk_railing_of_bridge_yellow_palace_winter
Image Source: Wikipedia

After thresholding:

pavlovsk_railing_of_bridge_yellow_palace_winter_bw_threshold
Image Source: Wikipedia

Thresholding Steps

1. Convert the video frame from BGR (blue, green, red) color space to HLS (hue, saturation, lightness).

There are a lot of ways to represent colors in an image. If you’ve ever used a program like Microsoft Paint or Adobe Photoshop, you know that one way to represent a color is by using the RGB color space (in OpenCV it is BGR instead of RGB), where every color is a mixture of three colors, red, green, and blue. You can play around with the RGB color space here at this website.

The HLS color space is better than the BGR color space for detecting image issues due to lighting, such as shadows, glare from the sun, headlights, etc. We want to eliminate all these things to make it easier to detect lane lines. For this reason, we use the HLS color space, which divides all colors into hue, saturation, and lightness values.

If you want to play around with the HLS color space, there are a lot of HLS color picker websites to choose from if you do a Google search.

2. Perform Sobel edge detection on the L (lightness) channel of the image to detect sharp discontinuities in the pixel intensities along the x and y axis of the video frame. 

Sharp changes in intensity from one pixel to a neighboring pixel means that an edge is likely present. We want to detect the strongest edges in the image so that we can isolate potential lane line edges.

3. Perform binary thresholding on the S (saturation) channel of the video frame. 

Doing this helps to eliminate dull road colors. 

A high saturation value means the hue color is pure. We expect lane lines to be nice, pure colors, such as solid white and solid yellow. Both solid white and solid yellow, have high saturation channel values. 

Binary thresholding generates an image that is full of 0s (black) and 255 (white) intensity values. Pixels with high saturation values (e.g. > 80 on a scale from 0 to 255) will be set to white, while everything else will be set to black.

Feel free to play around with that threshold value. I set it to 80, but you can set it to another number, and see if you get better results.

4. Perform binary thresholding on the R (red) channel of the original BGR video frame. 

This step helps extract the yellow and white color values, which are the typical colors of lane lines. 

Remember, pure white is bgr(255, 255, 255). Pure yellow is bgr(0, 255, 255). Both have high red channel values.

To generate our binary image at this stage, pixels that have rich red channel values (e.g. > 120 on a scale from 0 to 255) will be set to white. All other pixels will be set to black.

5. Perform the bitwise AND operation to reduce noise in the image caused by shadows and variations in the road color.

Lane lines should be pure in color and have high red channel values. The bitwise AND operation reduces noise and blacks-out any pixels that don’t appear to be nice, pure, solid colors (like white or yellow lane lines.)

The get_line_markings(self, frame=None) method in lane.py performs all the steps I have mentioned above.

If you uncomment this line below, you will see the output:

cv2.imshow("Image", lane_line_markings)

To see the output, you run this command from within the directory with your test image and the lane.py and edge_detection.py program.

python lane.py
Image_screenshot_03.01.2021

For best results, play around with this line on the lane.py program. Move the 80 value up or down, and see what results you get.

_, s_binary = edge.threshold(s_channel, (80, 255))

Now that we know how to isolate lane lines in an image, let’s continue on to the next step of the lane detection process.

Apply Perspective Transformation to Get a Bird’s Eye View

We now know how to isolate lane lines in an image, but we still have some problems. Remember that one of the goals of this project was to calculate the radius of curvature of the road lane. Calculating the radius of curvature will enable us to know which direction the road is turning. But we can’t do this yet at this stage due to the perspective of the camera. Let me explain.

Why We Need to Do Perspective Transformation

Imagine you’re a bird. You’re flying high above the road lanes below.  From a birds-eye view, the lines on either side of the lane look like they are parallel.

However, from the perspective of the camera mounted on a car below, the lane lines make a trapezoid-like shape. We can’t properly calculate the radius of curvature of the lane because, from the camera’s perspective, the lane width appears to decrease the farther away you get from the car. 

In fact, way out on the horizon, the lane lines appear to converge to a point (known in computer vision jargon as vanishing point). You can see this effect in the image below:

road_endless_straight_vanishing

The camera’s perspective is therefore not an accurate representation of what is going on in the real world. We need to fix this so that we can calculate the curvature of the land and the road (which will later help us when we want to steer the car appropriately).

How Perspective Transformation Works

perspective_transform

Fortunately, OpenCV has methods that help us perform perspective transformation (i.e. projective transformation or projective geometry). These methods warp the camera’s perspective into a birds-eye view (i.e. aerial view) perspective.

For the first step of perspective transformation, we need to identify a region of interest (ROI). This step helps remove parts of the image we’re not interested in. We are only interested in the lane segment that is immediately in front of the car.

You can run lane.py from the previous section. With the image displayed, hover your cursor over the image and find the four key corners of the trapezoid. 

Write these corners down. These will be the roi_points (roi = region of interest) for the lane. In the code (which I’ll show below), these points appear in the __init__ constructor of the Lane class. They are stored in the self.roi_points variable.

In the following line of code in lane.py, change the parameter value from False to True so that the region of interest image will appear.

lane_obj.plot_roi(plot=True)

Run lane.py

python lane.py

Here is an example ROI output:

ROI-Image_screenshot_03.01.2021

You can see that the ROI is the shape of a trapezoid, with four distinct corners.

trapezoidsvg
Image Source: Wikipedia

Now that we have the region of interest, we use OpenCV’s getPerspectiveTransform and warpPerspective methods to transform the trapezoid-like perspective into a rectangle-like perspective. 

Change the parameter value in this line of code in lane.py from False to True.

warped_frame = lane_obj.perspective_transform(plot=True)

Here is an example of an image after this process. You can see how the perspective is now from a birds-eye view. The ROI lines are now parallel to the sides of the image, making it easier to calculate the curvature of the road and the lane.

warped-image-perspective-transformation

Identify Lane Line Pixels

We now need to identify the pixels on the warped image that make up lane lines. Looking at the warped image, we can see that white pixels represent pieces of the lane lines.

We start lane line pixel detection by generating a histogram to locate areas of the image that have high concentrations of white pixels. 

Ideally, when we draw the histogram, we will have two peaks. There will be a left peak and a right peak, corresponding to the left lane line and the right lane line, respectively.

In lane.py, make sure to change the parameter value in this line of code (inside the main() method) from False to True so that the histogram will display.

histogram = lane_obj.calculate_histogram(plot=True)
histogram-lane-detection

Set Sliding Windows for White Pixel Detection

The next step is to use a sliding window technique where we start at the bottom of the image and scan all the way to the top of the image. Each time we search within a sliding window, we add potential lane line pixels to a list. If we have enough lane line pixels in a window, the mean position of these pixels becomes the center of the next sliding window.

Once we have identified the pixels that correspond to the left and right lane lines, we draw a polynomial best-fit line through the pixels. This line represents our best estimate of the lane lines.

In this line of code, change the value from False to True.

left_fit, right_fit = lane_obj.get_lane_line_indices_sliding_windows(
     plot=True)

Here is the output:

sliding-window-pixels

Fill in the Lane Line

Now let’s fill in the lane line. Change the parameter value on this line from False to True.

lane_obj.get_lane_line_previous_window(left_fit, right_fit, plot=True)

Here is the output:

warped-frame-search-window

Overlay Lane Lines on Original Image

Now that we’ve identified the lane lines, we need to overlay that information on the original image.

Change the parameter on this line form False to True and run lane.py.

frame_with_lane_lines = lane_obj.overlay_lane_lines(plot=True)
overlay-lane-line-original-image

Calculate Lane Line Curvature

radii-of-curvature-1
Image Source: Wikipedia

Now, we need to calculate the curvature of the lane line. Change the parameter value on this line from False to True.

lane_obj.calculate_curvature(print_to_terminal=True)

Here is the output. You can see the radius of curvature from the left and right lane lines:

radii-of-curvature

Calculate the Center Offset

Now we need to calculate how far the center of the car is from the middle of the lane (i.e. the “center offset).

On the following line, change the parameter value from False to True.

lane_obj.calculate_car_position(print_to_terminal=True)

Run the program.

python lane.py

Here is the output. You can see the center offset in centimeters:

center-offset

Display Final Image

Now we will display the final image with the curvature and offset annotations as well as the highlighted lane.

In lane.py, change this line of code from False to True:

frame_with_lane_lines2 = lane_obj.display_curvature_offset(
     frame=frame_with_lane_lines, plot=True)

Run lane.py.

python lane.py

Here is the output:

Image-with-Curvature-and-Offset_screenshot_03.01.2021

You’ll notice that the curve radius is the average of the radius of curvature for the left and right lane lines.

Detect Lane Lines in a Video

Now that we know how to detect lane lines in an image, let’s see how to detect lane lines in a video stream.

All we need to do is make some minor changes to the main method in lane.py to accommodate video frames as opposed to images.

Here is the code for lane.py. It takes a video in mp4 format as input and outputs an annotated image with the lanes.

Troubleshooting

For best results, play around with this line on the lane.py program. Move the 80 value up or down, and see what results you get.

_, s_binary = edge.threshold(s_channel, (80, 255))

If you run the code on different videos, you may see a warning that says “RankWarning: Polyfit may be poorly conditioned”. If you see this warning, try playing around with the dimensions of the region of interest as well as the thresholds.

You can also play with the length of the moving averages. I used a 10-frame moving average, but you can try another value like 5 or 25:

if len(prev_left_fit2) > 10:

Using an exponential moving average instead of a simple moving average might yield better results as well.

That’s it for lane line detection. Keep building!

How to Write a Python Program for NVIDIA Jetson Nano

In this tutorial, we will write a basic Python program for NVIDIA Jetson Nano.

Prerequisites

Install Python

To install Python, open a new terminal window and type:

sudo apt-get install python python3

To find out where the Python interpreter is located, type this command.

which python

You should see:

/usr/bin/python

Install Gedit

Install gedit, a text editor that will enable us to write code in Python.

sudo apt-get install gedit

Install Pip

Let’s begin by installing pip. Pip is a tool that will help us manage software packages for Python.

Software packages are bundles of code written by someone else that are designed to solve a specific problem. Why write code to solve a specific problem from scratch, when someone else has already written code to solve that exact same problem? That is where software packages come into play. They prevent you from having to reinvent the wheel.

Open up a fresh Linux terminal window.

Type the following command to update the list of available packages that can be installed on your system.

sudo apt-get update

Type your password.

Upgrade all the packages. The -y flag in the following command is used to confirm to our computer that we want to upgrade all the packages.

sudo apt-get -y upgrade

Type the following command to check the version of Python you have installed.

python3 --version

My version is 3.6.9. Your version might be different. That’s fine.

Now, let’s install pip.

sudo apt-get install -y python3-pip

If at any point in the future you want to install a Python-related package using pip, you can use the following command:

pip3 install package_name

Create a Virtual Environment

In this section, we will set up a virtual environment. You can think of a virtual environment as an independent workspace with its own set of libraries, settings, packages, and programming language versions installed. 

For example, you might have a project that needs to run using an older version of Python, like Python 2.7. You might have another project that requires Python 3.8. Setting up separate virtual environments for each project will make sure that the projects stay isolated from one another.

Let’s install the virtual environment package. 

sudo apt-get install -y python3-venv

With the software installed, we can now create the virtual environment using the following command. The dot(.) in front of py3venv makes the directory a hidden directory (the dot is optional):

python3 -m venv .py3venv

Type the following command to get a list of all the directories. You should see the .py3venv folder there.

ls -a

List all the contents inside the .py3venv folder.

ls .py3venv/

Now that the virtual environment has been created, we can activate it using the following command:

source ~/.py3venv/bin/activate

Look what happened. There is a prefix on the current line that has the name of the virtual environment we created. This prefix means that the .py3venv virtual environment is currently active.

2021-04-02-155424

When a virtual environment is active that means that when we create software programs here in Python, these programs will use the settings and packages of just this virtual environment. 

Keep your terminal window open. We’re not ready to close it just yet. Move on to the next section so that we can write our first program in Python.

Write a “Hello World” Program

Let’s write a program that does nothing but print “Hello Automatic Addison” (i.e. my version of a “Hello World” program) to the screen.

Create a new folder.

mkdir py_basics

Move to that folder.

cd py_basics

Open a new Python program.

gedit hello_automaticaddison.py

Type the following code in there:

#!/usr/bin/env python 
print("Hello Automatic Addison!")

Save the file, and close it.

See if your file is in there.

ls

Run the program.

python hello_automaticaddison.py
2021-04-02-155716

Deactivate the virtual environment.

deactivate

That’s it. Keep building!

How to Determine the Orientation of an Object Using OpenCV

In this tutorial, we will build a program that can determine the orientation of an object (i.e. rotation angle in degrees) using the popular computer vision library OpenCV.

Real-World Applications

One of the most common real-world use cases of the program we will develop in this tutorial is when you want to develop a pick and place system for robotic arms. Determining the orientation of an object on a conveyor belt is key to determining the appropriate way to grasp the object, pick it up, and place it in another location.

Let’s get started!

Prerequisites

Installation and Setup

Before we get started, let’s make sure we have all the software packages installed. Check to see if you have OpenCV installed on your machine. If you are using Anaconda, you can type:

conda install -c conda-forge opencv

Alternatively, you can type:

pip install opencv-python

Install Numpy, the scientific computing library.

pip install numpy

Find an Image File

Find an image. My input image is 1200 pixels in width and 900 pixels in height. The filename of my input image is input_img.jpg.

input_img_600

Write the Code

Here is the code. It accepts an image named input_img.jpg and outputs an annotated image named output_img.jpg. Pieces of the code pull from the official OpenCV implementation.

import cv2 as cv
from math import atan2, cos, sin, sqrt, pi
import numpy as np

def drawAxis(img, p_, q_, color, scale):
  p = list(p_)
  q = list(q_)

  ## [visualization1]
  angle = atan2(p[1] - q[1], p[0] - q[0]) # angle in radians
  hypotenuse = sqrt((p[1] - q[1]) * (p[1] - q[1]) + (p[0] - q[0]) * (p[0] - q[0]))

  # Here we lengthen the arrow by a factor of scale
  q[0] = p[0] - scale * hypotenuse * cos(angle)
  q[1] = p[1] - scale * hypotenuse * sin(angle)
  cv.line(img, (int(p[0]), int(p[1])), (int(q[0]), int(q[1])), color, 3, cv.LINE_AA)

  # create the arrow hooks
  p[0] = q[0] + 9 * cos(angle + pi / 4)
  p[1] = q[1] + 9 * sin(angle + pi / 4)
  cv.line(img, (int(p[0]), int(p[1])), (int(q[0]), int(q[1])), color, 3, cv.LINE_AA)

  p[0] = q[0] + 9 * cos(angle - pi / 4)
  p[1] = q[1] + 9 * sin(angle - pi / 4)
  cv.line(img, (int(p[0]), int(p[1])), (int(q[0]), int(q[1])), color, 3, cv.LINE_AA)
  ## [visualization1]

def getOrientation(pts, img):
  ## [pca]
  # Construct a buffer used by the pca analysis
  sz = len(pts)
  data_pts = np.empty((sz, 2), dtype=np.float64)
  for i in range(data_pts.shape[0]):
    data_pts[i,0] = pts[i,0,0]
    data_pts[i,1] = pts[i,0,1]

  # Perform PCA analysis
  mean = np.empty((0))
  mean, eigenvectors, eigenvalues = cv.PCACompute2(data_pts, mean)

  # Store the center of the object
  cntr = (int(mean[0,0]), int(mean[0,1]))
  ## [pca]

  ## [visualization]
  # Draw the principal components
  cv.circle(img, cntr, 3, (255, 0, 255), 2)
  p1 = (cntr[0] + 0.02 * eigenvectors[0,0] * eigenvalues[0,0], cntr[1] + 0.02 * eigenvectors[0,1] * eigenvalues[0,0])
  p2 = (cntr[0] - 0.02 * eigenvectors[1,0] * eigenvalues[1,0], cntr[1] - 0.02 * eigenvectors[1,1] * eigenvalues[1,0])
  drawAxis(img, cntr, p1, (255, 255, 0), 1)
  drawAxis(img, cntr, p2, (0, 0, 255), 5)

  angle = atan2(eigenvectors[0,1], eigenvectors[0,0]) # orientation in radians
  ## [visualization]

  # Label with the rotation angle
  label = "  Rotation Angle: " + str(-int(np.rad2deg(angle)) - 90) + " degrees"
  textbox = cv.rectangle(img, (cntr[0], cntr[1]-25), (cntr[0] + 250, cntr[1] + 10), (255,255,255), -1)
  cv.putText(img, label, (cntr[0], cntr[1]), cv.FONT_HERSHEY_SIMPLEX, 0.5, (0,0,0), 1, cv.LINE_AA)

  return angle

# Load the image
img = cv.imread("input_img.jpg")

# Was the image there?
if img is None:
  print("Error: File not found")
  exit(0)

cv.imshow('Input Image', img)

# Convert image to grayscale
gray = cv.cvtColor(img, cv.COLOR_BGR2GRAY)

# Convert image to binary
_, bw = cv.threshold(gray, 50, 255, cv.THRESH_BINARY | cv.THRESH_OTSU)

# Find all the contours in the thresholded image
contours, _ = cv.findContours(bw, cv.RETR_LIST, cv.CHAIN_APPROX_NONE)

for i, c in enumerate(contours):

  # Calculate the area of each contour
  area = cv.contourArea(c)

  # Ignore contours that are too small or too large
  if area < 3700 or 100000 < area:
    continue

  # Draw each contour only for visualisation purposes
  cv.drawContours(img, contours, i, (0, 0, 255), 2)

  # Find the orientation of each shape
  getOrientation(c, img)

cv.imshow('Output Image', img)
cv.waitKey(0)
cv.destroyAllWindows()
 
# Save the output image to the current directory
cv.imwrite("output_img.jpg", img)

Output Image

Here is the result:

output_img_600-1

Understanding the Rotation Axes

The positive x-axis of each object is the red line. The positive y-axis of each object is the blue line

The global positive x-axis goes from left to right horizontally across the image. The global positive z-axis points out of this page. The global positive y-axis points from the bottom of the image to the top of the image vertically.

Using the right-hand rule to measure rotation, you stick your four fingers out straight (index finger to pinky finger) in the direction of the global positive x-axis.

right-hand-ruleJPG

You then rotate your four fingers 90 degrees counterclockwise. Your fingertips point towards the positive y-axis, and your thumb points out of this page towards the positive z-axis.

right-hand-rule-curlJPG

Calculate an Orientation Between 0 and 180 Degrees

If we want to calculate the orientation of an object and make sure that the result is always between 0 and 180 degrees, we can use this code:

# This programs calculates the orientation of an object.
# The input is an image, and the output is an annotated image
# with the angle of otientation for each object (0 to 180 degrees)

import cv2 as cv
from math import atan2, cos, sin, sqrt, pi
import numpy as np

# Load the image
img = cv.imread("input_img.jpg")

# Was the image there?
if img is None:
  print("Error: File not found")
  exit(0)

cv.imshow('Input Image', img)

# Convert image to grayscale
gray = cv.cvtColor(img, cv.COLOR_BGR2GRAY)

# Convert image to binary
_, bw = cv.threshold(gray, 50, 255, cv.THRESH_BINARY | cv.THRESH_OTSU)

# Find all the contours in the thresholded image
contours, _ = cv.findContours(bw, cv.RETR_LIST, cv.CHAIN_APPROX_NONE)

for i, c in enumerate(contours):

  # Calculate the area of each contour
  area = cv.contourArea(c)

  # Ignore contours that are too small or too large
  if area < 3700 or 100000 < area:
    continue

  # cv.minAreaRect returns:
  # (center(x, y), (width, height), angle of rotation) = cv2.minAreaRect(c)
  rect = cv.minAreaRect(c)
  box = cv.boxPoints(rect)
  box = np.int0(box)

  # Retrieve the key parameters of the rotated bounding box
  center = (int(rect[0][0]),int(rect[0][1])) 
  width = int(rect[1][0])
  height = int(rect[1][1])
  angle = int(rect[2])

  	
  if width < height:
    angle = 90 - angle
  else:
    angle = -angle
		
  label = "  Rotation Angle: " + str(angle) + " degrees"
  textbox = cv.rectangle(img, (center[0]-35, center[1]-25), 
    (center[0] + 295, center[1] + 10), (255,255,255), -1)
  cv.putText(img, label, (center[0]-50, center[1]), 
    cv.FONT_HERSHEY_SIMPLEX, 0.7, (0,0,0), 1, cv.LINE_AA)
  cv.drawContours(img,[box],0,(0,0,255),2)

cv.imshow('Output Image', img)
cv.waitKey(0)
cv.destroyAllWindows()
 
# Save the output image to the current directory
cv.imwrite("min_area_rec_output.jpg", img)

Here is the output:

min_area_rec_output

That’s it. Keep building!