python + cv2 - determine radius of bright spot in image - python

I already have code that can detect the brightest point in an image (just gaussian blurring + finding the brightest pixel). I am working with photographs of sunsets, and right now can very easily get results like this:
My issue is that the radius of the circle is tied to how much gaussian blur i use - I would like to make it so that the radius reflects the size of the sun in the photo (I have a dataset of ~500 sunset photos I am trying to process).
Here is an image with no circle:
I don't even know where to start on this, my traditional computer vision knowledge is lacking.. If I don't get an answer I might try and do something like calculate the distance from the center of the circle to the nearest edge (using canny edge detection) - if there is a better way please let me know. Thank you for reading

Here is one way to get a representative circle in Python/OpenCV. It finds the minimum enclosing circle.
Read the input
Crop out the white on the right side
Convert to gray
Apply median filtering
Do Canny edge detection
Get the coordinates of all the white pixels (canny edges)
Compute minimum enclosing circle to get center and radius
Draw a circle with that center and radius on a copy of the input
Save the result
Input:
import cv2
import numpy as np
# read image as grayscale
img = cv2.imread('sunset.jpg')
hh, ww = img.shape[:2]
# shave off white region on right side
img = img[0:hh, 0:ww-2]
# convert to gray
gray = cv2.cvtColor(img,cv2.COLOR_BGR2GRAY)
# median filter
median = cv2.medianBlur(gray, 3)
# do canny edge detection
canny = cv2.Canny(median, 100, 200)
# get canny points
# numpy points are (y,x)
points = np.argwhere(canny>0)
# get min enclosing circle
center, radius = cv2.minEnclosingCircle(points)
print('center:', center, 'radius:', radius)
# draw circle on copy of input
result = img.copy()
x = int(center[1])
y = int(center[0])
rad = int(radius)
cv2.circle(result, (x,y), rad, (255,255,255), 1)
# write results
cv2.imwrite("sunset_canny.jpg", canny)
cv2.imwrite("sunset_circle.jpg", result)
# show results
cv2.imshow("median", median)
cv2.imshow("canny", canny)
cv2.imshow("result", result)
cv2.waitKey(0)
Canny Edges:
Resulting Circle:
center: (265.5, 504.5) radius: 137.57373046875
Alternate
Fit ellipse to Canny points and then get the average of the two ellipse radii for the radius of the circle. Note a slight change in the Canny arguments to get only the top part of the sunset.
import cv2
import numpy as np
# read image as grayscale
img = cv2.imread('sunset.jpg')
hh, ww = img.shape[:2]
# shave off white region on right side
img = img[0:hh, 0:ww-2]
# convert to gray
gray = cv2.cvtColor(img,cv2.COLOR_BGR2GRAY)
# median filter
median = cv2.medianBlur(gray, 3)
# do canny edge detection
canny = cv2.Canny(median, 100, 250)
# transpose canny image to compensate for following numpy points as y,x
canny_t = cv2.transpose(canny)
# get canny points
# numpy points are (y,x)
points = np.argwhere(canny_t>0)
# fit ellipse and get ellipse center, minor and major diameters and angle in degree
ellipse = cv2.fitEllipse(points)
(x,y), (d1,d2), angle = ellipse
print('center: (', x,y, ')', 'diameters: (', d1, d2, ')')
# draw ellipse
result = img.copy()
cv2.ellipse(result, (int(x),int(y)), (int(d1/2),int(d2/2)), angle, 0, 360, (0,0,0), 1)
# draw circle on copy of input of radius = half average of diameters = (d1+d2)/4
rad = int((d1+d2)/4)
xc = int(x)
yc = int(y)
print('center: (', xc,yc, ')', 'radius:', rad)
cv2.circle(result, (xc,yc), rad, (0,255,0), 1)
# write results
cv2.imwrite("sunset_canny_ellipse.jpg", canny)
cv2.imwrite("sunset_ellipse_circle.jpg", result)
# show results
cv2.imshow("median", median)
cv2.imshow("canny", canny)
cv2.imshow("result", result)
cv2.waitKey(0)
Canny Edge Image:
Ellipse and Circle drawn on Input:

Use Canny edge first. Then try either Hough circle or Hough ellipse on the edge image. These are brute force methods, so they will be slow, but they are resistant to non-circular or non-elliptical contours. You can easily filter results such that the detected result has a center near the brightest point. Also, knowing the estimated size of the sun will help with computation speed.
You can also look into using cv2.findContours and cv2.approxPolyDP to extract continuous contours from your images. You could filter by perimeter length and shape and then run a least squares fit, or Hough fit.
EDIT
It may be worth trying an intensity filter before the Canny edge detection. I suspect it will clean up the edge image considerably.

Related

How to detect circle defects?

Is there any way to tell if a circle has such defects? Roundness does not work. Or is there a way to eliminate them?
perimeter = cv2.arcLength(cnts[0],True)
area = cv2.contourArea(cnts[0])
roundness = 4*pi*area/(perimeter*perimeter)
print("Roundness:", roundness)
The "roundness" measure is sensitive to a precise estimate of the perimeter. What cv2.arcLength() does is add the lengths of each of the polygon edges, which severely overestimates the length of outlines. I think this is the main reason that this measure hasn't worked for you. With a better perimeter estimator you would get useful results.
An alternative measure that might be more useful is "circularity", defined as the coefficient of variation of the radius. In short, you compute the distance of each polygon vertex (i.e. outline point) to the centroid, then determine the coefficient of variation of these distances (== std / mean).
I wrote a quick Python script to compute this starting from an OpenCV contour:
import cv2
import numpy as np
# read in OP's example image, making sure we ignore the red arrow
img = cv2.imread('jGssp.png')[:, :, 1]
_, img = cv2.threshold(img, 127, 255, 0)
# get the contour of the shape
contours, hierarchy = cv2.findContours(img, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_NONE)
contour = contours[0][:, 0, :]
# add the first point as the last, to close it
contour = np.concatenate((contour, contour[0, None, :]))
# compute centroid
def cross_product(v1, v2):
"""2D cross product."""
return v1[0] * v2[1] - v1[1] * v2[0]
sum = 0.0
xsum = 0.0
ysum = 0.0
for ii in range(1, contour.shape[0]):
v = cross_product(contour[ii - 1, :], contour[ii, :])
sum += v
xsum += (contour[ii - 1, 0] + contour[ii, 0]) * v
ysum += (contour[ii - 1, 1] + contour[ii, 1]) * v
centroid = np.array([ xsum, ysum ]) / (3 * sum)
# Compute coefficient of variation of distances to centroid (==circularity)
d = np.sqrt(np.sum((contour - centroid) ** 2, axis=1))
circularity = np.std(d) / np.mean(d)
This make me think of a similar problem that I had. You could compute the signature of the shape. The signature can be defined as, for each pixel of the border of the shape, the distance between this pixel and the center of the shape.
For a perfect circle, the distance from the border to the center should be constant (in an ideal continuous world). When defects are visible on the edge of the circle (either dents or excesses), the ideal constant line changes to a wiggly curve, with huge variation when on the defects.
It's fairly easy to detect those variation with FFT for example, which allows to quantify the defect significance.
You can expand this solution to any given shape. If your ideal shape is a square, you can compute the signature, which will give you some kind of sinusoidal curve. Defects will appear in a same way on the curve, and would be detectable with the same logic as with a circle.
I can't give you an code example, as the project was for a company project, but the idea is still here.
Here is one way to do that in Python/OpenCV.
Read the input
Threshold on white (to remove the red arrow)
Apply Hough Circle
Draw the circle on the thresholded image for comparison
Draw a white filled circle on black background from the circle parameters.
Get the difference between the thresholded image and the drawn circle image
Apply morphology open to remove the ring from the irregular boundary of the original circle
Count the number of white pixels in the previous image as the amount off defect
Input:
import cv2
import numpy as np
# Read image
img = cv2.imread('circle_defect.png')
hh, ww = img.shape[:2]
# threshold on white to remove red arrow
lower = (255,255,255)
upper = (255,255,255)
thresh = cv2.inRange(img, lower, upper)
# get Hough circles
min_dist = int(ww/5)
circles = cv2.HoughCircles(thresh, cv2.HOUGH_GRADIENT, 1, minDist=min_dist, param1=150, param2=15, minRadius=0, maxRadius=0)
print(circles)
# draw circles on input thresh (without red arrow)
circle_img = thresh.copy()
circle_img = cv2.merge([circle_img,circle_img,circle_img])
for circle in circles[0]:
# draw the circle in the output image, then draw a rectangle
# corresponding to the center of the circle
(x,y,r) = circle
x = int(x)
y = int(y)
r = int(r)
cv2.circle(circle_img, (x, y), r, (0, 0, 255), 1)
# draw filled circle on black background
circle_filled = np.zeros_like(thresh)
cv2.circle(circle_filled, (x,y), r, 255, -1)
# get difference between the thresh image and the circle_filled image
diff = cv2.absdiff(thresh, circle_filled)
# apply morphology to remove ring
kernel = cv2.getStructuringElement(cv2.MORPH_ELLIPSE, (5,5))
result = cv2.morphologyEx(diff, cv2.MORPH_OPEN, kernel)
# count non-zero pixels
defect_count = np.count_nonzero(result)
print("defect count:", defect_count)
# save results
cv2.imwrite('circle_defect_thresh.jpg', thresh)
cv2.imwrite('circle_defect_circle.jpg', circle_img)
cv2.imwrite('circle_defect_circle_diff.jpg', diff)
cv2.imwrite('circle_defect_detected.png', result)
# show images
cv2.imshow('thresh', thresh)
cv2.imshow('circle_filled', circle_filled)
cv2.imshow('diff', diff)
cv2.imshow('result', result)
cv2.waitKey(0)
cv2.destroyAllWindows()
Input without Red Arrow:
Red Circle Drawn on Input:
Circle from HoughCircle:
Difference:
Difference Cleaned Up:
Textual Result:
defect count: 500

how to fill the hollow lines opencv

I have an image like this:
after I applied some processings e.g. cv2.Canny(), it looks like this now:
As you can see that the black lines become hollow.
I have tried erosion and dilation, but if I do them many times, the 2 entrances will be closed(meaning become connected line or closed contour).
How could I make those lines solid like the below image while keep the 2 entrances not affected?
Update 1
I have tested the following answers with a few of photos, but the code seems customized to only be able to handle this one particular picture. Due to the restriction of SOF, I cannot upload photos larger than 2MB, so I uploaded them into my Microsoft OneDrive folder for your convenience to test.
https://1drv.ms/u/s!Asflam6BEzhjgbIhgkL4rt1NLSjsZg?e=OXXKBK
Update 2
I picked up #fmw42's post as answer as his answer is the most detailed one. It doesn't answer my question but points out the correct way to process maze which is my ultimate goal. I like his approach of answering questions, firstly tells you what each step should do so that you have a clear idea about how to do the task, then provide the full code example from beginning to end. Very helpful.
Due to the limitation of SOF, I can only pick up one answer. If multiple answers are allowed, I would also pick up Shamshirsaz.Navid's answer. His answer not only points to the correct direction to solve the issue, but also the explanation with visualization really works well for me~! I guess it works equally well for all people who are trying to understand why each line of code is needed. Also he follows up my questions in comments, this makes the SOF a bit interactive :)
The Threshold track bar in Ann Zen's answer is also a very useful tip for people to quickly find out a optimal value.
Here is one way to process the maze and rectify it in Python/OpenCV.
Read the input
Convert to gray
Threshold
Use morphology close to remove the thinnest (extraneous) black lines
Invert the threshold
Get the external contours
Keep on those contours that are larger than 1/4 of both the width and height of the input
Draw those contours as white lines on black background
Get the convex hull from the white contour lines image
Draw the convex hull as white lines on black background
Use GoodFeaturesToTrack to get the 4 corners from the white hull lines image
Sort the 4 corners by angle relative to the centroid so that they are ordered clockwise: top-left, top-right, bottom-right, bottom-left
Set these points as the array of conjugate control points for the input
Use 1/2 the dimensions of the input to define the array of conjugate control points for the output
Compute the perspective transformation matrix
Warp the input image using the perspective matrix
Save the results
Input:
import cv2
import numpy as np
import math
# load image
img = cv2.imread('maze.jpg')
hh, ww = img.shape[:2]
# convert to gray
gray = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)
# threshold
thresh = cv2.threshold(gray, 0, 255, cv2.THRESH_BINARY+cv2.THRESH_OTSU)[1]
# use morphology to remove the thin lines
kernel = cv2.getStructuringElement(cv2.MORPH_RECT , (5,1))
thresh = cv2.morphologyEx(thresh, cv2.MORPH_CLOSE, kernel)
# invert so that lines are white so that we can get contours for them
thresh_inv = 255 - thresh
# get external contours
contours = cv2.findContours(thresh_inv, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE)
contours = contours[0] if len(contours) == 2 else contours[1]
# keep contours whose bounding boxes are greater than 1/4 in each dimension
# draw them as white on black background
contour = np.zeros((hh,ww), dtype=np.uint8)
for cntr in contours:
x,y,w,h = cv2.boundingRect(cntr)
if w > ww/4 and h > hh/4:
cv2.drawContours(contour, [cntr], 0, 255, 1)
# get convex hull from contour image white pixels
points = np.column_stack(np.where(contour.transpose() > 0))
hull_pts = cv2.convexHull(points)
# draw hull on copy of input and on black background
hull = img.copy()
cv2.drawContours(hull, [hull_pts], 0, (0,255,0), 2)
hull2 = np.zeros((hh,ww), dtype=np.uint8)
cv2.drawContours(hull2, [hull_pts], 0, 255, 2)
# get 4 corners from white hull points on black background
num = 4
quality = 0.001
mindist = max(ww,hh) // 4
corners = cv2.goodFeaturesToTrack(hull2, num, quality, mindist)
corners = np.int0(corners)
for corner in corners:
px,py = corner.ravel()
cv2.circle(hull, (px,py), 5, (0,0,255), -1)
# get angles to each corner relative to centroid and store with x,y values in list
# angles are clockwise between -180 and +180 with zero along positive X axis (to right)
corner_info = []
center = np.mean(corners, axis=0)
centx = center.ravel()[0]
centy = center.ravel()[1]
for corner in corners:
px,py = corner.ravel()
dx = px - centx
dy = py - centy
angle = (180/math.pi) * math.atan2(dy,dx)
corner_info.append([px,py,angle])
# function to define sort key as element 2 (i.e. angle)
def takeThird(elem):
return elem[2]
# sort corner_info on angle so result will be TL, TR, BR, BL order
corner_info.sort(key=takeThird)
# make conjugate control points
# get input points from corners
corner_list = []
for x, y, angle in corner_info:
corner_list.append([x,y])
print(corner_list)
# define input points from (sorted) corner_list
input = np.float32(corner_list)
# define output points from dimensions of image, say half of input image
width = ww // 2
height = hh // 2
output = np.float32([[0,0], [width-1,0], [width-1,height-1], [0,height-1]])
# compute perspective matrix
matrix = cv2.getPerspectiveTransform(input,output)
# do perspective transformation setting area outside input to black
result = cv2.warpPerspective(img, matrix, (width,height), cv2.INTER_LINEAR, borderMode=cv2.BORDER_CONSTANT, borderValue=(0,0,0))
# save output
cv2.imwrite('maze_thresh.jpg', thresh)
cv2.imwrite('maze_contour.jpg', contour)
cv2.imwrite('maze_hull.jpg', hull)
cv2.imwrite('maze_rectified.jpg', result)
# Display various images to see the steps
cv2.imshow('thresh', thresh)
cv2.imshow('contour', contour)
cv2.imshow('hull', hull)
cv2.imshow('result', result)
cv2.waitKey(0)
cv2.destroyAllWindows()
Thresholded Image after morphology:
Filtered Contours on black background:
Convex hull and 4 corners on input image:
Result from perspective warp:
You can try a simple threshold to detect the lines of the maze, as they are conveniently black:
import cv2
img = cv2.imread("maze.jpg")
gray = cv2.cvtColor(img, cv2.BGR2GRAY)
_, thresh = cv2.threshold(gray, 60, 255, cv2.THRESH_BINARY)
cv2.imshow("Image", thresh)
cv2.waitKey(0)
Output:
You can adjust the threshold yourself with trackbars:
import cv2
cv2.namedWindow("threshold")
cv2.createTrackbar("", "threshold", 0, 255, id)
img = cv2.imread("maze.jpg")
while True:
gray = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)
t = cv2.getTrackbarPos("", "threshold")
_, thresh = cv2.threshold(gray, t, 255, cv2.THRESH_BINARY)
cv2.imshow("Image", thresh)
if cv2.waitKey(1) & 0xFF == ord("q"): # If you press the q key
break
Canny is an edge detector. It detects the lines along which color changes. A line in your input image has two such transitions, one on each side. Therefore you see two parallel lines on each side of a line in the image. This answer of mine explains the difference between edges and lines.
So, you shouldn’t be using an edge detector to detect lines in an image.
If a simple threshold doesn't properly binarize this image, try using a local threshold ("adaptive threshold" in OpenCV). Another thing that works well for images like these is applying a top hat filter (for this image, it would be a closing(img) - img), where the structuring element is adjusted to the width of the lines you want to find. This will result in an image that is easy to threshold and will preserve all lines thinner than the structuring element.
Check this:
import cv2
import numpy as np
im=cv2.imread("test2.jpg",1)
#convert 2 gray
mask=cv2.cvtColor(im,cv2.COLOR_BGR2GRAY)
#convert 2 black and white
mask=cv2.threshold(mask,127,255,cv2.THRESH_BINARY)[1]
#remove thin lines and texts and then remake main lines
mask=cv2.dilate(mask,np.ones((5, 5), 'uint8'))
mask=cv2.erode(mask,np.ones((4, 4), 'uint8'))
#smooth lines
mask=cv2.medianBlur(mask,3)
#write output mask
cv2.imwrite("mask2.jpg",mask)
From now on, everything can be done. You can delete extra blobs, you can extract lines from the original image according to the mask, and things like that.
Median:
Median changes are not much for this project. And it can be safely removed. But I prefer it because it rounds the ends of the lines a bit. You have to zoom in a lot to see the pixels. But this technique is usually used to remove salt/pepper noise.
Erode Kernel:
In the case of the kernel, the larger the number, the thicker the lines. Well, this is not always good. Because it causes the path lines to stick to the arrow and later it becomes difficult to separate the paths from the arrow.
Update:
It does not matter if part of the Maze is cleared. The important thing is that from this mask you can draw a rectangle around this shape and create a new mask for this image.
Make a white rectangle around these paths in a new mask. Completely whiten the inside of the mask with FloodFill or any other technique. Now you have a new mask that can take the whole shape out of the original image. Now in the next step you can correct Perspective.

Detect contour into the method cv2.Circle

I am developing a project and would like a little help. I am using opencv + python for image processing, I use the Canny method to extract the edges of a can and I use findContour to draw the contours found by the Canny method ...
I draw the outline found in the image, then create a circle using the cv.Circle method as shown in the image:
Image
The red circle is the circle created by the cv.Circle method.
The green circle is the outline found by the Canny method.
What I need now is to know if it is possible to identify whether any part of the green outline is into the red circle, is it possible to make this identification?
Script used:
gray = cv2.cvtColor (image, cv2.COLOR_BGR2GRAY)
gray = cv2.blur (gray, (3, 3))
edged = cv2.Canny (gray, canny1, canny1 * 3, kernel)
outline, hierarchy = cv2.findContours (edged, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE)
areas = [cv2.contourArea (contour) for contour in contour]
if areas:
(contour, areas) = ​​zip (* sorted (zip (contour, areas), key = lambda a: a [1]))
cnt = outline [-1]
#print (areas)
(x, y), radius = cv2.minEnclosingCircle (cnt)
center = (int (x), int (y))
radius = int (radius)
circle = cv2.circle (image, center, radius - 10, (0,0,255), 2)
circle = cv2.circle (image, center, radius + 10, (0,0,255), 2)
cv2.drawContours (image, [outline [-1]], -1, (0, 255, 0), 2)
cv2.imshow ('Canny Edges After Contouring', edged)
cv2.imshow ('Contours', image)
Approach 1
According to OpenCV Documentation,
contours – Detected contours. Each contour is stored as a vector of points.
You can manually calculate the points of the circle (or annulus in your case)
Now that you have both the points, you can perform an intersection of both
And then later plot the intersection
Approach 2
Generate 2 Different images of a fixed colour other than green and red
One with Circles and contours on them (your current image) (green and red)
Now remove all Red Color from Image and replace it with the background color
Generate an Image with the Contours (green)
Find the absolute difference between both the images
Et viola. What remains are indeed your points
Test each (x,y) point on the contour relative to the center of the circle and its radius:
if (x-center_x)**2 + (y-center_y)**2 <= radius**2:
# inside circle

Locate the coordinate based on change in pixel color

I am trying to locate specific coordinates in an image. I have an image that contains only 2 colours, pink and black as shown in the image. If I know an (x,y) coordinate in the pink region (marked in yellow dot at the centre) how can I find the coordinates that are in the boundary of the pink region(as shown in yellow dots at the boundary).
NB: The yellow dots are not part of the image and I'm using this just to represent the region of interest.
I just want to know whether there is any fast and better approach for doing this other than nested for loops which may really slow down the process because I've to find the boundary coordinates in multiple regions of the image.
Thank you!
Here is one way using Python/OpenCV and Numpy.
Read the input
Convert to gray
Otsu threshold
Crop the row containing the center
Get all the coordinates in the row that are white
Print the first and last coordinate
Draw line on input
Save results
Input:
import cv2
import numpy as np
# load image
img = cv2.imread("pink_blob.png")
hh, ww = img.shape[:2]
# convert to gray
gray = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)
# threshold
thresh = cv2.threshold(gray, 0, 255, cv2.THRESH_BINARY+cv2.THRESH_OTSU)[1]
# center coords
center = (115,82)
cy = center[1]
# crop row at y center
row = thresh[cy:cy+1, 0:ww]
# get coordinates along row where it is white
# swap x and y between numpy and opencv coords
coords = np.argwhere(row==255)
num_coords = len(coords)
start = coords[0]
end = coords[num_coords-1]
start_pt = (start[1],cy)
end_pt = (end[1],cy)
print(start_pt)
print(end_pt)
# draw line from start to end coordinates on input
result = img.copy()
cv2.line(result, start_pt, end_pt, (255,255,255), 1)
# save result
cv2.imwrite('pink_blob_line.png', result)
# show result
cv2.imshow('result', result)
cv2.waitKey(0)
Start and End Coordinates:
(67, 82)
(160, 82)
Line on input image:
First of all, find contour of the pink region in the image. You can do this by first applying Otsu's thresholding on the image and then find contours using cv2.findContours().
Then in the contour boundary points, find the points having the same y-coordinate as that of the center pixel.
Among these points, point with the maximum x-coordinate will be the point on the right and point with minimum x-coordinate will be the point on the left.

Find coordinates of contours

I'm trying to find the coordinates of each corner of a given rectangle.
So far I've been able to obtain two corners using the contours function, but when I look through the whole contour array there is an abundance of points to sift through. I'm only looking for the most extreme values (max and min x- and y-values)
import cv2
import numpy as np
#open image
img = cv2.imread('cnt-coords.jpg')
#convert to black and white
bw = cv2.cvtColor(img,cv2.COLOR_BGR2GRAY)
#threshold image
ret, thresh = cv2.threshold(bw,127,255,0)
#find contours
im2, contours, hierarchy = cv2.findContours(thresh,cv2.RETR_TREE,cv2.CHAIN_APPROX_SIMPLE)
#obtain the first 2 points of contours
cntx1 = contours[0][0]
cntx = contours[0][1]
#convert coords to points
pt1 = (cntx1[0][0],cntx1[0][1])
pt2 = (cntx[0][0],cntx[0][1])
#draw circles on coordinates
cv2.circle(img,pt1,5,(0,255,0),-1)
cv2.circle(img,pt2, 5, (0,255,0),-1)
#display the image
cv2.imshow('f',img)
cv2.waitKey(0)
cv2.destroyAllWindows()
I sifted through what contours returns to me and its a huge array of points, which seems to be all the points along the diagonal of my image. Is there any way to simplify which points I'm receiving, in this case the corners of this rectangle/parallelogram?
findContours function returns pixels on the contour. You can try approxPolyDP function of OpenCV to find a polygonal approximation to the contour. The usage and explanation can be found here. In your case it would be something like the following:
epsilon = cv2.arcLength(contours[0],True)
approx = cv2.approxPolyDP(contours[0],epsilon,True)

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