Hough Transform for Circles

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  • เผยแพร่เมื่อ 25 ธ.ค. 2024

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  • @ramkumarsakthivel9412
    @ramkumarsakthivel9412 4 ปีที่แล้ว +2

    Great video... there is a small mistake in the equation of the circle. It should be (x-a)^2+(y-b)^2=r^2 and not just r.

    • @pratikian
      @pratikian  4 ปีที่แล้ว +3

      You are right. Thanks for pointing it out.

  • @ohmy__gah159
    @ohmy__gah159 ปีที่แล้ว

    This helped me greatly to understand Hough Transform! Thank you

    • @pratikian
      @pratikian  ปีที่แล้ว

      Happy to help 😇

  • @kevinpriestley0110
    @kevinpriestley0110 3 ปีที่แล้ว

    Thank you, you explained it very well.

  • @akainu3668
    @akainu3668 3 ปีที่แล้ว +1

    bro how can i modify your code for general curve like lame curve or an ellipse?

    • @pratikian
      @pratikian  3 ปีที่แล้ว

      At line 14, 15 you will have to change the xp and yp
      xp=a*cos(ang);
      yp=b*sin(ang);
      where a is the major axis and b is the minor axis of ellipse. You can put the parametric equation of the curve you want to find here.

    • @akainu3668
      @akainu3668 3 ปีที่แล้ว

      @@pratikian thanks a lot for replying bro actually I had to do this for lame curve so can you help me with some code for it, as on net very complex codes are there

    • @pratikian
      @pratikian  3 ปีที่แล้ว

      @@akainu3668 I could try

  • @drpiyushjoshi4544
    @drpiyushjoshi4544 2 หลายเดือนก่อน

    Thank you very much

  • @nehar8729
    @nehar8729 2 ปีที่แล้ว

    excellent explanation

  • @ayushprakash3890
    @ayushprakash3890 4 ปีที่แล้ว +2

    correction : in the first slide, the equation of the circle should contain r^2 and not r

    • @pratikian
      @pratikian  4 ปีที่แล้ว

      Yes you are right. Thanks for pointing it out 😇

  • @christianbarnes8963
    @christianbarnes8963 4 ปีที่แล้ว

    How did you implement detection of more than one circle with different radius

    • @pratikian
      @pratikian  4 ปีที่แล้ว +1

      So for that you can make a vector of the radius of the different circles that is there in the image and run the algo for each radius

    • @christianbarnes8963
      @christianbarnes8963 4 ปีที่แล้ว

      @@pratikian can you help me out with it in your implementation to see how it will work I tried using a for loop but so many smaller circles

    • @pratikian
      @pratikian  4 ปีที่แล้ว +1

      Okay I will try. Acctually my code is not very robust meanwhile you can also try other implementations
      in.mathworks.com/matlabcentral/fileexchange/4985-circle-detection-via-standard-hough-transform
      Hope that helps

    • @christianbarnes8963
      @christianbarnes8963 4 ปีที่แล้ว

      All right thank you

  • @sl3w
    @sl3w 4 ปีที่แล้ว

    I dont understand. I have fixed R and I know x, y point of edge. How I can get(calculate) a and b to increment accumulator? Which a, b I must use? Which range of a,b? From what to what?

    • @sl3w
      @sl3w 4 ปีที่แล้ว +1

      Am I right? I fixing a: a_min = X - R; a_max = X + R;
      after that I do
      for (i = a_min; i

    • @pratikian
      @pratikian  4 ปีที่แล้ว

      So what do X and Y mean here? Apart from that I feel that the algorithm is fine it should work.
      here is an algorithm that I had used.
      first define a circle with radius r.
      ang=0:0.1:2*pi;
      xp=r*cos(ang);
      yp=r*sin(ang);
      Now we just have to move this circle so that it centers at the edge point (x,y).
      Now make an accumulator matrix which is of size (m+2*r, n+2*r) (where the image size is m x n )
      now run a for loop for all the edge points x,y detected
      make the circle in the accumulator matrix centered at every edge point (x,y)
      v = x + xp;
      w = y + yp;
      increment the accumulator at v,w position
      accumulator(v,w) += 1;
      Finally choose the point which is having the maximum value in the accumulator.
      That is the required center of the circle.
      here you can see the matlab code for the above algorithm
      drive.google.com/drive/u/0/folders/1UTIgcj0Z-dKo67zNZj8qwmueH0g3OPp0

  • @akainu3668
    @akainu3668 3 ปีที่แล้ว +1

    also can you explain ur code?

    • @pratikian
      @pratikian  3 ปีที่แล้ว +1

      here is an algorithm that I had used.
      first define a circle with radius r.
      ang=0:0.1:2*pi;
      xp=r*cos(ang);
      yp=r*sin(ang);
      Now we just have to move this circle so that it centers at the edge point (x,y).
      Now make an accumulator matrix which is of size (m+2*r, n+2*r) (where the image size is m x n )
      now run a for loop for all the edge points x,y detected
      make the circle in the accumulator matrix centered at every edge point (x,y)
      v = x + xp;
      w = y + yp;
      increment the accumulator at v,w position
      accumulator(v,w) += 1;
      Finally choose the point which is having the maximum value in the accumulator.
      That is the required center of the circle.
      here you can see the matlab code for the above algorithm
      drive.google.com/drive/u/0/folders/1UTIgcj0Z-dKo67zNZj8qwmueH0g3OPp0

    • @pratikian
      @pratikian  3 ปีที่แล้ว

      You can also look at some other implementations my code is not very Robust
      in.mathworks.com/matlabcentral/fileexchange/4985-circle-detection-via-standard-hough-transform

  • @chetaniske9108
    @chetaniske9108 3 ปีที่แล้ว

    can i get all coordinates of (a,b)

    • @pratikian
      @pratikian  3 ปีที่แล้ว

      I did not get your question. What do you mean by all the co ordinates of (a,b)

    • @chetaniske9108
      @chetaniske9108 3 ปีที่แล้ว

      @@pratikian yes I want all centes coordinates in a given image for all detected circles

  • @jtrtsay
    @jtrtsay 3 ปีที่แล้ว

    sooo good!

  • @jm10oct
    @jm10oct 3 ปีที่แล้ว

    THANK YOU

  • @royalzak4019
    @royalzak4019 4 ปีที่แล้ว

    Thanks man i am going to practice over here

  • @surajpatil3247
    @surajpatil3247 4 ปีที่แล้ว

    greatttttttttttttttttttttttttt

  • @chetanahadadi3089
    @chetanahadadi3089 4 ปีที่แล้ว

    can you please share me the code

    • @pratikian
      @pratikian  4 ปีที่แล้ว

      Sure here is the link for the matlab code
      drive.google.com/drive/mobile/folders/1UTIgcj0Z-dKo67zNZj8qwmueH0g3OPp0?usp=sharing
      This code is not very robust it is for a constant r , it is good for understanding purpose

  • @happypumpkinpm7434
    @happypumpkinpm7434 ปีที่แล้ว

    Great video, thanks for the explanation. I have a question regarding your code, I wonder if your code is based on hough circle for unknown radius? how do you draw the accumulator array for an unknown radius? your code: drive.google.com/drive/u/0/folders/1UTIgcj0Z-dKo67zNZj8qwmueH0g3OPp0