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Pierluigi Taddei

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European Joint Research Centre

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11 Apr 2013 Screenshot Conics intersection Given the homogeneous matrices of two conics it recovers the (up to) four intersection points Author: Pierluigi Taddei conics, conics intersections, degenerate conic, homogeneous coordinat... 20 2
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09 Mar 2013 Conics intersection Given the homogeneous matrices of two conics it recovers the (up to) four intersection points Author: Pierluigi Taddei Shahab

06 Oct 2012 Conics intersection Given the homogeneous matrices of two conics it recovers the (up to) four intersection points Author: Pierluigi Taddei do

I did make a mistake. The matrix of the second conic was wrong so your code cannot find the intersections. I checked my code and I found that the matrix of the second conic should be
E2 =[ -0.1642 0 0.1642;
0 8.8358 -15.4627;
0.1642 -15.4627 26.3578]

After receiving your email, I checked my code and corrected the second matrix. YOUR CODE WORKED PERFECTLY AND GAVE THE EXACT SOLUTION. Here is the result.

http://imageshack.us/a/img401/8209/83223264.png

Thank you very much for sharing your code and I really appreciate your kindness to reply my email and help me solve the problem.

06 Oct 2012 Conics intersection Given the homogeneous matrices of two conics it recovers the (up to) four intersection points Author: Pierluigi Taddei do

the code doesn't work. I tried with two conics having the matrix

E1 =[ 8.5914 0 -15.0350
0 -0.4086 0.4086
-15.0350 0.4086 24.5709]

E2 =[ 8.8358 0 -15.4627
0 -0.1642 0.1642
-15.4627 0.1642 26.3578]

but the result is an empty intersection matrix. Though these two conics have 4 intersections as you can see in the figure I wrote in Matlab

http://imageshack.us/a/img90/4468/38292011.png

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