# Conics intersection (Scripts) 1.0

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• Last update: 5 years ago
• Operating system: Linux, Mac OS X, Win All, BSD, Solaris
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## Conics intersection (Scripts) Publisher's description

### The homogeneous representation of a conic is a matrix

http://www.pigei.com/conics-intersection

The homogeneous representation of a conic is a matrix
m = [A C D; C B E; D E F] that represents the equation
A x^2 + B y^2 + 2C xy + 2D x + 2Ey + F = 0

Given two matrix E1 and E2 representing two conics, the code will detect all their intersections.

For instance:
___________________
%a circle centered in the origin
E1 = [1 0 0; 0 1 0; 0 0 -3]

%an ellipse centered in the origin
E2 = [1 0 0; 0 3 0; 0 0 -6]

%get the four homogeneous intersections
P = intersectConics(E1, E2)

%plot the normalized points
plot(P(1,:) ./ P(3,:) , P(2,:) ./ P(3,:), 'ro');
___________________

-- Changes history

v.1.0.2: bug fixes (characteristic polynom)

#### System Requirements:

MATLAB 7.6 (R2008a)
Program Release Status: Major Update
Program Install Support: Install and Uninstall

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