Conics intersection: crossMatrix(p) - File Exchange

Code covered by the BSD License

Highlights from
Conics intersection

adjointSym3(M) adjointSym3 - recover the adjoint matrix of a 3x3 symmetric matrix
crossMatrix(p) crossMatrix - given a homogeneous point generates the skew symmetric
decomposeDegenerateConic(c) decomposeDegenerateConic - decompose in two lines the given degenerate
getPointsOnLine(l) getPointsOnLine - given an homogeneous line return two homogeneous points on it
intersectConicLine(C, l) intersectConicLine - given a line and a conic detect the real intersection
intersectConics(E1, E2) intersectConics - intersects two non degenerate conics
View all files

from Conics intersection by Pierluigi Taddei
Given the homogeneous matrices of two conics it recovers the (up to) four intersection points

crossMatrix(p)

% crossMatrix - given a homogeneous point generates the skew symmetric
% matrix form used in cross products: p x q -> Mp . q
%          - Pierluigi Taddei (pierluigi.taddei@polimi.it)
%
% Usage:   Mp = adjoint3(M)
%
% Arguments:
%           p - homogeneous 2d point
%           Mp - 3x3 skew symmetric matrix
% 08.3.2007 : Created
%
function Mp = crossMatrix(p)
    Mp = zeros(3,3);
    Mp(1,2) = p(3);
    Mp(1,3) = -p(2);
    Mp(2,1) = -p(3);
    Mp(2,3) = p(1);
    Mp(3,1) = p(2);
    Mp(3,2) = -p(1);
end

Highlights from Conics intersection

Highlights from
Conics intersection