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Highlights from
quadforms

  • E=c2h(Q,c) E=c2h(Q,c); Transforms a quadratic surface from center to homogeneous form.
  • [Q,c]=h2c(E) [Q,c]=h2c(E); Transforms a quadratic surface from homogeneous to center form.
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quadforms

by Giampiero Campa

 

10 Nov 2009 (Updated 20 Oct 2010)

Convert quadratics from Homogeneous to Center form and back.

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Description

This zip file contains 2 functions to transform generic (nD) quadratic hyper-surfaces from homogeneous form (that is [x' 1]*E*[x;1]=0) to center form (that is (x'-c')*inv(Q)*(x-c)=1, which is used for example in the ellipsoidal toolbox).

Examples:
% zero-centered ellipse of semiaxes 1 and 2
% center to homogeneous form:
E=c2h(diag([1 4]),[0 0]')
% homogeneous to center form:
[Q,c]=h2c(E)

MATLAB release MATLAB 7.9 (2009b)
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Updates
20 Oct 2010

Added BSD license file
Tag Activity for this File
Tag Applied By Date/Time
mathematics Giampiero Campa 12 Nov 2009 09:29:58
geometry Giampiero Campa 12 Nov 2009 09:29:58
algebra Giampiero Campa 12 Nov 2009 09:29:58
quadratic Giampiero Campa 12 Nov 2009 09:29:58

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