Conversion of conics parameters

version (2.28 KB) by Hui Ma
Converting between algebraic parameters and geometric parameters of conics


Updated Wed, 06 Jul 2011 19:21:57 +0000

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An ellipse or hyperbola can be uniquely defined by 5 parameters, center(Xc,Yc), semiaxes a and b,and angle of tilt θ. so(Xc,Yc,a,b,θ)is known as standard geometric parameter vector.

Also, a general conic can be uniquely describe by the following equation up to a scale factor: Ax^2+Bxy+Cy^2+Dx+Ey+F=0
Then (A,B,C,D,E,F) is often called algebraic parameter vector of the conic.

This package includes two programs "AtoG" and "GtoA" which enable us to convert between these two different parametrization schemes.

Cite As

Hui Ma (2022). Conversion of conics parameters (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2008a
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Inspired: fitconicsections package

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