Plucker matrix

Plucker matrix

Plucker matrices are a representation of a line used in relation to 3D homogeneous coordinates. Specifically, a Plucker matrix is a 4×4 skew-symmetric homogeneous matrix, defined as mathbf{P} = AB^T - BA^T, where A and B are two homogeneous coordinates on the line.

P has rank 2. Its 2 dimensional null-space is spanned by the pencil of planes with the line as axis. It has 4 degrees of freedom.

External links

* [http://cgafaq.info/wiki/Plucker_Coordinates A short tutorial]


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