Dvoretzky's theorem: Difference between revisions

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{{unreferenced|date=September 2012}}
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'''Plucker matrices''' are a representation of a [[line (mathematics)|line]] used in relation to [[Three-dimensional space|3D]] [[homogeneous coordinates]]. Specifically, a Plucker [[Matrix (mathematics)|matrix]] is a 4&times;4 skew-symmetric homogeneous matrix, defined as <math>\mathbf{P} = AB^T - BA^T</math>, where <math>A</math> and <math>B</math> 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]
 
 
 
[[Category:Algebraic geometry]]
 
 
{{geometry-stub}}

Latest revision as of 19:53, 2 December 2014

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