Direct linear transformation: Difference between revisions

Revision as of 21:58, 4 August 2007

Revision as of 10:03, 5 August 2007

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where <math> \mathbf{x}_{k} </math> and <math> \mathbf{y}_{k} </math> are known vectors, <math> \, \sim </math> denotes equality up to an unkown scalar multiplication, and <math> \mathbf{A} </math> is a matrix (or linear transformation) which contains the unknowns to be solved.

This type of relation appearappears frequently in [[projective geometry]]. Practical examples are the relation between 3D points in a scene and their projection onto the image plane of a [[Pinhole camera model|pinhole camera]] and [[Homography|homographies]].

== Introduction ==