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CVPR
2005
IEEE

On the Absolute Quadratic Complex and Its Application to Autocalibration

14 years 4 months ago
On the Absolute Quadratic Complex and Its Application to Autocalibration
This article introduces the absolute quadratic complex formed by all lines that intersect the absolute conic. If denotes the 3 ? 3 symmetric matrix representing the image of that conic under the action of a camera with projection matrix P, it is shown that PP T , where P is the 3?6 line projection matrix associated with P, and is a 6 ? 6 symmetric matrix of rank 3 representing the absolute quadratic complex. This simple relation between a camera's intrinsic parameters, its projection matrix expressed in a projective coordinate frame, and the metric upgrade separating this frame from a metric one--as respectively captured by the matrices , P, and --provides a new framework for autocalibration, particularly well suited to typical digital cameras with rectangular or square pixels since the skew and aspect ratio are decoupled from the other intrinsic parameters in .
Jean Ponce, Kenton McHenry, Théodore Papado
Added 12 Oct 2009
Updated 12 Oct 2009
Type Conference
Year 2005
Where CVPR
Authors Jean Ponce, Kenton McHenry, Théodore Papadopoulo, Monique Teillaud, Bill Triggs
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