1997 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'97)
Autocalibration and the absolute quadric
Puerto Rico
June 17-June 19
ISBN: 0-8186-7822-4
The author describes a new method for camera autocalibration and scaled Euclidean structure and motion, from three or more views taken by a moving camera with fixed but unknown intrinsic parameters. The motion constancy of these is used to rectify an initial projective reconstruction. Euclidean scene structure is formulated in terms of the absolute quadric-the singular dual 3D quadric (4/spl times/4 rank 3 matrix) giving the Euclidean dot-product between plane normals. This is equivalent to the traditional absolute conic but simpler to use. It encodes both affine and Euclidean structure, and projects very simply to the dual absolute image conic which encodes camera calibration. Requiring the projection to be constant gives a bilinear constraint between the absolute quadric and image conic, from which both can be recovered nonlinearly from m/spl ges/3 images, or quasi-linearly from m/spl ges/4. Calibration and Euclidean structure follow easily. The nonlinear method is stabler, faster, more accurate and more general than the quasi-linear one. It is based on a general constrained optimization technique-sequential quadratic programming-that may well be useful in other vision problems.
Index Terms:
calibration; camera autocalibration; scaled Euclidean structure; scaled Euclidean motion; absolute quadric; moving camera; fixed intrinsic parameters; unknown intrinsic parameters; motion constancy; initial projective reconstruction rectification; Euclidean scene structure; singular dual 3D quadric; Euclidean dot-product; plane normals; affine structure encoding; Euclidean structure encoding; dual absolute image conic; bilinear constraint; constrained optimization technique; sequential quadratic programming; vision problems
Citation:
B. Triggs, "Autocalibration and the absolute quadric," cvpr, pp.609, 1997 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'97), 1997
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