ISSN:
1573-7683
Keywords:
affine geometry
;
projective geometry
;
computer vision
;
shape representation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract This paper shows how an affine representation of spatial configuration is obtained from a pair of projection views. Calibration of cameras and knowledge of the camera's motion are not necessary; however, some preselected reference points and their correspondences are needed. Projective and affine geometry invariants are trickily manipulated to do the affine reconstruction. The method is thus geometrically constructive. When it is compared with the solution proposed in 1989 by J.J. Koenderink and A.J. Van Doorn (“Affine Structure from Motion,” Technical Report, Utrect University), the method provides a viewpoint-independent affine representation under parallel projections. Further, we investigate the central-projection case in which, with three additional special reference points, the same affine reconstruction can be done. We also discuss some important applications of this viewpoint independence of shape representation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00122209
Permalink
