Title :
Extraction of 3D shape from optic flow: a geometric approach
Author :
Dijkstra, T.M.H. ; Snoeren, P.R. ; Gielen, C.C.A.M.
Author_Institution :
Lab. of Med. Phys. & Biophys., Nijmegen Univ., Netherlands
Abstract :
Several 3D shape measures are derived directly from the velocity field generated by a rigid curved surface patch under perspective projection. We use invariance under rotation of the image plane to decompose the velocity field into differential invariants. From a combination of these invariants, we construct an approximation to the absolute value of the shape index, to the curvature, and to the principal direction. We show the effect of these approximations to be small for a 6° field-of-view
Keywords :
computational geometry; invariance; mathematical morphology; motion estimation; 3D shape extraction; 3D shape measures; approximations; curvature; differential invariants; field-of-view; geometric approach; image plane; optic flow; perspective projection; principal direction; rigid curved surface patch; rotational invariance; shape index; structure from motion; velocity field; Computational geometry; Image motion analysis; Morphological operations;
Conference_Titel :
Computer Vision and Pattern Recognition, 1994. Proceedings CVPR '94., 1994 IEEE Computer Society Conference on
Conference_Location :
Seattle, WA
Print_ISBN :
0-8186-5825-8
DOI :
10.1109/CVPR.1994.323820
