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Direct computation of qualitative 3-D shape and motion invariants
Weinshall, D.  
Center for Biol. Inf. Process., MIT, Cambridge, MA ;

This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Dec 1991
Volume: 13,  Issue: 12
On page(s): 1236-1240
ISSN: 0162-8828
References Cited: 10
CODEN: ITPIDJ
INSPEC Accession Number: 4093263
Digital Object Identifier: 10.1109/34.106997
Current Version Published: 2002-08-06

Abstract
Structure from motion often refers to the computation of three-dimensional structure from a matched sequence of images. However, a depth map of a surface is difficult to compute and may not be a good representation for storage and recognition. Given matched images it is shown that the sign of the normal curvature in a given direction at a given point in the image can be computed from a simple difference of slopes of line segments in one image. Using this result, local surface patches can be classified as convex, concave, cylindrical, hyperbolic (saddle point), or planar. At the same time, the translational component of the optical flow, from which the focus of expansion can be computed, is obtained

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