Direct Computation of Qualitative 3-D Shape and Motion Invariants

Authors:
Daphna Weinshall
Affiliations:
-
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
1991

Citing 3
Cited 2

Computational vision and regularization theory

Nature
Surface descriptions from stereo and shading

Shape from shading
Direct Computation of 3D Shape and Motion Invariants

Direct Computation of 3D Shape and Motion Invariants

Thermophysical Algebraic Invariants from Infrared Imagery for Object Recognition

IEEE Transactions on Pattern Analysis and Machine Intelligence
Global Segmentation and Curvature Analysis of Volumetric Data Sets Using Trivariate B-Spline Functions

IEEE Transactions on Pattern Analysis and Machine Intelligence

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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.