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A Modern Differential Geometric Approach to Shape from Shading

How the visual system extracts shape information from a single grey-level image can be approached by examining how the information about shape is contained in the image. This technical report considers the characteristic equations derived by Horn as a dynamical system. Certain image critical points generate dynamical system critical points. The stable and unstable manifolds of these critical points correspond to convex and concave solution surfaces, giving more general existence and uniqueness results. A new kind of highly parallel, robust shape from shading algorithm is suggested on neighborhoods of these critical points. The information at bounding contours in the image is also analyzed.

Identiferoai:union.ndltd.org:MIT/oai:dspace.mit.edu:1721.1/6826
Date01 June 1989
CreatorsSaxberg, Bror V. H.
Source SetsM.I.T. Theses and Dissertation
Languageen_US
Detected LanguageEnglish
Format211 p., 25996718 bytes, 9816106 bytes, application/postscript, application/pdf
RelationAITR-1117

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