A Modern Differential Geometric Approach to Shape from Shading

Title: en_US A Modern Differential Geometric Approach to Shape from Shading
Creator: en_US Saxberg, Bror V. H.
Date: 2004-10-20T20:00:18Z
Date Available: 2004-10-20T20:00:18Z
Date Issued: en_US 1989-06-01
Identifier: en_US AITR-1117
uri: http://hdl.handle.net/1721.1/6826
Abstract: en_US 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.
Extent: en_US 211 p.; 25996718 bytes; 9816106 bytes
Format: application/postscript; application/pdf
Language: en_US
Relation: en_US AITR-1117
Subject: en_US shape from shading; en_US computer vision; en_US differential geometry; en_US sdynamical systems