Papers from the second workshop Vol. 13 on Human and Machine Vision II
Smoothed Local Symmetries and Their Implementation
Smoothed Local Symmetries and Their Implementation
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The question of 3-D shape representation is studied on the fundamental and general level. The two aspects of the problem, (i) the reconstuction of a 3-D shape from a given set of contours, and (ii) finding "natural" coordinates on a given surface, are treated by the same theory. We first set a few basic principles that should guide any shape reconstruction mechanism, regardless of its physical implementation. Second, we propose a new mathematical procedure that complies with these principles and offers several advantages over the existing ad hoc treatments. Some general results are derived from this procedure, which conform very well with human visual perception.