Description of solid shape and its inference from occluding contours

Jack M. H. Beusmans, Donald D. Hoffman, Bruce M. Bennett
1987 Optical Society of America. Journal A: Optics, Image Science, and Vision  
We explore a method of representing solid shape that is useful for visual recognition. We assume that complex shapes are constructed from convex, compact shapes and that construction involves three operations: solid union (to form humps), solid subtraction (to leave dents), and smoothing (to remove discontinuities). The boundaries between shapes joined through these operations are contours of extrema of a principal curvature. Complex objects can be decomposed along these boundaries into convex
more » ... hapes, the so-called parts. We suggest that this decomposition into parts forms the basis for a shape memory. We show that the part boundaries of an object can be inferred from its occluding contours, at least up to a number of ambiguities.
doi:10.1364/josaa.4.001155 fatcat:cg5outqiuvbrdo5jpvf4so2rci