Abstract
A convex decomposition method, called the alternating sum of volumes (ASV) method, uses convex hulls and set-difference operations. ASV decomposition may not converge, which severely limits the domain of geometric objects that can be handled. Via the combination of ASV decomposition and remedial partitioning for the non-convergence, a convergent convex decomposition is proposed that is called the alternating sum of volumes with partitioning (ASVP) decomposition. The paper describes how ASVP decomposition is used for the recognition of form features. In this approach to form-feature recognition, volumetric form features which are intrinsic to the shape of a given object are recognized from the boundary information through ASVP decomposition. Moreover, hierarchical relationships between the recognized form features are obtained in addition to global spatial information.
Published Version
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