Methods for converting concave polyhedra to their convex hulls

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395119, 395120, G06T 1700

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054287170

ABSTRACT:
Methods for modifying shapes for display, represented as non-self-intersecting, simply connected, triangulated polyhedron of genus-O, defined as a plurality of triangular faces, each triangular face defined as a set of three coordinate points, eliminate concave edges in the shapes by performing pop or slide procedures on the concave edges. These procedures result in a visually smooth transformation of the concave shape to its convex hull, or to other shapes located therebetween.

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Kaul et al., "Research Report: Solid-Interpolating Deformations: Construction and Animation of Pips", IBM Research Division, Sep. 1991, pp. 1-30.
Kent et al, "Establishing Correspondences by Topological Merging: A New Approach to 3-D Shape Transformation", Graphics Interface '91, Jun. 1991, pp. 271-278.

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