Minkowski Sums and Spherical Duals

Year: 2006 Authors: John M. Sullivan

Core claim

General convex polyhedra admit spherical dual networks that make the Zongker/Hart blending construction valid for all cases.

Topics

Minkowski sum, spherical dual, convex polyhedra, polyhedral morphing

Domains

convex geometry, polyhedral geometry, Minkowski mixed volumes, Gauss curvature, geometric visualization, computational art, 3D morphology, mathematical illustration

Methods

spherical dual construction, geodesic arc labeling, supporting plane analysis, Minkowski additivity

Media

spherical nets, great-circle arcs, polyhedra, computer-generated figures

Source status

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