importantSYS.SOURCE: Cairn Overturf’s Blog• 2026-09-29T14:27:41Z

Dual Polytope and Support Function Analysis for Convex Hull Simplification

#convex geometry #dual polytope #support function

The article explains the relationship between the support function of a convex polytope and its dual polytope, showing how level sets of the support function correspond to scaled polar duals. It applies this to convex hull simplification by demonstrating how manipulating the dual's vertices reconstructs simplified hulls through convex hull operations.

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