A Generalized Vertex Truncation Scheme to Construct Intriguing Polyhedral Shapes

Year: 2004 Authors: Ergun Akleman; Paul Edmundson; Ozan Ozener

Core claim

A generalized vertex truncation subdivision scheme can transform an initial manifold mesh into intriguing limit surfaces with planar intermediate meshes and smooth, fractal polyhedral forms in the limit.

Topics

polyhedral subdivision, vertex truncation, smooth fractal shapes, shape modeling, computer graphics, architectural form

Domains

geometry, topology, subdivision schemes, fractal geometry, polyhedral combinatorics, visualization, sculpture, architectural design

Methods

generalized vertex truncation, Chaikin’s construction, iterative subdivision, mesh remeshing, limit-surface approximation

Media

manifold polygonal mesh, polyhedral mesh, quadratic B-spline curves, computer-generated 3D forms

Source status

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