THE SIMPLEST SUBDIVISION SCHEME FOR SMOOTHING POLYHEDRA

Authors
PETERS J REIF U
Citation
J. Peters et U. Reif, THE SIMPLEST SUBDIVISION SCHEME FOR SMOOTHING POLYHEDRA, ACM transactions on graphics, 16(4), 1997, pp. 420-431
Citations number
11
Categorie Soggetti
Computer Sciences, Special Topics","Computer Science Software Graphycs Programming
Journal title
ACM transactions on graphics → ACNP
ISSN journal
07300301
Volume
16
Issue
4
Year of publication
1997
Pages
420 - 431
Database
ISI
SICI code
0730-0301(1997)16:4<420:TSSSFS>2.0.ZU;2-2
Abstract
Given a polyhedron, construct a new polyhedron by connecting every edg e-midpoint to its four neighboring edge-midpoints. This refinement rul e yields a C-1 surface and the surface has a piecewise quadratic param etrization except at a finite number of isolated points. We analyze an d improve the construction.