4.5 Article Proceedings Paper

Smooth multi-sided blending of biquadratic splines

期刊

COMPUTERS & GRAPHICS-UK
卷 46, 期 -, 页码 172-185

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.cag.2014.09.004

关键词

Biquadratic splines; Shape; Multi-sided blends; Reparameterization

资金

  1. NSF [CCF-1117695]
  2. Direct For Computer & Info Scie & Enginr
  3. Division of Computing and Communication Foundations [1117695] Funding Source: National Science Foundation

向作者/读者索取更多资源

Biquadratic (bi-2) splines are the simplest choice for converting a regular quad meshes into smooth tensor-product spline surfaces. Existing methods for blending three, five or more such bi-2 spline surfaces using surface caps consisting of pieces of low polynomial degree suffer from artifacts ranging from flatness to oscillations. The new construction, based on reparameterization of the bi-2 spline data, yields well-distributed highlight lines for a range of challenging test data. The construction uses n pieces of degree bi-4 (bi-3 when n is an element of {3, 5}) and applies both to primal (Catmull-Clark-like) and dual (Doo-Sabin-like) input layouts. Crown Copyright (C) 2014 Published by Elsevier Ltd. All rights reserved.

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