4.4 Article

G1 continuity between toric surface patches

Journal

COMPUTER AIDED GEOMETRIC DESIGN
Volume 35-36, Issue -, Pages 255-267

Publisher

ELSEVIER
DOI: 10.1016/j.cagd.2015.03.017

Keywords

G(1) continuity; Toric surface patches; Bezier surface patches

Funding

  1. National Natural Science Foundation of China [11290143, 11271060, 11401077]
  2. Fundamental Research of Civil Aircraft [MJ-F-2012-04]
  3. Program for Lianing Excellent Talents in University [LJQ2014010]
  4. Fundamental Research Funds for the Central Universities [DUT14YQ111]

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Toric surface patches are a multi-sided generalization of classical rational Bezier surface patches which are widely used in free-form surface modeling. In this paper, we present the first derivatives of toric surface patches along the boundary and study the G(1) continuity between adjacent toric surface patches by the toric degenerations. Furthermore, some practical G(1) sufficient conditions of toric surface patches are developed and the representative examples are given. (C) 2015 Elsevier B.V. All rights reserved.

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