Conformal freeform surfaces

被引：10
|
作者：
Yang, Yi-Jun [1 ,2 ]
Zeng, Wei [3 ]
Meng, Xiang-Xu [1 ,2 ]
机构：
[1] Shandong Univ, Sch Comp Sci & Technol, Jinan, Peoples R China
[2] MOE China, Engn Res Ctr Digital Media Tech, Beijing, Peoples R China
[3] Florida Int Univ, Sch Comp & Informat Sci, 11200 SW 8th St, Miami, FL 33199 USA
来源：
COMPUTER-AIDED DESIGN | 2016年 / 81卷
基金：
美国国家科学基金会;
关键词：
Hierarchical freeform surfaces; Conformal surfaces; Least square method; PARAMETERIZATION; INTERPOLATOR; TESSELLATION; ALGORITHM;
D O I：
10.1016/j.cad.2016.09.003
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The conformality of freeform surfaces highly affects their rendering and tessellation results. To improve the conformality of freeform surfaces, a novel freeform surface representation named hierarchical freeform surfaces is presented in this paper. The conformality energy of hierarchical freeform surfaces is first formulated and its numerical approximation is then constructed using the composite Simpson's rule. By constructing the parameterization of the initial freeform transformation using the Ricci flow method, the optimal freeform transformation is obtained by the Levenberg-Marquardt method, which is further interleaved with the freeform refinement procedure to generate a hierarchical freeform surface with bounded conformality deviations. Examples are given to show the performance of our algorithm for rendering and tessellation applications. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：48 / 60
页数：13
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