稀疏三角网格模型的Gregory曲面光顺插值

doi:10.11772/j.issn.1001-9081.2016.11.3183

计算机应用 ›› 2016, Vol. 36 ›› Issue (11): 3183-3187.DOI: 10.11772/j.issn.1001-9081.2016.11.3183

稀疏三角网格模型的Gregory曲面光顺插值

陈明, 李杰

哈尔滨工业大学深圳研究生院, 广东深圳 518055

收稿日期:2016-04-22 修回日期:2016-07-06 出版日期:2016-11-10 发布日期:2016-11-12
通讯作者: 陈明
作者简介:陈明(1979-),男,湖南邵阳人,博士,主要研究方向:CAD/CAM、虚拟现实、数控、计算机图形学;李杰(1991-),女,湖北荆州人,硕士研究生,主要研究方向:CAD/CAM、数字图像处理。
基金资助:
国家自然科学基金资助项目（61662006）；深圳市基础研究基金资助项目（JCYJ20140417172620448）。

Visually smooth Gregory patches interpolation of triangle mesh surface model

CHEN Ming, LI Jie

Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen Guangdong 518055, China

Received:2016-04-22 Revised:2016-07-06 Online:2016-11-10 Published:2016-11-12
Supported by:
This work is partially supported by the National Natural Science Foundation of China (61662006), the Shenzhen Basic Research Funding (JCYJ20140417172620448).

摘要/Abstract

摘要： 稀疏网格模型精细光顺重建时，网格顶点的法曲率不一致问题仍没有解决，导致渲染阴影。通过推导获得四次三角域Gregory顶点拼接处法曲率变化一致的约束条件，并基于该约束条件对稀疏三角网格模型进行精细重建。重建后的模型不但保证所有相邻三角Gregory曲面片G¹光顺连续，而且拼接顶点处的法曲率变化最小，从而可获得高质量的视觉效果。实验结果验证了在只有原始模型1%~2%网格数目的情况下可获得光顺的视觉渲染效果，结果模型亦具有高精细特征。

关键词: G¹连续, Gregory曲面, 法曲率, 曲面插值

Abstract: The inconsistence of normal curvature at vertex when reconstructing a coarse mesh model as a fine heavy one has been unsolved and this inconsistence will result in shadow in rendering. In this paper, the geometric condition of the normal curvature consistence at vertex was obtained and a novel algorithm was further proposed based on that condition refining coarse mesh models to be visually smooth parametric ones, which were presented collectedly as triangular Gregory patches. The constructed parametric model was G¹ everywhere without the normal curvature inconsistence problem, so a good visual effect could be obtained. The experimental results show that the proposed algorithm can obtain a high quality visual effect with the 1%-2% vertexes of the original mesh model.

Key words: G¹ continuity, Gregory patch, normal curvature, surface interpolation

中图分类号:

TP391.72

陈明, 李杰. 稀疏三角网格模型的Gregory曲面光顺插值[J]. 计算机应用, 2016, 36(11): 3183-3187.

CHEN Ming, LI Jie. Visually smooth Gregory patches interpolation of triangle mesh surface model[J]. Journal of Computer Applications, 2016, 36(11): 3183-3187.

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稀疏三角网格模型的Gregory曲面光顺插值

Visually smooth Gregory patches interpolation of triangle mesh surface model

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