Robustly computing restricted Voronoi diagrams (RVD) on thin-plate models

doi:10.1016/j.cagd.2020.101848

CORC > 自动化研究所 > 中国科学院自动化研究所 > 模式识别国家重点实验室 > 三维可视计算

	Robustly computing restricted Voronoi diagrams (RVD) on thin-plate models
	Wang, Pengfei 2; Xin, Shiqing 2; Tu, Changhe 2; Yan, Dongming 1; Zhou, Yuanfeng 2; Zhang, Caiming 2
刊名	COMPUTER AIDED GEOMETRIC DESIGN
	2020-05-01
卷号	79 页码:12
关键词	Geometry processing Restricted Voronoi diagram Thin plate Tubular shape
ISSN号	0167-8396
DOI	10.1016/j.cagd.2020.101848
通讯作者	Xin, Shiqing(xinshiqing@163.com) ; Tu, Changhe(chtu@sdu.edu.cn)
英文摘要	Voronoi diagram based partitioning of a 2-manifold surface in R-3 is a fundamental operation in the field of geometry processing. However, when the input object is a thin-plate model or contains thin branches, the traditional restricted Voronoi diagrams (RVD) cannot induce a manifold structure that is conformal to the original surface. Yan et al. (2014) are the first who proposed a localized RVD (LRVD) algorithm to handle this issue. Their algorithm is based on a face-level clustering technique, followed by a sequence of bisector clipping operations. It may fail when the input model has long and thin triangles. In this paper, we propose a more elegant/robust algorithm for computing RVDs on models with thin plates or even tubular parts. Our idea is inspired by such a fact: the desired RVD must guarantee that each site dominates a single region that is topologically identical to a disk. Therefore, when a site dominates disconnected subregions, we identify those ownerless regions and re-partition them to the nearby sites using a simple and fast local Voronoi partitioning operation. For each site that dominates a tubular part, we suggest add two more sites such that the three sites are almost rotational symmetric. Our approach is easy to implement and more robust to challenging cases than the state-of-the-art approach. (C) 2020 Elsevier B.V. All rights reserved.
资助项目	National Natural Science Foundation of China[61772318] ; National Natural Science Foundation of China[61772016] ; National Natural Science Foundation of China[61772312] ; National Natural Science Foundation of China[61772523] ; NSFC-Zhejiang Joint Fund for the Integration of Industrialization and Informatization[U1609218] ; NSFC-Zhejiang Joint Fund for the Integration of Industrialization and Informatization[U1909210]
WOS关键词	TRIANGULAR MESHES ; TESSELLATIONS ; RESOLUTION
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	ELSEVIER
WOS记录号	WOS:000533516400006
资助机构	National Natural Science Foundation of China ; NSFC-Zhejiang Joint Fund for the Integration of Industrialization and Informatization
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/39460]
专题	模式识别国家重点实验室_三维可视计算
通讯作者	Xin, Shiqing; Tu, Changhe
作者单位	1.Chinese Acad Sci, Inst Automat, Beijing, Peoples R China 2.Shandong Univ, Jinan, Peoples R China
推荐引用方式 GB/T 7714	Wang, Pengfei,Xin, Shiqing,Tu, Changhe,et al. Robustly computing restricted Voronoi diagrams (RVD) on thin-plate models[J]. COMPUTER AIDED GEOMETRIC DESIGN,2020,79:12.
APA	Wang, Pengfei,Xin, Shiqing,Tu, Changhe,Yan, Dongming,Zhou, Yuanfeng,&Zhang, Caiming.(2020).Robustly computing restricted Voronoi diagrams (RVD) on thin-plate models.COMPUTER AIDED GEOMETRIC DESIGN,79,12.
MLA	Wang, Pengfei,et al."Robustly computing restricted Voronoi diagrams (RVD) on thin-plate models".COMPUTER AIDED GEOMETRIC DESIGN 79(2020):12.