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Error-Bounded and Feature Preserving Surface Remeshing with Minimal Angle Improvement
Hu, Kaimo1; Yan, Dong-Ming2; Bommes, David3; Alliez, Pierre4; Benes, Bedrich1
Source PublicationIEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS
2017-12-01
Volume23Issue:12Pages:2560-2573
SubtypeArticle
AbstractSurface remeshing is a key component in many geometry processing applications. The typical goal consists in finding a mesh that is (1) geometrically faithful to the original geometry, (2) as coarse as possible to obtain a low-complexity representation and (3) free of bad elements that would hamper the desired application (e.g., the minimum interior angle is above an application-dependent threshold). Our algorithm is designed to address all three optimization goals simultaneously by targeting prescribed bounds on approximation error delta, minimal interior angle theta and maximum mesh complexity N (number of vertices). The approximation error bound d is a hard constraint, while the other two criteria are modeled as optimization goals to guarantee feasibility. Our optimization framework applies carefully prioritized local operators in order to greedily search for the coarsest mesh with minimal interior angle above theta and approximation error bounded by delta. Fast runtime is enabled by a local approximation error estimation, while implicit feature preservation is obtained by specifically designed vertex relocation operators. Experiments show that for reasonable angle bounds (theta <= 35 degrees) our approach delivers high-quality meshes with implicitly preserved features (no tagging required) and better balances between geometric fidelity, mesh complexity and element quality than the state-of-the-art.
KeywordSurface Remeshing Error-bounded Feature Preserving Minimal Angle Improvement Saliency Function
WOS HeadingsScience & Technology ; Technology
DOI10.1109/TVCG.2016.2632720
WOS KeywordRESTRICTED VORONOI DIAGRAM ; OPTIMIZATION
Indexed BySCI
Language英语
Funding OrganizationEuropean Research Council (ERC Starting Grant Robust Geometry Processing)(257474) ; National Science Foundation of China(61373071 ; German Research Foundation (DFG)(GSC 111) ; 61372168 ; 61620106003)
WOS Research AreaComputer Science
WOS SubjectComputer Science, Software Engineering
WOS IDWOS:000414393700007
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/13992
Collection模式识别国家重点实验室_多媒体计算与图形学
Affiliation1.Purdue Univ, 610 Purdue Mall, W Lafayette, IN 47907 USA
2.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China
3.Rhein Westfal TH Aachen, Schinkelstr 2, D-52062 Aachen, Germany
4.Inria Sophia Antipolis Mediterranee, 2004 Route Lucioles BP 93, F-06902 Sophia Antipolis, France
Recommended Citation
GB/T 7714
Hu, Kaimo,Yan, Dong-Ming,Bommes, David,et al. Error-Bounded and Feature Preserving Surface Remeshing with Minimal Angle Improvement[J]. IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS,2017,23(12):2560-2573.
APA Hu, Kaimo,Yan, Dong-Ming,Bommes, David,Alliez, Pierre,&Benes, Bedrich.(2017).Error-Bounded and Feature Preserving Surface Remeshing with Minimal Angle Improvement.IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS,23(12),2560-2573.
MLA Hu, Kaimo,et al."Error-Bounded and Feature Preserving Surface Remeshing with Minimal Angle Improvement".IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS 23.12(2017):2560-2573.
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