Constrained Remeshing Using Evolutionary Vertex Optimization

dc.contributor.authorZhang, Wen-Xiangen_US
dc.contributor.authorWang, Qien_US
dc.contributor.authorGuo, Jia-Pengen_US
dc.contributor.authorChai, Shuangmingen_US
dc.contributor.authorLiu, Ligangen_US
dc.contributor.authorFu, Xiao-Mingen_US
dc.contributor.editorChaine, Raphaëlleen_US
dc.contributor.editorKim, Min H.en_US
dc.date.accessioned2022-04-22T06:28:00Z
dc.date.available2022-04-22T06:28:00Z
dc.date.issued2022
dc.description.abstractWe propose a simple yet effective method to perform surface remeshing with hard constraints, such as bounding approximation errors and ensuring Delaunay conditions. The remeshing is formulated as a constrained optimization problem, where the variables contain the mesh connectivity and the mesh geometry. To solve it effectively, we adopt traditional local operations, including edge split, edge collapse, edge flip, and vertex relocation, to update the variables. Central to our method is an evolutionary vertex optimization algorithm, which is derivative-free and robust. The feasibility and practicability of our method are demonstrated in two applications, including error-bounded Delaunay mesh simplification and error-bounded angle improvement with a given number of vertices, over many models. Compared to state-of-the-art methods, our method achieves higher remeshing quality.en_US
dc.description.number2
dc.description.sectionheadersMeshes
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume41
dc.identifier.doi10.1111/cgf.14471
dc.identifier.issn1467-8659
dc.identifier.pages237-247
dc.identifier.pages11 pages
dc.identifier.urihttps://doi.org/10.1111/cgf.14471
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14471
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectCCS Concepts: Computing methodologies --> Shape modeling
dc.subjectComputing methodologies
dc.subjectShape modeling
dc.titleConstrained Remeshing Using Evolutionary Vertex Optimizationen_US
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