PowerRTF: Power Diagram based Restricted Tangent Face for Surface Remeshing
Triangular meshes of superior quality are important for geometric processing in practical applications. Existing approximative CVT‐based remeshing methodology uses planar polygonal facets to fit the original surface, simplifying the computational complexity. However, they usually do not consider sur...
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| Vydáno v: | Computer graphics forum Ročník 42; číslo 5 |
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| Hlavní autoři: | , , , , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Oxford
Blackwell Publishing Ltd
01.08.2023
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| ISSN: | 0167-7055, 1467-8659 |
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| Abstract | Triangular meshes of superior quality are important for geometric processing in practical applications. Existing approximative CVT‐based remeshing methodology uses planar polygonal facets to fit the original surface, simplifying the computational complexity. However, they usually do not consider surface curvature. Topological errors and outliers can also occur in the close sheet surface remeshing, resulting in wrong meshes. With this regard, we present a novel method named PowerRTF, an extension of the restricted tangent face (RTF) in conjunction with the power diagram, to better approximate the original surface with curvature adaption. The idea is to introduce a weight property to each sample point and compute the power diagram on the tangent face to produce area‐controlled polygonal facets. Based on this, we impose the variable‐capacity constraint and centroid constraint to the PowerRTF, providing the trade‐off between mesh quality and computational efficiency. Moreover, we apply a normal verification‐based inverse side point culling method to address the topological errors and outliers in close sheet surface remeshing. Our method independently computes and optimizes the PowerRTF per sample point, which is efficiently implemented in parallel on the GPU. Experimental results demonstrate the effectiveness, flexibility, and efficiency of our method. |
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| AbstractList | Triangular meshes of superior quality are important for geometric processing in practical applications. Existing approximative CVT‐based remeshing methodology uses planar polygonal facets to fit the original surface, simplifying the computational complexity. However, they usually do not consider surface curvature. Topological errors and outliers can also occur in the close sheet surface remeshing, resulting in wrong meshes. With this regard, we present a novel method named PowerRTF, an extension of the restricted tangent face (RTF) in conjunction with the power diagram, to better approximate the original surface with curvature adaption. The idea is to introduce a weight property to each sample point and compute the power diagram on the tangent face to produce area‐controlled polygonal facets. Based on this, we impose the variable‐capacity constraint and centroid constraint to the PowerRTF, providing the trade‐off between mesh quality and computational efficiency. Moreover, we apply a normal verification‐based inverse side point culling method to address the topological errors and outliers in close sheet surface remeshing. Our method independently computes and optimizes the PowerRTF per sample point, which is efficiently implemented in parallel on the GPU. Experimental results demonstrate the effectiveness, flexibility, and efficiency of our method. |
| Author | Liu, Jingjing Zhang, Gaofeng Zheng, Liping Wu, Wenming Yao, Yuyou Fei, Yue Yan, Dong‐Ming |
| Author_xml | – sequence: 1 givenname: Yuyou orcidid: 0000-0002-0197-4486 surname: Yao fullname: Yao, Yuyou organization: Hefei University of Technology – sequence: 2 givenname: Jingjing surname: Liu fullname: Liu, Jingjing organization: Hefei University of Technology – sequence: 3 givenname: Yue surname: Fei fullname: Fei, Yue organization: Hefei University of Technology – sequence: 4 givenname: Wenming surname: Wu fullname: Wu, Wenming organization: Hefei University of Technology – sequence: 5 givenname: Gaofeng orcidid: 0000-0003-0536-7226 surname: Zhang fullname: Zhang, Gaofeng organization: Hefei University of Technology – sequence: 6 givenname: Dong‐Ming orcidid: 0000-0003-2209-2404 surname: Yan fullname: Yan, Dong‐Ming organization: University of Chinese Academy of Sciences – sequence: 7 givenname: Liping orcidid: 0000-0001-5071-9628 surname: Zheng fullname: Zheng, Liping email: zhenglp@hfut.edu.cn organization: Hefei University of Technology |
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| Title | PowerRTF: Power Diagram based Restricted Tangent Face for Surface Remeshing |
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