Fast spherical quasiconformal parameterization of genus-0 closed surfaces with application to adaptive remeshing

Gary Pui-Tung Choi; Mandy Hiu-Ying Man; Lok Ming Lui

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Fast spherical quasiconformal parameterization of genus-0 closed surfaces with application to adaptive remeshing

机译：基金-0封闭表面的快速球形QuasicOnformal参数化应用于自适应倒闭

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摘要

In this work, we are concerned with the spherical quasiconformal parameterization of genus-0 closed surfaces. Given a genus-0 closed triangulated surface and an arbitrary user-defined quasiconformal distortion, we propose a fast algorithm for computing a spherical parameterization of the surface that satisfies the prescribed distortion. The proposed algorithm can be effectively applied to adaptive surface remeshing for improving the visualization in computer graphics and animations. Experimental results are presented to demonstrate the effectiveness of our algorithm.

机译：在这项工作中，我们涉及Genus-0封闭表面的球形QuasicOnformal参数化。给定Genus-0闭合三角形表面和任意用户定义的QuasicOnformal失真，我们提出了一种快速算法来计算满足规定失真的表面的球形参数化。该算法可以有效地应用于自适应表面回忆，以改善计算机图形和动画中的可视化。提出了实验结果来证明我们算法的有效性。

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来源
《Geometry, Imaging and Computing》 |2016年第2期|共29页
作者
Gary Pui-Tung Choi; Mandy Hiu-Ying Man; Lok Ming Lui;
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作者单位

John A. Paulson School of Engineering and Applied Sciences Harvard University Cambridge Massachusetts USA;

Man Department of Mathematics The Chinese University of Hong Kong Hong Kong;

Department of Mathematics The Chinese University of Hong Kong Hong Kong;

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原文格式 PDF
正文语种 eng
中图分类数学;自动化技术、计算机技术;
关键词
Fast spherical; quasiconformal parameterization; genus-0 closed surfaces;

机译：快球;QuasicOnformal参数化;Genus-0封闭表面;

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专利

1. Fast spherical quasiconformal parameterization of genus-0 closed surfaces with application to adaptive remeshing [J] . Gary Pui-Tung Choi, Mandy Hiu-Ying Man, Lok Ming Lui Geometry, Imaging and Computing . 2016,第1a2期

机译：基金-0封闭表面的快速球形QuasicOnformal参数化应用于自适应倒闭
2. Fast Point and Element Search Method in Adaptive Remeshing Procedure and Its Applications [J] . JieZhang, AbelCherouat, HoumanBorouchaki International Scholarly Research Notices . 2011,第59期

机译：自适应网格划分中的快速点元搜索方法及其应用
3. Remeshing triangulated surfaces with optimal parameterizations [J] . K. Hormann U. Labsik, G. Greiner Computer-Aided Design . 2001,第11期

机译：使用最佳参数化对三角化的曲面进行网格划分
4. SUBDIVISION-BASED 3D REMESHING WITH A FAST SPHERICAL PARAMETERIZATION METHOD [C] . Ruqin Zhang, Eliot Winer, James H. Oliver ASME international design engineering technical conferences;DETC2010;CIE2010;ASME international computers and information in engineering conference;Computers and information in engineering conference . 2011

机译：基于细分的3D快速球面参数化网格重绘
5. A Collection of Fast Algorithms for Scalar and Vector-Valued Data on Irregular Domains: Spherical Harmonic Analysis, Divergence-Free/Curl-Free Radial Basis Functions, and Implicit Surface Reconstruction [D] . Drake, Kathryn Primrose. 2020

机译：关于不规则结构域上的标量和矢量值数据的快速算法的集合：球面谐波分析，无差异/无卷曲的径向基函数，隐含表面重建
6. Ricci Flow-based Spherical Parameterization and Surface Registration [O] . X. Chen, H. He, G. Zou, -1

机译：基于Ricci Flow的球面参数化和曲面配准
7. Fast Spherical Quasiconformal Parameterization of Genus-0 Closed Surfaces with Application to Adaptive Remeshing [O] . Choi, Gary Pui-Tung, Man, Mandy Hiu-Ying, Lui, Lok Ming 2016

机译：0种闭合的快球形拟共形参数化表面应用于自适应网格重构

Fast spherical quasiconformal parameterization of genus-0 closed surfaces with application to adaptive remeshing

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