Practical construction of globally injective parameterizations with positional constraints
作者机构：School of Mathematical SciencesUniversity of Science and Technology of ChinaHefei 230026China
出 版 物：《Computational Visual Media》 (计算可视媒体（英文版）)
年 卷 期：2023年第9卷第2期
页 面：265-277页
核心收录：
学科分类：08[工学] 080203[工学-机械设计及理论] 0835[工学-软件工程] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）]
基 金：supported by the National Natural Science Foundation of China(61802359,62025207) USTC Research Funds of the Double First-Class Initiative(YD0010002003)
主 题：globally injective parameterization constrained parameterization bijection flip-free scaffold mesh
摘 要：We propose a novel method to compute globally injective parameterizations with arbitrary positional constraints on disk topology *** to this method is the use of a scaffold mesh that reduces the globally injective constraint to a locally flipfree ***,given an initial parameterized mesh containing flipped triangles and satisfying the positional constraints,we only need to remove the flips of a overall mesh consisting of the parameterized mesh and the scaffold mesh while always meeting positional *** successfully apply this idea,we develop two key ***,an initialization method is used to generate a valid scaffold mesh and mitigate difficulties in eliminating ***,edgebased remeshing is used to optimize the regularity of the scaffold mesh containing flips,thereby improving practical *** to state-of-the-art methods,our method is much more *** demonstrate the capability and feasibility of our method on a large number of complex meshes.
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