Bijective Volumetric Mapping via Star Decomposition

IF 7.8 1区计算机科学 Q1 COMPUTER SCIENCE, SOFTWARE ENGINEERING

ACM Transactions on Graphics Pub Date : 2024-11-19 DOI:10.1145/3687950

Steffen Hinderink, Hendrik Brückler, Marcel Campen

引用次数: 0

Abstract

A method for the construction of bijective volumetric maps between 3D shapes is presented. Arbitrary shapes of ball-topology are supported, overcoming restrictions of previous methods to convex or star-shaped targets. In essence, the mapping problem is decomposed into a set of simpler mapping problems, each of which can be solved with previous methods for discrete star-shaped mapping problems. Addressing the key challenges in this endeavor, algorithms are described to reliably construct structurally compatible partitions of two shapes with constraints regarding star-shapedness and to compute a parsimonious common refinement of two triangulations.

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通过星形分解进行双射体积映射

本文介绍了一种在三维形状之间构建双射体积映射的方法。该方法支持球拓扑结构的任意形状，克服了以往方法对凸形或星形目标的限制。从本质上讲，映射问题被分解成一系列更简单的映射问题，每个问题都可以用以前的离散星形映射问题方法来解决。针对这一领域的关键挑战，本文介绍了如何可靠地构建两个形状的结构兼容分区，并对星形性进行约束，以及如何计算两个三角形的合理共同细化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

ACM Transactions on Graphics 工程技术-计算机：软件工程

CiteScore

14.30

自引率

25.80%

发文量

193

审稿时长

12 months

期刊介绍： ACM Transactions on Graphics (TOG) is a peer-reviewed scientific journal that aims to disseminate the latest findings of note in the field of computer graphics. It has been published since 1982 by the Association for Computing Machinery. Starting in 2003, all papers accepted for presentation at the annual SIGGRAPH conference are printed in a special summer issue of the journal.