I❤MESH:网格处理 DSL

IF 7.8 1区 计算机科学 Q1 COMPUTER SCIENCE, SOFTWARE ENGINEERING
Yong Li, Shoaib Kamil, Keenan Crane, Alec Jacobson, Yotam Gingold
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引用次数: 0

摘要

网格处理算法通常通过简洁的数学符号(如网格邻域求和)进行交流。然而,将数学符号转换为工作代码仍然是一个耗时且容易出错的过程,需要掌握底层数据结构和库的神秘知识,从而阻碍了对高层算法的快速探索。为了解决这个问题,我们为网格处理引入了一种名为 I❤MESH 的特定领域语言 (DSL),这种语言类似于视觉和几何计算中常用的符号,可以自动完成将符号转换为代码的过程。我们语言的核心是一种灵活的符号,用于指定和操作单元复合物的邻域,内部通过对稀疏边界矩阵的标准操作来表示。这种分层设计既能自然地表达算法,又能最大限度地降低对代码生成后端的要求。特别是,通过将 I❤MESH 与 I❤LA DSL 的线性代数功能集成,并添加对自动微分的支持,我们可以在点云、曲面网格和体积网格上快速实现丰富多样的算法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
I❤MESH: A DSL for Mesh Processing

Mesh processing algorithms are often communicated via concise mathematical notation (e.g., summation over mesh neighborhoods). However, conversion of notation into working code remains a time consuming and error-prone process which requires arcane knowledge of low-level data structures and libraries—impeding rapid exploration of high-level algorithms. We address this problem by introducing a domain-specific language (DSL) for mesh processing called I❤MESH, which resembles notation commonly used in visual and geometric computing, and automates the process of converting notation into code. The centerpiece of our language is a flexible notation for specifying and manipulating neighborhoods of a cell complex, internally represented via standard operations on sparse boundary matrices. This layered design enables natural expression of algorithms while minimizing demands on a code generation back-end. In particular, by integrating I❤MESH with the linear algebra features of the I❤LA DSL, and adding support for automatic differentiation, we can rapidly implement a rich variety of algorithms on point clouds, surface meshes, and volume meshes.

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来源期刊
ACM Transactions on Graphics
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.
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