Introductory Tiling Theory for Computer Graphics
Introductory Tiling Theory for Computer Graphics
复制标题
计算机图形学平铺理论入门
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
C. Kaplan
中科院分区：
文献类型：
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作者：
C. Kaplan
平铺理论是数学的一个优雅的分支，在计算机科学的几个领域都有应用。最直接的应用领域是图形，其中平铺理论已被用于纹理生成，采样理论，重新网格化，当然还有装饰图案的生成。坚实的理论基础（包括诱人的开放问题），实用的算法技术和令人兴奋的应用程序的结合使平铺理论成为计算机科学从业者和学生值得研究的领域。这个综合讲座介绍了平铺理论的数学和算法基础的计算机图形观众。目标主要是介绍概念和术语，澄清常见的误解，并陈述和应用重要的结果。这本书还描述了一些算法和数据结构，允许平铺理论的几个方面在实践中使用。目录：简介/镶嵌基础知识/对称性/多边形镶嵌/等面体镶嵌/非周期和非周期镶嵌/概览
Tiling theory is an elegant branch of mathematics that has applications in several areas of computer science. The most immediate application area is graphics, where tiling theory has been used in the contexts of texture generation, sampling theory, remeshing, and of course the generation of decorative patterns. The combination of a solid theoretical base (complete with tantalizing open problems), practical algorithmic techniques, and exciting applications make tiling theory a worthwhile area of study for practitioners and students in computer science. This synthesis lecture introduces the mathematical and algorithmic foundations of tiling theory to a computer graphics audience. The goal is primarily to introduce concepts and terminology, clear up common misconceptions, and state and apply important results. The book also describes some of the algorithms and data structures that allow several aspects of tiling theory to be used in practice. Table of Contents: Introduction / Tiling Basics / Symmetry / Tilings by Polygons / Isohedral Tilings / Nonperiodic and Aperiodic Tilings / Survey