| 期刊全称 | Analysis and Design of Univariate Subdivision Schemes | | 影响因子2023 | Malcolm Sabin | | 视频video | | | 发行地址 | All the fundamental ideas.Presented in an accessible fashion even for those whose mathematics is a tool to be used, not a way of life.Separate sections on mathematical techniques providing revision fo | | 学科分类 | Geometry and Computing | | 图书封面 |  | | 影响因子 | ‘Subdivision’ is a way of representing smooth shapes in a computer. A curve or surface (both of which contain an in?nite number of points) is described in terms of two objects. One object is a sequence of vertices, which we visualise as a polygon, for curves, or a network of vertices, which we visualise by drawing the edges or faces of the network, for surfaces. The other object is a set of rules for making denser sequences or networks. When applied repeatedly, the denser and denser sequences are claimed to converge to a limit, which is the curve or surface that we want to represent. This book focusses on curves, because the theory for that is complete enough that a book claiming that our understanding is complete is exactly what is needed to stimulate research proving that claim wrong. Also because there are already a number of good books on subdivision surfaces. The way in which the limit curve relates to the polygon, and a lot of interesting properties of the limit curve, depend on the set of rules, and this book is about how one can deduce those properties from the set of rules, and how one can then use that understanding to construct rules which give the properties that one wa | | Pindex | Textbook 2010 |
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发表于 2025-3-21 17:02:34
