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Titlebook: Digital and Discrete Geometry; Theory and Algorithm Li M. Chen Book 2014 Springer International Publishing Switzerland 2014 Cloud Data Proc

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发表于 2025-3-21 16:18:52 | 显示全部楼层 |阅读模式
书目名称Digital and Discrete Geometry
副标题Theory and Algorithm
编辑Li M. Chen
视频video
概述Explains profound theorems such as Minkowski’s Theorem and solid applications such as persistent analysis.Provides natural links to profound topics including differential discrete geometry.Includes ca
图书封面Titlebook: Digital and Discrete Geometry; Theory and Algorithm Li M. Chen Book 2014 Springer International Publishing Switzerland 2014 Cloud Data Proc
描述This book provides comprehensive coverage of the modern methods for geometric problems in the computing sciences. It also covers concurrent topics in data sciences including geometric processing, manifold learning, Google search, cloud data, and R-tree for wireless networks and BigData..The author investigates digital geometry and its related constructive methods in discrete geometry, offering detailed methods and algorithms. The book is divided into five sections: basic geometry; digital curves, surfaces and manifolds; discretely represented objects; geometric computation and processing; and advanced topics. Chapters especially focus on the applications of these methods to other types of geometry, algebraic topology, image processing, computer vision and computer graphics..Digital and Discrete Geometry: Theory and Algorithms  targets  researchers and professionals working in digital image processing analysis, medical imaging (suchas CT and MRI) and informatics, computer graphics, computer vision, biometrics, and informati.on theory.  Advanced-level students in electrical engineering, mathematics, and computer science will also find this book useful as a secondary text book or refe
出版日期Book 2014
关键词Cloud Data Processing; Digital Spaces; Digital Surfaces; Digital and Discrete Geometry; Geometric Algori
版次1
doihttps://doi.org/10.1007/978-3-319-12099-7
isbn_softcover978-3-319-34862-9
isbn_ebook978-3-319-12099-7
copyrightSpringer International Publishing Switzerland 2014
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https://doi.org/10.1007/978-3-030-59527-2h thousands of years, humans have developed different types of geometry including: elementary geometry, analytic geometry, differential geometry, topology, algebraic geometry, and many other related research areas. Along with the fast development of digital computers, in recent years, people have be
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Elisabeth Vanderheiden,Claude-Hélène Mayerlosed digital curve is usually the boundary of a connected component. We first discuss how we precisely define a curve in a graph and Euclidean space, then we discuss how we represent digital curves. Digital curves have two important applications in computer graphics and computer vision: (a) Constru
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Shame and Ageing in a Transforming Worldiangulations. Therefore, is a digital surface a simple digitization of a continuous surface? The answer is no. This is because the basic 2D cell of digital surface in direct adjacency is a unit square and is not flexible enough to stick perfectly onto a continuous surface in order to compare with tr
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Elisabeth Vanderheiden,Claude-Hélène MayerThese algorithms are mainly for digital surfaces and manifolds. There are two types of questions to solve in this chapter: (1) Given a set of data ., decide or recognize whether the data represents a geometric shape, specifically a curve, surface, or solid object, and (2) Extract the curve or surfac
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Elisabeth Vanderheiden,Claude-Hélène Mayerts topological structure. Similar to digital manifolds defined in Chap. 5, the ideas presented in this chapter still use recursive definitions for discrete curves, surfaces, solid objects, and so on. Specifically, a vertex is a point-cell, and an edge is a line-cell. A surface-cell (2-cell) is defin
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