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Titlebook: Mathematical Tools for Shape Analysis and Description; Silvia Biasotti,Bianca Falcidieno,Michela Spagnuol Book 2014 Springer Nature Switze

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书目名称Mathematical Tools for Shape Analysis and Description
编辑Silvia Biasotti,Bianca Falcidieno,Michela Spagnuol
视频video
丛书名称Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and
图书封面Titlebook: Mathematical Tools for Shape Analysis and Description;  Silvia Biasotti,Bianca Falcidieno,Michela Spagnuol Book 2014 Springer Nature Switze
描述This book is a guide for researchers and practitioners to the new frontiers of 3D shape analysis and the complex mathematical tools most methods rely on. The target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. The authors begin with a quick review of basic concepts in geometry, topology, differential geometry, and proceed to advanced notions of algebraic topology, always keeping an eye on the application of the theory, through examples of shape analysis methods such as 3D segmentation, correspondence, and retrieval. A number of research solutions in the field come from advances in pure and applied mathematics, as well as from the re-reading of classical theories and their adaptation to the discrete setting. In a world where disciplines (fortunately) have blurred boundaries, the authors believe that this guide will help to bridge the distance between theory and practice.Table of Contents: Acknowledgments / Figure Credits / About this Book / 3D Shape Analysis in a Nutshell / Geometry, Topology, and Shape Representation / Differential Geometry and Shape Analysis / Spe
出版日期Book 2014
版次1
doihttps://doi.org/10.1007/978-3-031-79558-9
isbn_softcover978-3-031-79557-2
isbn_ebook978-3-031-79558-9Series ISSN 2469-4215 Series E-ISSN 2469-4223
issn_series 2469-4215
copyrightSpringer Nature Switzerland AG 2014
The information of publication is updating

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Mathematical Tools for Shape Analysis and Description978-3-031-79558-9Series ISSN 2469-4215 Series E-ISSN 2469-4223
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Geometry, Topology, and Shape Representation,In this chapter, we introduce a number of concepts, focusing on those which are common to most of the following chapters. Many more concepts will be introduced later on, to support the formalization of advanced techniques for shape analysis.
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Morse and Morse-Smale Complexes,The intuition behind Morse and Morse-Smale complexes was given by Maxwell [136]:
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Differential Geometry and Shape Analysis,objects in computer graphics. We will draw our attention to surfaces with a geometric perspective: geometry is one of the oldest fields in mathematics, and it is concerned with questions of shape and size measurements. Geometry is still used to model objects, as our ancestors once did, but today geo
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Spectral Methods for Shape Analysis, is the peculiar characteristic of spectral methods: the decomposition and expression of a complex function into a set of simpler ones. Probably, the most popular example is Fourier analysis, which studies the way general functions maybe represented or approximated by sums of simpler trigonometric f
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