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Subdivision surface modeling technology

Author: Wenhe Liao; Hao Liu; Tao Li
Publisher: Singapore : Springer ; Beijing, China : Higher Education Press, 2017.
Edition/Format:  eBook : Document : EnglishView all editions and formats
Summary:
This book offers a comprehensive introduction to Subdivision Surface Modeling Technology focusing not only on fundamental theories but also on practical applications. It furthers readers' understanding of the contacts between spline surfaces and subdivision surfaces, enabling them to master the Subdivision Surface Modeling Technology for analyzing subdivision surfaces. Subdivision surface modeling is a popular  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Wenhe Liao; Hao Liu; Tao Li
ISBN: 9789811035159 9811035156
OCLC Number: 1005978690
Description: 1 online resource
Contents: ""Foreword""; ""Table of Symbols""; ""Notation""; ""Roman""; ""Greek Letters""; ""Miscellaneous""; ""Functions""; ""Contents""; ""1 Introduction""; ""1.1 Surface Modeling""; ""1.2 Concept of Subdivision Surfaces""; ""1.3 Development of Subdivision Surfaces""; ""1.4 Idea of This Book""; ""2 Splines and Subdivision""; ""2.1 B-Splines""; ""2.2 B-Spline Curves and Surfaces""; ""2.2.1 B-Spline Curves and Their Properties""; ""2.2.2 B-Spline Surfaces and Their Properties""; ""2.3 Knot Insertion Algorithm and Refinement of B-Spline Curves and Surfaces""; ""2.3.1 Subdivision of B-Spline Curves"" ""2.3.2 Subdivision of B-Spline Surface""""2.4 Uniform Subdivision of B-Spline Curves and Surfaces""; ""2.4.1 Subdivision of Uniform B-Spline Curves""; ""2.4.2 Subdivision of Uniform B-Spline Surfaces""; ""2.5 Box Spline""; ""2.5.1 Vector Group and Support Mesh""; ""2.5.2 Inductive Definition of Box Splines""; ""2.5.3 Basic Properties of Box Splines""; ""2.6 Box Spline Surfaces""; ""2.6.1 Definition and Properties""; ""2.6.2 Subdivision of Box Spline Surfaces""; ""2.6.3 Generating Function of Box Spline""; ""2.7 Subdivision Mask of Box Spline Surface""; ""3 Meshes and Subdivision"" ""3.1 Topological Structure of Meshes for Subdivision""""3.2 Regular Mesh""; ""3.3 Subdivision Scheme""; ""3.4 Quadrilateral Subdivision""; ""3.4.1 Doo --
Sabin Subdivision""; ""3.4.2 Catmull --
Clark Subdivision""; ""3.4.3 Non-uniform Subdivision""; ""3.5 Triangular Subdivision""; ""3.5.1 Loop Subdivision""; ""3.5.2 Butterfly Subdivision""; ""3.5.3 sqrt3 Subdivision""; ""3.6 Hexagonal Subdivision""; ""3.6.1 Convexity-Preserving Subdivision Scheme""; ""3.6.2 Honeycomb Subdivision Scheme""; ""3.7 4 --
8 Subdivision""; ""3.7.1 4 --
8 Meshes""; ""3.7.2 Subdivision Rules"" ""3.8 Classification of Subdivision Schemes""""4 Analysis of Subdivision Surface""; ""4.1 Subdivision Matrix""; ""4.2 Discrete Fourier Transform""; ""4.2.1 Fundament of DFT""; ""4.2.2 Discrete Fourier Transform""; ""4.2.3 Eigenvalues and Eigenvectors from DFT""; ""4.3 Eigenvalues Analysis""; ""4.3.1 Calculation of Eigenvalues and Eigenvectors""; ""4.3.2 Property of the Limit Surface""; ""4.3.3 Another Example for Eigenvalues Analysis""; ""4.4 Characteristic Mapping""; ""4.4.1 Annular Surface and Its Gradualness""; ""4.4.2 Definition of Characteristic Mapping"" ""4.4.3 Characteristic Mapping and Continuity of Subdivision Surfaces""""4.5 Parameter Evaluation""; ""4.5.1 Notations and Assumpsits""; ""4.5.2 Mathematical Setting""; ""4.5.3 Eigenstructure of Subdivision Matrix""; ""4.5.4 Eigenbases and Evaluation for Non-regular Patches""; ""4.5.5 Subdivision Matrix and Their Eigenstructures""; ""4.5.6 Eigenbasis Functions""; ""4.5.7 Parameter Evaluation and Characteristic Mapping""; ""5 n-Sided Patches and Subdivision Surfaces""; ""5.1 Methods for Constructing n-Sided Patches""; ""5.2 C-C Subdivision Surfaces and G2 Continuity"" ""5.3 n-Sided Patches and Catmull --
Clark Subdivision""
Responsibility: Wenhe Liao, Hao Liu, Tao Li.

Abstract:

It furthers readers' understanding of the contacts between spline surfaces and subdivision surfaces, enabling them to master the Subdivision Surface Modeling Technology for analyzing subdivision  Read more...

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"Surface modeling is a fundamental tool of CAGD. It's derived from the aeronautics industry because shapes of airplanes are complex and it is very difficult to express these shapes by using Read more...

 
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