细分曲面造型技术
￥ 59 6.0折 ￥ 99 九五品
仅1件
浙江杭州
认证卖家担保交易快速发货售后保障
作者廖文和,刘浩,李涛 著
出版社高等教育出版社
ISBN9787040475142
出版时间2018-02
版次1
装帧精装
开本16开
纸张胶版纸
页数307页
字数99999千字
定价99元
上书时间2024-03-26
商品详情
- 品相描述：九五品
- 商品描述
-
基本信息
书名:细分曲面造型技术
定价：99.00元
作者:廖文和,刘浩,李涛 著
出版社：高等教育出版社
出版日期：2018-02-01
ISBN：9787040475142
字数：600000
页码：307
版次：1
装帧：精装
开本：16开
商品重量：
编辑推荐
内容提要
细分曲面造型技术是当前计算机辅助设计和制造业数字化领域的一项重要的曲面造型技术，在逆向工程中有着重要的应用，在高端制造业、三维（3Ｄ）打印中的复杂形体设计和制造起到积极和不可或缺的作用。 《细分曲面造型技术》共11章，详细介绍细分曲面的理论和造型技术。主要内容包括：细分曲面的数学模型、细分曲面分析、细分曲面性质、面向Ｂ样条曲面混合的ｎ边域曲面片构造、ｎ边域曲面片的光顺、细分曲面插值、细分曲面编辑等。 《细分曲面造型技术》对理论内容进行了精简和浓缩，详细介绍了细分曲面的各种造型技术，可以作为计算数学和应用数学、计算机图形学和机械工程等专业高年级本科生选修、研究生学习的教材使用，也可供几何建模领域的开发人员和科学研究人员参考，还可以作为造型技术手册供工程设计人员查询。
目录
1 Introduction1．1 Surface Modeling1．2 Concept of SubdivisioSurfaces1．3 Development of SubdivisioSurfaces1．4 Idea of This BookRemarksExercises2 Splines and Subdivision2．1 B-Splines2．2 B-Spline Curves and Surfaces2．2．1 B-Spline Curves and Their Properties2．2．2 B-Spline Surfaces and Their Properties2．3 Knot InsertioAlgorithm and Refinement of B-Spline Curves and Surfaces2．3．1 Subdivisioof B-Spline Curves2．3．2 Subdivisioof B-Spline Surface2．4 Uniform Subdivisioof B-Spline Curves and Surfaces2．4．1 Subdivisioof Uniform B-Spline Curves2．4．2 Subdivisioof Uniform B-Spline Surfaces2．5 Box Spline2．5．1 Vector Group and Support Mesh2．5．2 Inductive Definitioof Box Splines2．5．3 Basic Properties of Box Splines2．6 Box Spline Surfaces2．6．1 Definitioand Properties2．6．2 Subdivisioof Box Spline Surfaces2．6．3 Generating Functioof Box Spline2．7 SubdivisioMask of Box Spline SurfaceRemarksExercises3 Meshes and Subdivision3．1 Topological Structure of Meshes for Subdivision3．2 Regular Mesh3．3 SubdivisioScheme3．4 Quadrilateral Subdivision3．4．1 Doo-SabiSubdivision3．4．2 Catmull-Clark Subdivision3．4．3 Non-uniform Subdivision3．5 Triangular Subdivision3．5．1 Loop Subdivision3．5．2 Butterfly Subdivision3．5．3 □ Subdivision3．6 Hexagonal Subdivision3．6．1 Convety-Preserving SubdivisioScheme3．6．2 Honeycomb SubdivisioScheme3．7 4-8 Subdivision3．7．1 4-8 Meshes3．7．2 SubdivisioRules3．8 Classificatioof SubdivisioSchemesRemarksExercises4 Analysis of SubdivisioSurface4．1 SubdivisioMatrix4．2 Discrete Fourier Transform4．2．1 Fundament of DFT4．2．2 Discrete Fourier Transform4．2．3 Eigenvalues and Eigenvectors from DFT4．3 Eigenvalues Analysis4．3．1 Calculatioof Eigenvalues and Eigenvectors4．3．2 Property of the Limit Surface4．3．3 Another Example for Eigenvalues Analysis4．4 Characteristic Mapping4．4．1 Annular Surface and Its Gradualness4．4．2 Definitioof Characteristic Mapping4．4．3 Characteristic Mapping and Continuity of SubdivisioSurfaces4．5 Parameter Evaluation4．5．1 Notations and Assumpsits4．5．2 Mathematical Setting4．5．3 Eigenstructure of SubdivisioMatrix4．5．4 Eigenbases and Evaluatiofor Non-regular Patches4．5．5 SubdivisioMatrix and Their Eigenstructures4．5．6 Eigenbasis Functions4．5．7 Parameter Evaluatioand Characteristic MappingRemarksExercises5 n-Sided Patches and SubdivisioSurfaces5．1 Methods for Constructing n-Sided Patches5．2 C-C SubdivisioSurfaces and G2 Continuity5．3 n-Sided Patches and Catmull-Clark Subdivision5．3．1 Contributioof Our Method5．3．2 General Steps to Construct n-Sided Patches with Manifold Method5．3．3 Constructioof Control Meshes of Manifold Patches5．3．4 Parameter Region， NormalizatioMapping， and Basic Function5．3．5 Related Vertex and Normalized Basic Functions5．3．6 Properties of the Patch S5．3．7 Extracting Submeshes from C-C SubdivisioMeshes5．3．8 Examples5．4 SubdivisioModeling， n-Sided Patches and B-Spline Boundaries5．5 Construct n-Sided Patchey Using Non-uniform C-C SubdivisioScheme and Skirt-Removed Approach5．5．1 Skirt-Removed Approach5．5．2 Construct n-Sided Patchey Using Non-uniform C-C SubdivisioScheme and Skirt-Removed Approach5．6 Non-uniform C-C SubdivisioSurface Interpolating Corner Vertices of Control Meshes5．7 Some Examples to Construct Patchey Using the Non-uniform C-C SubdivisioSchemeRemarksExercises6 Energy OptimizatioMethod and SubdivisioSurfaces6．1 Blending Uniform Bi-Cubic B-Spline Surfaces6．1．1 SubdivisioSurface Blending of B-Spline Patches6．1．2 OptimizatioModel Based oPhysical Energy6．1．3 Compute Control Vertices of SubdivisioPatches6．1．4 Preliminary DiscussiooSelecting New Verticey Energy OptimizatioMethod6．1．5 Select New Verticey Energy OptimizatioMethod6．1．6 Determine Some New Vertices6．1．7 Simplify OptimizatioModel6．1．8 Examples6．2 Interpolations Using SubdivisioSurfaces6．2．1 SubdivisioSurface and Interpolation6．2．2 Direct InterpolatioMethod6．2．3 InterpolatioMethod with Fairness6．2．4 SOR IteratioMethod to Solve Linear Systems6．2．5 Compute Boundary Vertices6．2．6 Evaluating Energy Norms for Meshes6．2．7 ExamplesRemarksExercises7 Interactive Shape Editing for SubdivisioSurfaces7．1 Adjustment of SubdivisioMeshes Under Simple Geometrical Constraints7．1．1 Deformatiounder Simple Geometrical Constrains7．1．2 Mapping the Relationship of Constraint Points BetweeSuccessive SubdivisioLevels7．1．3 The DeformatioAlgorithm7．2 Editing of SubdivisioLevel Meshes Using Potential Functions7．2．1 Mesh-Constrained Deformations Under Potential Functions7．2．2 Updating of the Potential Function7．3 Modificatioof the Limit Surface Shape Under Geometrical Constraints7．3．1 Definitioof Local Geometrical Informatiofor SubdivisioSurfaces7．3．2 SubdivisioSurface Shape ModificatioBased othe Least-Squares Method7．3．3 SubdivisioSurface Shape Modificatiowith aEnergy OptimizatioMethod7．3．4 Examples and AnalysisRemarksExercises8 Intersectioand Trimming of SubdivisioSurfaces8．1 Related Work8．2 Initial Discrete Intersectioof SubdivisioSurfaces8．2．1 Basic Idea of Discrete Intersection8．2．2 IntersectioTest BetweeQuad Meshes8．2．3 Subdivisioof the Intersected Mesh Belt8．2．4 Error Control for Appromate Intersection8．2．5 Constructioof IntersectioLines8．3 Calculating High PrecisioSolutions with aIterative Method8．4 Trimming Algorithm for SubdivisioSurfaces8．4．1 Determinatioof a Valid Parameter Domaifor Trimmed SubdivisioSurfaces8．4．2 Display of Trimmed SubdivisioSurfaces8．5 ExamplesRemarksExercises9 SubdivisioSurfaces and Curve Networks9．1 Constructioof a Curve Network9．1．1 Basic Concepts9．1．2 Constructioof a Curve Network9．2 A Combined SubdivisioScheme and Its Improvement9．2．1 Basic Principles9．2．2 Control Meshes of Combined SubdivisioSurfaces9．2．3 Basic Operators9．2．4 Non-uniform Combined SubdivisioSchemes9．3 The Constructioof a Curve Network InterpolatioSurface9．3．1 Steps for Constructing aInterpolated Surface9．3．2 Extensioof the Combined Subdivision9．3．3 Generatioof the Initial Mesh9．4 Shape ModificatioBased oCurve Network Editing9．4．1 Overlapping SubdivisioMethod for a Catmull-Clark SubdivisioSurface9．4．2 Overlapping SubdivisioMethod for Combined SubdivisioSurfaces9．4．3 Local Updating of the Combined SubdivisioSurface9．5 Shape Fairing of a Combined SubdivisioSurface Based ODiscrete PDE9．5．1 Basic Principle9．5．2 A Discrete PDE Fairing Method9．5．3 Basic Steps9．5．4 ExampleRemarksExercises10 Fitting Unstructured Triangle Meshes Using SubdivisioSurfaces10．1 A Simplified Shrink-Wrapping Approach for Remeshing10．1．1 Introductioto the Shrink-Wrapping Approach10．1．2 Constructioof Base Meshes10．1．3 Converting a Triangle Mesh to a Quadrilateral Mesh10．1．4 Adjusting the Positions of the Vertices of Subdivided Meshes10．1．5 Choosing SubdivisioSchemes10．1．6 Error Estimation10．2 Surface Fitting by SLP （SubdivisioLimit Position）10．2．1 The Error Functioand Its Minimization10．2．2 The Base Mesh and Subdivision10．3 SubdivisioSurface Fitting with a Squared Distance MinimizatioMethod10．3．1 Constructioof the Initial Control Mesh10．3．2 Parameterizatioof Mesh Vertices10．3．3 SubdivisioSurface Fitting Using a Squared Distance MethodRemarksExercises11 PoissoMesh Editing Guided by SubdivisioSurface11．1 Traditional Mesh Editing Method11．2 PoissoMesh Editing11．3 PoissoMesh Editing Based oSubdivisioSurfaces11．3．1 Constructioof the Model Bounding Mesh11．3．2 Relationship Betweethe Mesh Model and SubdivisioSurfaces11．3．3 Boundary Conditions of PoissoEquations and Mesh Local Transformation11．3．4 Realizatioof PoissoReconstructioDeformation11．3．5 MultiresolutioDeformation11．3．6 DeformatioInstance Analysis11．4 Mesh DeformatioBased oSurface Control11．4．1 Determinatioof the DeformatioRegion11．4．2 Refinement of the DeformatioRegion11．4．3 Desigof SubdivisioControl Surfaces11．4．4 The Constructioof Relationship BetweeThe DeformatioMesh and the SubdivisioControl Surface11．4．5 Desigof the Control Curve11．4．6 Local Transformatioof the Triangle iThe DeformatioRegion11．4．7 Realizatioof the PoissoReconstructioDeformation11．4．8 DeformatioInstancesRemarksExercisesReferences
作者介绍
Wenhe Liao is Professor iNanjing University of Aeronautics and Astronautics, also the Vice President of Nanjing University of Science and Technology. He is the director of the Research Centre for Digital Desigand Manufacturing Technology, Member of Geometric Desig& Computing Committee, China Society for In-dustrial and Applied Mathematics. His research fields include air three-dimensional （3D） digi-tal design, virtual assembly, and digital medical equipment technology and micro-satellite design. He has published 2 books and dozens of papers oCAD/CAM. Hao Liu is Associate Professor iNanjing Uni-versity of Aeronautics and Astronautics. He is Member of Geometric Desig& Computing Committee, China Society for Industrial and Applied Mathematics. His research fields include surface modeling, CAD/CAM, 3D printing and CT image processing. He has published a text-book and more thatepapers ogeometry modeling and CT image processing. Tao Li is Lecturer iSuzhou University of Sci-ence and Technology. His research fields include surface modeling, reverse engineering and digi-tal geometry processing. He has published more thatepapers ogeometry modeling and pro-cessing.
序言
1 Introduction1．1 Surface Modeling1．2 Concept of SubdivisioSurfaces1．3 Development of SubdivisioSurfaces1．4 Idea of This BookRemarksExercises2 Splines and Subdivision2．1 B-Splines2．2 B-Spline Curves and Surfaces2．2．1 B-Spline Curves and Their Properties2．2．2 B-Spline Surfaces and Their Properties2．3 Knot InsertioAlgorithm and Refinement of B-Spline Curves and Surfaces2．3．1 Subdivisioof B-Spline
-
【封面】
— 没有更多了 —
以下为对购买帮助不大的评价