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细分曲面造型技术英文版【正版保证】书籍详细信息
- ISBN：9787040475142
- 作者：暂无作者
- 出版社：暂无出版社
- 出版时间：2018-02
- 页数：暂无页数
- 价格：88.71
- 纸张：胶版纸
- 装帧：平装
- 开本：16开
- 语言：未知
- 丛书：暂无丛书
- TAG：暂无
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寄语：
【正版书籍 闪电发货 品质无忧 可开发票】
内容简介：
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。
书籍目录：
1?Introduction
1．1?Surface?Modeling
1．2?Concept?of?Subdivision?Surfaces
1．3?Development?of?Subdivision?Surfaces
1．4?Idea?of?This?Book
Remarks
Exercises
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
Remarks
Exercises
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?□?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
Remarks
Exercises
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
Remarks
Exercises
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
5．3．1?Contribution?of?Our?Method
5．3．2?General?Steps?to?Construct?n-Sided?Patches?with?Manifold?Method
5．3．3?Construction?of?Control?Meshes?of?Manifold?Patches
5．3．4?Parameter?Region，?Normalization?Mapping，?and?Basic?Function
5．3．5?Related?Vertex?and?Normalized?Basic?Functions
5．3．6?Properties?of?the?Patch?S
5．3．7?Extracting?Submeshes?from?C-C?Subdivision?Meshes
5．3．8?Examples
5．4?Subdivision?Modeling，?n-Sided?Patches?and?B-Spline?Boundaries
5．5?Construct?n-Sided?Patches?by?Using?Non-uniform?C-C?Subdivision?Scheme?and?Skirt-Removed?Approach
5．5．1?Skirt-Removed?Approach
5．5．2?Construct?n-Sided?Patches?by?Using?Non-uniform?C-C?Subdivision?Scheme?and?Skirt-Removed?Approach
5．6?Non-uniform?C-C?Subdivision?Surface?Interpolating?Corner?Vertices?of?Control?Meshes
5．7?Some?Examples?to?Construct?Patches?by?Using?the?Non-uniform?C-C?Subdivision?Scheme
Remarks
Exercises
6?Energy?Optimization?Method?and?Subdivision?Surfaces
6．1?Blending?Uniform?Bi-Cubic?B-Spline?Surfaces
6．1．1?Subdivision?Surface?Blending?of?B-Spline?Patches
6．1．2?Optimization?Model?Based?on?Physical?Energy
6．1．3?Compute?Control?Vertices?of?Subdivision?Patches
6．1．4?Preliminary?Discussion?on?Selecting?New?Vertices?by?Energy?Optimization?Method
6．1．5?Select?New?Vertices?by?Energy?Optimization?Method
6．1．6?Determine?Some?New?Vertices
6．1．7?Simplify?Optimization?Model
6．1．8?Examples
6．2?Interpolations?Using?Subdivision?Surfaces
6．2．1?Subdivision?Surface?and?Interpolation
6．2．2?Direct?Interpolation?Method
6．2．3?Interpolation?Method?with?Fairness
6．2．4?SOR?Iteration?Method?to?Solve?Linear?Systems
6．2．5?Compute?Boundary?Vertices
6．2．6?Evaluating?Energy?Norms?for?Meshes
6．2．7?Examples
Remarks
Exercises
7?Interactive?Shape?Editing?for?Subdivision?Surfaces
7．1?Adjustment?of?Subdivision?Meshes?Under?Simple?Geometrical?Constraints
7．1．1?Deformation?under?Simple?Geometrical?Constrains
7．1．2?Mapping?the?Relationship?of?Constraint?Points?Between?Successive?Subdivision?Levels
7．1．3?The?Deformation?Algorithm
7．2?Editing?of?Subdivision?Level?Meshes?Using?Potential?Functions
7．2．1?Mesh-Constrained?Deformations?Under?Potential?Functions
7．2．2?Updating?of?the?Potential?Function
7．3?Modification?of?the?Limit?Surface?Shape?Under?Geometrical?Constraints
7．3．1?Definition?of?Local?Geometrical?Information?for?Subdivision?Surfaces
7．3．2?Subdivision?Surface?Shape?Modification?Based?on?the?Least-Squares?Method
7．3．3?Subdivision?Surface?Shape?Modification?with?an?Energy?Optimization?Method
7．3．4?Examples?and?Analysis
Remarks
Exercises
8?Intersection?and?Trimming?of?Subdivision?Surfaces
8．1?Related?Work
8．2?Initial?Discrete?Intersection?of?Subdivision?Surfaces
8．2．1?Basic?Idea?of?Discrete?Intersection
8．2．2?Intersection?Test?Between?Quad?Meshes
8．2．3?Subdivision?of?the?Intersected?Mesh?Belt
8．2．4?Error?Control?for?Approximate?Intersection
8．2．5?Construction?of?Intersection?Lines
8．3?Calculating?High?Precision?Solutions?with?an?Iterative?Method
8．4?Trimming?Algorithm?for?Subdivision?Surfaces
8．4．1?Determination?of?a?Valid?Parameter?Domain?for?Trimmed?Subdivision?Surfaces
8．4．2?Display?of?Trimmed?Subdivision?Surfaces
8．5?Examples
Remarks
Exercises
9?Subdivision?Surfaces?and?Curve?Networks
9．1?Construction?of?a?Curve?Network
9．1．1?Basic?Concepts
9．1．2?Construction?of?a?Curve?Network
9．2?A?Combined?Subdivision?Scheme?and?Its?Improvement
9．2．1?Basic?Principles
9．2．2?Control?Meshes?of?Combined?Subdivision?Surfaces
9．2．3?Basic?Operators
9．2．4?Non-uniform?Combined?Subdivision?Schemes
9．3?The?Construction?of?a?Curve?Network?Interpolation?Surface
9．3．1?Steps?for?Constructing?an?Interpolated?Surface
9．3．2?Extension?of?the?Combined?Subdivision
9．3．3?Generation?of?the?Initial?Mesh
9．4?Shape?Modification?Based?on?Curve?Network?Editing
9．4．1?Overlapping?Subdivision?Method?for?a?Catmull-Clark?Subdivision?Surface
9．4．2?Overlapping?Subdivision?Method?for?Combined?Subdivision?Surfaces
9．4．3?Local?Updating?of?the?Combined?Subdivision?Surface
9．5?Shape?Fairing?of?a?Combined?Subdivision?Surface?Based?On?Discrete?PDE
9．5．1?Basic?Principle
9．5．2?A?Discrete?PDE?Fairing?Method
9．5．3?Basic?Steps
9．5．4?Example
Remarks
Exercises
10?Fitting?Unstructured?Triangle?Meshes?Using?Subdivision?Surfaces
10．1?A?Simplified?Shrink-Wrapping?Approach?for?Remeshing
10．1．1?Introduction?to?the?Shrink-Wrapping?Approach
10．1．2?Construction?of?Base?Meshes
10．1．3?Converting?a?Triangle?Mesh?to?a?Quadrilateral?Mesh
10．1．4?Adjusting?the?Positions?of?the?Vertices?of?Subdivided?Meshes
10．1．5?Choosing?Subdivision?Schemes
10．1．6?Error?Estimation
10．2?Surface?Fitting?by?SLP?（Subdivision?Limit?Position）
10．2．1?The?Error?Function?and?Its?Minimization
10．2．2?The?Base?Mesh?and?Subdivision
10．3?Subdivision?Surface?Fitting?with?a?Squared?Distance?Minimization?Method
10．3．1?Construction?of?the?Initial?Control?Mesh
10．3．2?Parameterization?of?Mesh?Vertices
10．3．3?Subdivision?Surface?Fitting?Using?a?Squared?Distance?Method
Remarks
Exercises
11?Poisson?Mesh?Editing?Guided?by?Subdivision?Surface
11．1?Traditional?Mesh?Editing?Method
11．2?Poisson?Mesh?Editing
11．3?Poisson?Mesh?Editing?Based?on?Subdivision?Surfaces
11．3．1?Construction?of?the?Model?Bounding?Mesh
11．3．2?Relationship?Between?the?Mesh?Model?and?Subdivision?Surfaces
11．3．3?Boundary?Conditions?of?Poisson?Equations?and?Mesh?Local?Transformation
11．3．4?Realization?of?Poisson?Reconstruction?Deformation
11．3．5?Multiresolution?Deformation
11．3．6?Deformation?Instance?Analysis
11．4?Mesh?Deformation?Based?on?Surface?Control
11．4．1?Determination?of?the?Deformation?Region
11．4．2?Refinement?of?the?Deformation?Region
11．4．3?Design?of?Subdivision?Control?Surfaces
11．4．4?The?Construction?of?Relationship?Between?The?Deformation?Mesh?and?the?Subdivision?Control?Surface
11．4．5?Design?of?the?Control?Curve
11．4．6?Local?Transformation?of?the?Triangle?in?The?Deformation?Region
11．4．7?Realization?of?the?Poisson?Reconstruction?Deformation
11．4．8?Deformation?Instances
Remarks
Exercises
References
作者介绍：
Wenhe?Liao?is?Professor?in?Nanjing?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?Design?and?Manufacturing?Technology,?Member?of?Geometric?Design?&?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?on?CAD/CAM.
Hao?Liu?is?Associate?Professor?in?Nanjing?Uni-versity?of?Aeronautics?and?Astronautics.?He?is?Member?of?Geometric?Design?&?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?than?ten?papers?on?geometry?modeling?and?CT?image?processing.
Tao?Li?is?Lecturer?in?Suzhou?University?of?Sci-ence?and?Technology.?His?research?fields?include?surface?modeling,?reverse?engineering?and?digi-tal?geometry?processing.?He?has?published?more?than?ten?papers?on?geometry?modeling?and?pro-cessing.
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