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Graphical Simulation of Deformable Models 1st ed. 2016 [Kõva köide]

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  • Formaat: Hardback, 107 pages, kõrgus x laius: 235x155 mm, kaal: 454 g, 50 Illustrations, color; 1 Illustrations, black and white; XIX, 107 p. 51 illus., 50 illus. in color., 1 Hardback
  • Ilmumisaeg: 27-Dec-2016
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 3319510304
  • ISBN-13: 9783319510309
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Graphical Simulation of Deformable Models 1st ed. 2016Suurem pilt
  • Formaat: Hardback, 107 pages, kõrgus x laius: 235x155 mm, kaal: 454 g, 50 Illustrations, color; 1 Illustrations, black and white; XIX, 107 p. 51 illus., 50 illus. in color., 1 Hardback
  • Ilmumisaeg: 27-Dec-2016
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 3319510304
  • ISBN-13: 9783319510309
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9783319510309.html
Märksõnad:
This book covers dynamic simulation of deformable objects, which is one of the most challenging tasks in computer graphics and visualization. It focuses on the simulation of deformable models with anisotropic materials, one of the less common approaches in the existing research. Both physically-based and geometrically-based approaches are examined.  The authors start with transversely isotropic materials for the simulation of deformable objects with fibrous structures. Next, they introduce a fiber-field incorporated corotational finite element model (CLFEM) that works directly with a constitutive model of transversely isotropic material. A smooth fiber-field is used to establish the local frames for each element.  To introduce deformation simulation for orthotropic materials, an orthotropic deformation controlling frame-field is conceptualized and a frame construction tool is developed for users to define the desired material properties. The orthotropic frame-field is coupled wi

th the CLFEM model to complete an orthotropic deformable model.  Finally, the authors present an integrated real-time system for animation of skeletal characters with anisotropic tissues. To solve the problems of volume distortion and high computational costs, a strain-based PBD framework for skeletal animation is explained; natural secondary motion of soft tissues is another benefit.  The book is written for those researchers who would like to develop their own algorithms. The key mathematical and computational concepts are presented together with illustrations and working examples. It can also be used as a reference book for graduate students and senior undergraduates in the areas of computer graphics, computer animation, and virtual reality. Academics, researchers, and professionals will find this to be an exceptional resource. 

Introduction.- Mesh Representation of Deformable Models.- Dynamics Simulation in a Nutshell.- Fiber Controls in FEM Model for Transversely Isotropic Materials.- Dynamics Controls for Orthotropic Materials.- Skeletal Animation with Anisotropic Materials.- Discussions and Conclusions.
1 Introduction
1(26)
1.1 Geometrically-Based Methods
2(4)
1.1.1 Deformable Models in Shape Editing
2(2)
1.1.2 Position-Based Simulation Methods
4(2)
1.2 Mass Spring System and Particles System
6(1)
1.3 Physically-Based Deformable Models
7(10)
1.3.1 Stability-Concerned Models
8(3)
1.3.2 Efficiency-Concerned Models
11(6)
1.4 Hybrid Models: Bridging the Gap Between Geometrical and Physical Models
17(1)
1.4.1 Continuum-Based Constraints Within a PBD Framework
17(1)
1.4.2 Continuum-Based Constraints Within an Optimization Framework
17(1)
1.5 Control Methods of Deformable Models
18(1)
1.5.1 Example-Based Methods
18(1)
1.5.2 Space-Time Control
19(1)
1.6 Main Research Issues
19(2)
1.7 Organization of the
Chapters
21(6)
References
22(5)
2 Mesh Representation of Deformable Models
27(8)
2.1 Introduction
27(1)
2.2 Uniform Tetrahedral Mesh Generation
27(5)
2.2.1 Generating the Body Centered Cubic Grid and Identical Tetrahedra
28(1)
2.2.2 Computing the Cut Points
28(1)
2.2.3 Warping the Background Grid
29(2)
2.2.4 Choosing Stencils for the Tetrahedral Mesh
31(1)
2.3 Graded Interior Tetrahedra
32(2)
2.4 Summary
34(1)
Reference
34(1)
3 Dynamics Simulation in a Nutshell
35(14)
3.1 Introduction
35(1)
3.2 Elasticity in Three Dimensions
35(7)
3.2.1 Deformation Gradient
36(2)
3.2.2 Deformation Measure by Strain Tensor
38(1)
3.2.3 Elasticity and Measure of Deformation Energy
39(1)
3.2.4 Measure of Forces by Stress Tensor
40(2)
3.3 Discretization with Finite Element Method
42(1)
3.4 Formulation of Dynamics Simulation
43(3)
3.4.1 The Euler-Lagrangian Equations of Motion
43(1)
3.4.2 Time Integration Schemes
44(1)
3.4.3 Variational/Optimization Implicit Euler
45(1)
3.5 Summary
46(3)
References
46(3)
4 Fiber Controls in FEM Model for Transversely Isotropic Materials
49(18)
4.1 Introduction
49(1)
4.2 Constitutive Model of Transversely Isotropic Materials
50(1)
4.3 Fiber-Field Incorporated FEM Model
51(7)
4.3.1 The CLFEM Model
51(1)
4.3.2 Fiber-Field Incorporated FEM Model
52(6)
4.4 Implicit Time Integration for Dynamics
58(1)
4.5 Experiments and Assessments
59(5)
4.5.1 Impact of Fiber Field on the Elastic Stiffness
60(1)
4.5.2 Fibers with Heterogeneous Materials
60(2)
4.5.3 Validation
62(2)
4.6 Summary
64(3)
References
65(2)
5 Dynamics Controls for Orthotropic Materials
67(18)
5.1 Introduction
67(1)
5.2 Related Work
68(1)
5.3 Computational Model of Orthotropic Materials
68(2)
5.3.1 Elasticity Tensor of Orthotropic Materials
68(1)
5.3.2 Computation for Strain Energy Density
69(1)
5.4 Model Control with Spatially Varying Frame-Field
70(7)
5.4.1 Rotation Minimizing Frames as the Indication of Material Principal Axes
71(2)
5.4.2 Laplacian Smoothing of the RMFs
73(4)
5.4.3 Simulation of Orthotropic Deformable Models
77(1)
5.5 Experiments and Discussions
77(4)
5.5.1 Orthotropic FEM Dynamics
77(4)
5.6 Summary
81(4)
References
83(2)
6 Skeletal Animation with Anisotropic Materials
85(20)
6.1 Introduction
85(1)
6.2 Related Work
86(2)
6.3 Formation of the Skeletal Animation System
88(1)
6.3.1 Workflow of the System
88(1)
6.3.2 A Simplified Rigging Scheme
89(1)
6.4 Dynamics Simulation Within the PBD Framework
89(5)
6.4.1 Strain-Based Constraint
91(1)
6.4.2 Volume Constraint
91(1)
6.4.3 The Layered Constraint Solver
92(1)
6.4.4 Frame-Field Augmented Anisotropic Model
93(1)
6.4.5 Discussion
94(1)
6.5 Computational Results
94(8)
6.5.1 Setting of Constrained Elements
95(1)
6.5.2 Comparison with Conventional Skinning Methods
95(1)
6.5.3 Comparison with Unordered Constraint Solver
95(3)
6.5.4 Comparison of Isotropic and Anisotropic Deformations
98(2)
6.5.5 Comparison with Previous Skeletal Animation Using PBD
100(1)
6.5.6 Performance Analysis
101(1)
6.6 Summary
102(3)
References
103(2)
7 Discussions and Conclusions
105(2)
7.1 Reviews and Remarks
105(1)
7.2 Perspectives
106(1)
Reference 107