Warping and Morphing
of Graphical Objects

Jonas Gomes, Lucia Darsa, Bruno Costa and Luiz Velho

Morgan Kaufmann Publishers, Inc.


Table of Contents

Part I - Part II - Part III - Part IV

 

Part I - Basic Concepts

Chapter 1 - Introduction

1.1 Metamorphosis
1.2 Uses of Shape Transformations
1.3 Metamorphosis and Computer Graphics
1.4 Conceptual Framework
1.5 Paradigm of the Universes
1.6 Structure of the Book
1.7 Comments and References

Chapter 2 - Graphical Objects

2.1 The Concept of a Graphical Object
2.2 Examples of Graphical Objects
2.3 Comments and References

Chapter 3 - Transformation of Graphical Objects

3.1 Transformations of the Space
3.2 Transforming Graphical Objects
3.3 Classes of Transformations
3.4 Linear Transformations
3.5 Affine Transformations
3.6 Bilinear Interpolation
3.7 Projective Space and Transformations
3.8 Coons Patch Transformation
3.9 Conformal Transformations
3.10 Families of Transformation
3.11 Comments and References

Chapter 4 - Warping and Morphing

4.1 Basic Definitions and Examples
4.2 Metamorphosis and Topology Type
4.3 Plane and Spatial Warping
4.4 Metamorphosis and Interpolation
4.5 Different Views of Warping and Morphing
4.6 Optimal Morphing
4.7 Morphing = Geometry Alignment + Blending
4.8 Comments and References

Chapter 5 - Domain and Range Morphing

5.1 Procedural Modeling and Metamorphosis
5.2 Domain Transformations: Warping
5.3 Range Transformations
5.4 Comments and References

Chapter 6 - Image Mapping

6.1 Warping and Image Mapping
6.2 Image Mapping Techniques
6.3 Some Applications of Image Mapping
6.4 Comments and References

 

Part II - Graphical Objects

Chapter 7 - Introduction to Part II

7.1 Computational Pipeline of Graphical Objects
7.2 Comments and References

Chapter 8 - Description of Graphical Objects

8.1 Implicit Shape Description
8.2 Parametric Shape Description
8.3 Algorithmic Shape Description
8.4 Piecewise Shape Description
8.5 Comments and References

Chapter 9 - Representation of Graphical Objects

9.1 Object Representation
9.2 Shape Representation
9.3 Function Representation
9.4 Representation and Level of Detail
9.5 Blending and Representation Compatibility
9.6 Comments and References

Chapter 10 - Reconstruction of Graphical Objects

10.1 Reconstruction and Interpolation
10.2 Representation and Reconstruction
10.3 Function Reconstruction
10.4 Shape Reconstruction
10.5 Sampling, Reconstruction, and Aliasing
10.6 Resampling
10.7 Comments and References

 

Part III - Transformations of Graphical Objects

Chapter 11 - Introduction to Part III

11.1 Computational Pipeline of Transformations
11.2 Description of Transformations
11.3 Representation of Transformations
11.4 Representation and Reconstruction
11.5 Comments and References

Chapter 12 - Specification of Transformations

12.1 The Specification Problem
12.2 Parametric Specification
12.3 Algorithmic Specification
12.4 Specification by Parts
12.5 Specification and User Interface
12.6 Comments and References

Chapter 13 - Computation of Transformations

13.1 Forward and Inverse Computation
13.2 Multiple-Pass Warping
13.3 Scheduled Computation
13.4 Comments and References

Chapter 14 - Warping and Morphing Techniques

14.1 Parameter-Based Techniques
14.2 Feature-Based Techniques
14.3 Free-Form Techniques
14.4 Hybrid Techniques
14.5 Algorithmic Techniques
14.6 Morphing Techniques
14.7 Comments and References

 

Part IV - A Tour of Warping and Morphing

Chapter 15 - Introduction to Part IV

15.1 Classes of Graphical Objects
15.2 Warping and Morphing of Sound
15.3 Warping and Morphing Techniques and Representation
15.4 Comments and References

Chapter 16 - Image-based Rendering

16.1 Image-Based Rendering Pipeline
16.2 Morphing and Image-Based Rendering
16.3 Case Study: A Tour into the Picture
16.4 Scene Sampling
16.5 Reconstruction
16.6 Virtual Panoramas
16.7 Image-Based Navigation
16.8 Hybrid Rendering Pipelines
16.9 Comments and References

Chapter 17 - Warping and Morphing of Plane Curves

17.1 Planar Curves and Regions
17.2 Attributes of Plane Curves
17.3 Representation and Reconstruction
17.4 Metamorphosis of Planar Curves
17.5 Specification Techniques
17.6 Metamorphosis Techniques
17.7 Warping by Normal Evolution
17.8 Metamorphosis by Guided Warping
17.9 Comments and References

Chapter 18 - Warping and Morphing of Images

18.1 Images
18.2 Description and Representation
18.3 Image Warping and Morphing: A Brief Overview
18.4 Warping and Morphing Techniques
18.5 Image Combination
18.6 Scheduled Image Morphs
18.7 Real-Time Warping Using Texture Mapping
18.8 Comments and References

Chapter 19 - Warping and Morphing of Surfaces

19.1 Preliminary Definitions
19.2 Warping Specification
19.3 Warping by Parametric Specification
19.4 Warping by Change of Coordinates
19.5 Warping Using Point Specification
19.6 Surface Metamorphosis
19.7 Comment and References

Chapter 20 - Warping and Morphing of Volumetric Objects

20.1 Volumetric Objects
20.2 Warping Techniques
20.3 Warping Computation
20.4 Blending Techniques
20.5 Warping, Morphing, and Cross-Dissolve
20.6 Jump Discontinuity and Regularization
20.7 A Brief Survey of Volumetric Morphing
20.8 Comments and References

Chapter 21 - The Morphos System

21.1 System's Characteristics
21.2 System's Architecture
21.3 Kernel Level
21.4 Support Level
21.5 Platform Level
21.6 The System
21.7 Examples
21.8 Comments and References


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