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Information Theory Tools for Computer Graphics [Mīkstie vāki]

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Citas grāmatas par šo tēmu:
Information theory (IT) tools, widely used in scientific fields such as engineering, physics, genetics, neuroscience, and many others, are also emerging as useful transversal tools in computer graphics. In this book, we present the basic concepts of IT and how they have been applied to the graphics areas of radiosity, adaptive ray-tracing, shape descriptors, viewpoint selection and saliency, scientific visualization, and geometry simplification. Some of the approaches presented, such as the viewpoint techniques, are now the state of the art in visualization. Almost all of the techniques presented in this book have been previously published in peer-reviewed conference proceedings or international journals. Here, we have stressed their common aspects and presented them in an unified way, so the reader can clearly see which problems IT tools can help solve, which specific tools to use, and how to apply them. A basic level of knowledge in computer graphics is required but basic concepts in IT are presented. The intended audiences are both students and practitioners of the fields above and related areas in computer graphics. In addition, IT practitioners will learn about these applications.
Preface xi
Information Theory Basics
1(18)
Entropy
1(5)
Relative Entropy and Mutual Information
6(2)
Inequalities
8(2)
Jensen's Inequality
8(1)
Log-sum Inequality
9(1)
Jensen-Shannon Inequality
9(1)
Data Processing Inequality
10(1)
Entropy Rate
10(2)
Entropy and Coding
12(1)
Continuous Channel
13(2)
Information Bottleneck Method
15(1)
f-Divergences
16(1)
Generalized Entropies
17(2)
Scene Complexity and Refinement Criteria for Radiosity
19(28)
Background
19(6)
Radiosity Method
19(3)
Form Factor Computation
22(2)
Scene Random Walk
24(1)
Scene Information Channel
25(5)
Basic Definitions
25(3)
From Visibility to Radiosity
28(2)
Scene Complexity
30(8)
Continuous Scene Visibility Mutual Information
31(1)
Computation of Scene Visibility Complexity
32(1)
Complexity and Discretisation
33(5)
Refinement Criterion based on Mutual Information
38(3)
Loss of Information Transfer due to Discretisation
38(1)
Mutual-Information-Based Oracle for Hierarchical Radiosity
39(2)
Refinement Criteria Based on f-Divergences
41(6)
Shape Descriptors
47(10)
Background
47(1)
Inner Shape Complexity
48(5)
Complexity Measure
48(2)
Inner 3D-shape Complexity Results
50(2)
Inner 2D-shape Complexity Results
52(1)
Outer Shape Complexity
53(4)
Refinement Criteria for Ray-Tracing
57(26)
Background
57(2)
Pixel Quality
59(3)
Pixel Color Entropy
59(2)
Pixel Geometry Entropy
61(1)
Pixel Contrast
62(4)
Pixel Color Contrast
62(2)
Pixel Geometry Contrast
64(1)
Pixel Color-Geometry Contrast
65(1)
Entropy-Based Supersampling
66(1)
Algorithm
66(1)
Results
67(1)
Entropy-Based Adaptive Sampling
67(9)
Adaptive Sampling
67(3)
Algorithm
70(2)
Implementation
72(1)
Results
73(3)
f-Divergences in Adaptive Sampling for Ray-Tracing
76(7)
Algorithm
76(2)
Results
78(5)
Viewpoint Selection and Mesh Saliency
83(22)
Background
83(1)
Viewpoint Channel
84(5)
Viewpoint Entropy and Mutual Information
84(4)
Results
88(1)
Viewpoint Similarity and Stability
89(4)
Best View Selection and Object Exploration
93(3)
Selection of N Best Views
93(1)
Object Exploration
94(2)
View-based Polygonal Information and Saliency
96(4)
View-based Polygonal Information
97(1)
View-based Mesh Saliency
98(2)
Importance-driven Viewpoint Selection
100(5)
View-Selection in Scientific Visualization
105(12)
Adaptation From Polygons to Volumes
106(3)
Isosurfaces
106(1)
Volumetric Data
107(2)
Integration of Domain Semantics
109(8)
Visualization of Molecular Structures
109(2)
Guided Navigation in Data Semantics
111(6)
Viewpoint-based Geometry Simplification
117(16)
Background
117(1)
Viewpoint-Based Error Metric
118(3)
Analysis
119(2)
Simplification Algorithm
121(2)
Experiments
123(10)
Viewpoint Entropy
124(1)
Viewpoint Mutual Information
124(3)
Viewpoint Kullback-Leibler Distance
127(6)
Summary 133(2)
Bibliography 135(12)
Author Biographies 147(2)
Index 149