Information theory tools for computer graphics

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Last edited by ImportBot
February 25, 2022 | History

Information theory tools for computer graphics

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.

Publish Date
Language
English

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Edition Availability
Cover of: Information Theory Tools for Computer Graphics
Information Theory Tools for Computer Graphics
2009, Springer International Publishing AG
in English
Cover of: Information theory tools for computer graphics
Information theory tools for computer graphics
2009, Morgan & Claypool Publishers
electronic resource / in English

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Book Details


Table of Contents

1. Information theory basics
Entropy
Relative entropy and mutual information
Inequalities
Jensen's inequality
Log-sum inequality
Jensen-Shannon inequality
Data processing inequality
Entropy rate
Entropy and coding
Continuous channel
Information bottleneck method
F-divergences
Generalized entropies
2. Scene complexity and refinement criteria for radiosity
Background
Radiosity method
Form factor computation
Scene random walk
Scene information channel
Basic definitions
From visibility to radiosity
Scene complexity
Continuous scene visibility mutual information
Computation of scene visibility complexity
Complexity and discretisation
Refinement criterion based on mutual information
Loss of information transfer due to discretisation
Mutual-information-based oracle for hierarchical radiosity
Refinement criteria based on f-divergences
3. Shape descriptors
Background
Inner shape complexity
Complexity measure
Inner 3D-shape complexity results
Inner 2D-shape complexity results
Outer shape complexity.
4. Refinement criteria for ray-tracing
Background
Pixel quality
Pixel color entropy
Pixel geometry entropy
Pixel contrast
Pixel color contrast
Pixel geometry contrast
Pixel color-geometry contrast
Entropy-based supersampling
Algorithm
Results
Entropy-based adaptive sampling
Adaptive sampling
Algorithm
Implementation
Results
F-divergences in adaptive sampling for ray-tracing
Algorithm
Results
5. Viewpoint selection and mesh saliency
Background
Viewpoint channel
Viewpoint entropy and mutual information
Results
Viewpoint similarity and stability
Best view selection and object exploration
Selection of N best views
Object exploration
View-based polygonal information and saliency
View-based polygonal information
View-based mesh saliency
Importance-driven viewpoint selection
6. View selection in scientific visualization
Adaptation from polygons to volumes
Isosurfaces
Volumetric data
Integration of domain semantics
Visualization of molecular structures
Guided navigation in data semantics
7. Viewpoint-based geometry simplification
Background
Viewpoint-based error metric
Analysis
Simplification algorithm
Experiments
Viewpoint entropy
Viewpoint mutual information
Viewpoint Kullback-Leibler distance
Summary
Bibliography
Author biographies
Index.

Edition Notes

Part of: Synthesis digital library of engineering and computer science.

Title from PDF t.p. (viewed on September 9, 2009).

Series from website.

Includes bibliographical references (p. 135-146) and index.

Abstract freely available; full-text restricted to subscribers or individual document purchasers.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat reader.

Published in
San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA)
Series
Synthesis lectures on computer graphics and animation -- # 12
Other Titles
Synthesis digital library of engineering and computer science.

Classifications

Dewey Decimal Class
006.6869
Library of Congress
T385 .I538 2009

The Physical Object

Format
[electronic resource] /

ID Numbers

Open Library
OL25544806M
Internet Archive
informationtheor00sber
ISBN 13
9781598299304, 9781598299298

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February 25, 2022 Edited by ImportBot import existing book
July 1, 2019 Edited by MARC Bot import existing book
July 28, 2014 Created by ImportBot import new book