Mathematics and Visualization

By: Daniel Weiskopf

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Hardcover | 26 October 2006

At a Glance

Hardcover
330 Pages

Dimensions(cm)
24.13 x 15.88 x 1.27

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Scientific visualization has become an important tool for visual analysis in many scientific, engineering, and medical disciplines.

This book focuses on efficient visualization techniques, which are the prerequisite for the interactive exploration of complex data sets. High performance is primarily achieved by devising algorithms for the fast graphics processing units (GPUs) of modern graphics hardware. Other aspects discussed in the book include parallelization on cluster computers with several GPUs, adaptive rendering methods, multi-resolution models, and non-photorealistic rendering techniques for visualization. Covering both the theoretical foundations and practical implementations of algorithms, this book provides the reader with a basis to understand and reproduce modern GPU-based visualization approaches.

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You Can Find This Book In

Non-Fiction Psychology Mathematics Applied Mathematics Engineering & Technology Electronics & Communications Engineering Electronics Engineering Circuits & Components Combinatorics & Graph Theory Computing & I.T.Computer Science Human-Computer Interaction

Information Visualisation

Introduction	p. 1
Visualization Pipeline and Classification of Visualization Methods	p. 2
GPU Rendering Pipeline	p. 4
Programming Model	p. 5
APIs and Effect Files	p. 8
Methods and Goals	p. 8
Visualization of 3D Scalar Fields	p. 11
Optical Model for Volume Rendering	p. 13
Volume Rendering Pipeline	p. 15
Volume Rendering Approaches	p. 17
3D Texture Slicing	p. 18
2D Texture Slicing	p. 20
Ray Casting	p. 21
Shear-Warp Factorization	p. 25
Splatting	p. 26
Cell Projection	p. 27
Pre-Integrated Volume Rendering	p. 30
Variants and Extensions	p. 32
Maintaining Constant Frame Rates in 3D Texture-Based Volume Rendering	p. 33
Volume Clipping	p. 38
Depth-Based Clipping	p. 39
Clipping Based on Volumetric Textures	p. 47
Clipping and Pre-Integration	p. 52
Clipping and Volume Illumination	p. 55
Implementation	p. 63
Hierarchical Volume Visualization on GPU Clusters	p. 65
Previous and Related Approaches to Large-Data Volume Visualization	p. 66
Distributed Visualization	p. 67
Accelerated Compositing Scheme	p. 68
Hierarchical Compression and Adaptive Rendering	p. 69
Implementation and Results	p. 73
Summary	p. 77
Vector Field Visualization	p. 81
Basics of Particle Tracing	p. 82
Time-Dependent Vector Fields	p. 82
Lagrangian Particle Tracing	p. 84
Eulerian Particle Tracing	p. 85
Classification and Overview of Flow Visualization Methods	p. 85
Point-Based Direct Flow Visualization	p. 86
Sparse Representations for Particle-Tracing Techniques	p. 87
Dense Representations for Particle-Tracing Methods	p. 92
Feature-Based Visualization Approaches	p. 95
Semi-Lagrangian Noise and Dye Advection on Cartesian Domains	p. 97
Semi-Lagrangian Transport Mechanism	p. 98
GPU Implementation of Semi-Lagrangian Advection	p. 99
Lagrangian-Eulerian Advection	p. 105
Particle Injection	p. 107
Visual Mapping and Rendering	p. 109
Dye Advection Based on Level-Sets	p. 116
Distance Field as Level-Set	p. 118
Reinitialization of the Level-Set	p. 119
Discussion	p. 123
Extensions	p. 123
Implementation and Results	p. 126
Flow Visualization on Curved Surfaces	p. 128
Lagrangian Particle Tracing on Surfaces	p. 129
Visual Mapping and Noise Injection	p. 134
Effective Object and Flow Rendering	p. 136
Implementation	p. 138
Spacetime Framework for Time-Dependent Vector Fields	p. 140
Continuous Framework	p. 141
Texture-Based Discretization	p. 143
Visualization Approaches	p. 147
Implementation	p. 152
Results	p. 154
Summary	p. 157
Perception-Oriented and Non-Photorealistic Rendering	p. 161
Previous Work	p. 162
Color and the Perception of Motion	p. 163
Psychophysical and Physiological Research	p. 164
Design Guidelines	p. 167
Calibration	p. 169
Applications	p. 171
Color-Based Depth-Cueing	p. 176
Linear Transformations and Weighted Sum of Colors	p. 177
Appropriate Parameters for the Generic Depth-Cueing Scheme	p. 180
Implementation	p. 185
Applications	p. 186
Non-Photorealistic Rendering of Depth Structures via Continuous Tone-Shading	p. 191
Traditional Visualization of Semi-Transparency in Illustrations	p. 193
Semi-Transparency in Computer-Generated Illustrations	p. 194
Overview of Cutaway Illustrations	p. 201
Cutout Drawings	p. 204
Breakaway Illustrations	p. 211
Implementation and Performance of Surface Rendering	p. 213
Extension to Volume Illustrations	p. 215
Non-Photorealistic Halftoning	p. 217
The G-Buffer Concept	p. 218
Frame-to-Frame Coherent Halftoning	p. 220
The G[superscript 2]-Buffer Framework	p. 229
Summary	p. 232
Conclusion	p. 237
References	p. 249
Color Plates	p. 277
Index	p. 307
Table of Contents provided by Ingram. All Rights Reserved.

Mathematics and Visualization

At a Glance

Hardcover

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