The CD content, including demos and content, is available on the web and for download.
Part VI: Simulation and Numerical Algorithms
Real-world computational problems have a variety of needs. Some computations, such as everyday office tasks like word processing, are inherently sequential in nature; others, such as computer graphics, physics simulation, and image processing, exhibit a large amount of data parallelism. Most applications require a mix of sequential and data-parallel computation, and modern computer systems are evolving to support these needs. The wide availability and relatively low cost of GPUs make them uniquely suited to serving the data-parallel needs of modern computing. This part of the book focuses on several examples of data-parallel computations that perform well on GPUs.
Bioinformatics and computational biology and chemistry are fast-growing areas in scientific computing. Chapter 43, "GPU Computing for Protein Structure Prediction," by Paulius Micikevicius of Armstrong Atlantic State University, presents a GPU implementation of a simple but important problem in the study of protein structure. The algorithm is highly data-parallel and is based on the well-known Floyd-Warshall all-pairs shortest-paths algorithm.
Systems of linear equations are very common in many types of problems. Chapter 44, "A GPU Framework for Solving Systems of Linear Equations," by Jens Krüger and Rüdiger Westermann of Technische Universität München, shows how to efficiently represent a variety of matrix and vector types on the GPU. Their framework provides basic operations that can be used to build up more complicated linear system solvers. As an example, they use the framework to build a conjugate gradient solver used in the simulation of the 2D wave equation.
Another growing area in parallel computing is computational finance. Investment firms currently use large clusters of processors to crunch huge amounts of data for purposes such as pricing stock options and credit derivatives. In Chapter 45, "Options Pricing on the GPU," Craig Kolb and Matt Pharr of NVIDIA describe an efficient GPU implementation of two widely used algorithms for options pricing.
Sorting is a fundamental algorithm in computer science. GPU implementation of sorting is important because when using the GPU for other parts of a computational system, even in cases where the CPU outperforms GPU-based sorting, it is more efficient to keep the data on the GPU and avoid unnecessary transfers back and forth to the CPU. In Chapter 46, "Improved GPU Sorting," Peter Kipfer and Rüdiger Westermann of Technische Universität München improve on the current state of the art in GPU-based sorting, showing how to bring as many GPU resources to bear on the problem as possible. The result is a useful and essential component for many applications.
Simulating fluid flow is important in many industries, from automotive and aerospace engineering to medicine. GPU simulation of fluids has been a popular topic for the past couple of years, because physically based simulation is a naturally data-parallel problem that maps well to the GPU architecture. Chapter 47, "Flow Simulation with Complex Boundaries," by Wei Li of Siemens Corporate Research and Zhe Fan, Xiaoming Wei, and Arie Kaufman of Stony Brook University, describes fluid simulation on the GPU using the Lattice-Boltzman technique, which models the transfer of "packets" of fluid between cells in a lattice. They also describe a novel technique for simulating the flow around arbitrary dynamic obstacles.
Electronic imaging has revolutionized how physicians diagnose and treat patients. Medical image processing is a growing field that involves large amounts of parallel computation. An essential algorithmic tool used in medical imaging (and any other type of signal processing) is the Fast Fourier Transform (FFT). Chapter 48, "Medical Image Reconstruction with the FFT," by Thilaka Sumanaweera and Donald Liu of Siemens Medical Solutions USA, presents an efficient implementation of the FFT on the GPU, including a number of insightful optimizations. Sumanaweera and Liu also describe how the FFT is used to reconstruct MRI and ultrasonic images on the GPU.
This part of the book demonstrates that GPUs are a powerful computational platform for solving a variety of data-parallel problems. The chapters included here are just a sample: many other types of computation have been implemented on GPUs, and I expect to see a wider variety, with even better performance, in the future. To keep up to date with developments in this exciting field, visit www.GPGPU.org.
Mark Harris, NVIDIA Corporation
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Library of Congress Cataloging-in-Publication Data
GPU gems 2 : programming techniques for high-performance graphics and general-purpose
computation / edited by Matt Pharr ; Randima Fernando, series editor.
Includes bibliographical references and index.
ISBN 0-321-33559-7 (hardcover : alk. paper)
1. Computer graphics. 2. Real-time programming. I. Pharr, Matt. II. Fernando, Randima.
GeForce™ and NVIDIA Quadro® are trademarks or registered trademarks of NVIDIA Corporation.
Nalu, Timbury, and Clear Sailing images © 2004 NVIDIA Corporation.
mental images and mental ray are trademarks or registered trademarks of mental images, GmbH.
Copyright © 2005 by NVIDIA Corporation.
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form, or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior consent of the publisher. Printed in the United States of America. Published simultaneously in Canada.
For information on obtaining permission for use of material from this work, please submit a written request to:
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Text printed in the United States on recycled paper at Quebecor World Taunton in Taunton, Massachusetts.
Second printing, April 2005
To everyone striving to make today's best computer graphics look primitive tomorrow
- Inside Back Cover
- Inside Front Cover
- Part I: Geometric Complexity
- Chapter 1. Toward Photorealism in Virtual Botany
- Chapter 2. Terrain Rendering Using GPU-Based Geometry Clipmaps
- Chapter 3. Inside Geometry Instancing
- Chapter 4. Segment Buffering
- Chapter 5. Optimizing Resource Management with Multistreaming
- Chapter 6. Hardware Occlusion Queries Made Useful
- Chapter 7. Adaptive Tessellation of Subdivision Surfaces with Displacement Mapping
- Chapter 8. Per-Pixel Displacement Mapping with Distance Functions
- Part II: Shading, Lighting, and Shadows
- Chapter 10. Real-Time Computation of Dynamic Irradiance Environment Maps
- Chapter 11. Approximate Bidirectional Texture Functions
- Chapter 12. Tile-Based Texture Mapping
- Chapter 13. Implementing the mental images Phenomena Renderer on the GPU
- Chapter 14. Dynamic Ambient Occlusion and Indirect Lighting
- Chapter 15. Blueprint Rendering and "Sketchy Drawings"
- Chapter 16. Accurate Atmospheric Scattering
- Chapter 17. Efficient Soft-Edged Shadows Using Pixel Shader Branching
- Chapter 18. Using Vertex Texture Displacement for Realistic Water Rendering
- Chapter 19. Generic Refraction Simulation
- Chapter 9. Deferred Shading in S.T.A.L.K.E.R.
- Part III: High-Quality Rendering
- Chapter 20. Fast Third-Order Texture Filtering
- Chapter 21. High-Quality Antialiased Rasterization
- Chapter 22. Fast Prefiltered Lines
- Chapter 23. Hair Animation and Rendering in the Nalu Demo
- Chapter 24. Using Lookup Tables to Accelerate Color Transformations
- Chapter 25. GPU Image Processing in Apple's Motion
- Chapter 26. Implementing Improved Perlin Noise
- Chapter 27. Advanced High-Quality Filtering
- Chapter 28. Mipmap-Level Measurement
- Part IV: General-Purpose Computation on GPUS: A Primer
- Chapter 29. Streaming Architectures and Technology Trends
- Chapter 30. The GeForce 6 Series GPU Architecture
- Chapter 31. Mapping Computational Concepts to GPUs
- Chapter 32. Taking the Plunge into GPU Computing
- Chapter 33. Implementing Efficient Parallel Data Structures on GPUs
- Chapter 34. GPU Flow-Control Idioms
- Chapter 35. GPU Program Optimization
- Chapter 36. Stream Reduction Operations for GPGPU Applications
- Part V: Image-Oriented Computing
- Chapter 37. Octree Textures on the GPU
- Chapter 38. High-Quality Global Illumination Rendering Using Rasterization
- Chapter 39. Global Illumination Using Progressive Refinement Radiosity
- Chapter 40. Computer Vision on the GPU
- Chapter 41. Deferred Filtering: Rendering from Difficult Data Formats
- Chapter 42. Conservative Rasterization
- Part VI: Simulation and Numerical Algorithms
- Chapter 43. GPU Computing for Protein Structure Prediction
- Chapter 44. A GPU Framework for Solving Systems of Linear Equations
- Chapter 45. Options Pricing on the GPU
- Chapter 46. Improved GPU Sorting
- Chapter 47. Flow Simulation with Complex Boundaries
- Chapter 48. Medical Image Reconstruction with the FFT