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Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing [Pehme köide]

Edited by (Simon Fraser University, Burnaby, British Columbia, Canada), Edited by (ETH Zurich, Switzerland), Edited by , Edited by (Washington University, St. Louis, Missouri, USA), Edited by (University of British Columbia, Vancouver, Canada), Edited by (Tel Aviv University, Israel), Edited by
  • Formaat: Paperback / softback, 244 pages, kõrgus x laius: 254x178 mm, kaal: 1330 g
  • Ilmumisaeg: 30-Sep-2020
  • Kirjastus: CRC Press
  • ISBN-10: 036765878X
  • ISBN-13: 9780367658786
  • Formaat: Paperback / softback, 244 pages, kõrgus x laius: 254x178 mm, kaal: 1330 g
  • Ilmumisaeg: 30-Sep-2020
  • Kirjastus: CRC Press
  • ISBN-10: 036765878X
  • ISBN-13: 9780367658786

A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection of mathematical techniques to solve important problems in applied mathematics and computer science areas. The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics, from matrix decomposition to curvature analysis and principal component analysis to dimensionality reduction.





Written by a team of highly respected professors, the book can be used in a one-semester, intermediate-level course in computer science. It takes a practical problem-solving approach, avoiding detailed proofs and analysis. Suitable for readers without a deep academic background in mathematics, the text explains how to solve non-trivial geometric problems. It quickly gets readers up to speed on a variety of tools employed in visual computing and applied geometry.

Arvustused

" a useful book (the title is correct!) that covers a wealth of processing tools in a single volume accessible to experts and novices alike. Each chapter is stand-alone, so the reader can learn the material quickly without the need to study earlier chapters. The text is lucid and easy to read, and follows a logical progression. Equations are explained, and the authors provide ample figures and pictures to illustrate the concepts and discussions. this book is a good collection of algorithms and tools for computer graphics. The topics are useful, well presented, and collected in a single book for easy access. If you work in this area, youll find this book beneficial." MAA Reviews, April 2016

"This book presents solutions to many commonly used computational problems in applied geometry, computer graphics, and image processing. It covers a wide range of mathematics in a practical and useful way. the content is easy to follow even for readers without a good mathematical backgound. The book is a good starting point for those who want to become familiar with a wide area of applications of mathematical tools in computer graphics and image processing. It can be used as a semester textbook or for self-study. It is intended for practitioners who want to learn the most commonly used methods in the mentioned scientific area." Zentralblatt MATH 1322

"This is the book I really missed and was thinking of authoring myself for my students. This book did it perfectly. It compactly and beautifully explains important mathematical tools for problem solving in geometry and image processing. A must-read for practitioners, researchers, and students in graphics." Takeo Igarashi, The University of Tokyo

"An intuitive quick tour of many important topics in geometry and image processing, showing insightful associations between concepts in geometry and algebra. It is illustrated using practical examples and is a fun refr

About the Book
Book Contents
Chapter 1 Analytical Geometry
1(12)
Olga Sorkine-Hornung
Daniel Cohen-Or
Chapter 2 Linear Algebra?
13(18)
Daniel Cohen-Or
Olga Sorkine-Hornung
Chen Greif
Chapter 3 Least-Squares Solutions
31(16)
Niloy J. Mitra
Chapter 4 PC A and SVD
47(16)
Olga Sorkine-Hornung
Chapter 5 Spectral Transform
63(18)
Hao (Richard) Zhang
Chapter 6 Solution of Linear Systems
81(18)
Chen Greif
Chapter 7 Laplace and Poisson
99(18)
Daniel Cohen-Or
Gil Hoffer
Chapter 8 Curvatures: A Differential Geometry Tool
117(14)
Niloy J. Mitra
Daniel Cohen-Or
Chapter 9 Dimensionality Reduction
131(16)
Hao (Richard) Zhang
Daniel Cohen-Or
Chapter 10 Scattered Data Interpolation
147(16)
Tao Ju
Chapter 11 Topology: How Are Objects Connected?
163(14)
Niloy J. Mitra
Chapter 12 Graphs and Images
177(28)
Ariel Shamir
Chapter 13 Skewing Scheme
205(8)
Daniel Cohen-Or
Bibliography 213(10)
Index 223
Daniel Cohen-Or, Chen Grief, Tao Ju, Niloy J. Mitra, Ariel Shamir, Olga Sorkine-Hornung, Hao (Richard) Zhang