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Sampler of useful computational tools for applied geometry, computer graphics, and image processing / [edited by] Daniel Cohen-Or...[et al.].

Contributor(s): Material type: TextTextPublication details: Boca Raton : CRC Press, ©2015.Description: xiii, 230 pages : illustrations (some color) ; 26 cmISBN:
  • 9781498706285
Subject(s): DDC classification:
  • 510 23 C678
Contents:
Chapter 1. Analytical geometry / Olga Sorkine-Hornung and Daniel Cohen-Or -- chapter 2. Linear algebra? / Daniel Cohen-Or, Olga Sorkine-Hornung and Chen Greif -- chapter 3. Least-squares solutions / Niloy J. Mitra -- chapter 4. PCA and SVD / Olga Sorkine-Hornung -- chapter 5. Spectral transform / Hao (Richard) Zhang -- chapter 6. Solution of linear systems / Chen Greif -- chapter 7. Laplace and Poisson / Daniel Cohen-Or and Gil Hoffer -- chapter 8. Curvatures : a differential geometry tool / Niloy J. Mitra and Daniel Cohen-Or -- chapter 9. Dimensionality reduction / Hao (Richard) Zhang and Daniel Cohen-Or -- chapter 10. Scattered data interpolation / Tao Ju -- chapter 11. Topology : how are objects connected? / Niloy J. Mitra -- chapter 12. Graphs and images / Ariel Shamir -- chapter 13. Skewing scheme / Daniel Cohen-Or.
Summary: 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.
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Includes bibliographical references and index.

Chapter 1. Analytical geometry / Olga Sorkine-Hornung and Daniel Cohen-Or --
chapter 2. Linear algebra? / Daniel Cohen-Or, Olga Sorkine-Hornung and Chen Greif --
chapter 3. Least-squares solutions / Niloy J. Mitra --
chapter 4. PCA and SVD / Olga Sorkine-Hornung --
chapter 5. Spectral transform / Hao (Richard) Zhang --
chapter 6. Solution of linear systems / Chen Greif --
chapter 7. Laplace and Poisson / Daniel Cohen-Or and Gil Hoffer --
chapter 8. Curvatures : a differential geometry tool / Niloy J. Mitra and Daniel Cohen-Or --
chapter 9. Dimensionality reduction / Hao (Richard) Zhang and Daniel Cohen-Or --
chapter 10. Scattered data interpolation / Tao Ju --
chapter 11. Topology : how are objects connected? / Niloy J. Mitra --
chapter 12. Graphs and images / Ariel Shamir --
chapter 13. Skewing scheme / Daniel Cohen-Or.

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.

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