Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics, 1st Edition (e-Book) book cover

Numerical Algorithms

Methods for Computer Vision, Machine Learning, and Graphics, 1st Edition

By Justin Solomon

A K Peters/CRC Press

400 pages

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pub: 2015-07-13
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Description

Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Table of Contents

Preliminaries: Mathematics Review. Numerics and Error Analysis. Linear Algebra: Linear Systems and the LU Decomposition. Designing and Analyzing Linear Systems. Column Spaces and QR. Eigenvectors. Singular Value Decomposition. Nonlinear Techniques: Nonlinear Systems. Unconstrained Optimization. Constrained Optimization. Iterative Linear Solvers. Specialized Optimization Methods. Functions, Derivatives, and Integrals: Interpolation. Integration and Differentiation. Ordinary Differential Equations. Partial Differential Equations.

About the Author

Justin Solomon is an assistant professor in the Department of Electrical Engineering and Computer Science at MIT, where he studies problems in shape analysis, machine learning, and graphics from a geometric perspective. He received a PhD in computer science from Stanford University, where he was also a lecturer for courses in graphics, differential geometry, and numerical methods. Subsequently he served as an NSF Mathematical Sciences Postdoctoral Fellow at Princeton's Program in Applied and Computational Mathematics. Before his graduate studies, he was a member of Pixar's Tools Research group.

Subject Categories

BISAC Subject Codes/Headings:
COM012000
COMPUTERS / Computer Graphics
COM012040
COMPUTERS / Programming / Games
MAT021000
MATHEMATICS / Number Systems
TEC037000
TECHNOLOGY & ENGINEERING / Robotics