Numerical algorithms : methods for computer vision, machine learning, and graphics

Description

Most existing textbooks on this subject were written either for mathematics or engineering students and do not address the unique situation of computer science students, who have some background in discrete mathematics but less familiarity with continuous methods of proof and algorithms. This book is written specifically for those students, filled throughout with practical examples using the algorithms being taught. The book also teaches theory in the context of application in parallel by delving into real-world problems in computer graphics and computer vision. Read more... Abstract: Most existing textbooks on this subject were written either for mathematics or engineering students and do not address the unique situation of computer science students, who have some background in discrete mathematics but less familiarity with continuous methods of proof and algorithms. This book is written specifically for those students, filled throughout with practical examples using the algorithms being taught. The book also teaches theory in the context of application in parallel by delving into real-world problems in computer graphics and computer vision. Content: Cover Accessing the E-book edition Dedication Contents Preface Acknowledgments Section I: Preliminaries Chapter 1: Mathematics Review Chapter 2: Numerics and Error Analysis Section II: Linear Algebra Chapter 3: Linear Systems and the LU Decomposition Chapter 4: Designing and Analyzing Linear Systems Chapter 5: Column Spaces and QR Chapter 6: Eigenvectors Chapter 7: Singular Value Decomposition Section III: Nonlinear Techniques Chapter 8: Nonlinear Systems Chapter 9: Unconstrained Optimization Chapter 10: Constrained Optimization Chapter 11: Iterative Linear Solvers Chapter 12: Specialized Optimization MethodsSection IV: Functions, Derivatives, and Integrals Chapter 13: Interpolation Chapter 14: Integration and Differentiation Chapter 15: Ordinary Differential Equations Chapter 16: Partial Differential Equations Bibliography Back Cover