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Modern Mathematics and Applications in Computer Graphics and Vision

Autor Hongyu Guo
en Limba Engleză Paperback – 31 iul 2014
The book presents a comprehensive overview of modern mathematical concepts, models, methods and tools with applications in computer graphics, computer vision and machine learning. Fifteen topics in modern mathematics are arranged in three parts: algebra, geometry and topology, with an emphasis on tensors and manifolds. and a separate part on applications. It can be used as a textbook for a selected topics course at the undergraduate or graduate level. It can also be used as fifteen short crash courses for self-study of any of the topics in any order, with minimal inter-chapter dependencies. This book is based on the lecture notes of two courses the author has taught in the US - "Gaming Mathematics" at the undergraduate level and "Mathematical Methods in Computer Graphics and Vision" at the graduate level, with considerable expansions.
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Specificații

ISBN-13: 9789814449335
ISBN-10: 9814449334
Pagini: 498
Dimensiuni: 152 x 226 x 30 mm
Greutate: 0.75 kg
Editura: World Scientific Publishing Company

Cuprins

Algebra: Abstract Algebra; Linear Algebra; Tensor Algebra; Exterior Algebra; Geometric Algebra; Boolean Algebra; Geometry: Projective Geometry; Affine Geometry; Differential Geometry; Riemannian Geometry; Non-Euclidean Geometry; Topology: General Topology; Manifolds; Hilbert Spaces; Measure Spaces; Applications: Color Spaces; Projective Geometry and Photography; Tensor Product Spline Surfaces; Image Algebra; Manifold Learning; Support Vector Machines.