Modern Mathematics And Applications In Computer Graphics And Vision
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Author | : Hongyu Guo |
Publisher | : World Scientific Publishing Company |
Total Pages | : 523 |
Release | : 2014-04-01 |
Genre | : Computers |
ISBN | : 9814449350 |
This book presents a concise exposition of modern mathematical concepts, models and methods with applications in computer graphics, vision and machine learning. The compendium is organized in four parts — Algebra, Geometry, Topology, and Applications. One of the features is a unique treatment of tensor and manifold topics to make them easier for the students. All proofs are omitted to give an emphasis on the exposition of the concepts. Effort is made to help students to build intuition and avoid parrot-like learning.There is minimal inter-chapter dependency. Each chapter can be used as an independent crash course and the reader can start reading from any chapter — almost. This book is intended for upper level undergraduate students, graduate students and researchers in computer graphics, geometric modeling, computer vision, pattern recognition and machine learning. It can be used as a reference book, or a textbook for a selected topics course with the instructor's choice of any of the topics.
Author | : Hongyu Guo |
Publisher | : World Scientific Publishing Company |
Total Pages | : 0 |
Release | : 2014 |
Genre | : Computer graphics |
ISBN | : 9789814449335 |
Mathematical Structures; Algebra: Linear Algebra; Tensor Algebra; Exterior Algebra; Geometric Algebra; Geometry: Projective Geometry; Differential Geometry; Non-Euclidean Geometry; Topology and More: General Topology; Manifolds; Hilbert Spaces; Measure Spaces and Probability Spaces; Applications: Color Spaces; Perspective Analysis of Images; Quaternions and 3-D Rotations; Support Vector Machines and Reproducing Kernel Hilbert Spaces; Manifold Learning in Machine Learning;
Author | : Jonas Gomes |
Publisher | : Springer Science & Business Media |
Total Pages | : 365 |
Release | : 2013-04-17 |
Genre | : Computers |
ISBN | : 1475727453 |
The focus of this book is on providing a thorough treatment of image processing with an emphasis on those aspects most used in computer graphics. Throughout, the authors concentrate on describing and analysing the underlying concepts rather than on presenting algorithms or pseudocode. As befits a modern introduction to this topic, a healthy balance is struck between discussing the underlying mathematics of the subject and the main topics covered: signal processing, data discretization, the theory of colour and different colour systems, operations in images, dithering and half-toning, warping and morphing, and image processing.
Author | : Jean Gallier |
Publisher | : Springer Science & Business Media |
Total Pages | : 584 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461301378 |
As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.
Author | : John Vince |
Publisher | : Springer Science & Business Media |
Total Pages | : 251 |
Release | : 2005-12-19 |
Genre | : Computers |
ISBN | : 1846282837 |
This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics. The author, John Vince, makes the concepts easy to understand, enabling non-experts to come to terms with computer animation work. The book complements the author's other works and is written in the same accessible and easy-to-read style. It is also a useful reference book for programmers working in the field of computer graphics, virtual reality, computer animation, as well as students on digital media courses, and even mathematics courses.
Author | : David F. Rogers |
Publisher | : McGraw-Hill Science, Engineering & Mathematics |
Total Pages | : 648 |
Release | : 1990 |
Genre | : Computers |
ISBN | : |
This text is ideal for junior-, senior-, and graduate-level courses in computer graphics and computer-aided design taught in departments of mechanical and aeronautical engineering and computer science. It presents in a unified manner an introduction to the mathematical theory underlying computer graphic applications. It covers topics of keen interest to students in engineering and computer science: transformations, projections, 2-D and 3-D curve definition schemes, and surface definitions. It also includes techniques, such as B-splines, which are incorporated as part of the software in advanced engineering workstations. A basic knowledge of vector and matrix algebra and calculus is required.
Author | : Samuel R. Buss |
Publisher | : Cambridge University Press |
Total Pages | : 397 |
Release | : 2003-05-19 |
Genre | : Computers |
ISBN | : 1139440381 |
This textbook, first published in 2003, emphasises the fundamentals and the mathematics underlying computer graphics. The minimal prerequisites, a basic knowledge of calculus and vectors plus some programming experience in C or C++, make the book suitable for self study or for use as an advanced undergraduate or introductory graduate text. The author gives a thorough treatment of transformations and viewing, lighting and shading models, interpolation and averaging, Bézier curves and B-splines, ray tracing and radiosity, and intersection testing with rays. Additional topics, covered in less depth, include texture mapping and colour theory. The book covers some aspects of animation, including quaternions, orientation, and inverse kinematics, and includes source code for a Ray Tracing software package. The book is intended for use along with any OpenGL programming book, but the crucial features of OpenGL are briefly covered to help readers get up to speed. Accompanying software is available freely from the book's web site.
Author | : Alexandre Hardy |
Publisher | : World Scientific |
Total Pages | : 494 |
Release | : 2008 |
Genre | : Computers |
ISBN | : 9812791027 |
Presents introductory and advanced topics in the field of computer graphics with mathematical descriptions and derivations. This book offers a balance of theory, applications, and code, and derives the underlying numerical methods and algorithms. It contains the classes in C# necessary for computer graphics, and offers an explanation of the code.
Author | : Justin Solomon |
Publisher | : CRC Press |
Total Pages | : 400 |
Release | : 2015-06-24 |
Genre | : Computers |
ISBN | : 1482251892 |
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
Author | : Richard Hartley |
Publisher | : Cambridge University Press |
Total Pages | : 676 |
Release | : 2004-03-25 |
Genre | : Computers |
ISBN | : 1139449141 |
A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.