Modern Mathematics And Applications In Computer Graphics And Vision

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Modern Mathematics And Applications In Computer Graphics And Vision

Author : Hongyu Guo
Publisher : World Scientific Publishing Company
ISBN 13 : 9814449350
Total Pages : 523 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Modern Mathematics And Applications In Computer Graphics And Vision by : Hongyu Guo

Download or read book Modern Mathematics And Applications In Computer Graphics And Vision written by Hongyu Guo and published by World Scientific Publishing Company. This book was released on 2014-04-01 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Mathematics and Applications in Computer Graphics and Vision

Author : Hongyu Guo
Publisher :
ISBN 13 : 9789814449342
Total Pages : pages
Book Rating : 4.4/5 (493 download)

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Book Synopsis Modern Mathematics and Applications in Computer Graphics and Vision by : Hongyu Guo

Download or read book Modern Mathematics and Applications in Computer Graphics and Vision written by Hongyu Guo and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Mathematics and Applications in Computer Graphics and Vision

Author : Hongyu Guo
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789814449328
Total Pages : 498 pages
Book Rating : 4.4/5 (493 download)

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Book Synopsis Modern Mathematics and Applications in Computer Graphics and Vision by : Hongyu Guo

Download or read book Modern Mathematics and Applications in Computer Graphics and Vision written by Hongyu Guo and published by World Scientific Publishing Company Incorporated. This book was released on 2014 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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;

Image Processing for Computer Graphics

Author : Jonas Gomes
Publisher : Springer Science & Business Media
ISBN 13 : 1475727453
Total Pages : 365 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Image Processing for Computer Graphics by : Jonas Gomes

Download or read book Image Processing for Computer Graphics written by Jonas Gomes and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Methods and Applications

Author : Jean Gallier
Publisher : Springer Science & Business Media
ISBN 13 : 1461301378
Total Pages : 584 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Geometric Methods and Applications by : Jean Gallier

Download or read book Geometric Methods and Applications written by Jean Gallier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

3D Computer Graphics

Author : Samuel R. Buss
Publisher : Cambridge University Press
ISBN 13 : 1139440381
Total Pages : 397 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis 3D Computer Graphics by : Samuel R. Buss

Download or read book 3D Computer Graphics written by Samuel R. Buss and published by Cambridge University Press. This book was released on 2003-05-19 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Invitation to 3-D Vision

Author : Yi Ma
Publisher : Springer Science & Business Media
ISBN 13 : 0387217797
Total Pages : 542 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis An Invitation to 3-D Vision by : Yi Ma

Download or read book An Invitation to 3-D Vision written by Yi Ma and published by Springer Science & Business Media. This book was released on 2012-11-06 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the geometry of 3-D vision, that is, the reconstruction of 3-D models of objects from a collection of 2-D images. It details the classic theory of two view geometry and shows that a more proper tool for studying the geometry of multiple views is the so-called rank consideration of the multiple view matrix. It also develops practical reconstruction algorithms and discusses possible extensions of the theory.

Numerical Algorithms

Author : Justin Solomon
Publisher : CRC Press
ISBN 13 : 1482251892
Total Pages : 400 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Numerical Algorithms by : Justin Solomon

Download or read book Numerical Algorithms written by Justin Solomon and published by CRC Press. This book was released on 2015-06-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Multiple View Geometry in Computer Vision

Author : Richard Hartley
Publisher : Cambridge University Press
ISBN 13 : 1139449141
Total Pages : 676 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Multiple View Geometry in Computer Vision by : Richard Hartley

Download or read book Multiple View Geometry in Computer Vision written by Richard Hartley and published by Cambridge University Press. This book was released on 2004-03-25 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Elements for Computer Graphics

Author : David F. Rogers
Publisher : McGraw-Hill Science, Engineering & Mathematics
ISBN 13 :
Total Pages : 648 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Elements for Computer Graphics by : David F. Rogers

Download or read book Mathematical Elements for Computer Graphics written by David F. Rogers and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1990 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Symmetry in Computer Vision and Computer Graphics

Author : Yanxi Liu
Publisher : Now Publishers Inc
ISBN 13 : 1601983646
Total Pages : 209 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Computational Symmetry in Computer Vision and Computer Graphics by : Yanxi Liu

Download or read book Computational Symmetry in Computer Vision and Computer Graphics written by Yanxi Liu and published by Now Publishers Inc. This book was released on 2010 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the arts and sciences, as well as in our daily lives, symmetry has made a profound and lasting impact. Likewise, a computational treatment of symmetry and group theory (the ultimate mathematical formalization of symmetry) has the potential to play an important role in computational sciences. Though the term Computational Symmetry was formally defined a decade ago by the first author, referring to algorithmic treatment of symmetries, seeking symmetry from digital data has been attempted for over four decades. Computational symmetry on real world data turns out to be challenging enough that, after decades of effort, a fully automated symmetry-savvy system remains elusive for real world applications. The recent resurging interests in computational symmetry for computer vision and computer graphics applications have shown promising results. Recognizing the fundamental relevance and potential power that computational symmetry affords, we offer this survey to the computer vision and computer graphics communities. This survey provides a succinct summary of the relevant mathematical theory, a historic perspective of some important symmetry-related ideas, a partial yet timely report on the state of the arts symmetry detection algorithms along with its first quantitative benchmark, a diverse set of real world applications, suggestions for future directions and a comprehensive reference list.

What Are Tensors Exactly?

Author : Hongyu Guo
Publisher : World Scientific
ISBN 13 : 9811241031
Total Pages : 246 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis What Are Tensors Exactly? by : Hongyu Guo

Download or read book What Are Tensors Exactly? written by Hongyu Guo and published by World Scientific. This book was released on 2021-06-16 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors have numerous applications in physics and engineering. There is often a fuzzy haze surrounding the concept of tensor that puzzles many students. The old-fashioned definition is difficult to understand because it is not rigorous; the modern definitions are difficult to understand because they are rigorous but at a cost of being more abstract and less intuitive.The goal of this book is to elucidate the concepts in an intuitive way but without loss of rigor, to help students gain deeper understanding. As a result, they will not need to recite those definitions in a parrot-like manner any more. This volume answers common questions and corrects many misconceptions about tensors. A large number of illuminating illustrations helps the reader to understand the concepts more easily.This unique reference text will benefit researchers, professionals, academics, graduate students and undergraduate students.

Mathematics for Computer Graphics

Author : John Vince
Publisher : Springer Science & Business Media
ISBN 13 : 9781846280344
Total Pages : 268 pages
Book Rating : 4.2/5 (83 download)

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Book Synopsis Mathematics for Computer Graphics by : John Vince

Download or read book Mathematics for Computer Graphics written by John Vince and published by Springer Science & Business Media. This book was released on 2005-11-09 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computer Vision

Author : Simon J. D. Prince
Publisher : Cambridge University Press
ISBN 13 : 1107011795
Total Pages : 599 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Computer Vision by : Simon J. D. Prince

Download or read book Computer Vision written by Simon J. D. Prince and published by Cambridge University Press. This book was released on 2012-06-18 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern treatment focusing on learning and inference, with minimal prerequisites, real-world examples and implementable algorithms.

Computer Vision

Author : E. R. Davies
Publisher : Academic Press
ISBN 13 : 012809575X
Total Pages : 902 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Computer Vision by : E. R. Davies

Download or read book Computer Vision written by E. R. Davies and published by Academic Press. This book was released on 2017-11-15 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Vision: Principles, Algorithms, Applications, Learning (previously entitled Computer and Machine Vision) clearly and systematically presents the basic methodology of computer vision, covering the essential elements of the theory while emphasizing algorithmic and practical design constraints. This fully revised fifth edition has brought in more of the concepts and applications of computer vision, making it a very comprehensive and up-to-date text suitable for undergraduate and graduate students, researchers and R&D engineers working in this vibrant subject. See an interview with the author explaining his approach to teaching and learning computer vision - http://scitechconnect.elsevier.com/computer-vision/ - Three new chapters on Machine Learning emphasise the way the subject has been developing; Two chapters cover Basic Classification Concepts and Probabilistic Models; and the The third covers the principles of Deep Learning Networks and shows their impact on computer vision, reflected in a new chapter Face Detection and Recognition. - A new chapter on Object Segmentation and Shape Models reflects the methodology of machine learning and gives practical demonstrations of its application. - In-depth discussions have been included on geometric transformations, the EM algorithm, boosting, semantic segmentation, face frontalisation, RNNs and other key topics. - Examples and applications—including the location of biscuits, foreign bodies, faces, eyes, road lanes, surveillance, vehicles and pedestrians—give the 'ins and outs' of developing real-world vision systems, showing the realities of practical implementation. - Necessary mathematics and essential theory are made approachable by careful explanations and well-illustrated examples. - The 'recent developments' sections included in each chapter aim to bring students and practitioners up to date with this fast-moving subject. - Tailored programming examples—code, methods, illustrations, tasks, hints and solutions (mainly involving MATLAB and C++)

Handbook of Computer Vision and Applications: Systems and applications

Author : Bernd Jähne
Publisher :
ISBN 13 :
Total Pages : 968 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Handbook of Computer Vision and Applications: Systems and applications by : Bernd Jähne

Download or read book Handbook of Computer Vision and Applications: Systems and applications written by Bernd Jähne and published by . This book was released on 1999 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM files contain complete text of all three print vols., as well as hyperlinks to figures, tables, etc. and between the index and the text. Also included are hyperlinks to movies, interactive 3-D models, demonstration software and other materials not contained in the print version.

Foundation Mathematics for Computer Science

Author : John Vince
Publisher : Springer
ISBN 13 : 3319214373
Total Pages : 341 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Foundation Mathematics for Computer Science by : John Vince

Download or read book Foundation Mathematics for Computer Science written by John Vince and published by Springer. This book was released on 2015-07-27 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.