Mathematics For Computer Graphics

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Mathematics for Computer Graphics

Author : John Vince
Publisher : Springer Science & Business Media
ISBN 13 : 1846282837
Total Pages : 251 pages
Book Rating : 4.8/5 (462 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 2005-12-19 with total page 251 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.

3D Computer Graphics

Author : Samuel R. Buss
Publisher : Cambridge University Press
ISBN 13 : 1139440381
Total Pages : 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 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.

Mathematical Tools in Computer Graphics with C# Implementations

Author : Alexandre Hardy
Publisher : World Scientific
ISBN 13 : 9812791027
Total Pages : 494 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Mathematical Tools in Computer Graphics with C# Implementations by : Alexandre Hardy

Download or read book Mathematical Tools in Computer Graphics with C# Implementations written by Alexandre Hardy and published by World Scientific. This book was released on 2008 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to the Mathematics of Computer Graphics

Author : Nathan Carter
Publisher : American Mathematical Soc.
ISBN 13 : 1614441227
Total Pages : 462 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis Introduction to the Mathematics of Computer Graphics by : Nathan Carter

Download or read book Introduction to the Mathematics of Computer Graphics written by Nathan Carter and published by American Mathematical Soc.. This book was released on 2016-12-31 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text, by an award-winning [Author];, was designed to accompany his first-year seminar in the mathematics of computer graphics. Readers learn the mathematics behind the computational aspects of space, shape, transformation, color, rendering, animation, and modeling. The software required is freely available on the Internet for Mac, Windows, and Linux. The text answers questions such as these: How do artists build up realistic shapes from geometric primitives? What computations is my computer doing when it generates a realistic image of my 3D scene? What mathematical tools can I use to animate an object through space? Why do movies always look more realistic than video games? Containing the mathematics and computing needed for making their own 3D computer-generated images and animations, the text, and the course it supports, culminates in a project in which students create a short animated movie using free software. Algebra and trigonometry are prerequisites; calculus is not, though it helps. Programming is not required. Includes optional advanced exercises for students with strong backgrounds in math or computer science. Instructors interested in exposing their liberal arts students to the beautiful mathematics behind computer graphics will find a rich resource in this text.

Computer Graphics through Key Mathematics

Author : Huw Jones
Publisher : Springer Science & Business Media
ISBN 13 : 1447102975
Total Pages : 358 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Computer Graphics through Key Mathematics by : Huw Jones

Download or read book Computer Graphics through Key Mathematics written by Huw Jones and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematical concepts that underpin computer graphics. It is written in an approachable way, without burdening readers with the skills of ow to do'things. The author discusses those aspects of mathematics that relate to the computer synthesis of images, and so gives users a better understanding of the limitations of computer graphics systems. Users of computer graphics who have no formal training and wish to understand the essential foundations of computer graphics systems will find this book very useful, as will mathematicians who want to understand how their subject is used in computer image synthesis. '

Mathematics for Computer Graphics and Game Programming

Author : D. P. Kothari
Publisher :
ISBN 13 : 9781683923565
Total Pages : 0 pages
Book Rating : 4.9/5 (235 download)

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Book Synopsis Mathematics for Computer Graphics and Game Programming by : D. P. Kothari

Download or read book Mathematics for Computer Graphics and Game Programming written by D. P. Kothari and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original title: Computer graphics in mathematical approaches

3D Math Primer for Graphics and Game Development, 2nd Edition

Author : Fletcher Dunn
Publisher : CRC Press
ISBN 13 : 1568817231
Total Pages : 848 pages
Book Rating : 4.5/5 (688 download)

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Book Synopsis 3D Math Primer for Graphics and Game Development, 2nd Edition by : Fletcher Dunn

Download or read book 3D Math Primer for Graphics and Game Development, 2nd Edition written by Fletcher Dunn and published by CRC Press. This book was released on 2011-11-02 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.

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.

Applied Geometry for Computer Graphics and CAD

Author : Duncan Marsh
Publisher : Springer
ISBN 13 : 1846281091
Total Pages : 350 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Applied Geometry for Computer Graphics and CAD by : Duncan Marsh

Download or read book Applied Geometry for Computer Graphics and CAD written by Duncan Marsh and published by Springer. This book was released on 2006-03-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). Over 300 exercises are included, some new to this edition, and many of which encourage the reader to implement the techniques and algorithms discussed through the use of a computer package with graphing and computer algebra capabilities. A dedicated website also offers further resources and useful links.

Calculus for Computer Graphics

Author : John Vince
Publisher : Springer
ISBN 13 : 3030113760
Total Pages : 303 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Calculus for Computer Graphics by : John Vince

Download or read book Calculus for Computer Graphics written by John Vince and published by Springer. This book was released on 2019-03-12 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students studying different branches of computer graphics have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. In this 2nd edition, the author extends the scope of the original book to include applications of calculus in the areas of arc-length parameterisation of curves, geometric continuity, tangent and normal vectors, and curvature. The author draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function’s derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples, and over a hundred and seventy colour illustrations. This book complements the author’s other books on mathematics for computer graphics, and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer graphics, games and animation.

Linear Geometry with Computer Graphics

Author : John Loustau
Publisher : CRC Press
ISBN 13 : 9780824788988
Total Pages : 466 pages
Book Rating : 4.7/5 (889 download)

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Book Synopsis Linear Geometry with Computer Graphics by : John Loustau

Download or read book Linear Geometry with Computer Graphics written by John Loustau and published by CRC Press. This book was released on 1992-12-16 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stressing the interplay between theory and its practice, this text presents the construction of linear models that satisfy geometric postulate systems and develops geometric topics in computer graphics. It includes a computer graphics utility library of specialized subroutines on a 3.5 disk, designed for use with Turbo PASCAL 4.0 (or later version) - an effective means of computer-aided instruction for writing graphics problems.;Providing instructors with maximum flexibility that allows for the mathematics or computer graphics sections to be taught independently, this book: reviews linear algebra and notation, focusing on ideas of geometric significance that are often omitted in general purpose linear algebra courses; develops symmetric bilinear forms through classical results, including the inertia theorem, Witt's cancellation theorem and the unitary diagonalization of symmetric matrices; examines the Klein Erlanger programm, constructing models of geometries, and studying associated transformation groups; clarifies how to construct geometries from groups, encompassing topological notions; and introduces topics in computer graphics, including geometric modeling, surface rendering and transformation groups.

Mathematical Optimization in Computer Graphics and Vision

Author : Luiz Velho
Publisher : Morgan Kaufmann
ISBN 13 : 9780080878584
Total Pages : 304 pages
Book Rating : 4.8/5 (785 download)

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Book Synopsis Mathematical Optimization in Computer Graphics and Vision by : Luiz Velho

Download or read book Mathematical Optimization in Computer Graphics and Vision written by Luiz Velho and published by Morgan Kaufmann. This book was released on 2011-08-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical optimization is used in nearly all computer graphics applications, from computer vision to animation. This book teaches readers the core set of techniques that every computer graphics professional should understand in order to envision and expand the boundaries of what is possible in their work. Study of this authoritative reference will help readers develop a very powerful tool- the ability to create and decipher mathematical models that can better realize solutions to even the toughest problems confronting computer graphics community today. *Distills down a vast and complex world of information on optimization into one short, self-contained volume especially for computer graphics *Helps CG professionals identify the best technique for solving particular problems quickly, by categorizing the most effective algorithms by application *Keeps readers current by supplementing the focus on key, classic methods with special end-of-chapter sections on cutting-edge developments

Computer Graphics

Author : Patricia A. Egerton
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computer Graphics by : Patricia A. Egerton

Download or read book Computer Graphics written by Patricia A. Egerton and published by Prentice Hall. This book was released on 1998 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Graphics - First Mathematical Steps will help students to master basic Computer Graphics and the mathematical concepts which underlie this subject. They will be led to develop their own skills, and appreciate Computer Graphics techniques in both two and three dimensions. The presentation of the text is methodical, systematic and gently paced - everything translates into numbers and simple ideas. Sometimes students experience difficulty in understanding some of the mathematics in standard Computer Graphics books; this book can serve as a good introduction to more advanced texts. It starts from first principles and is sympathetically written for those with a limited mathematical background. Computer Graphics - First Mathematical Steps is suitable for supporting undergraduate programmes in Computers and also the newer areas of Computer Graphics and Visualization. It is appropriate for post-graduate conversion courses which develop expertise in Computer Graphics and CAD. It can also be used for enrichment topics for high-flying pre-college students, and for refresher/enhancement courses for computer graphics technicians.

Mathematics for 3D Game Programming and Computer Graphics

Author : Eric Lengyel
Publisher :
ISBN 13 : 9780357671092
Total Pages : pages
Book Rating : 4.6/5 (71 download)

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Book Synopsis Mathematics for 3D Game Programming and Computer Graphics by : Eric Lengyel

Download or read book Mathematics for 3D Game Programming and Computer Graphics written by Eric Lengyel and published by . This book was released on 2020-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Sooner or later, all game programmers run into coding issues that require an understanding of mathematics or physics concepts such as collision detection, 3D vectors, transformations, game theory, or basic calculus. Unfortunately, most programmers frequently have a limited understanding of these essential mathematics and physics concepts. MATHEMATICS AND PHYSICS FOR PROGRAMMERS, THIRD EDITION provides a simple but thorough grounding in the mathematics and physics topics that programmers require to write algorithms and programs using a non-language-specific approach. Applications and examples from game programming are included throughout, and exercises follow each chapter for additional practice. The book's companion website provides sample code illustrating the mathematical and physics topics discussed in the book.

Mathematics for Computer Graphics Applications

Author : Michael E. Mortenson
Publisher : Industrial Press Inc.
ISBN 13 : 9780831131111
Total Pages : 372 pages
Book Rating : 4.1/5 (311 download)

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Book Synopsis Mathematics for Computer Graphics Applications by : Michael E. Mortenson

Download or read book Mathematics for Computer Graphics Applications written by Michael E. Mortenson and published by Industrial Press Inc.. This book was released on 1999 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematics for Computer Graphics Applications is written for several audiences: for college students majoring in computer science, engineering, or applied mathematics and science, whose special interests are in computer graphics, CAD/CAM, geometric modeling, visualization, or related subjects; for industry and government on-the-job training of employees whose skills can be profitably expanded into these areas; and for the professional working in these fields in need of a comprehensive reference and skills refresher."--BOOK JACKET.

Mathematical Insights into Advanced Computer Graphics Techniques

Author : Yoshinori Dobashi
Publisher : Springer
ISBN 13 : 9811328501
Total Pages : 163 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Mathematical Insights into Advanced Computer Graphics Techniques by : Yoshinori Dobashi

Download or read book Mathematical Insights into Advanced Computer Graphics Techniques written by Yoshinori Dobashi and published by Springer. This book was released on 2018-11-27 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents cutting-edge developments in the advanced mathematical theories utilized in computer graphics research – fluid simulation, realistic image synthesis, and texture, visualization and digital fabrication. A spin-off book from the International Symposium on Mathematical Progress in Expressive Image Synthesis in 2016 and 2017 (MEIS2016/2017) held in Fukuoka, Japan, it includes lecture notes and an expert introduction to the latest research presented at the symposium. The book offers an overview of the emerging interdisciplinary themes between computer graphics and driven mathematic theories, such as discrete differential geometry. Further, it highlights open problems in those themes, making it a valuable resource not only for researchers, but also for graduate students interested in computer graphics and mathematics.

Mathematical and Computer Programming Techniques for Computer Graphics

Author : Peter Comninos
Publisher : Springer Science & Business Media
ISBN 13 : 1846282926
Total Pages : 556 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Mathematical and Computer Programming Techniques for Computer Graphics by : Peter Comninos

Download or read book Mathematical and Computer Programming Techniques for Computer Graphics written by Peter Comninos and published by Springer Science & Business Media. This book was released on 2010-04-06 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a comprehensive and detailed coverage of the fundamentals of programming techniques for computer graphics Uses lots of code examples, encouraging the reader to explore and experiment with data and computer programs (in the C programming language)