Mathematical Structures For Computer Graphics

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Mathematical Structures for Computer Graphics

Author : Steven J. Janke
Publisher : John Wiley & Sons
ISBN 13 : 111871198X
Total Pages : 408 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Mathematical Structures for Computer Graphics by : Steven J. Janke

Download or read book Mathematical Structures for Computer Graphics written by Steven J. Janke and published by John Wiley & Sons. This book was released on 2014-09-18 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive exploration of the mathematics behind the modeling and rendering of computer graphics scenes Mathematical Structures for Computer Graphics presents an accessible and intuitive approach to the mathematical ideas and techniques necessary for two- and three-dimensional computer graphics. Focusing on the significant mathematical results, the book establishes key algorithms used to build complex graphics scenes. Written for readers with various levels of mathematical background, the book develops a solid foundation for graphics techniques and fills in relevant graphics details often overlooked in the literature. Rather than use a rigid theorem/proof approach, the book provides a flexible discussion that moves from vector geometry through transformations, curve modeling, visibility, and lighting models. Mathematical Structures for Computer Graphics also includes: Numerous examples of two- and three-dimensional techniques along with numerical calculations Plenty of mathematical and programming exercises in each chapter, which are designed particularly for graphics tasks Additional details at the end of each chapter covering historical notes, further calculations, and connected concepts for readers who wish to delve deeper Unique coverage of topics such as calculations with homogeneous coordinates, computational geometry for polygons, use of barycentric coordinates, various descriptions for curves, and L-system techniques for recursive images Mathematical Structures for Computer Graphics is an excellent textbook for undergraduate courses in computer science, mathematics, and engineering, as well as an ideal reference for practicing engineers, researchers, and professionals in computer graphics fields. The book is also useful for those readers who wish to understand algorithms for producing their own interesting computer images.

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 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. '

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.

The Mathematical Structure of Raster Graphics

Author : Eugene L. Fiume
Publisher : Academic Press
ISBN 13 : 1483260828
Total Pages : 239 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Mathematical Structure of Raster Graphics by : Eugene L. Fiume

Download or read book The Mathematical Structure of Raster Graphics written by Eugene L. Fiume and published by Academic Press. This book was released on 2014-05-10 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Structure of Raster Graphics presents a mathematical characterization of the structure of raster graphics, a popular and diverse form of computer graphics. The semantics and theory of the mathematical structure of raster graphics are discussed. Notations that help to clarify some of the concepts generally considered to be fundamental to computer graphics are included. Comprised of seven chapters, this book begins with a description of a general framework for specifying and manipulating scenes. Basic graphic entities, called primitive graphic objects, are defined using a simple notation over a Euclidean space. The reader is then introduced to a semantics of visibility; a mathematical semantics of rendering, developed using the very basic notion of measure; and a mathematical formalization of bit-mapped graphics. A framework for specifying illumination models is also described, along with the complexity of abstract ray tracing. This monograph will be a useful resource for undergraduate and graduate students, researchers, and practitioners in the fields of mathematics and computer graphics, and to those with some basic computer graphics background.

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.

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.

Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration

Author : Torsten Möller
Publisher : Springer Science & Business Media
ISBN 13 : 3540499261
Total Pages : 348 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration by : Torsten Möller

Download or read book Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration written by Torsten Möller and published by Springer Science & Business Media. This book was released on 2009-06-12 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of visualization is the accurate, interactive, and intuitive presentation of data. Complex numerical simulations, high-resolution imaging devices and incre- ingly common environment-embedded sensors are the primary generators of m- sive data sets. Being able to derive scienti?c insight from data increasingly depends on having mathematical and perceptual models to provide the necessary foundation for effective data analysis and comprehension. The peer-reviewed state-of-the-art research papers included in this book focus on continuous data models, such as is common in medical imaging or computational modeling. From the viewpoint of a visualization scientist, we typically collaborate with an application scientist or engineer who needs to visually explore or study an object which is given by a set of sample points, which originally may or may not have been connected by a mesh. At some point, one generally employs low-order piecewise polynomial approximationsof an object, using one or several dependent functions. In order to have an understanding of a higher-dimensional geometrical “object” or function, ef?cient algorithms supporting real-time analysis and manipulation (- tation, zooming) are needed. Often, the data represents 3D or even time-varying 3D phenomena (such as medical data), and the access to different layers (slices) and structures (the underlying topology) comprising such data is needed.

Computational Geometry and Computer Graphics in C++

Author : Michael Jay Laszlo
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Computational Geometry and Computer Graphics in C++ by : Michael Jay Laszlo

Download or read book Computational Geometry and Computer Graphics in C++ written by Michael Jay Laszlo and published by . This book was released on 1996 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction to methods in computational geometry and computer graphics. It emphasizes the efficient object-oriented implemenation of geometric methods with useable C++ code for all methods discussed.

Mathematical Structures for Computer Graphics

Author : Steven J. Janke
Publisher : John Wiley & Sons
ISBN 13 : 1118712196
Total Pages : 408 pages
Book Rating : 4.1/5 (187 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Structures for Computer Graphics by : Steven J. Janke

Download or read book Mathematical Structures for Computer Graphics written by Steven J. Janke and published by John Wiley & Sons. This book was released on 2014-11-03 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive exploration of the mathematics behind the modeling and rendering of computer graphics scenes Mathematical Structures for Computer Graphics presents an accessible and intuitive approach to the mathematical ideas and techniques necessary for two- and three-dimensional computer graphics. Focusing on the significant mathematical results, the book establishes key algorithms used to build complex graphics scenes. Written for readers with various levels of mathematical background, the book develops a solid foundation for graphics techniques and fills in relevant graphics details often overlooked in the literature. Rather than use a rigid theorem/proof approach, the book provides a flexible discussion that moves from vector geometry through transformations, curve modeling, visibility, and lighting models. Mathematical Structures for Computer Graphics also includes: Numerous examples of two- and three-dimensional techniques along with numerical calculations Plenty of mathematical and programming exercises in each chapter, which are designed particularly for graphics tasks Additional details at the end of each chapter covering historical notes, further calculations, and connected concepts for readers who wish to delve deeper Unique coverage of topics such as calculations with homogeneous coordinates, computational geometry for polygons, use of barycentric coordinates, various descriptions for curves, and L-system techniques for recursive images Mathematical Structures for Computer Graphics is an excellent textbook for undergraduate courses in computer science, mathematics, and engineering, as well as an ideal reference for practicing engineers, researchers, and professionals in computer graphics fields. The book is also useful for those readers who wish to understand algorithms for producing their own interesting computer images.

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.

Computer Graphics

Author : Alexey Boreskov
Publisher : CRC Press
ISBN 13 : 1482215578
Total Pages : 576 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Computer Graphics by : Alexey Boreskov

Download or read book Computer Graphics written by Alexey Boreskov and published by CRC Press. This book was released on 2013-10-25 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complete Coverage of the Current Practice of Computer GraphicsComputer Graphics: From Pixels to Programmable Graphics Hardware explores all major areas of modern computer graphics, starting from basic mathematics and algorithms and concluding with OpenGL and real-time graphics. It gives students a firm foundation in today's high-performance graphic

Discrete Mathematics for Computer Science

Author : Gary Haggard
Publisher : Cengage Learning
ISBN 13 : 9780534495015
Total Pages : 0 pages
Book Rating : 4.4/5 (95 download)

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Book Synopsis Discrete Mathematics for Computer Science by : Gary Haggard

Download or read book Discrete Mathematics for Computer Science written by Gary Haggard and published by Cengage Learning. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE with Student Solutions Manual CD-ROM! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express precise ideas in clear mathematical language. Through a wealth of exercises and examples, you will learn how mastering discrete mathematics will help you develop important reasoning skills that will continue to be useful throughout your career.

Introductory Tiling Theory for Computer Graphics

Author : Craig Kaplan
Publisher : Springer Nature
ISBN 13 : 3031795431
Total Pages : 103 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Introductory Tiling Theory for Computer Graphics by : Craig Kaplan

Download or read book Introductory Tiling Theory for Computer Graphics written by Craig Kaplan and published by Springer Nature. This book was released on 2022-06-01 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tiling theory is an elegant branch of mathematics that has applications in several areas of computer science. The most immediate application area is graphics, where tiling theory has been used in the contexts of texture generation, sampling theory, remeshing, and of course the generation of decorative patterns. The combination of a solid theoretical base (complete with tantalizing open problems), practical algorithmic techniques, and exciting applications make tiling theory a worthwhile area of study for practitioners and students in computer science. This synthesis lecture introduces the mathematical and algorithmic foundations of tiling theory to a computer graphics audience. The goal is primarily to introduce concepts and terminology, clear up common misconceptions, and state and apply important results. The book also describes some of the algorithms and data structures that allow several aspects of tiling theory to be used in practice. Table of Contents: Introduction / Tiling Basics / Symmetry / Tilings by Polygons / Isohedral Tilings / Nonperiodic and Aperiodic Tilings / Survey

3D Game Engine Design

Author : David Eberly
Publisher : CRC Press
ISBN 13 : 1482267306
Total Pages : 1008 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis 3D Game Engine Design by : David Eberly

Download or read book 3D Game Engine Design written by David Eberly and published by CRC Press. This book was released on 2006-11-03 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of 3D Game Engine Design was an international bestseller that sold over 17,000 copies and became an industry standard. In the six years since that book was published, graphics hardware has evolved enormously. Hardware can now be directly controlled through techniques such as shader programming, which requires an entirely new thought process of a programmer. In a way that no other book can do, this new edition shows step by step how to make a shader-based graphics engine and how to tame this new technology. Much new material has been added, including more than twice the coverage of the essential techniques of scene graph management, as well as new methods for managing memory usage in the new generation of game consoles and portable game players. There are expanded discussions of collision detection, collision avoidance, and physics—all challenging subjects for developers. The mathematics coverage is now focused towards the end of the book to separate it from the general discussion. As with the first edition, one of the most valuable features of this book is the inclusion of Wild Magic, a commercial quality game engine in source code that illustrates how to build a real-time rendering system from the lowest-level details all the way to a working game. Wild Magic Version 4 consists of over 300,000 lines of code that allows the results of programming experiments to be seen immediately. This new version of the engine is fully shader-based, runs on Windows XP, Mac OS X, and Linux, and is only available with the purchase of the book.

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;

Mathematics of Digital Images

Author : S. G. Hoggar
Publisher : Cambridge University Press
ISBN 13 : 9781139451352
Total Pages : 896 pages
Book Rating : 4.4/5 (513 download)

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Book Synopsis Mathematics of Digital Images by : S. G. Hoggar

Download or read book Mathematics of Digital Images written by S. G. Hoggar and published by Cambridge University Press. This book was released on 2006-09-14 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compression, restoration and recognition are three of the key components of digital imaging. The mathematics needed to understand and carry out all these components are explained here in a style that is at once rigorous and practical with many worked examples, exercises with solutions, pseudocode, and sample calculations on images. The introduction lists fast tracks to special topics such as Principal Component Analysis, and ways into and through the book, which abounds with illustrations. The first part describes plane geometry and pattern-generating symmetries, along with some on 3D rotation and reflection matrices. Subsequent chapters cover vectors, matrices and probability. These are applied to simulation, Bayesian methods, Shannon's information theory, compression, filtering and tomography. The book will be suited for advanced courses or for self-study. It will appeal to all those working in biomedical imaging and diagnosis, computer graphics, machine vision, remote sensing, image processing and information theory and its applications.