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
ISBN 13 : 9781848004177
Total Pages : 248 pages
Book Rating : 4.0/5 (41 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. This book was released on 2009-10-12 with total page 248 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.

The Mathematical Structure of Raster Graphics

Author : Eugene L. Fiume
Publisher : Academic Press
ISBN 13 : 1483260828
Total Pages : 236 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 236 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.

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 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. '

Geometry for Computer Graphics

Author : John Vince
Publisher : Springer
ISBN 13 : 1846281164
Total Pages : 342 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Geometry for Computer Graphics by : John Vince

Download or read book Geometry for Computer Graphics written by John Vince and published by Springer. This book was released on 2006-01-16 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic. Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry.

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.

Modern Mathematics And Applications In Computer Graphics And Vision

Author : Hongyu Guo
Publisher : World Scientific Publishing Company
ISBN 13 : 9814449350
Total Pages : 524 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 524 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.

Computer Graphics Techniques

Author : David F. Rogers
Publisher : Springer Science & Business Media
ISBN 13 : 9780387972374
Total Pages : 562 pages
Book Rating : 4.9/5 (723 download)

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Book Synopsis Computer Graphics Techniques by : David F. Rogers

Download or read book Computer Graphics Techniques written by David F. Rogers and published by Springer Science & Business Media. This book was released on 2001-10-31 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the third paper in this chapter, Mike Pratt provides an historical intro duction to solid modeling. He presents the development of the three most freqently used techniques: cellular subdivision, constructive solid modeling and boundary representation. Although each of these techniques devel oped more or less independently, today the designer's needs dictate that a successful system allows access to all of these methods. For example, sculptured surfaces are generally represented using a boundary represen tation. However, the design of a complex vehicle generally dictates that a sculptured surface representation is most efficient for the 'skin' while constructive solid geometry representation is most efficent for the inter nal mechanism. Pratt also discusses the emerging concept of design by 'feature line'. Finally, he addresses the very important problem of data exchange between solid modeling systems and the progress that is being made towards developing an international standard. With the advent of reasonably low cost scientific workstations with rea sonable to outstanding graphics capabilities, scientists and engineers are increasingly turning to computer analysis for answers to fundamental ques tions and to computer graphics for present~tion of those answers. Although the current crop of workstations exhibit quite impressive computational ca pability, they are still not capable of solving many problems in a reasonable time frame, e. g. , executing computational fluid dynamics and finite element codes or generating complex ray traced or radiosity based images. In the sixth chapter Mike Muuss of the U. S.

Discrete Mathematical Structures with Applications to Computer Science

Author : Jean-Paul Tremblay
Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 594 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Discrete Mathematical Structures with Applications to Computer Science by : Jean-Paul Tremblay

Download or read book Discrete Mathematical Structures with Applications to Computer Science written by Jean-Paul Tremblay and published by McGraw-Hill Companies. This book was released on 1975 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Computer Graphics

Author : Peter Shirley
Publisher : CRC Press
ISBN 13 : 1439865523
Total Pages : 784 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Fundamentals of Computer Graphics by : Peter Shirley

Download or read book Fundamentals of Computer Graphics written by Peter Shirley and published by CRC Press. This book was released on 2009-07-21 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by Michael Ashikhmin, Michael Gleicher, Naty Hoffman, Garrett Johnson, Tamara Munzner, Erik Reinhard, Kelvin Sung, William B. Thompson, Peter Willemsen, Brian Wyvill. The third edition of this widely adopted text gives students a comprehensive, fundamental introduction to computer graphics. The authors present the mathematical fo

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.

Mathematics for Computer Graphics

Author : John A. Vince
Publisher : Springer Science & Business Media
ISBN 13 : 1849960232
Total Pages : 293 pages
Book Rating : 4.8/5 (499 download)

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Book Synopsis Mathematics for Computer Graphics by : John A. Vince

Download or read book Mathematics for Computer Graphics written by John A. Vince and published by Springer Science & Business Media. This book was released on 2010-01-26 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD, and other areas of computer graphics. Covering all the mathematical techniques required to resolve geometric problems and design computer programs for computer graphic applications, each chapter explores a specific mathematical topic prior to moving forward into the more advanced areas of matrix transforms, 3D curves and surface patches. Problem-solving techniques using vector analysis and geometric algebra are also discussed. All the key areas are covered including: Numbers, Algebra, Trigonometry, Coordinate geometry, Transforms, Vectors, Curves and surfaces, Barycentric coordinates, Analytic geometry. Plus – and unusually in a student textbook – a chapter on geometric algebra is included.

Foundation Mathematics for Computer Science

Author : John Vince
Publisher : Springer Nature
ISBN 13 : 3031174119
Total Pages : 519 pages
Book Rating : 4.0/5 (311 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 Nature. This book was released on 2023-01-24 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this third edition of Foundation Mathematics for Computer Science, John Vince has reviewed and edited the second edition, and added chapters on systems of counting, area and volume. These subjects complement the existing chapters on visual mathematics, numbers, algebra, logic, combinatorics, probability, modular arithmetic, trigonometry, coordinate systems, determinants, vectors, complex numbers, matrices, geometric matrix transforms, differential and integral calculus. During this journey, the author touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barrycentric coordinates, transfinite sets and prime numbers. John Vince describes a range of mathematical topics that provide a solid foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with calculating area and volume using calculus. Readers will find that the author’s visual approach should greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. This third edition includes new, 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 help consolidate the understanding of abstract mathematical concepts. Whether you intend to pursue a career in programming, scientific visualisation, artificial intelligence, 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.

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.

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.

Geometric Algebra Computing

Author : Eduardo Bayro-Corrochano
Publisher : Springer Science & Business Media
ISBN 13 : 1849961085
Total Pages : 527 pages
Book Rating : 4.8/5 (499 download)

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Book Synopsis Geometric Algebra Computing by : Eduardo Bayro-Corrochano

Download or read book Geometric Algebra Computing written by Eduardo Bayro-Corrochano and published by Springer Science & Business Media. This book was released on 2010-05-19 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Its accessible style is enhanced by examples, figures and experimental analysis.