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Mathematical Elements for Computer Graphics

Mathematical Elements for Computer Graphics Author David F. Rogers
ISBN-10 0070535302
Release 1990
Pages 611
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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.



Mathematical elements for computer graphics

Mathematical elements for computer graphics Author David F. Rogers
ISBN-10 UOM:39015000494925
Release 1976
Pages 239
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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.



Mathematical Elements for Computer Graphics

Mathematical Elements for Computer Graphics Author David F. Rogers
ISBN-10 0071002898
Release 1990
Pages 611
Download Link Click Here

Mathematical Elements for Computer Graphics has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Elements for Computer Graphics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Elements for Computer Graphics book for free.



Mathematical Elements for Computer Graphics

Mathematical Elements for Computer Graphics Author
ISBN-10 0030507936
Release 1990
Pages 611
Download Link Click Here

Mathematical Elements for Computer Graphics has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Elements for Computer Graphics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Elements for Computer Graphics book for free.



Advances in Computer Graphics I

Advances in Computer Graphics I Author Günter Enderle
ISBN-10 9783642465147
Release 2013-06-29
Pages 512
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This book is the sixth issue in the EurographicSeminars Series. This series has been set up by Eurographics, the European Association for Computer Graphics, in order to disseminate surveys and research results out of the field of Computer Graphics. Computer Graphics constitute a powerful and versatile tool for various application areas. The rapidly increasing use of Computer Graphics techniques and systems in many areas is caused by the availability of more powerful hardware at lower prices,' by the concise specification of Computer Graphics Interfaces in commonly·.agreed standards, and by the inven tion of new and often astonishing methods and algorithms for com position andpreserit~ti6n of pictJres and for graphical interaction. While s,o~e issues of this se.ries contain latest research results, e.g. the issues in window management systems or user interface manage ment systems, this book has the character of a state-of-the-art survey on important areas .of Computer Graphics. Starting from current practice and agreed consens, it will lead to the latest achievements in this field. The contributions in this issue are largely based on tutorials and seminars held at the Eurographics conferences 1984 in Copen hagen and 1985 in Nice.



Mathematics for Computer Graphics

Mathematics for Computer Graphics Author John A. Vince
ISBN-10 1849960232
Release 2010-01-26
Pages 293
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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.



An Introduction to NURBS

An Introduction to NURBS Author David F. Rogers
ISBN-10 1558606696
Release 2001
Pages 324
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NURBS (Non-uniform Rational B-Splines) are the computer graphics industry standard for curve and surface description. They are now incorporated into all standard computer-aided design and drafting programs (for instance, Autocad). They are also extensively used in all aspects of computer graphics including much of the modeling used for special effects in film and animation, consumer products, robot control, and automobile and aircraft design. So, the topic is particularly important at this time because NURBS are really at the peak of interest as applied to computer graphics and CAD of all kind.



Computer Graphics

Computer Graphics Author Patricia A. Egerton
ISBN-10 UOM:39015040169693
Release 1998
Pages 329
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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.



Mathematical Optimization in Computer Graphics and Vision

Mathematical Optimization in Computer Graphics and Vision Author Luiz Velho
ISBN-10 008087858X
Release 2011-08-09
Pages 304
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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



Mathematics for Computer Graphics Applications

Mathematics for Computer Graphics Applications Author Michael E. Mortenson
ISBN-10 083113111X
Release 1999-01-01
Pages 354
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This completely revised Second Edition of "Computer Graphics" includes valuable information on major organizational changes within the last few years. This edition brings to the fore the basic mathematical tools of computer graphics, including vectors, matrices, and transformations. Additionally, it provides a strong, comprehensive base in exploring math, computer science, physics, engineering, and in special subjects such as algebraic and computational geometry, geometric modeling, and CAD/CAM. A highly diversified book that can be utilized as a primary textbook, supplemental teaching resource, individual tutorial, or key reference text. Includes new chapters on symmetry, limit and continuity, constructive solid geometry, and the Bezier curve. Provides many new figures and exercises. Contains an annotated suggested reading list with exercises and answers in each chapter. Appeals to both academics and professionals. Offers a new solutions manual for instructors.



Mathematical Structures for Computer Graphics

Mathematical Structures for Computer Graphics Author Steven J. Janke
ISBN-10 9781118712191
Release 2014-11-03
Pages 408
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"This book is for readers who wish to understand the mathematical tools that are necessary to produce three-dimensional models and the resulting screen images. Written by an academic with over 20 years of teaching experience, the intent of the book is to show relevant and focused mathematical derivations that help students understand computer graphics. Intuitive, rather than just theorem/proof discussions set the tone for the presentation. Some algebra, high-school geometry, and trigonometry are presumed for adequate comprehension. Notions of why results are important give the reader a sense of ownership and application. Chapters are written in a two-tiered style so as to allow for flexibility in the level of mathematics desired. Two- and three-dimensional vector geometry is covered using transforms, curves, and surfaces. More focused graphics topics like perspective with the accompanying projective geometry, polyhedral as building blocks for objects, and ray retracing help pull the vector technique together. An assortment of other topics helps round-out the discussion. These include noise, randomness, and L-systems. Plentiful exercises are showcased throughout. An author-maintained web site includes further computer programming notes and solutions to selected exercises"--



Applied Geometry for Computer Graphics and CAD

Applied Geometry for Computer Graphics and CAD Author Duncan Marsh
ISBN-10 9781846281099
Release 2006-03-30
Pages 350
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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.



3D Computer Graphics

3D Computer Graphics Author Samuel R. Buss
ISBN-10 9781139440387
Release 2003-05-19
Pages
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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

Modern Mathematics and Applications in Computer Graphics and Vision Author Hongyu Guo
ISBN-10 9789814449359
Release 2014-04-01
Pages 524
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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.



Mathematical Elements for Computer Graphics

Mathematical Elements for Computer Graphics Author S. P. Mudur
ISBN-10 OCLC:803363326
Release 1985
Pages 80
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Mathematical Elements for Computer Graphics has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Elements for Computer Graphics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Elements for Computer Graphics book for free.



Mathematics for 3D Game Programming and Computer Graphics Third Edition

Mathematics for 3D Game Programming and Computer Graphics  Third Edition Author Eric Lengyel
ISBN-10 9781435458871
Release 2012
Pages 576
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This updated third edition addresses the mathematical skills that a programmer needs to develop a 3D game engine and computer graphics for professional-level games. MATHEMATICS FOR 3D GAME PROGRAMMING & COMPUTER GRAPHICS, THIRD EDITION is suitable for adv



Computer Graphics Techniques

Computer Graphics Techniques Author David F. Rogers
ISBN-10 0387972374
Release 2001-10-31
Pages 542
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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.