Mathematical Insights into Advanced Computer Graphics Techniques
Mathematical Insights into Advanced Computer Graphics Techniques

Author: Yoshinori Dobashi

Publisher: Springer

Published: 2018-11-27

Total Pages: 163

ISBN-13: 9811328501

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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.

Mathematics for Computer Graphics
Mathematics for Computer Graphics

Author: John A. Vince

Publisher: Springer Science & Business Media

Published: 2010-01-26

Total Pages: 300

ISBN-13: 1849960232

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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.

Mathematics for Computer Graphics
Mathematics for Computer Graphics

Author: John Vince

Publisher: Springer

Published: 2017-08-28

Total Pages: 512

ISBN-13: 1447173368

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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 in this completely revised and expanded fifth edition. The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, matrix algebra, transforms, interpolation, curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples. Mathematics for Computer Graphics covers all of the key areas of the subject, including: · Number sets · Algebra · Trigonometry · Coordinate systems · Determinants · Vectors · Quaternions · Matrix algebra · Geometric transforms · Interpolation · Curves and surfaces · Analytic geometry · Barycentric coordinates · Geometric algebra · Differential calculus · Integral calculus This fifth edition contains over 120 worked examples and over 320 colour illustrations, which are central to the author’s descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics, giving a fascinating insight into the design of computer graphics software and setting the scene for further reading of more advanced books and technical research papers.

COMPUTER GRAPHICS AND MULTIMEDIA INSIGHTS, MATHEMATICAL MODELS AND PROGRAMMING PARADIGMS
COMPUTER GRAPHICS AND MULTIMEDIA INSIGHTS, MATHEMATICAL MODELS AND PROGRAMMING PARADIGMS

Author: EVANGELINE, D.

Publisher: PHI Learning Pvt. Ltd.

Published: 2016-04-13

Total Pages: 513

ISBN-13: 8120352238

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Nowadays, Computer Graphics and Multimedia have become crucial areas of study in the field of Computer Science and Information Technology. The commercial and academic viability of the field can be understood from its usability and application in various areas, including entertainment, education, image processing, CAD/CAM, fine arts, and so on. Students not only need to have a firm grounding in these fields but also have to learn how to integrate these technologies to get the desired results. This book, written in an easy-to-grasp style, equips the readers with all the basic and advanced concepts of computer graphics and multimedia. Inclusion of sufficient programs relating to C, OpenGL, VRML, Python Turtle Graphics and GKS helps the readers in generating realistic images. The text not only incorporates standard algorithms but also keeps pace with the newly invented ones. It provides an insight into graphics programming using various software packages. In most of the chapters, a number of solved numerical problems are provided to help students learn the practical applications of the preceding concept. Primarily intended for the undergraduate and postgraduate students of Computer Science and Engineering, Information Technology, and Mechanical Engineering, the book is equally useful for the students opting BCA, MCA, B.Sc. (CS/IT), M.Sc. (CS/IT) and Multimedia courses.

Mathematics for Computer Graphics
Mathematics for Computer Graphics

Author: John Vince

Publisher: Springer Science & Business Media

Published: 2005-12-19

Total Pages: 251

ISBN-13: 1846282837

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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.

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

Author: Torsten Möller

Publisher: Springer Science & Business Media

Published: 2009-06-12

Total Pages: 348

ISBN-13: 3540499261

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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.

Mathematical Elements for Computer Graphics
Mathematical Elements for Computer Graphics

Author: David F. Rogers

Publisher: McGraw-Hill Science, Engineering & Mathematics

Published: 1990

Total Pages: 648

ISBN-13:

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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.

Insight Through Computer Graphics - Proceedings Of The Computer Graphics International 1994 (Cg194)
Insight Through Computer Graphics - Proceedings Of The Computer Graphics International 1994 (Cg194)

Author: Michael Gigante

Publisher: World Scientific

Published: 1997-01-03

Total Pages: 354

ISBN-13: 9814547328

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Computer graphics has been advancing to the level of creating completely new worlds inside computers. Through such computer graphics worlds, we human beings now have far improved insight into wide varieties of real worlds starting from fairly simple but exact worlds of curves and surfaces and reaching to complex human worlds. This volume presents a quite concrete and advanced methods, techniques, modeling and mathematical backgrounds which are indispensable in order to carry out end researches to increase insight through computer graphics.

Mathematical Visualization
Mathematical Visualization

Author: H.-C. Hege

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 398

ISBN-13: 3662035677

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Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization. Originally, it started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications. The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.

Computer Graphics
Computer Graphics

Author: Patricia A. Egerton

Publisher: Prentice Hall

Published: 1998

Total Pages: 352

ISBN-13:

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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.