Description : "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.
Description : 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.
Description : 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 in the series (Essential Computer Animation fast and Essential Virtual Reality fast) 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.
Description : 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.
Description : 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.
Description : 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.
Description : 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.
Description : This textbook presents the basic principles for the use and design of computer graphics systems, as well as illustrates algorithm implementations and graphics applications. The book begins with an introduction to the subject and goes on to discuss various graphic techniques with the help of several examples and neatly drawn figures. It elaborates on methods for modelling and performing geometric transformations and methods for obtaining views in both two and three dimensions. With a programming-oriented approach, the book also describes all the processes used in computer graphics along with easy-to-read algorithms, which will enable students to develop their own software skills. KEY FEATURES : Provides necessary mathematics and fundamentals of C programming used for computer graphics. Demonstrates the implementation of graphics algorithms using programming examples developed in C. Gives a large number of worked-out examples to help students understand finer details of theory. Presents chapter-end-exercises including multiple choice questions, fill in the blanks, and true/false type questions with answers to quiz students on key learning points. This book is primarily designed for the students of computer science and engineering, information technology, as well as students of MSc (computer science), BCA and MCA. It will be also useful to undergraduate students of mechanical, production, automobile, electronics and electrical and other engineering disciplines.
Description : Students studying computer animation and computer games 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. 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 illustrations. Calculus for Computer Graphics 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 games and animation.