Download or read book Matrix Transforms for Computer Games and Animation written by John Vince and published by Springer Science & Business Media. This book was released on 2012-06-26 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix transforms are ubiquitous within the world of computer graphics, where they have become an invaluable tool in a programmer’s toolkit for solving everything from 2D image scaling to 3D rotation about an arbitrary axis. Virtually every software system and hardware graphics processor uses matrices to undertake operations such as scaling, translation, reflection and rotation. Nevertheless, for some newcomers to the world of computer games and animation, matrix notation can appear obscure and challenging. Matrices and determinants were originally used to solve groups of simultaneous linear equations, and were subsequently embraced by the computer graphics community to describe the geometric operations for manipulating two- and three-dimensional structures. Consequently, to place matrix notation within an historical context, the author provides readers with some useful background to their development, alongside determinants. Although it is assumed that the reader is familiar with everyday algebra and the solution of simultaneous linear equations, Matrix Transforms for Computer Games and Animation does not expect any prior knowledge of matrix notation. It includes chapters on matrix notation, determinants, matrices, 2D transforms, 3D transforms and quaternions, and includes many worked examples to illustrate their practical use.
Download or read book Handbook of Digital Image Synthesis written by Vincent Pegoraro and published by CRC Press. This book was released on 2016-12-12 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Digital Image Synthesis is the most up-to-date reference guide in the rapidly developing field of computer graphics. A wide range of topics, such as, applied mathematics, data structures, and optical perception and imaging help to provide a well-rounded view of the necessary formulas for computer rendering. In addition to this diverse approach, the presentation of the material is substantiated by numerous figures and computer-generated images. From basic principles to advanced theories, this book, provides the reader with a strong foundation of computer formulas and rendering through a step-by-step process. . Key Features: Provides unified coverage of the broad range of fundamental topics in rendering Gives in-depth treatment of the basic and advanced concepts in each topic Presents a step-by-step derivation of the theoretical results needed for implementation Illustrates the concepts with numerous figures and computer-generated images Illustrates the core algorithms using platform-independent pseudo-code
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.
Download or read book Rotation Transforms for Computer Graphics written by John Vince and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rotation transforms are used everywhere in computer graphics from rotating pictures in editing software, to providing an arbitrary view of a 3D virtual environment. Although the former is a trivial operation, the latter can be a challenging task. Rotation Transforms for Computer Graphics covers a wide range of mathematical techniques used for rotating points and frames of reference in the plane and 3D space. It includes many worked examples and over 100 illustrations that make it essential reading for students, academics, researchers and professional practitioners. The book includes introductory chapters on complex numbers, matrices, quaternions and geometric algebra, and further chapters on how these techniques are employed in 2D and 3D computer graphics. In particular, matrix and bivector transforms are developed and evaluated to rotate points in a fixed frame of reference, and vice versa.
Download or read book The Matrix Trilogy written by Stacy Gillis and published by Wallflower Press. This book was released on 2005 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of essays on the films as well as the websites, games and The Animatrix video and DVD. Among the topics discussed are the new cyberpunk, Baudrillarian simulacra and simulation, gender, race and costume, cyberculture and the body, virtual realities and special effects.
Download or read book 3D Math Primer for Graphics and Game Development 2nd Edition written by Fletcher Dunn and published by CRC Press. This book was released on 2011-11-02 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
Download or read book Foundation Mathematics for Computer Science written by John Vince and published by Springer Nature. This book was released on with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Algebra for Computer Graphics written by John Vince and published by Springer Science & Business Media. This book was released on 2008-04-21 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. The author tackles this complex subject with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated. Introductory chapters look at algebraic axioms, vector algebra and geometric conventions and the book closes with a chapter on how the algebra is applied to computer graphics.
Download or read book Advanced Methods in Computer Graphics Animation written by Mrs.B.Karthicsonia and published by SK Research Group of Companies. This book was released on 2024-01-18 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mrs.B.Karthicsonia, Guest Lecturer, Department of Computer Science, Government Arts College for Women, Sivagangai, Tamil Nadu, India. Mrs.G.Pramela, Assistant Professor, Department of Computer Science, A.V.P. College of Arts and Science, Tirupur, Tamil Nadu, India. Dr.P.Geetha, Assistant Professor(SG), Department of Computer Science and Engineering, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai, Tamil Nadu, India. Dr.T.Saju Raj, Assistant Professor (SG), Department of Computer Science and Engineering, Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology, Chennai, Tamil Nadu, India. Dr.R.Balamanigandan, Professor, Department of Spatial Informatics, Institute of CSE, SIMATS Engineering, Saveetha University, Chennai, Tamil Nadu, India.
Download or read book Understanding Motion Capture for Computer Animation and Video Games written by Alberto Menache and published by Morgan Kaufmann. This book was released on 2000 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motion capture is a technique for recording a performance and then translating it into mathematical terms. Animating motion is critical for the development of applications such as animation, virtual environments and video games. Character animation is the process by which natural movements are modelled and digitized so that digital character movements appear as natural as possible. There are three approaches to character animation: keyframe animation, motion capture, and simulation.
Download or read book Game Physics Cookbook written by Gabor Szauer and published by Packt Publishing Ltd. This book was released on 2017-03-24 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover over 100 easy-to-follow recipes to help you implement efficient game physics and collision detection in your games About This Book Get a comprehensive coverage of techniques to create high performance collision detection in games Learn the core mathematics concepts and physics involved in depicting collision detection for your games Get a hands-on experience of building a rigid body physics engine Who This Book Is For This book is for beginner to intermediate game developers. You don't need to have a formal education in games—you can be a hobbyist or indie developer who started making games with Unity 3D. What You Will Learn Implement fundamental maths so you can develop solid game physics Use matrices to encode linear transformations Know how to check geometric primitives for collisions Build a Physics engine that can create realistic rigid body behavior Understand advanced techniques, including the Separating Axis Theorem Create physically accurate collision reactions Explore spatial partitioning as an acceleration structure for collisions Resolve rigid body collisions between primitive shapes In Detail Physics is really important for game programmers who want to add realism and functionality to their games. Collision detection in particular is a problem that affects all game developers, regardless of the platform, engine, or toolkit they use. This book will teach you the concepts and formulas behind collision detection. You will also be taught how to build a simple physics engine, where Rigid Body physics is the main focus, and learn about intersection algorithms for primitive shapes. You'll begin by building a strong foundation in mathematics that will be used throughout the book. We'll guide you through implementing 2D and 3D primitives and show you how to perform effective collision tests for them. We then pivot to one of the harder areas of game development—collision detection and resolution. Further on, you will learn what a Physics engine is, how to set up a game window, and how to implement rendering. We'll explore advanced physics topics such as constraint solving. You'll also find out how to implement a rudimentary physics engine, which you can use to build an Angry Birds type of game or a more advanced game. By the end of the book, you will have implemented all primitive and some advanced collision tests, and you will be able to read on geometry and linear Algebra formulas to take forward to your own games! Style and approach Gain the necessary skills needed to build a Physics engine for your games through practical recipes, in an easy-to-read manner. Every topic explained in the book has clear, easy to understand code accompanying it.
Download or read book Mathematical Methods in Engineering and Physics written by Gary N. Felder and published by John Wiley & Sons. This book was released on 2015-04-13 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended for the undergraduate course in math methods, with an audience of physics and engineering majors. As a required course in most departments, the text relies heavily on explained examples, real-world applications and student engagement. Supporting the use of active learning, a strong focus is placed upon physical motivation combined with a versatile coverage of topics that can be used as a reference after students complete the course. Each chapter begins with an overview that includes a list of prerequisite knowledge, a list of skills that will be covered in the chapter, and an outline of the sections. Next comes the motivating exercise, which steps the students through a real-world physical problem that requires the techniques taught in each chapter.
Download or read book Essential Mathematics for Games and Interactive Applications written by James M. Van Verth and published by CRC Press. This book was released on 2008-05-19 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential Mathematics for Games and Interactive Applications, 2nd edition presents the core mathematics necessary for sophisticated 3D graphics and interactive physical simulations. The book begins with linear algebra and matrix multiplication and expands on this foundation to cover such topics as color and lighting, interpolation, animation and basic game physics. Essential Mathematics focuses on the issues of 3D game development important to programmers and includes optimization guidance throughout. The new edition Windows code will now use Visual Studio.NET. There will also be DirectX support provided, along with OpenGL - due to its cross-platform nature. Programmers will find more concrete examples included in this edition, as well as additional information on tuning, optimization and robustness. The book has a companion CD-ROM with exercises and a test bank for the academic secondary market, and for main market: code examples built around a shared code base, including a math library covering all the topics presented in the book, a core vector/matrix math engine, and libraries to support basic 3D rendering and interaction.
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.
Download or read book Fundamentals of Computer Graphics written by Steve Marschner and published by CRC Press. This book was released on 2018-10-24 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on an impressive roster of experts in the field, Fundamentals of Computer Graphics, Fourth Edition offers an ideal resource for computer course curricula as well as a user-friendly personal or professional reference. Focusing on geometric intuition, the book gives the necessary information for understanding how images get onto the screen by using the complementary approaches of ray tracing and rasterization. It covers topics common to an introductory course, such as sampling theory, texture mapping, spatial data structure, and splines. It also includes a number of contributed chapters from authors known for their expertise and clear way of explaining concepts. Highlights of the Fourth Edition Include: Updated coverage of existing topics Major updates and improvements to several chapters, including texture mapping, graphics hardware, signal processing, and data structures A text now printed entirely in four-color to enhance illustrative figures of concepts The fourth edition of Fundamentals of Computer Graphics continues to provide an outstanding and comprehensive introduction to basic computer graphic technology and theory. It retains an informal and intuitive style while improving precision, consistency, and completeness of material, allowing aspiring and experienced graphics programmers to better understand and apply foundational principles to the development of efficient code in creating film, game, or web designs. Key Features Provides a thorough treatment of basic and advanced topics in current graphics algorithms Explains core principles intuitively, with numerous examples and pseudo-code Gives updated coverage of the graphics pipeline, signal processing, texture mapping, graphics hardware, reflection models, and curves and surfaces Uses color images to give more illustrative power to concepts
Download or read book Patently Mathematical written by Jeff Suzuki and published by Johns Hopkins University Press. This book was released on 2018-12-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reaffirmation that mathematics should be used more often to make general public policy."—MAA Reviews
Download or read book Calculus for Computer Graphics written by John Vince and published by Springer. This book was released on 2019-03-12 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students studying different branches of computer graphics 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. In this 2nd edition, the author extends the scope of the original book to include applications of calculus in the areas of arc-length parameterisation of curves, geometric continuity, tangent and normal vectors, and curvature. 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 and seventy colour illustrations. This book 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 graphics, games and animation.
