Mathematical Basics Of Motion And Deformation In Computer Graphics
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Mathematical Basics Of Motion And Deformation In Computer Graphics Second Edition
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Author : Ken Anjyo
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Mathematical Basics Of Motion And Deformation In Computer Graphics Second Edition written by Ken Anjyo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.
This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation.
Mathematical Basics Of Motion And Deformation In Computer Graphics
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Author : Ken Anjyo
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2017-04-13
Mathematical Basics Of Motion And Deformation In Computer Graphics written by Ken Anjyo and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-13 with Computers categories.
This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation.
Mathematical Basics Of Motion And Deformation In Computer Graphics
DOWNLOAD
FREE 30 Days
Author : Ken Anjyo
language : en
Publisher: Morgan & Claypool
Release Date : 2017-04-13
Mathematical Basics Of Motion And Deformation In Computer Graphics written by Ken Anjyo and has been published by Morgan & Claypool this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-13 with Mathematics categories.
This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation.
3d Computer Graphics
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Author : Samuel R. Buss
language : en
Publisher: Cambridge University Press
Release Date : 2003-05-19
3d Computer Graphics written by Samuel R. Buss and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-19 with Computers categories.
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.
Mathematical Progress In Expressive Image Synthesis Iii
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Author : Yoshinori Dobashi
language : en
Publisher: Springer
Release Date : 2016-05-21
Mathematical Progress In Expressive Image Synthesis Iii written by Yoshinori Dobashi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-21 with Technology & Engineering categories.
“Progress in Expressive Image Synthesis” (MEIS2015), was held in Fukuoka, Japan, September 25–27, 2015. The aim of the symposium was to provide a unique venue where various issues in computer graphics (CG) application fields could be discussed by mathematicians, CG researchers, and practitioners. Through the previous symposiums MEIS2013 and MEIS2014, mathematicians as well as CG researchers have recognized that CG is a specific and practical activity derived from mathematical theories. Issues found in CG broaden the field of mathematics and vice versa, and CG visualizes mathematical theories in an aesthetic manner. In this volume, the editors aim to provoke interdisciplinary research projects through the peer-reviewed papers and poster presentations at the this year’s symposium. This book captures interactions among mathematicians, CG researchers, and practitioners sharing important, state-of-the-art issues in graphics and visual perception. The book is suitable for all CG researchers seeking open problem areas and especially for those entering the field who have not yet selected a research direction.
Mathematical And Computer Programming Techniques For Computer Graphics
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Author : Peter Comninos
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-06
Mathematical And Computer Programming Techniques For Computer Graphics written by Peter Comninos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-06 with Computers categories.
Provides a comprehensive and detailed coverage of the fundamentals of programming techniques for computer graphics Uses lots of code examples, encouraging the reader to explore and experiment with data and computer programs (in the C programming language)
Introduction To The Mathematics Of Computer Graphics
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Author : Nathan Carter
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-12-31
Introduction To The Mathematics Of Computer Graphics written by Nathan Carter and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-31 with Mathematics categories.
This text, by an award-winning [Author];, was designed to accompany his first-year seminar in the mathematics of computer graphics. Readers learn the mathematics behind the computational aspects of space, shape, transformation, color, rendering, animation, and modeling. The software required is freely available on the Internet for Mac, Windows, and Linux. The text answers questions such as these: How do artists build up realistic shapes from geometric primitives? What computations is my computer doing when it generates a realistic image of my 3D scene? What mathematical tools can I use to animate an object through space? Why do movies always look more realistic than video games? Containing the mathematics and computing needed for making their own 3D computer-generated images and animations, the text, and the course it supports, culminates in a project in which students create a short animated movie using free software. Algebra and trigonometry are prerequisites; calculus is not, though it helps. Programming is not required. Includes optional advanced exercises for students with strong backgrounds in math or computer science. Instructors interested in exposing their liberal arts students to the beautiful mathematics behind computer graphics will find a rich resource in this text.
Cloth Simulation For Computer Graphics
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Author : Tuur Stuyck
language : en
Publisher: Springer Nature
Release Date : 2022-06-01
Cloth Simulation For Computer Graphics written by Tuur Stuyck and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.
Physics-based animation is commonplace in animated feature films and even special effects for live-action movies. Think about a recent movie and there will be some sort of special effects such as explosions or virtual worlds. Cloth simulation is no different and is ubiquitous because most virtual characters (hopefully!) wear some sort of clothing. The focus of this book is physics-based cloth simulation. We start by providing background information and discuss a range of applications. This book provides explanations of multiple cloth simulation techniques. More specifically, we start with the most simple explicitly integrated mass-spring model and gradually work our way up to more complex and commonly used implicitly integrated continuum techniques in state-of-the-art implementations. We give an intuitive explanation of the techniques and give additional information on how to efficiently implement them on a computer. This book discusses explicit and implicit integration schemes for cloth simulation modeled with mass-spring systems. In addition to this simple model, we explain the more advanced continuum-inspired cloth model introduced in the seminal work of Baraff and Witkin [1998]. This method is commonly used in industry. We also explain recent work by Liu et al. [2013] that provides a technique to obtain fast simulations. In addition to these simulation approaches, we discuss how cloth simulations can be art directed for stylized animations based on the work of Wojan et al. [2016]. Controllability is an essential component of a feature animation film production pipeline. We conclude by pointing the reader to more advanced techniques.
Fundamentals Of Computer Graphics
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Author : Peter Shirley
language : en
Publisher: CRC Press
Release Date : 2009-07-21
Fundamentals Of Computer Graphics written by Peter Shirley and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-21 with Computers categories.
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
Computer Animation
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Author : Rick Parent
language : en
Publisher: Elsevier
Release Date : 2007-11-01
Computer Animation written by Rick Parent and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-01 with Computers categories.
Driven by the demands of research and the entertainment industry, the techniques of animation are pushed to render increasingly complex objects with ever-greater life-like appearance and motion. This rapid progression of knowledge and technique impacts professional developers, as well as students. Developers must maintain their understanding of conceptual foundations, while their animation tools become ever more complex and specialized. The second edition of Rick Parent's Computer Animation is an excellent resource for the designers who must meet this challenge. The first edition established its reputation as the best technically oriented animation text. This new edition focuses on the many recent developments in animation technology, including fluid animation, human figure animation, and soft body animation. The new edition revises and expands coverage of topics such as quaternions, natural phenomenon, facial animation, and inverse kinematics. The book includes up-to-date discussions of Maya scripting and the Maya C++ API, programming on real-time 3D graphics hardware, collision detection, motion capture, and motion capture data processing. New up-to-the-moment coverage of hot topics like real-time 3D graphics, collision detection, fluid and soft-body animation and more! Companion site with animation clips drawn from research & entertainment and code samples Describes the mathematical and algorithmic foundations of animation that provide the animator with a deep understanding and control of technique