An Integrated Introduction To Computer Graphics And Geometric Modeling
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An Integrated Introduction To Computer Graphics And Geometric Modeling
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Author : Ronald Goldman
language : en
Publisher: CRC Press
Release Date : 2009-07-14
An Integrated Introduction To Computer Graphics And Geometric Modeling written by Ronald Goldman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-14 with Computers categories.
Taking a novel, more appealing approach than current texts, An Integrated Introduction to Computer Graphics and Geometric Modeling focuses on graphics, modeling, and mathematical methods, including ray tracing, polygon shading, radiosity, fractals, freeform curves and surfaces, vector methods, and transformation techniques. The author begins with f
Computer Graphics And Geometric Modeling
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Author : David Salomon
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computer Graphics And Geometric Modeling written by David Salomon 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 2012-12-06 with Computers categories.
Joseph-Louis Lagrange (1736-1813), one of the greatest mathematicians of the 18th century, made important contributions to the theory of numbers and to analytical and celestial mechanics. His most important work is Mecanique Analytique (1788), the textbook on which all subsequent work in this field is based. A contempo rary reader is surprised to find no diagrams or figures of any kind in this book on mechanics. This reflects one extreme approach to graphics, namely considering it unimportant or even detracting as a teaching tool and not using it. Today, of course, this approach is unthinkable. Graphics, especially computer graphics, is commonly used in texts, advertisements, and movies to illustrate concepts, to emphasize points being discussed, and to entertain. Our approach to graphics has been completely reversed since the days of La grange, and it seems that much of this change is due to the use of computers. Computer graphics today is a mature, successful, and growing field. Itis used by many people for many purposes and it is enjoyed by even more people. One criterion for the maturity of a field of study is its size. When a certain discipline becomes so big that no one person can keep all of it in their head, we say that that discipline has matured (or has come of age). This is what happened to computer graphics in the last decade or so.
Computer Graphics
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Author : Alexey Boreskov
language : en
Publisher: CRC Press
Release Date : 2013-10-25
Computer Graphics written by Alexey Boreskov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-25 with Computers categories.
Complete Coverage of the Current Practice of Computer GraphicsComputer Graphics: From Pixels to Programmable Graphics Hardware explores all major areas of modern computer graphics, starting from basic mathematics and algorithms and concluding with OpenGL and real-time graphics. It gives students a firm foundation in today's high-performance graphic
Rethinking Quaternions
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Author : Ron Goldman
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Rethinking Quaternions written by Ron Goldman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Mathematics categories.
Quaternion multiplication can be used to rotate vectors in three-dimensions. Therefore, in computer graphics, quaternions have three principal applications: to increase speed and reduce storage for calculations involving rotations, to avoid distortions arising from numerical inaccuracies caused by floating point computations with rotations, and to interpolate between two rotations for key frame animation. Yet while the formal algebra of quaternions is well-known in the graphics community, the derivations of the formulas for this algebra and the geometric principles underlying this algebra are not well understood. The goals of this monograph are to provide a fresh, geometric interpretation for quaternions, appropriate for contemporary computer graphics, based on mass-points; to present better ways to visualize quaternions, and the effect of quaternion multiplication on points and vectors in three dimensions using insights from the algebra and geometry of multiplication in the complex plane; to derive the formula for quaternion multiplication from first principles; to develop simple, intuitive proofs of the sandwiching formulas for rotation and reflection; to show how to apply sandwiching to compute perspective projections. In addition to these theoretical issues, we also address some computational questions. We develop straightforward formulas for converting back and forth between quaternion and matrix representations for rotations, reflections, and perspective projections, and we discuss the relative advantages and disadvantages of the quaternion and matrix representations for these transformations. Moreover, we show how to avoid distortions due to floating point computations with rotations by using unit quaternions to represent rotations. We also derive the formula for spherical linear interpolation, and we explain how to apply this formula to interpolate between two rotations for key frame animation. Finally, we explain the role of quaternions in low-dimensional Clifford algebras, and we show how to apply the Clifford algebra for R3 to model rotations, reflections, and perspective projections. To help the reader understand the concepts and formulas presented here, we have incorporated many exercises in order to clarify and elaborate some of the key points in the text. Table of Contents: Preface / Theory / Computation / Rethinking Quaternions and Clif ford Algebras / References / Further Reading / Author Biography
Advanced Methods In Computer Graphics
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Author : Ramakrishnan Mukundan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-10
Advanced Methods In Computer Graphics written by Ramakrishnan Mukundan 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 2012-02-10 with Computers categories.
This book brings together several advanced topics in computer graphics that are important in the areas of game development, three-dimensional animation and real-time rendering. The book is designed for final-year undergraduate or first-year graduate students, who are already familiar with the basic concepts in computer graphics and programming. It aims to provide a good foundation of advanced methods such as skeletal animation, quaternions, mesh processing and collision detection. These and other methods covered in the book are fundamental to the development of algorithms used in commercial applications as well as research.
Dual Quaternions And Their Associated Clifford Algebras
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Author : Ronald Goldman
language : en
Publisher: CRC Press
Release Date : 2023-09-29
Dual Quaternions And Their Associated Clifford Algebras written by Ronald Goldman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-29 with Computers categories.
Clifford algebra for dual quaternions has emerged recently as an alternative to standard matrix algebra as a computational framework for computer graphics. This book presents dual quaternions and their associated Clifford algebras in a new light, accessible to and geared toward the computer graphics community. Collecting all the associated formulas and theorems in one place, this book provides an extensive and rigorous treatment of dual quaternions, as well as showing how two models of Clifford algebra emerge naturally from the theory of dual quaternions. Each section comes complete with a set of exercises to help readers sharpen and practice their understanding. This book is accessible to anyone with a basic knowledge of quaternion algebra and is of particular use to forward-thinking members of the computer graphics community.
Digital Media
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Author : Rimon Elias
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-03-27
Digital Media written by Rimon Elias 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 2014-03-27 with Computers categories.
Focusing on the computer graphics required to create digital media this book discusses the concepts and provides hundreds of solved examples and unsolved problems for practice. Pseudo codes are included where appropriate but these coding examples do not rely on specific languages. The aim is to get readers to understand the ideas and how concepts and algorithms work, through practicing numeric examples. Topics covered include: 2D Graphics 3D Solid Modelling Mapping Techniques Transformations in 2D and 3D Space Illuminations, Lighting and Shading Ideal as an upper level undergraduate text, Digital Media – A Problem-solving Approach for Computer Graphic, approaches the field at a conceptual level thus no programming experience is required, just a basic knowledge of mathematics and linear algebra.
Handbook Of Research On Integrating Computer Science And Computational Thinking In K 12 Education
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Author : Keengwe, Jared
language : en
Publisher: IGI Global
Release Date : 2019-12-13
Handbook Of Research On Integrating Computer Science And Computational Thinking In K 12 Education written by Keengwe, Jared and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-13 with Education categories.
As technology continues to develop and prove its importance in modern society, certain professions are acclimating. Aspects such as computer science and computational thinking are becoming essential areas of study. Implementing these subject areas into teaching practices is necessary for younger generations to adapt to the developing world. There is a critical need to examine the pedagogical implications of these technological skills and implement them into the global curriculum. The Handbook of Research on Integrating Computer Science and Computational Thinking in K-12 Education is a collection of innovative research on the methods and applications of computer science curriculum development within primary and secondary education. While highlighting topics including pedagogical implications, comprehensive techniques, and teacher preparation models, this book is ideally designed for teachers, IT consultants, curriculum developers, instructional designers, educational software developers, higher education faculty, administrators, policymakers, researchers, and graduate students.
Proceedings Of The 6th International Conference On Industrial Engineering Icie 2020
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Author : Andrey A. Radionov
language : en
Publisher: Springer Nature
Release Date : 2021-02-22
Proceedings Of The 6th International Conference On Industrial Engineering Icie 2020 written by Andrey A. Radionov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-22 with Technology & Engineering categories.
This book highlights recent findings in industrial, manufacturing and mechanical engineering, and provides an overview of the state of the art in these fields, mainly in Russia and Eastern Europe. A broad range of topics and issues in modern engineering are discussed, including the dynamics of machines and working processes, friction, wear and lubrication in machines, surface transport and technological machines, manufacturing engineering of industrial facilities, materials engineering, metallurgy, control systems and their industrial applications, industrial mechatronics, automation and robotics. The book gathers selected papers presented at the 6th International Conference on Industrial Engineering (ICIE), held in Sochi, Russia in May 2020. The authors are experts in various fields of engineering, and all papers have been carefully reviewed. Given its scope, the book will be of interest to a wide readership, including mechanical and production engineers, lecturers in engineering disciplines, and engineering graduates.
Handbook Of Digital Image Synthesis
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Author : Vincent Pegoraro
language : en
Publisher: CRC Press
Release Date : 2016-12-12
Handbook Of Digital Image Synthesis written by Vincent Pegoraro and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-12 with Computers categories.
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