Rotation Transforms For Computer Graphics

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Rotation Transforms For Computer Graphics

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Author : John Vince
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-04

Rotation Transforms For Computer Graphics written by John Vince 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 2011-01-04 with Computers categories.

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.

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.

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Calculus For Computer Graphics

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Author : John Vince
language : en
Publisher: Springer
Release Date : 2019-03-12

Calculus For Computer Graphics written by John Vince and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-12 with Computers categories.

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.

Geometry For Computer Graphics

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Author : John Vince
language : en
Publisher: Springer
Release Date : 2006-01-16

Geometry For Computer Graphics written by John Vince and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-16 with Computers categories.

A complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic. Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry.

Mathematics For Computer Graphics

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Author : John Vince
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-09

Mathematics For Computer Graphics written by John Vince 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 2005-11-09 with Computers categories.

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.

Essential Computer Animation Fast

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Author : John Vince
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Essential Computer Animation Fast written by John Vince 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.

Computer Animation is now worlds away from its early beginnings when programs merely mimicked the hand drawn cartoon process. Its now regularly used for creating wonderful special effects in major movies like Titanic, Toy Story, Antz and Bugs Life. John Vince tells you all about: The basic principles used in the powerful software products currently available on the market; The terms and processes involved; And in an easy-to-understand way, with no complicated math. So if you want to learn more about 3D computer animation without being swamped by complex mathematics, then read this book and have fun creating your own animated programs.

Linear Algebra With Applications

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Author : Gareth Williams
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2005

Linear Algebra With Applications written by Gareth Williams and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.

Linear Algebra with Applications, Fifth Edition by Gareth Williams is designed for math and engineering students taking an introductory course in linear algebra. It provides a flexible blend of theory, important numerical techniques, and interesting applications in a range of fields. Instructors can select topics that give the course the desired emphasis and include other areas as general reading assignments to give students a broad exposure to the field.

Computer Graphics

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Author : DESAI, APURVA A.
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2008-10-22

Computer Graphics written by DESAI, APURVA A. and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-22 with Computers categories.

This text not only covers all topics required for a fundamental course in computer graphics but also emphasizes a programming-oriented approach to computer graphics. The book helps the students in understanding the basic principles for design of graphics and in developing skills in both two- and three-dimensional computer graphics systems. Written in an accessible style, the presentation of the text is methodical, systematic and gently paced, covering a range of essential and conceivable aspects of computer graphics, which will give students a solid background to generate applications for their future work. The book, divided into 11 chapters, begins with a general introduction to the subject and ends with explaining some of the exciting graphics techniques such as animation, morphing, digital image processing, fractals and ray tracing. Along the way, all the concepts up to two-dimensional graphics are explained through programs developed in C. This book is intended to be a course text for the B.Tech/M.Tech students of Computer Science and Engineering, the B.Tech students of Information Technology and the M.Sc. students pursuing courses in Computer Science, Information Science and Information Technology, as well as the students of BCA and MCA courses. Key Features : Fundamentals are discussed in detail to help the students understand all the needed theory and the principles of computer graphics. Extensive use of figures to convey even the simplest concepts. Chapter-end exercises include conceptual questions and programming problems.

Turtle Geometry

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Author : Harold Abelson
language : en
Publisher: MIT Press
Release Date : 1986-07-09

Turtle Geometry written by Harold Abelson and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-07-09 with Computers categories.

Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.

The Rotational Symphony Unveiling The Rhythms Of Rotation And Symmetry

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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-19

The Rotational Symphony Unveiling The Rhythms Of Rotation And Symmetry written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-19 with Mathematics categories.

Embark on a captivating journey into the world of rotations and symmetry with "The Rotational Symphony: Unveiling the Rhythms of Rotation and Symmetry." This comprehensive and engaging book delves into the mathematical foundations, diverse applications, and profound beauty of rotations, offering a unique perspective that spans across disciplines. Within these pages, you will discover the mathematical tools that orchestrate the intricate dance of rotations. Rotation matrices and quaternions emerge as powerful instruments, enabling the precise representation and manipulation of rotations in a rigorous and elegant manner. These mathematical constructs unlock the secrets of rotational motion, providing deep insights into the behavior of objects in motion and the forces that govern their dynamics. Beyond the realm of mathematics, rotations find their expression in a multitude of scientific and engineering fields. In physics, the concept of angular momentum arises as a fundamental property of rotating objects, revealing deep connections between rotation and the conservation of energy. Rotational spectroscopy, a powerful technique in molecular physics, unveils the intricate structure of molecules by analyzing their rotational spectra. In engineering, rotations play a pivotal role in the design and analysis of machines, structures, and mechanisms. From the turbines that generate electricity to the gears that transmit power, rotations are essential for the functioning of countless devices that shape our modern world. The realm of art and design also bears witness to the captivating allure of rotations. From the radial symmetry of mandalas to the dynamic spirals of nautilus shells, rotations inspire artists to create mesmerizing patterns and forms. Architects and designers harness the power of rotational symmetry to craft aesthetically pleasing structures and objects that resonate with harmony and balance. As you delve into the pages of this book, you will uncover the profound beauty and elegance that lie at the heart of this fundamental concept. Through the lens of mathematics, physics, engineering, and art, you will gain a deeper appreciation for the intricate patterns that govern our universe and discover the hidden rhythms of rotation and symmetry that orchestrate the symphony of existence. If you like this book, write a review!