John Vince

Vector Analysis for Computer Graphics (eBook, PDF)

• Format: PDF

Produktbeschreibung

An ideal course book for mathematics undergraduates and graduates alike, this book is a complete introduction to vector analysis, especially within the context of computer graphics. The author shows why vectors are useful and how it is possible to develop analytical skills in manipulating vector algebra. Even though vector analysis is a relatively recent development in the history of mathematics, it has become a powerful and central tool in describing and solving a wide range of geometric problems, many, of which, arise in computer graphics. Each topic covered here is placed in the context of a practical application within computer graphics. The book is divided into eleven chapters covering the mathematical foundations of vector algebra and its application to, among others, lines, planes, intersections, rotating vectors, and vector differentiation.

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Produktdetails

• Verlag: Springer London
• Seitenzahl: 259
• Erscheinungstermin: 15. Mai 2007
• Englisch
• ISBN-13: 9781846288043
• Artikelnr.: 44132939

Autorenporträt

Professor John Vince began working in computer graphics at Middlesex Polytechnic in 1968. His research activities centered on computer animation software and resulted in the PICASO and PRISM animation systems. Whilst at Middlesex, he designed the UK's first MSc course in Computer Graphics and developed a popular program of short courses in computer animation for television designers. In 1986 he joined Rediffusion Simulation as a Research Consultant and worked on the development of real-time computer systems for commercial flight simulators. In 1992 he was appointed Chief Scientist of Thomson Training Simulation Ltd. In 1995 he was appointed Professor of Digital Media at the National Centre for Computer Animation at Bournemouth University and in 1999 he was made Head of Academic Group for Computer Animation. He was awarded a DSc by Brunel University in recognition of his work in computer graphics. He has written and edited over 45 books on computer graphics, computer animation, computer science and virtual reality, including the following Springer titles: ¿ Calculus for Computer Graphics, 2nd edition (2019) ¿ Mathematics for Computer Graphics, 5th edition (2017) ¿ Imaginary Mathematics for Computer Science, (2018) ¿ Foundation Mathematics for Computer Science, 2nd edition (2015) ¿ Matrix Transforms for Computer Games and Animation (2012) ¿ Expanding the Frontiers of Visual Analytics and Visualization (2012) ¿ Quaternions for Computer Graphics (2011) ¿ Rotation Transforms for Computer Graphics (2011) ¿ Geometric Algebra: An Algebraic System for Computer Animation and Games (2009) ¿ Geometric Algebra for Computer Graphics (2008)

Inhaltsangabe

Scalars and Vectors.- Vector Representation.- Straight Lines.- The Plane.- Reflections.- Intersections.- Rotating Vectors.- Vector Differentiation.- Projections.- Rendering.- Motion.- Appendix A: Vector Algebra.- Appendix B: Vector Triple Product.- References

Rezensionen

From the reviews:

"Vince's book applies to more than computer graphics: it is a resource for many areas in applied mathematics. ... Students in computer graphics courses would find it very useful if their class discussions moved into the mathematical fundamentals underlying the tools. ... Undergraduate students especially lack the mathematics background that this book provides. ... It is comprehensive and coherent, and a good addition to the library of any computational scientist." (Anthony J. Duben, ACM Computing Reviews, Vol. 49 (8), August, 2008)

"Each chapter presents some topic from vector analysis and contains a well-developed derivation and mathematical demonstration that makes following the topic easier. ... The book is written in a very accessible fashion. The author gives many examples presenting the notations and problems considered, making study easier. The book is suitable for undergraduate students of computer science, mathematics, and engineering, and is an ideal reference for researchers and professionals in computer graphics." (Krzysztof Gdawiec, zbMATH 1478.68008, 2022)