Vector Analysis for Computer Graphics
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Beschreibung
Vector analysis is relatively young in the history of mathematics, however, in the short period of its existence 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. These may be in the form of describing lines, surfaces and volumes, which may touch, collide, intersect, or create shadows upon complex surfaces.
Vector Analysis for Computer Graphics provides 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 the vector algebra. Each topic covered 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 lines, planes, intersections, rotating vectors, vector differentiation, projections, rendering and motion.
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.
Approaches vector analysis from a geometric standpoint, with an emphasis on applications in computer graphics
Autor*in
John Vince
Themen in »Vector Analysis for Computer Graphics«
Computer Analysis Computer Games calculus computer animation computer graphics development reflection rendering
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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)
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