John Vince

Vector Analysis for Computer Graphics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

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

Autorenporträt

John Vince, Bournemouth University, Bournemouth, UK

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

---

Preface.- History of Vector Analysis.- Linear Equations.- Vector Algebra.- Products of Vectors.- Differentiating Vector-Valued Functions.- Vector Differential Operators.- Tangent and Normal Vectors.- Straight Lines.- The Plane.- Intersections.- Rotating Vectors.- Index.

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)