Geometry is the cornerstone of computer graphics and computer animation, and provides the framework and tools for solving problems in two and three dimensions. This may be in the form of describing simple shapes such as a circle, ellipse, or parabola, or complex problems such as rotating 3D objects about an arbitrary axis. Geometry for Computer Graphics draws together a wide variety of geometric information that will provide a sourcebook of facts, examples, and proofs for students, academics, researchers, and professional practitioners. The book is divided into 4 sections: the first summarizes hundreds of formulae used to solve 2D and 3D geometric problems. The second section places these formulae in context in the form of worked examples. The third provides the origin and proofs of these formulae, and communicates mathematical strategies for solving geometric problems. The last section is a glossary of terms used in geometry.
By:
John Vince
Imprint: Springer Verlag
Country of Publication: United Kingdom
Dimensions:
Height: 235mm,
Width: 178mm,
Spine: 20mm
Weight: 709g
ISBN: 9781852338343
ISBN 10: 1852338342
Pages: 368
Publication Date: 01 May 2005
Audience:
College/higher education
,
Professional and scholarly
,
Primary
,
Undergraduate
Format: Hardback
Publisher's Status: Active
From the contents: Geometry.- Lines, angles and trigonometry.- Circe.- Triangle.- Quadrilaterals.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and circles.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Examples.- Trigonometry.- Circe.- Triangle.- Quadrilateral.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and a circle.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Proofs.- Glossary.
Reviews for Geometry for Computer Graphics: Formulae, Examples and Proofs
This single-author test [sic] provides a scientific and economic overview of tsetse biology and ecology, epidemiology and vector control. It is a splendid authoritative text, written concisely and convincingly. . . . Here is a well referenced, up-to-date and practical discussion of a parasitic disease affecting livestock and humans with a major regional effect and potential international impact. The book is an invaluable reference for veterinary and medical entomologists and parasitologists. The epidemiological aspects are relevant for physicians and veterinarians. Toxicologists will find interest in the control measures utilizing insecticides, and researchers studying emerging diseases will be alerted to the potential for trypanosomosis. A scholarly review in a price-worthy package. --Veterinary and Human Toxicology<br> Tsetse Biology and Ecology is comprehensive, covering all aspects of tsetse fly biology and trypanosomiasis. Its chief strength is that it reviews ecology and trypanosomiasis epidemiology in breadth and depth. . . . The book contains a detailed table of contents, list of figures and tables, and is unusually well indexed. It affords a thorough guide to the literature, with 115 pages of citations. . . . Tsetse Biology and Ecology is timely and likely to be well received. It reviews in some depth modern developments in Glossina and Trypanosoma brucei biology. . . . The present volume will prove most useful to field and bench scientists in medical entomology and parasitology. It will be an indispensable reference for scientists involved in tsetse and trypanosomiasis research and control programs. Animal health staff in the international agencies will find itessential. [It] will become the standard reference on tsetse for years to come. --The Quarterly Review of Biology<br>