This book 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. It 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.

A unique handbook of the geometry associated with computer graphics Includes separate sections with formulae, examples and proofs, to provide everything the reader needs to understand the topic Includes supplementary material: sn.pub/extras

Autorentext

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)

Inhalt

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.