TY  - BOOK
AU  - Herman,Ivan
ED  - SpringerLink (Online service)
TI  - The Use of Projective Geometry in Computer Graphics
T2  - Lecture Notes in Computer Science,
SN  - 9783540466871
AV  - T385 
U1  - 006.6 23
PY  - 1992///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Computer science
KW  - Computer graphics
KW  - Mathematics
KW  - Geometry
KW  - Computer Science
KW  - Computer Graphics
KW  - Computational Mathematics and Numerical Analysis
N1  - Projective geometry in general -- Practical use of four dimensional geometry -- Modelling clip -- Projective algorithms -- Conclusions -- Directions for further research -- An unsolved problem: Shaded B-spline surfaces
N2  - The ultimate goal of all 3D graphics systems is to render 3D objects on a two-dimensional surface such as plotter output or a workstation screen. The approach adopted by most graphics systems is to perform a central or parallel projection of the objects onto the view surface. These systems have to make use of the mathematical results of projective geometry. This monograph has as its aim the derivation of a framework for analyzing the behavior of projective transformations in graphics systems. It is shown that a mathematically precise description of the projective geometrical nature of a graphics system leads not only to a deeper understanding of the system but also to new approaches which result in faster or more precise algorithms. A further aim of the book is to show the importance of advanced mathematics for computer science. Many problems become easier to describe or to solve when the appropriate mathematical tools are used. The author demonstrates that projective geometry has a major role to play in computer graphics
UR  - http://dx.doi.org/10.1007/3-540-55075-5
ER  -