عنوان

The use of projective geometry in computer graphics

(Number (ISBN

3540466878

(Number (ISBN

9783540466871

Number

b566145

Title Proper

The use of projective geometry in computer graphics

General Material Designation

[Book]

First Statement of Responsibility

I. Herman.

Place of Publication, Distribution, etc.

Berlin ; New York

Name of Publisher, Distributor, etc.

Springer-Verlag

Date of Publication, Distribution, etc.

©1992.

Specific Material Designation and Extent of Item

(viii, 146 pages) : illustrations.

Series Title

Lecture notes in computer science, 564.

Text of Note

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.

Text of Note

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.

Computer graphics.

Geometry, Projective.

Infographie.

Class number

Book number

I. Herman.

I Herman

Electronic name

[Book]

Y