Vector geometry for computer graphics

Author

Miller, James R.

Author_Institution

Kansas Univ., Lawrence, KS, USA

Volume

19

Issue

3

fYear

1999

Firstpage

66

Lastpage

73

Abstract

Computer graphics and modeling rely on mathematical operations on points and vectors. The author advocates using vector geometric analysis to simplify required derivations. He presents the basic language and methods of vector geometric analysis and characterizes the situations favoring vector geometric versus coordinate based analysis. A set of C++ classes is developed which includes methods and definitions of overloaded operators implementing nearly all of the low level operations and matrix construction algorithms presented in this article and its companion (J.R. Miller, see ibid., vol.19, no.4, 1999). Sample code using these tools to perform representative common operations is presented

Keywords

C++ language; computational geometry; computer graphics; object-oriented programming; C++ classes; computer graphics; coordinate based analysis; low level operations; mathematical operations; matrix construction algorithms; overloaded operators; representative common operations; sample code; vector geometric analysis; vector geometry; Application software; Computational geometry; Computer graphics; Concrete; Mathematical model; Pipelines; Programming; Solid modeling; Stress; Writing;

fLanguage

English

Journal_Title

Computer Graphics and Applications, IEEE

Publisher

ieee

ISSN

0272-1716

Type

jour

DOI

10.1109/38.761552

Filename

761552