DocumentCode
2255370
Title
Geometric computation based on an adaptive data length computation processor
Author
Niizeki, Masatoshi ; Yoshida, Makoto ; Kitamura, Tohru ; Yamaguchi, Fujio
Author_Institution
Fac. of Eng., Osaka Electro-Commun. Univ., Neyagawa, Japan
fYear
1996
fDate
24-28 Jun 1996
Firstpage
122
Lastpage
130
Abstract
Introduces a model of a simple geometric processor on which geometric computation packages for solid modeling and computer graphics can be based. An exact integer representation and an adaptive determinant sign detection method are built into a geometric library to give a solution to the problem of accuracy and efficiency in 3D geometric programs. The computational core of this geometric library is designed so that it can be readily replaced with a simple hardware processor. The geometric computations are based on signed Plucker coordinates and the 4×4 determinant method. A method for classifying degenerate configurations of points using parallel sign detections of the Plucker coordinates of points, lines and planes using the processor is developed. A geometric computation library designed in this way has many advantages when compared to conventional geometric approaches
Keywords
computational geometry; computer graphics; determinants; firmware; mathematics computing; microprocessor chips; software libraries; special purpose computers; 3D geometric programs; 4×4 determinant method; accuracy; adaptive data length computation processor; adaptive determinant sign detection method; computer graphics; degenerate point configuration classification method; determinant processor; efficiency; exact integer representation; geometric computation; geometric library; geometric processor; lines; parallel sign detections; planes; signed Plucker coordinates; solid modeling; Computational efficiency; Computer graphics; Finite wordlength effects; Hardware; Libraries; Packaging; Programming profession; Solid modeling; Stability; Testing;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Graphics International, 1996. Proceedings
Conference_Location
Pohang
Print_ISBN
0-8186-7518-7
Type
conf
DOI
10.1109/CGI.1996.511794
Filename
511794
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