DocumentCode
2078394
Title
A preliminary framework for geometric basis computing pattern
Author
Lin, Wei ; He, Yuanjun ; Yu, Haiyan
Author_Institution
Dept. of Comput. Sci. & Eng., Shanghai Jiao Tong Univ., Shanghai, China
Volume
2
fYear
2010
fDate
10-12 Dec. 2010
Firstpage
710
Lastpage
713
Abstract
Geometric problems are usually solved by algebraic methods, which narrows the capacity of geometry. We represent a preliminary framework for geometric basis computing pattern. The pattern is based on He´s theory and solves the problems in the synthetic way. We define the geometric basis and use an axiomatic prover to generate a sequence of geometric bases. Computing is made according to the sequence. We also give an example to demonstration the feasibility of our approach.
Keywords
computational geometry; computer graphics; theorem proving; He theory; algebraic methods; axiomatic prover; geometric basis computing pattern; geometric problems; Algebra; Animation; Computers; Geometry; Interpolation; Geometric basis; Geometric computing; Geometry information; Singularity detection; Theorem prover;
fLanguage
English
Publisher
ieee
Conference_Titel
Progress in Informatics and Computing (PIC), 2010 IEEE International Conference on
Conference_Location
Shanghai
Print_ISBN
978-1-4244-6788-4
Type
conf
DOI
10.1109/PIC.2010.5687909
Filename
5687909
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