DocumentCode
419560
Title
A fibre bundle model of surfaces and its generalization
Author
Chao, Jinhui ; Kim, Jongdae
Author_Institution
Dept. of Inf. Syst. Eng., Chuo Univ., Tokyo, Japan
Volume
1
fYear
2004
fDate
23-26 Aug. 2004
Firstpage
560
Abstract
A fibre bundle model of shapes is proposed to describe a surface as a local direct product of a base curve and a fibre curve. With fibre curves as 1-parameter groups, this model is efficient in both synthesis and recognition. In fact, the 1-parameter groups can be uniquely determined by finite, e.g., six invariants of their Lie algebras. Besides, the surfaces can be fastly generated by elementary function without numerical integration error. This model is then extended to fibres defined by high order ODE.
Keywords
Laplace transforms; Lie algebras; computational geometry; differential equations; object recognition; solid modelling; 1-parameter groups; Laplacian transform; Lie algebras; ODE; fibre bundle model; fibre curves; numerical integration error; ordinary differential equation; shape recognition; shape synthesis; Algebra; Chaotic communication; Character generation; Engine cylinders; Information systems; Optical fiber communication; Pattern recognition; Shape; Spline; Systems engineering and theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Pattern Recognition, 2004. ICPR 2004. Proceedings of the 17th International Conference on
ISSN
1051-4651
Print_ISBN
0-7695-2128-2
Type
conf
DOI
10.1109/ICPR.2004.1334200
Filename
1334200
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