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
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;
Conference_Titel :
Pattern Recognition, 2004. ICPR 2004. Proceedings of the 17th International Conference on
Print_ISBN :
0-7695-2128-2
DOI :
10.1109/ICPR.2004.1334200
