A new surface model based on a fibre bundle of 1-parameter groups

Author

Chao, Jinhui ; Kim, Jongdue ; Atsushi, Nugukuru

Author_Institution

Dept. of Electr., Electron. & Commun. Eng., Chuo Univ., Bunkyo, Japan

Volume

1

fYear

2004

fDate

27-30 June 2004

Firstpage

129

Abstract

A new fibre bundle surface model is proposed for 3D object modeling. This fibre bundle model, consisting of local direct product of a base curve and a fibre curve, is able to represent arbitrary surfaces. In particular, the fibre bundle of 1-parameter groups, i.e. with fibres as 1-parameter groups are efficient in both synthesis and recognition. Indeed, the 1-parameter groups can be uniquely determined by finite, e.g. six invariants of their Lie algebras. Besides, the surfaces can be quickly generated by elementary functions without numerical integration errors. This model is also expected to be useful in object-based 3D image coding.

Keywords

Laplace transforms; Lie algebras; computational geometry; solid modelling; 3D object modeling; Laplacian transform; Lie algebra invariants; arbitrary surface representation; base curve/fibre curve product; fibre bundle surface model; object-based 3D image coding; single-parameter fibre groups; surface modeling; surface recognition; surface synthesis; Algebra; Chaotic communication; Character generation; Computer errors; Data mining; Image coding; Image communication; Interpolation; Optical fiber communication; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia and Expo, 2004. ICME '04. 2004 IEEE International Conference on

Print_ISBN

0-7803-8603-5

Type

conf

DOI

10.1109/ICME.2004.1394142

Filename

1394142