Cubical singular simplex model for 3D objects and fast computation of homology groups

Author

Chao, Jinhui ; Nakayama, Jyouji

Author_Institution

Dept. of Electr. & Electron. Eng., Chuo Univ., Tokyo, Japan

Volume

4

fYear

1996

fDate

25-29 Aug 1996

Firstpage

190

Abstract

This paper proposes a new simplex model for 3D objects: a cubical singular simplex model instead of the traditional triangularization simplex model. An extended Kohonen mapping is then presented as an efficient learning rule of the model. Based on this model, one can derive a pyramid structure for multi-resolution hierarchy, which is not possible for triangularization simplex. Besides, a fast algorithm is shown to calculate the homology groups of the objects as topological invariants from the proposed model

Keywords

image representation; self-organising feature maps; stereo image processing; topology; unsupervised learning; 3D object representation; cubical singular simplex model; extended Kohonen mapping; homology groups; multiple resolution hierarchy; pyramid structure; topological invariants; unsupervised learning rule; Chaos; Feature extraction; Flexible structures; Image coding; Image recognition; Image restoration; Network topology; Shape; Smoothing methods; Vector quantization;

fLanguage

English

Publisher

ieee

Conference_Titel

Pattern Recognition, 1996., Proceedings of the 13th International Conference on

Conference_Location

Vienna

ISSN

1051-4651

Print_ISBN

0-8186-7282-X

Type

conf

DOI

10.1109/ICPR.1996.547259

Filename

547259