A surface model based on a fibre bundle of 1-parameter groups of hamiltonian lie algebra

Jinhui Chao; Fang Xing Li

doi:10.1109/ICIP.2005.1529927

A surface model based on a fibre bundle of 1-parameter groups of hamiltonian lie algebra

Jinhui Chao^*, Fang Xing Li

^*Corresponding author for this work

Chuo University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

This paper extends a successful fibre-bundle surface model using 1-parameter groups of a linear Lie algebra as fibres. The new model uses a fibre-bundle of 1-parameter groups of a Hamilton Lie algebra, therefore is rich in descriptive power to represent bounded shapes as closed surfaces. A surface represented by this model is uniquely determined by a finite number of invariants. The complete invariant set of the model under action of Euclidean motions is obtained. Conditions for the surfaces to be bounded or closed are also given. Another feature is that the surfaces can be synthesized by elementary functions therefore free of numerical integration errors. This model can be used in recognition-synthesis-based coding of 3D images, image retrieving and copyright protection as well.

Original language	English
Title of host publication	IEEE International Conference on Image Processing 2005, ICIP 2005
Pages	1021-1024
Number of pages	4
DOIs	https://doi.org/10.1109/ICIP.2005.1529927
Publication status	Published - 2005
Externally published	Yes
Event	IEEE International Conference on Image Processing 2005, ICIP 2005 - Genova, Italy Duration: 11 Sept 2005 → 14 Sept 2005

Publication series

Name	Proceedings - International Conference on Image Processing, ICIP
Volume	1
ISSN (Print)	1522-4880

Conference

Conference	IEEE International Conference on Image Processing 2005, ICIP 2005
Country/Territory	Italy
City	Genova
Period	11/09/05 → 14/09/05

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10.1109/ICIP.2005.1529927

Cite this

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title = "A surface model based on a fibre bundle of 1-parameter groups of hamiltonian lie algebra",

abstract = "This paper extends a successful fibre-bundle surface model using 1-parameter groups of a linear Lie algebra as fibres. The new model uses a fibre-bundle of 1-parameter groups of a Hamilton Lie algebra, therefore is rich in descriptive power to represent bounded shapes as closed surfaces. A surface represented by this model is uniquely determined by a finite number of invariants. The complete invariant set of the model under action of Euclidean motions is obtained. Conditions for the surfaces to be bounded or closed are also given. Another feature is that the surfaces can be synthesized by elementary functions therefore free of numerical integration errors. This model can be used in recognition-synthesis-based coding of 3D images, image retrieving and copyright protection as well.",

author = "Jinhui Chao and Li, {Fang Xing}",

year = "2005",

doi = "10.1109/ICIP.2005.1529927",

language = "English",

isbn = "0780391349",

series = "Proceedings - International Conference on Image Processing, ICIP",

pages = "1021--1024",

booktitle = "IEEE International Conference on Image Processing 2005, ICIP 2005",

note = "IEEE International Conference on Image Processing 2005, ICIP 2005 ; Conference date: 11-09-2005 Through 14-09-2005",

}

Chao, J & Li, FX 2005, A surface model based on a fibre bundle of 1-parameter groups of hamiltonian lie algebra. in IEEE International Conference on Image Processing 2005, ICIP 2005., 1529927, Proceedings - International Conference on Image Processing, ICIP, vol. 1, pp. 1021-1024, IEEE International Conference on Image Processing 2005, ICIP 2005, Genova, Italy, 11/09/05. https://doi.org/10.1109/ICIP.2005.1529927

A surface model based on a fibre bundle of 1-parameter groups of hamiltonian lie algebra. / Chao, Jinhui; Li, Fang Xing.
IEEE International Conference on Image Processing 2005, ICIP 2005. 2005. p. 1021-1024 1529927 (Proceedings - International Conference on Image Processing, ICIP; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Chao, Jinhui

AU - Li, Fang Xing

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N2 - This paper extends a successful fibre-bundle surface model using 1-parameter groups of a linear Lie algebra as fibres. The new model uses a fibre-bundle of 1-parameter groups of a Hamilton Lie algebra, therefore is rich in descriptive power to represent bounded shapes as closed surfaces. A surface represented by this model is uniquely determined by a finite number of invariants. The complete invariant set of the model under action of Euclidean motions is obtained. Conditions for the surfaces to be bounded or closed are also given. Another feature is that the surfaces can be synthesized by elementary functions therefore free of numerical integration errors. This model can be used in recognition-synthesis-based coding of 3D images, image retrieving and copyright protection as well.

AB - This paper extends a successful fibre-bundle surface model using 1-parameter groups of a linear Lie algebra as fibres. The new model uses a fibre-bundle of 1-parameter groups of a Hamilton Lie algebra, therefore is rich in descriptive power to represent bounded shapes as closed surfaces. A surface represented by this model is uniquely determined by a finite number of invariants. The complete invariant set of the model under action of Euclidean motions is obtained. Conditions for the surfaces to be bounded or closed are also given. Another feature is that the surfaces can be synthesized by elementary functions therefore free of numerical integration errors. This model can be used in recognition-synthesis-based coding of 3D images, image retrieving and copyright protection as well.

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Y2 - 11 September 2005 through 14 September 2005

ER -

A surface model based on a fibre bundle of 1-parameter groups of hamiltonian lie algebra

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