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An Algebraic View on Finite Rank in 2D-SSA

An Algebraic View on Finite Rank in 2D-SSA
An Algebraic View on Finite Rank in 2D-SSA
The 2D-SSA method provides a decomposition of a 2D-array (a function of two variables, e.g. digital image) into a sum of identifiable components. For the decomposition to be proper, these components should be close to 2D-arrays of finite rank. This paper is devoted to study of arrays of finite rank by means of polynomial ideals generated by arrays. The 2D-arrays are considered as functionals of polynomials. A general form of arrays of finite rank is obtained. The structure of finite-rank arrays and their trajectory spaces is investigated.
308-313
Golyandina, Nina
3e6cc74b-7daf-4aeb-adc3-f59c2f967f23
Usevich, Konstantin
1ab9effb-9945-40b6-94d7-f94dd0339110
Golyandina, Nina
3e6cc74b-7daf-4aeb-adc3-f59c2f967f23
Usevich, Konstantin
1ab9effb-9945-40b6-94d7-f94dd0339110

Golyandina, Nina and Usevich, Konstantin (2009) An Algebraic View on Finite Rank in 2D-SSA. Proceedings of the 6th St.Petersburg Workshop on Simulation. 28 Jun - 04 Jul 2009. pp. 308-313 .

Record type: Conference or Workshop Item (Other)

Abstract

The 2D-SSA method provides a decomposition of a 2D-array (a function of two variables, e.g. digital image) into a sum of identifiable components. For the decomposition to be proper, these components should be close to 2D-arrays of finite rank. This paper is devoted to study of arrays of finite rank by means of polynomial ideals generated by arrays. The 2D-arrays are considered as functionals of polynomials. A general form of arrays of finite rank is obtained. The structure of finite-rank arrays and their trajectory spaces is investigated.

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More information

Published date: July 2009
Additional Information: Event Dates: June 28-July 4
Venue - Dates: Proceedings of the 6th St.Petersburg Workshop on Simulation, 2009-06-28 - 2009-07-04
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 273005
URI: https://eprints.soton.ac.uk/id/eprint/273005
PURE UUID: e30b8e81-6a0f-451d-8fcd-8dbdd27a24cb

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Date deposited: 15 Nov 2011 22:19
Last modified: 18 Jul 2017 06:18

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Contributors

Author: Nina Golyandina
Author: Konstantin Usevich

University divisions

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