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
July 2009
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, St. Petersburg, Russia.
28 Jun - 04 Jul 2009.
.
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Conference or Workshop Item
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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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Published date: July 2009
Additional Information:
Event Dates: June 28-July 4
Venue - Dates:
Proceedings of the 6th St.Petersburg Workshop on Simulation, St. Petersburg, Russia, 2009-06-28 - 2009-07-04
Organisations:
Southampton Wireless Group
Identifiers
Local EPrints ID: 273005
URI: http://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: 14 Mar 2024 10:16
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Contributors
Author:
Nina Golyandina
Author:
Konstantin Usevich
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