An Algebraic View on Finite Rank in 2D-SSA
Golyandina, Nina and Usevich, Konstantin (2009) An Algebraic View on Finite Rank in 2D-SSA. At Proceedings of the 6th St.Petersburg Workshop on Simulation, St. Petersburg, Russia, 28 Jun - 04 Jul 2009. VVM com.Ltd., 308-313.
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Description/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 identiable 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.
| Item Type: | Conference or Workshop Item (Speech) |
|---|---|
| Additional Information: | Event Dates: June 28-July 4 |
| Related URLs: | |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 273005 |
| Date Deposited: | 15 Nov 2011 22:19 |
| Last Modified: | 07 Mar 2012 09:53 |
| Contributors: | Golyandina, Nina (Author) Usevich, Konstantin (Author) |
| Date: | July 2009 |
| Additional Information: | Event Dates: June 28-July 4 |
| Status: | Published |
| Publisher: | VVM com.Ltd. |
| Further Information: | Google Scholar |
| URI: | http://eprints.soton.ac.uk/id/eprint/273005 |
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