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Proceedings Paper

Modeling temporal morphological systems via lattice dynamical systems
Author(s): Junior Barrera; Edward R. Dougherty; Marco D. Gubitoso; Nina Sumiko Tomita Hirata
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Paper Abstract

This paper introduces the family of Finite Lattice Dynamical Systems (FLDS), that includes, for example, the family of finite chain dynamical systems. It also gives a constructive algebraic representation for these systems, based on classical lattice operator morphological representations, and formalizes the problem of FLDS identification from stochastic initial condition, input and ideal output. Under acceptable practical conditions, the identification problem reduces to a set of problems of lattice operator design from observed input-output data, that has been extensively studied in the context of designing morphological image operators. Finally, an application of this technique for the identification of Boolean Networks (i.e., Boolean lattice dynamical systems) from simulated data is presented and analyzed.

Paper Details

Date Published: 8 May 2001
PDF: 12 pages
Proc. SPIE 4304, Nonlinear Image Processing and Pattern Analysis XII, (8 May 2001); doi: 10.1117/12.424981
Show Author Affiliations
Junior Barrera, Univ. de Sao Paulo (Brazil)
Edward R. Dougherty, Texas A&M Univ. (United States)
Marco D. Gubitoso, Univ. de Sao Paulo (Brazil)
Nina Sumiko Tomita Hirata, Univ. de Sao Paulo (Brazil)

Published in SPIE Proceedings Vol. 4304:
Nonlinear Image Processing and Pattern Analysis XII
Edward R. Dougherty; Jaakko T. Astola, Editor(s)

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