Modeling temporal morphological systems via lattice dynamical systems

Junior Barrera; Edward R. Dougherty; Marco D. Gubitoso; Nina Sumiko Tomita Hirata

doi:10.1117/12.424981

8 May 2001 Modeling temporal morphological systems via lattice dynamical systems

Junior Barrera, Edward R. Dougherty, Marco D. Gubitoso, Nina Sumiko Tomita Hirata

Proceedings Volume 4304, Nonlinear Image Processing and Pattern Analysis XII; (2001) https://doi.org/10.1117/12.424981
Event: Photonics West 2001 - Electronic Imaging, 2001, San Jose, CA, United States

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.

Citation Download Citation

Junior Barrera, Edward R. Dougherty, Marco D. Gubitoso, and Nina Sumiko Tomita Hirata "Modeling temporal morphological systems via lattice dynamical systems", Proc. SPIE 4304, Nonlinear Image Processing and Pattern Analysis XII, (8 May 2001); https://doi.org/10.1117/12.424981

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