info:eu-repo/semantics/report
A Markovian Random Field of Piecewice Straight Lines
Autor
JOSE LUIS MARROQUIN ZALETA
Institución
Resumen
We present the construction of a vector-valued
Markovian Random field on a finite lattice, whose equilibrium
configurations consist of piecewise straight lines of arbitrary
orientations, that uses only nearest neighbor interactions. For
certain parameter values, this field presents a form of self
organization, in which the lattice is partitioned into regions
where particular line directions dominate. We also develop a
stochastic cellular automaton (based on the Gibbs Sampler
algorithm) that simulates this field. To illustrate the usefulness
of this construct ion for the sol uti on of computational VlSlon
problems, we present a simple application: the restoration of
images that consist on incomplete contours.
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