A linear algorithm for computing the phase portraits of orientedtextures
Shu, C.-F.
Jain, R.
Quek, F.
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI;
Abstract
Phase portraits are a powerful mathematical model for describing
oriented textures. An isotangent-based approach is presented which is a
linear formulation to the problem, to locate the critical points and
compute the parameter sets of this model for the nonsingular
two-dimensional first-order phase portraits. The authors classify flow
patterns by Jordan canonical forms of the characteristic matrix made up
of the estimated parameters. For these systems, they prove that all the
isotangent curves are straight lines which intersect at a critical
point. They also apply least median of squares (LMS) estimators to find
the isotangent lines and locate the critical point. A linear regression
technique is used to estimate the parameters of the two-dimensional
first-order phase portrait of a given flow pattern. Results of applying
the algorithm to synthetic and real images are presented
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