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Research Bernoulli Institute Calendar Colloquia - Computer Science

Extra Colloquium Computer Science, Professor Bernhard Burgeth (Universität des Saarlandes)

29 June 2015


Monday, June 29th 2015


Prof. Bernhard Burgeth


5161.0267 (Bernoulliborg)



Title: Elementary Morphology for Color Images and Orientation Fields


In this talk we discuss two recent extensions of classical (elementary)
First we propose an extension to morphology for color images that relies on
the existing order based morphology for matrix fields of
symmetric 2 × 2-matrices.
An RGB-image is embedded into a field of those 2 × 2-matrices by exploiting
the geometrical properties of the order cone associated with the
Loewner order. To this end a modification of the HSL-color model and
a relativistic addition of matrices is introduced.\\
Secondly, we extend morphological techniques to process fields
of special orthogonal matrices (SO(n)-matrices).
Since the group structure of SO(2)- resp. SO(3)-fields does not lend itself
to establish useful notions of infimum and supremum, they are transformed
into scalar images resp. fields of symmetric 2 x 2 matrices
utilising a matrix-valued version of the Cayley transform. \\
Several examples and numerical results are presented to show the merits
and the limitations of these approaches.

Colloquium coordinators are Prof.dr. M. Aiello (e-mail : M.Aiello ) and
Prof.dr. M. Biehl (e-mail: M.Biehl )

Last modified:07 June 2018 10.59 a.m.

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