Seminar for Probability Logic
PROGRAM
Plan rada Seminara Verovatnosnih logika za decembar 2012.
Sastanci seminara verovatnosnih logika Matematickog instituta SANU odrzavaju se na adresi: Kneza Mihaila 36/III sprat, soba 301f - sala za seminare. Sastanci se odrzavaju cetvrtkom posle podne, od 15h, pod rukovodstvom Profesora Miodraga Raskovica.
ČETVRTAK, 06.12.2012. U 15:15
dr Radosav Raka Djordjevic
PREDSTAVLJANJE MONOGRAFIJA O CILINDRICNIM ALGEBRAMA
ČETVRTAK, 13.12.2012. U 16:00
Natasa Sladoje, Faculty of Technical Sciences, University of Novi Sad,
Serbia
COVERAGE SEGMENTATION BY ENERGY MINIMIZATION - A PRACTICAL EXAMPLE OF
SUB-PIXEL IMAGE PROCESSING
Abstract: The coverage model provides a framework for representing
continuous objects present in digital
images as spatial fuzzy subsets. We introduce the basic definitions and
properties of this model and
show how it can be used to improve information extraction from digital
images and to reduce problems
originating from limited spatial resolution. The focus of the talk is on
one method for coverage
segmentation, where the coverage percentage of each image element (pixel)
by each of the image components
is estimated. The method enhances a model for linear unmixing of image
intensities by incorporating
criteria for regulating spatial smoothness and for imposing a
theoretically plausible result. The
segmentation task is formulated as an optimization problem and is solved
by the Spectral Projected Gradient
method. Excellent performance of the method in noisy conditions is
demonstrated, with a particular emphasis
on its combination with feature estimation methods utilizing the coverage
information to provide high
precision results. The generality of the model, combined with the flexible
energy minimization approach,
facilitates further extensions; such as the option of super-resolution
segmentation as well as processing
of blurred signals.
ČETVRTAK, 13.12.2012. U 15:15
Joakim Lindblad, Faculty of Technical Sciences, University of Novi Sad,
Serbia and Centre for Image Analysis, Uppsala University, Sweden
DISTANCES BETWEEN FUZZY SETS AND THEIR APPLICATIONS TO IMAGE PROCESSING
Abstract: Several studies indicate clear advantages in terms of increased
precision and robustness of
various image analysis tasks, if fuzzy spatial sets are used for object
representations, instead of
crisp ones. It is therefore of interest to further develop image
processing tools applicable to fuzzy
object representations. Distance measures and distance transforms are
among the earliest image processing
tools, used for image segmentation, object matching and pattern
recognition, image registration,
object skeletonization, image retrieval, etc.
This talk will present two novel path-based point-to-set distance measures
and a class of set-to-set
distances based on them, which are applicable to fuzzy objects. The newly
proposed distances have a number
of appealing theoretical properties, in turn making them very appropriate
for practical use. The distances
are of linear computational complexity which enables their use for
addressing large scale problems.
Performance evaluation of the set distances on real image processing tasks
confirms their excellent
performance in pattern matching (generalized to texture analysis) and
image registration tasks. This holds
well for fuzzy segmented images but also for grey level images directly
where they provide an elegant
combination of matching both shape and texture. We demonstrate the
usefulness of proposed distances for recognition of
hand written numbers as well as for finding virus particles in electron
microscopy images.
ČETVRTAK, 20.12.2012. U 15:00
Aleksandar Perovic
ČETVRTAK, 27.12.2012. U 15:00
Aleksandar Perovic
Predavanje ce biti odrzano u biblioteci MI SANU.
Beograd, 2012.