%0 Book Section %B Computational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications III %D 2012 %T An energy minimization reconstruction algorithm for multivalued discrete tomography %A László Gábor Varga %A Péter Balázs %A Antal Nagy %E Paolo Di Giamberardino %E Daniela Iacoviello %E Renato M Natal Jorge %E Joao Manuel R S Taveres %X

We propose a new algorithm for multivalued discrete tomography, that reconstructs images from few projections by approximating the minimum of a suitably constructed energy function with a deterministic optimization method. We also compare the proposed algorithm to other reconstruction techniques on software phantom images, in order to prove its applicability.

%B Computational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications III %I CRC Press - Taylor and Frances Group %C London %P 179 - 185 %8 2012 %G eng %9 Conference paper %R 10.1201/b12753-1 %0 Book Section %B Computational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications III %D 2012 %T Hexagonal parallel thinning algorithms based on sufficient conditions for topology preservation %A Péter Kardos %A Kálmán Palágyi %E Paolo Di Giamberardino %E Daniela Iacoviello %E Renato M Natal Jorge %E Joao Manuel R S Taveres %X

Thinning is a well-known technique for producing skeleton-like shape features from digital
binary objects in a topology preserving way. Most of the existing thinning algorithms presuppose that the input
images are sampled on orthogonal grids.This paper presents new sufficient conditions for topology preserving
reductions working on hexagonal grids (or triangular lattices) and eight new 2D hexagonal parallel thinning
algorithms that are based on our conditions.The proposed algorithms are capable of producing both medial lines
and topological kernels as well.

%B Computational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications III %I CRC Press - Taylor and Frances Group %C London %P 63 - 68 %8 2012 %@ 978-0-415-62134-2 %G eng %9 Conference paper %R 10.1201/b12753-12