@inbook {1149, title = {An energy minimization reconstruction algorithm for multivalued discrete tomography}, booktitle = {Computational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications III}, year = {2012}, month = {2012}, pages = {179 - 185}, publisher = {CRC Press - Taylor and Frances Group}, organization = {CRC Press - Taylor and Frances Group}, type = {Conference paper}, address = {London}, abstract = {

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.

}, doi = {10.1201/b12753-1}, author = {L{\'a}szl{\'o} G{\'a}bor Varga and P{\'e}ter Bal{\'a}zs and Antal Nagy}, editor = {Paolo Di Giamberardino and Daniela Iacoviello and Renato M Natal Jorge and Joao Manuel R S Taveres} } @inbook {942, title = {Hexagonal parallel thinning algorithms based on sufficient conditions for topology preservation}, booktitle = {Computational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications III}, year = {2012}, month = {2012}, pages = {63 - 68}, publisher = {CRC Press - Taylor and Frances Group}, organization = {CRC Press - Taylor and Frances Group}, type = {Conference paper}, address = {London}, abstract = {

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.

}, isbn = {978-0-415-62134-2}, doi = {10.1201/b12753-12}, author = {P{\'e}ter Kardos and K{\'a}lm{\'a}n Pal{\'a}gyi}, editor = {Paolo Di Giamberardino and Daniela Iacoviello and Renato M Natal Jorge and Joao Manuel R S Taveres} }