@conference {940, title = {Bin{\'a}ris k{\'e}pek rekonstrukci{\'o}ja k{\'e}t vet{\"u}letb{\H o}l {\'e}s morfol{\'o}giai v{\'a}zb{\'o}l}, booktitle = {A K{\'e}pfeldolgoz{\'o}k {\'e}s Alakfelismer{\H o}k T{\'a}rsas{\'a}g{\'a}nak konferenci{\'a}ja - K{\'E}PAF 2013}, year = {2013}, month = {Jan 2013}, pages = {182 - 193}, publisher = {NJSZT-K{\'E}PAF}, organization = {NJSZT-K{\'E}PAF}, type = {Conference paper}, address = {Veszpr{\'e}m}, author = {Norbert Hantos and P{\'e}ter Bal{\'a}zs and K{\'a}lm{\'a}n Pal{\'a}gyi}, editor = {L{\'a}szl{\'o} Cz{\'u}ni} } @inbook {1167, title = {Reconstruction and Enumeration of hv-Convex Polyominoes with Given Horizontal Projection}, booktitle = {Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications (CIARP)}, series = {Lecture Notes in Computer Science}, number = {8258}, year = {2013}, note = {ScopusID: 84893181366doi: 10.1007/978-3-642-41822-8_13}, month = {Nov 2013}, pages = {100 - 107}, publisher = {Springer}, organization = {Springer}, type = {Conference paper}, address = {Heidelberg; London; New York}, isbn = {978-3-642-41821-1}, doi = {10.1007/978-3-642-41822-8_13}, author = {Norbert Hantos and P{\'e}ter Bal{\'a}zs}, editor = {Jose Ruiz-Shulcloper and Gabriella Sanniti di Baja} } @article {1160, title = {The reconstruction of polyominoes from horizontal and vertical projections and morphological skeleton is NP-complete}, journal = {FUNDAMENTA INFORMATICAE}, volume = {125}, year = {2013}, note = {UT: 000322028300009ScopusID: 84881495517doi: 10.3233/FI-2013-868}, month = {2013}, pages = {343 - 359}, type = {Journal article}, isbn = {0169-2968}, author = {Norbert Hantos and P{\'e}ter Bal{\'a}zs} } @conference {1164, title = {A uniqueness result for reconstructing hv-convex polyominoes from horizontal and vertical projections and morphological skeleton}, booktitle = {Proceedings of International Symposium on Image and Signal Processing and Analysis (ISPA)}, year = {2013}, month = {Sep 2013}, pages = {788 - 793}, publisher = {IEEE}, organization = {IEEE}, type = {Conference paper}, address = {Trieste}, abstract = {

In this article we study the uniqueness of the reconstruction in a special class of 4-connected hv-convex images, using two projections and the so-called morphological skeleton. Generally, if just the two projections are given, there can be exponentially many hv-convex 4-connected images satisfying them. Knowing the morphological skeleton in addition, we can reduce the number of solutions. In the studied class, the images are defined by two parameters. We show that the uniqueness of their reconstruction depends only on the values of those parameters.

}, doi = {10.1109/ISPA.2013.6703845}, author = {Norbert Hantos and P{\'e}ter Bal{\'a}zs}, editor = {Giovanni Ramponi and Sven Lon{\v c}ari{\'c} and Alberto Carini and Karen Egiazarian} } @inbook {1153, title = {Binary image reconstruction from two projections and skeletal information}, booktitle = {Combinatorial Image Analysis}, series = {Lecture Notes in Computer Science}, number = {7655}, year = {2012}, note = {ScopusID: 84869986820doi: 10.1007/978-3-642-34732-0_20}, month = {Nov 2012}, pages = {263 - 273}, publisher = {Springer Verlag}, organization = {Springer Verlag}, type = {Conference paper}, address = {Berlin; Heidelberg; New York; London; Paris; Tokyo}, abstract = {

In binary tomography, the goal is to reconstruct binary images from a small set of their projections. However, especially when only two projections are used, the task can be extremely underdetermined. In this paper, we show how to reduce ambiguity by using the morphological skeleton of the image as a priori. Three different variants of our method based on Simulated Annealing are tested using artificial binary images, and compared by reconstruction time and error. {\textcopyright} 2012 Springer-Verlag.

}, doi = {10.1007/978-3-642-34732-0_20}, author = {Norbert Hantos and P{\'e}ter Bal{\'a}zs and K{\'a}lm{\'a}n Pal{\'a}gyi}, editor = {Reneta P Barneva and Valentin E Brimkov and Jake K Aggarwal} } @conference {1145, title = {Binary tomography using two projections and morphological skeleton}, booktitle = {Conference of PhD Students in Computer Science}, volume = {Volume of Extended Abstracts}, year = {2012}, month = {June 2012}, pages = {20}, publisher = {Univ Szeged Institute of Informatics}, organization = {Univ Szeged Institute of Informatics}, address = {Szeged}, author = {Norbert Hantos and P{\'e}ter Bal{\'a}zs and K{\'a}lm{\'a}n Pal{\'a}gyi} } @conference {1154, title = {Solving binary tomography from morphological skeleton via optimization}, booktitle = {Veszpr{\'e}m Optimization Conference: Advanced Algorithms (VOCAL)}, year = {2012}, month = {Dec 2012}, pages = {42}, publisher = {University of Pannonia}, organization = {University of Pannonia}, type = {Conference paper}, address = {Veszpr{\'e}m}, author = {Norbert Hantos and P{\'e}ter Bal{\'a}zs and K{\'a}lm{\'a}n Pal{\'a}gyi} } @conference {1129, title = {Medi{\'a}nsz{\H u}r{\'e}s alkalmaz{\'a}sa algebrai rekonstrukci{\'o}s m{\'o}dszerekben}, booktitle = {A K{\'e}pfeldolgoz{\'o}k {\'e}s Alakfelismer{\H o}k T{\'a}rsas{\'a}g{\'a}nak konferenci{\'a}ja - K{\'E}PAF 2011}, year = {2011}, month = {Jan 2011}, pages = {106 - 116}, publisher = {NJSZT}, organization = {NJSZT}, type = {Conference paper}, address = {Szeged}, author = {Norbert Hantos and P{\'e}ter Bal{\'a}zs}, editor = {Zoltan Kato and K{\'a}lm{\'a}n Pal{\'a}gyi} } @inbook {1119, title = {Image enhancement by median filters in algebraic reconstruction methods: an experimental study}, booktitle = {Advances in Visual Computing}, series = {Lecture Notes in Computer Science}, number = {6455}, year = {2010}, note = {UT: 000290358400035ScopusID: 78650793785doi: 10.1007/978-3-642-17277-9_35}, month = {Nov-Dec 2010}, pages = {339 - 348}, publisher = {Springer Verlag}, organization = {Springer Verlag}, type = {Conference paper}, address = {Las Vegas, NV, USA}, abstract = {

Algebraic methods for image reconstruction provide good solutions even if only few projections are available. However, they can create noisy images if the number of iterations or the computational time is limited. In this paper, we show how to decrease the effect of noise by using median filters during the iterations. We present an extensive study by applying filters of different sizes and in various times of the reconstruction process. Also, our test images are of different structural complexity. Our study concentrates on the ART and its discrete variant DART reconstruction methods.

}, isbn = {978-3-642-17276-2}, doi = {10.1007/978-3-642-17277-9_35}, author = {Norbert Hantos and P{\'e}ter Bal{\'a}zs}, editor = {George Bebis and Richard Boyle and Bahram Parvin and Darko Koracin and Ronald Chung and Riad Hammound and Muhammad Hussain and Tan Kar-Han and Roger Crawfis and Daniel Thalmann and David Kao and Lisa Avila} } @conference {1122, title = {Median filtering in algebraic reconstruction methods}, booktitle = {Conference of PhD Students in Computer Science. Volume of Extended Abstracts.}, year = {2010}, month = {June 2010}, pages = {36}, publisher = {University of Szeged}, organization = {University of Szeged}, type = {Abstract}, address = {Szeged, Hungary}, author = {Norbert Hantos and P{\'e}ter Bal{\'a}zs} }