TY - CHAP T1 - An energy minimization reconstruction algorithm for multivalued discrete tomography T2 - Computational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications III Y1 - 2012 A1 - László Gábor Varga A1 - Péter Balázs A1 - Antal Nagy ED - Paolo Di Giamberardino ED - Daniela Iacoviello ED - Renato M Natal Jorge ED - Joao Manuel R S Taveres AB -

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.

JF - Computational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications III PB - CRC Press - Taylor and Frances Group CY - London ER - TY - CHAP T1 - Hexagonal parallel thinning algorithms based on sufficient conditions for topology preservation T2 - Computational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications III Y1 - 2012 A1 - Péter Kardos A1 - Kálmán Palágyi ED - Paolo Di Giamberardino ED - Daniela Iacoviello ED - Renato M Natal Jorge ED - Joao Manuel R S Taveres AB -

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.

JF - Computational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications III PB - CRC Press - Taylor and Frances Group CY - London SN - 978-0-415-62134-2 ER -