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- Norbert Hantos, Péter Balázs, Kálmán Palágyi
- IWCIA
- 2012

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… (More)

- Norbert Hantos, Péter Balázs
- ISVC
- 2010

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… (More)

- Norbert Hantos, Péter Balázs
- Fundam. Inform.
- 2013

Reconstruction of binary images from their projections is one of the main tasks in many image processing areas, therefore determining the computational complexity of those problems is essential. The reconstruction complexity is highly dependent on the requirements of the image. In this paper, we will show that the reconstruction is NP-complete if the… (More)

- Norbert Hantos, Péter Balázs
- Fundam. Inform.
- 2014

- Norbert Hantos, Péter Balázs
- Fundam. Inform.
- 2015

- Norbert Hantos, Péter Balázs
- CIARP
- 2014

Beküldte Németh Gábor 2. h, 2015-01-05 11:23 Hantos N [1], Balázs P [2]. Fast Heuristics for Eliminating Switching Components in Binary Matrices by 0-1 Flips [3]. In: Bayro-Corrochano E. [4], Hancock E. [5], editors. Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications: 19th Iberoamerican Congress (CIARP). Puerto Vallarta,… (More)

- Norbert Hantos, Péter Balázs
- CIARP
- 2013

Beküldte Németh Gábor 2. k, 2014-07-22 14:55 Hantos N [1], Balázs P [2]. Reconstruction and Enumeration of hv-Convex Polyominoes with Given Horizontal Projection [3]. In: Ruiz-Shulcloper J [4], Sanniti di Baja G [5], editors. Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications (CIARP). Heidelberg; London; New York: Springer;… (More)

- Norbert Hantos, Péter Balázs
- 2013 8th International Symposium on Image and…
- 2013

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… (More)

- Norbert Hantos, Szabolcs Iván, Péter Balázs, Kálmán Palágyi
- Annals of Mathematics and Artificial Intelligence
- 2014

In binary tomography, the goal is to reconstruct binary images from a small set of their projections. This task can be underdetermined, meaning that several binary images can have the same projections, especially when only one or two projections are given. On the other hand, it is known that a binary image can be exactly reconstructed from its morphological… (More)

- Norbert Hantos, Péter Balázs
- ISVC
- 2014