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- Kálmán Palágyi, Attila Kuba
- Graphical Models and Image Processing
- 1999

Thinning on binary images is an iterative layer by layer erosion until only the " skeletons " of the objects are left. This paper presents an efficient parallel thinning algorithm which produces either curve skeletons or surface skeletons from 3D binary objects. It is important that a curve skeleton is extracted directly (i.e., without creating a surface… (More)

- Kálmán Palágyi, Attila Kuba
- Pattern Recognition Letters
- 1998

Thinning is a frequently used method for extracting skeletons in discrete spaces. This paper presents an efficient parallel Ž thinning algorithm that directly extracts medial lines from elongated 3D binary objects i.e., without creating medial. surface. Our algorithm provides good results, preserves topology and it is easy to implement. q 1998 Elsevier… (More)

In this chapter we present an algebraic theory of patterns which can be applied in discrete tomography for any dimension. We use that the difference of two such patterns yields a configuration with vanishing line sums. We show by introducing generating polynomials and applying elementary properties of polyno-mials that such so-called switching… (More)

- Kálmán Palágyi, Erich Sorantin, +4 authors Klaus Hausegger
- IPMI
- 2001

Skeleton is a frequently applied shape feature to represent the general form of an object. Thinning is an iterative object reduction technique for producing a reasonable approximation to the skeleton in a topology preserving way. This paper describes a sequential 3D thinning algorithm for extracting medial lines of objects in (26, 6) pictures. Our algorithm… (More)

- J Kivijärvi, T Ojala, T Kaukoranta, A Kuba, L Nyúl, O Nevalainen
- Computerized medical imaging and graphics : the…
- 1998

In this work, lossless grayscale image compression methods are compared on a medical image database. The database contains 10 different types of images with bit rates varying from 8 to 16 bits per pixel. The total number of test images was about 3000, originating from 125 different patient studies. Methods used for compressing the images include seven… (More)

- Kálmán Palágyi, Attila Kuba
- DGCI
- 1999

Thinning of a binary object is an iterative layer by layer erosion to extract an approximation to its skeleton. In order to provide topology preservation, different thinning techniques have been proposed. One of them is the directional (or border sequential) approach in which each iteration step is subdivided into subiterations where only border points of… (More)

- Gabor T. Herman, Attila Kuba
- Proceedings of the IEEE
- 2003

- Attila Kuba, Maurice Nivat
- DGCI
- 2000

The uniqueness problem is considered when binary matrices are to be reconstructed from their absorbed row and column sums. Let the absorption coefficient µ be selected such that e µ = (1 + √ 5)/2. Then it is proved that if a binary matrix is non-uniquely determined, then it contains a special pattern of 0s and 1s called composition of alternatively… (More)

- Attila Kuba, Gabor T. Herman, Samuel Matej, Andrew Todd-Pokropek
- Discrete Mathematical Problems with Medical…
- 1999

- Ron Aharoni, Gabor T. Herman, Attila Kuba
- Discrete Mathematics
- 1997