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001-es BibID:	BIBFORM067005
Első szerző:	Brunetti, Sara
Cím:	Ghosts in Discrete Tomography / Sara Brunetti, Paolo Dulio, Lajos Hajdu, Carla Peri
Dátum:	2015
ISSN:	0924-9907
Megjegyzések:	Switching components, also named as bad configurations, interchanges, and ghosts (according to different scenarios), play a key role in the study of ambiguous configurations, which often appear in Discrete Tomography and in several other areas of research. In this paper we give an upper bound for the minimal size bad configurations associated to a given set SS of lattice directions. In the special but interesting case of four directions, we show that the general argument can be considerably improved, and we present an algebraic method which provides such an improvement. Moreover, it turns out that finding bad configurations is in fact equivalent to finding multiples of a suitable polynomial in two variables, having only coefficients from the set {1,0,1}{1,0,1} . The general problem of describing all polynomials having such multiples seems to be very hard (Borwein and Erdélyi, in Ill J Math 41(4):667?675, 1997). However, in our particular case, it is hopeful to give some kind of solution. In the context of Digital Image Analysis, it represents an explicit method for the construction of ghosts, and consequently might be of interest in image processing, also in view of efficient algorithms to encode data.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban Bad configuration Discrete Tomography Generating function Ghost X-ray
Megjelenés:	Journal of Mathematical Imaging and Vision 53 : 2 (2015), p. 210-224. -
További szerzők:	Dulio, Paolo Hajdu Lajos (1968-) (matematikus) Peri, Carla
Pályázati támogatás:	OTKA-100339 OTKA OTKA-NK101680 OTKA TÁMOP-4.2.2.C-11/1/KONV-2012-0001 TÁMOP
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