6533b85dfe1ef96bd12be058

RESEARCH PRODUCT

The stability problem and noisy projections in discrete tomography

Cesare ValentiV. Di Gesu

subject

Reverse engineeringMathematical optimizationSettore INF/01 - InformaticaComputer scienceRegular polygonBinary numbercomputer.software_genreLanguage and LinguisticsComputer Science ApplicationsHuman-Computer InteractionRobustness (computer science)Tomographynoisy projectionscomputerDiscrete tomographydiscrete tomography

description

Abstract The new field of research of discrete tomography will be described in this paper. It differs from standard computerized tomography in the reduced number of projections. It needs ad hoc algorithms which usually are based on the definition of the model of the object to reconstruct. The main problems will be introduced and an experimental simulation will prove the robustness of a slightly modified version of a well known method for the reconstruction of binary planar convex sets, even in case of projections affected by error. To the best of our knowledge this is one of the first experimental study of the stability problem with a statistical approach. Prospective applications include crystallography, quality control and reverse engineering while biomedical tests, due to their important role, still require further research.

yearjournalcountryeditionlanguage
2004-10-01
10.1016/j.jvlc.2003.10.003http://hdl.handle.net/10447/15741