Title :
Explicit determination of bounded non-additive sets of uniqueness for four X-rays
Author :
Brunetti, Sara ; Dulio, Paolo ; Peri, Carla
Author_Institution :
Dipt. di Ing. dell´Inf. e Sci. Mat., Univ. di Siena, Siena, Italy
Abstract :
An algorithm is presented which constructs bounded non-additive sets uniquely determined by discrete parallel X-rays taken along prescribed lattice directions. Examples in dimension n = 3 and n = 3 are given, and related remarks are also provided.
Keywords :
X-rays; set theory; bounded nonadditive sets; discrete parallel X-rays; lattice directions; Additives; Image reconstruction; Lattices; Polynomials; Signal processing algorithms; Tomography; X-rays; Additivity; bad-configuration; reconstruction; uniqueness; weakly bad configuration;
Conference_Titel :
Image and Signal Processing and Analysis (ISPA), 2013 8th International Symposium on
Conference_Location :
Trieste
DOI :
10.1109/ISPA.2013.6703808