Paper Info
Title
Stability results for the reconstruction of binary pictures from two projections
Abstract
In the present paper we mathematically prove several stability results concerning the problem of reconstructing binary pictures from their noisy projections taken from two directions. Stability is a major requirement in practice, because projections are often affected by noise due to the nature of measurements. Reconstruction from projections taken along more than two directions is known to be a highly unstable task. Contrasting this result we prove several theorems showing that reconstructions from two directions closely resemble the original picture when the noise level is low and the original picture is uniquely determined by its projections.
Year
DOI
Venue
2007
10.1016/j.imavis.2006.06.014
Image Vision Comput.
Keywords
Field
DocType
binary picture,uniqueness,stability result,stability,projections,noise level,image reconstruction,unstable task,noisy projection,present paper,original picture,discrete tomography,major requirement
Iterative reconstruction,Uniqueness,Pattern recognition,Discrete tomography,Noise level,Artificial intelligence,Mathematics,Binary number
Journal
Volume
Issue
ISSN
25
10
Image and Vision Computing
Citations 
PageRank 
References 
11
0.91
14
Authors
2
Name
Order
Citations
PageRank
Andreas Alpers1475.47
Sara Brunetti212216.23