Sampling bounds for 2-D vector field tomography

Giannakidis, A. ORCID: 0000-0001-7403-923X and Petrou, M., 2010. Sampling bounds for 2-D vector field tomography. Journal of Mathematical Imaging and Vision, 37 (2), pp. 151-165. ISSN 0924-9907

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The tomographic mapping of a 2-D vector field from line-integral data in the discrete domain requires the uniform sampling of the continuous Radon domain parameter space. In this paper we use sampling theory and derive limits for the sampling steps of the Radon parameters, so that no information is lost. It is shown that if Δx is the sampling interval of the reconstruction region and xmax is the maximum value of domain parameter x, the steps one should use to sample Radon parameters ρ and θ should be: Δρ≤ Δx/√2 and Δθ≤Δx/((√2+2)|xmax|). Experiments show that when the proposed sampling bounds are violated, the reconstruction accuracy of the vector field deteriorates. We further demonstrate that the employment of a scanning geometry that satisfies the proposed sampling requirements also increases the resilience to noise.

Item Type: Journal article
Publication Title: Journal of Mathematical Imaging and Vision
Creators: Giannakidis, A. and Petrou, M.
Publisher: Springer
Date: June 2010
Volume: 37
Number: 2
ISSN: 0924-9907
198Publisher Item Identifier
Divisions: Schools > School of Science and Technology
Record created by: Linda Sullivan
Date Added: 15 Mar 2018 10:04
Last Modified: 15 Mar 2018 10:04

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