An efficient approach for limited-data chemical species tomography and its error bounds

• Published in: Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Vol. 472; no. 2187; p. 20150875
• Main Authors: Polydorides, N., Tsekenis, S.-A., McCann, H., Prat, V.-D. A., Wright, P.
• Format: Journal Article
• Language: English
• Published: England The Royal Society Publishing 01-03-2016
• Subjects: Image Reconstruction; Regularization; Tomography; tomography; regularization; image reconstruction
• ISSN: 1364-5021; 1471-2946
• DOI: 10.1098/rspa.2015.0875

We present a computationally efficient reconstruction method for the limited-data chemical species tomography problem that incorporates projection of the unknown gas concentration function onto a low-dimensional subspace, and regularization using prior information obtained from a simple flow model. In this context, the contribution of this work is on the analysis of the projection-induced data errors and the calculation of bounds for the overall image error incorporating the impact of projection and regularization errors as well as measurement noise. As an extension to this methodology, we present a variant algorithm that preserves the positivity of the concentration image.