Image reconstruction in optical tomography using Radon transform and its inverse

Viorel Petrehus; Camelia Gavrila; Ion Gruia

doi:10.1117/12.849499

31 December 2009 Image reconstruction in optical tomography using Radon transform and its inverse

Viorel Petrehus, Camelia Gavrila, Ion Gruia

Proceedings Volume 7388, Ninth International Conference on Correlation Optics; 738818 (2009) https://doi.org/10.1117/12.849499
Event: Correlation Optics 2009, 2009, Chernivsti, Ukraine

Abstract

Optical tomography is a new medical imaging modality that is at the threshold of realization. A large amount of clinical work has shown the very real benefits that such a method could provide. At the same time a considerable effort has been put into theoretical studies of its probable success. At present there exist gaps between these two realms. In this paper we review some general approaches to inverse problems to set the context for optical tomography. An essential requirement is to treat the problem in a nonlinear fashion, by using an iterative method. The inverse problem is approached by numerical solutions methods using MathCad program. The Radon transform is the basic tool of the computerized tomography. In the sequel we introduce this transform, review some properties and present a numerical program for its inversion. We show some results that represent the most complex and realistic simulations of optical tomography yet developed.

Citation Download Citation

Viorel Petrehus, Camelia Gavrila, and Ion Gruia "Image reconstruction in optical tomography using Radon transform and its inverse", Proc. SPIE 7388, Ninth International Conference on Correlation Optics, 738818 (31 December 2009); https://doi.org/10.1117/12.849499

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