Retrieval of Temperature and Concentration Profiles From Absorption Measurements with Error

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Abstract
The widely used methods for obtaining the inverse of the Radon transform, the underlying reconstruction problem in the determination of temperature and species concentralion profiles from absorption measurements, have been developed for medical imaging appticaitons and are not well-suited for limited data set problems. The application of a new method, that is especially suited for limited data problems involving smooth distributions, to this retrieval problem has been previously reported. Performance of the new method with error containing absorption data is studied with regard to the stability and accuracy of the retrieved temperature and concentration profiles. Test results demonstrating the superiority of this new method over the convolution backprojection method, a widely used benchmark for the discrete data set inverse Radon transform problem, are presented.