Abstract

We investigate the use of the Mellin–Laplace transform for reconstructing optical parameters from time-resolved optical tomography in diffusive media. We present here its definition, its mathematical properties, and its sensitivity to variations of optical properties. The method was validated on two-dimensional reconstructions from simulation in the reflection geometry. We conclude that reconstructions based on the Mellin–Laplace transform are more robust to noise than the methods using first moments.

© 2012 Optical Society of America

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