Time-domain diffuse optical tomography processing by using the Mellin-Laplace transform

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...

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Bibliographic Details
Published in:Applied optics (2004) 2012-09, Vol.51 (25), p.5978-5988
Main Authors: Hervé, Lionel, Puszka, Agathe, Planat-Chrétien, Anne, Dinten, Jean-Marc
Format: Article
Language:English
Subjects:
Algorithms
Bioengineering
Computer Science
Computer Simulation
Diffusion
Imaging
Life Sciences
Mathematical analysis
Models, Theoretical
Optical data processing
Optical properties
Phantoms, Imaging
Reconstruction
Reflection
Signal and Image Processing
Tomography
Tomography, Optical - methods
Transforms
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Summary: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.
ISSN:1559-128X
2155-3165
DOI:10.1364/ao.51.005978