title: Time-domain diffuse optical tomography processing by using the Mellin-Laplace transform.
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.
authors.affiliation: Commissariat à l’Energie Atomique, Laboratoire d’Electronique et de Technologie de l’Information (CEA-LETI), Minatec, DTBS 17, rue des Martyrs, 38054 Grenoble, France. lionel.herve@cea.fr
authors.forename: Lionel
authors.initials: L
authors.lastname: Hervé
authors.forename: Agathe
authors.initials: A
authors.lastname: Puszka
authors.forename: Anne
authors.initials: A
authors.lastname: Planat-Chrétien
authors.forename: Jean-Marc
authors.initials: JM
authors.lastname: Dinten
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004058:Diffusion; D008962:Models, Theoretical; D019047:Phantoms, Imaging; D041622:Tomography, Optical / Q000379:methods*