Inverse method analysis in optothermal skin measurements

We present a new scheme for the inverse analysis of opto- thermal transients that is able to calculate initial temperature profiles from noisy data, despite the ill- conditioning. It is particularly useful for tackling problems where the inhomogeneities of the sample are insufficiently well understood, such as the diffusion of externally applied substances through skin or skin pigment depth profiling. We present the mathematical approach, supported with examples of analyses of in-vivo opto-thermal measurements.

[1]  S L Jacques,et al.  Pulsed photothermal radiometry of port-wine-stain lesions. , 1993, Applied optics.

[2]  Nailong Wu.  The Maximum Entropy Method , 1997 .

[3]  R. Anderson,et al.  Determination of optical properties of turbid media using pulsed photothermal radiometry , 1992, Physics in medicine and biology.

[4]  C. R. Smith,et al.  Maximum-Entropy and Bayesian Methods in Inverse Problems , 1985 .

[5]  S. Gull,et al.  Image reconstruction from incomplete and noisy data , 1978, Nature.

[6]  P. Hansen.  Numerical tools for analysis and solution of Fredholm integral equations of the first kind , 1992 .

[7]  Guang Zhu.  Application of a Three-Dimensional Maximum-Entropy Method to Processing Sections of Three-Dimensional NMR Spectra , 1996 .

[8]  G. Eccleston,et al.  In-vivo opto-thermal measurement of epidermal thickness , 1994 .

[9]  J. Skilling,et al.  Algorithms and Applications , 1985 .

[10]  J. Skilling,et al.  Maximum-entropy and Bayesian methods in inverse problems , 1985 .

[11]  B. S. Tanenbaum,et al.  Depth profiling of laser-heated chromophores in biological tissues by pulsed photothermal radiometry. , 1995, Journal of the Optical Society of America. A, Optics, image science, and vision.

[12]  Peng Xiao,et al.  Optothermal skin-water concentration gradient measurement , 1996, Photonics West.

[13]  Aleksander Siemiarczuk,et al.  Recovery Of Fluorescence Lifetime Distributions Generated By Heterogeneous Systems , 1989, Photonics West - Lasers and Applications in Science and Engineering.