Markov models of integrating spheres for hyperspectral imaging.

Theoretical models of the signal detected by a CCD camera during hyperspectral imaging with an integrating sphere are derived using Markov chains with absorbing states. The models provide analytical expressions that describe the real reflectance of the sample as a function of the detected signal at each pixel of the image. Validation of the models was done by using reflectance standards and tissue phantoms. The models provide accurate analytical solutions for samples and spheres that are near-Lambertian reflectors.

[1]  Renato Marchesini,et al.  Development of simulated pigmented lesions in an optical skin-tissue phantom: Experimental measurements in the visible and near infrared , 2002 .

[2]  M S Patterson,et al.  Why do veins appear blue? A new look at an old question. , 1996, Applied optics.

[3]  R. Steiner,et al.  Spatially resolved absolute diffuse reflectance measurements for noninvasive determination of the optical scattering and absorption coefficients of biological tissue. , 1996, Applied optics.

[4]  Richard F. Gunst,et al.  Applied Regression Analysis , 1999, Technometrics.

[5]  D. G. Goebel Generalized integrating-sphere theory. , 1967, Applied optics.

[6]  R Marchesini,et al.  A phantom with tissue‐like optical properties in the visible and near infrared for use in photomedicine , 2001, Lasers in surgery and medicine.

[7]  Arnold W. M. Smeulders,et al.  Color Invariant Edge Detection , 1999, Scale-Space.

[8]  Dean Isaacson,et al.  Markov Chains: Theory and Applications , 1976 .

[9]  Henricus J. C. M. Sterenborg,et al.  Two integrating spheres with an intervening scattering sample , 1992 .

[10]  J. Pickering,et al.  Double-integrating-sphere system for measuring the optical properties of tissue. , 1993, Applied optics.

[11]  L M Hanssen Effects of non-Lambertian surfaces on integrating sphere measurements. , 1996, Applied optics.

[12]  L. Hanssen,et al.  Monte Carlo modeling of an integrating sphere reflectometer. , 2003, Applied optics.

[13]  S L Jacques,et al.  Fluorescence spectroscopy of tissue: recovery of intrinsic fluorescence from measured fluorescence. , 1996, Applied optics.

[14]  J. S. Dam,et al.  Multiple polynomial regression method for determination of biomedical optical properties from integrating sphere measurements. , 2000, Applied optics.

[15]  B G Crowther Computer modeling of integrating spheres. , 1996, Applied optics.