Multiple polynomial regression method for determination of biomedical optical properties from integrating sphere measurements

Dam, Jan S.; Dalgaard, Torben; Fabricius, Paul Erik; Andersson‐Engels, Stefan

doi:10.1364/ao.39.001202

Cited by 59 publications

(40 citation statements)

References 19 publications

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“…27 The results from that investigation showed that the relative difference between the measured values of s Ј and the predicted ͑by Mie theory͒ values of s Ј was on average 1.7%. The method used to extract the optical properties, the MPR method based on Monte Carlo simulations, can also be regarded as state of the art in terms of inverse algorithms for integrating-sphere measurements.…”

Section: Discussionmentioning

confidence: 93%

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Comparison of spatially and temporally resolved diffuse-reflectance measurement systems for determination of biomedical optical properties

2003

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Time-resolved and spatially resolved measurements of the diffuse reflectance from biological tissue are two well-established techniques for extracting the reduced scattering and absorption coefficients. We have performed a comparison study of the performance of a spatially resolved and a time-resolved instrument at wavelengths 660 and 785 nm and also of an integrating-sphere setup at 550 -800 nm. The first system records the diffuse reflectance from a diode laser by means of a fiber bundle probe in contact with the sample. The time-resolved system utilizes picosecond laser pulses and a single-photoncounting detection scheme. We extracted the optical properties by calibration using known standards for the spatially resolved system, by fitting to the diffusion equation for the time-resolved system, and by using an inverse Monte Carlo model for the integrating sphere. The measurements were performed on a set of solid epoxy tissue phantoms. The results showed less than 10% difference in the evaluation of the reduced scattering coefficient among the systems for the phantoms in the range 9 -20 cm Ϫ1, and absolute differences of less than 0.05 cm Ϫ1 for the absorption coefficient in the interval 0.05-0.30 cm Ϫ1.

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Section: Discussionmentioning

confidence: 93%

“…Unlike in the method described in Ref. 27, which used a fixed value of g, three-dimensional rather than twodimensional polynomials were used in the regression. Because of the limited sizes of the ports of the integrating sphere, there were losses of light at the outer parts of the sample.…”

Section: B Determination Of Optical Propertiesmentioning

confidence: 99%

Comparison of spatially and temporally resolved diffuse-reflectance measurement systems for determination of biomedical optical properties

2003

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“…The absorption of the phantom is due to the bovine blood. The absorption coefficient and reduced scattering coefficient of the two phantom solutions were evaluated using an integrating sphere setup [19]. The absorption coefficient and reduced scattering coefficient can be seen in Fig.…”

Section: Tissue Phantommentioning

confidence: 99%

Spatially varying regularization based on spectrally resolved fluorescence emission in fluorescence molecular tomography

Axelsson¹,

Svensson²,

Andersson‐Engels³

2007

Opt. Express

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Abstract:Fluorescence molecular tomography suffers from being mathematically ill-conditioned resulting in non-unique solutions to the reconstruction problem. In an attempt to reduce the number of possible solutions in the underdetermined system of equations in the reconstruction, we present a method to retrieve a spatially varying regularization map outlining the feasible inclusion position. This approach can be made very simple by including a few multispectral recordings from only one source position. The results retrieved through tissue phantom experiments imply that initial reconstructions with spatially varying priors reduces artifacts and show slightly more accurate reconstruction results compared to reconstructions using no priors.

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“…Integrating sphere (IS) measurements [15][16][17] are widely used as a reference method for determination of a , s , and g for relatively thin turbid samples. Here, the optical properties are extracted from measurements of the total diffuse reflectance R tot and the total diffuse transmittance T tot of either a solid slab or a suspension in a cuvette.…”

Section: Introductionmentioning

confidence: 99%

“…We first describe the geometric configuration of the setup and the principles of the applied multivariate calibration and prediction techniques, which are based on the so-called multiple polynomial regression (MPR) 17 in conjunction with a Newton-Raphson (N-R) algorithm. 19 Then, using Monte Carlo (MC) simulated data, 20 we show how the optical properties can be determined from four (or less) combined recordings of the angularly resolved transmittance, the spatially resolved diffuse transmittance, and the spatially resolved diffuse reflectance of the sample.…”

Section: Introductionmentioning

confidence: 99%

Real-time absorption and scattering characterization of slab-shaped turbid samples obtained by a combination of angular and spatially resolved measurements

Dam¹,

Yavari²,

Sörensen

et al. 2005

Appl. Opt.

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General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal Real-time absorption and scattering characterization of slab-shaped turbid samples obtained by a combination of angular and spatially resolved measurementsJan S. Dam, Nazila Yavari, Søren Sørensen, and Stefan Andersson-EngelsWe present a fast and accurate method for real-time determination of the absorption coefficient, the scattering coefficient, and the anisotropy factor of thin turbid samples by using simple continuous-wave noncoherent light sources. The three optical properties are extracted from recordings of angularly resolved transmittance in addition to spatially resolved diffuse reflectance and transmittance. The applied multivariate calibration and prediction techniques are based on multiple polynomial regression in combination with a Newton-Raphson algorithm. The numerical test results based on Monte Carlo simulations showed mean prediction errors of approximately 0.5% for all three optical properties within ranges typical for biological media. Preliminary experimental results are also presented yielding errors of approximately 5%. Thus the presented methods show a substantial potential for simultaneous absorption and scattering characterization of turbid media.

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Multiple polynomial regression method for determination of biomedical optical properties from integrating sphere measurements

Cited by 59 publications

References 19 publications

Comparison of spatially and temporally resolved diffuse-reflectance measurement systems for determination of biomedical optical properties

Comparison of spatially and temporally resolved diffuse-reflectance measurement systems for determination of biomedical optical properties

Spatially varying regularization based on spectrally resolved fluorescence emission in fluorescence molecular tomography

Real-time absorption and scattering characterization of slab-shaped turbid samples obtained by a combination of angular and spatially resolved measurements

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