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Auxiliary Function

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Kenjiro Yanagi – One of the best experts on this subject based on the ideXlab platform.

  • Concavity of the Auxiliary Function appearing in quantum reliability Function
    IEEE Transactions on Information Theory, 2006
    Co-Authors: Jun Ichi Fujii, R. Nakamoto, Kenjiro Yanagi

    Abstract:

    Reliability Functions characterize the asymptotic behavior of the error probability for transmission of data on a channel. Holevo introduced the quantum channel, and gave an expression for a random-coding lower bound involving an Auxiliary Function. Holevo, Ogawa, and Nagaoka conjectured that this Auxiliary Function is concave. Here we give a proof of this conjecture.

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  • Remarks on concavity of the Auxiliary Function appearing in quantum reliability Function
    IEEE International Symposium on Information Theory 2003. Proceedings., 2003
    Co-Authors: Kenjiro Yanagi, Shigeru Furuichi, Ken Kuriyama

    Abstract:

    Concavity of the Auxiliary Function which appears in the random coding exponent as the lower bound of the quantum reliability Function for general quantum states is proved for 0/spl les/s/spl les/1 in two dimensional case.

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Ken Kuriyama – One of the best experts on this subject based on the ideXlab platform.

  • Remarks on concavity of the Auxiliary Function appearing in quantum reliability Function
    IEEE International Symposium on Information Theory 2003. Proceedings., 2003
    Co-Authors: Kenjiro Yanagi, Shigeru Furuichi, Ken Kuriyama

    Abstract:

    Concavity of the Auxiliary Function which appears in the random coding exponent as the lower bound of the quantum reliability Function for general quantum states is proved for 0/spl les/s/spl les/1 in two dimensional case.

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Mady Elias – One of the best experts on this subject based on the ideXlab platform.

  • Skin color modeling using the radiative transfer equation solved by the Auxiliary Function method: inverse problem
    Journal of the Optical Society of America. A Optics Image Science and Vision, 2008
    Co-Authors: Caroline Magnain, Mady Elias, Jean-marc Frigerio

    Abstract:

    In a previous article [J. Opt. Soc. Am. A 24, 2196 (2007)] we have modeled skin color using the radiative transfer equation, solved by the Auxiliary Function method. Three main parameters have been determined as being predominant in the diversity of skin color: the concentrations of melanosomes and of red blood cells and the oxygen saturation of blood. From the reflectance spectrum measured on real Caucasian skin, these parameters are now evaluated by minimizing the standard deviation on the adjusted wavelength range between the experimental spectrum and simulated spectra gathered in a database. (C) 2008 Optical Society of America.

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  • Color modeling of stratified pictorial layers using the radiative transfer equation solved by the Auxiliary Function method
    Journal of the Optical Society of America. A Optics Image Science and Vision, 2007
    Co-Authors: Gael Latour, Mady Elias, Jean-marc Frigerio

    Abstract:

    The diffuse reflectance spectra and the trichromatic coordinates of diffusing stratified paints are modeled. Each layer contains its own pigments, and their optical properties are first determined from experiments. The radiative transfer equation is then solved by the Auxiliary Function method for modeling the total light scattered by the stratified systems. The results are in good agreement with experimental spectra and validate the modeling. The calculations are then applied on the same stratified systems to study the influence of the observation angle in a bidirectional configuration and to study the influence of the thickness of the layers in a given configuration. In both cases, the reflectance spectra and the trichromatic coordinates are calculated and compared.

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  • skin color modeling using the radiative transfer equation solved by the Auxiliary Function method
    Journal of The Optical Society of America A-optics Image Science and Vision, 2007
    Co-Authors: Caroline Magnain, Mady Elias, Jean-marc Frigerio

    Abstract:

    The Auxiliary Function method is an efficient technique for solving the radiative tranfer equation without adding any assumption and was applied until now only for theoretical stratified media. The first application (to our knowledge) of the method to a real case, the human skin, is presented. This makes it possible to validate the method by comparing model results with experimental reflectance spectra of real skin. An excellent agreement is obtained for a multilayer model of the skin made of 22 sublayers and taking into account the anisotropic phase Function of the scatterers. Thus there is the opportunity to develop interest in such models by quantitatively evaluating the influence of the parameters commonly used in the literature that modify skin color, such as the concentration of the scatterers and the thickness of each sublayer.

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