The Experts below are selected from a list of 198 Experts worldwide ranked by ideXlab platform
Leonard G.c. Hamey - One of the best experts on this subject based on the ideXlab platform.
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DICTA - Simultaneous Estimation of Camera Response Function, Target Reflectance and Irradiance Values
Digital Image Computing: Techniques and Applications (DICTA'05), 2005Co-Authors: Leonard G.c. HameyAbstract:Video cameras may be used for radiometric measurement in machine vision applications including colour measurement and shape from shading. These techniques assume that the camera provides a linear measurement of light intensity. Even when the video Gamma Factor is disabled, video camera response is still often nonlinear and varies from one camera to another. We describe a method of measuring a cameras radiometric response function using unknown but stable reflectance targets and illumination. The technique does not require sophisticated equipment or precise measurement or control of physical properties. The technique simultaneously estimates the camera's radiometric response, the relative reflectance values of reflectance targets and the relative illumination levels of multiple light sources. The technique has been practically applied for colour measurement applications with an experimentally verified accuracy of 0.3%.
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Simultaneous estimation of camera response function, target reflectance and irradiance values
Proceedings of the Digital Imaging Computing: Techniques and Applications DICTA 2005, 2005Co-Authors: Leonard G.c. HameyAbstract:Video cameras may be used for radiometric measurement in machine vision applications including colour measurement and shape from shading. These techniques assume that the camera provides a linear measurement of light intensity. Even when the video Gamma Factor is disabled, video camera response is still often nonlinear and varies from one camera to another. We describe a method of measuring a camera's radiometric response function using unknown but stable reflectance targets and illumination. The technique does not require sophisticated equipment or precise measurement or control of physical properties. The technique simultaneously estimates the camera's radiometric response, the relative reflectance values of reflectance targets and the relative illumination levels of multiple light sources. The technique has been practically applied for colour measurement applications with an experimentally verified accuracy of 0.3%. © 2005 IEEE.
Masato Wakayama - One of the best experts on this subject based on the ideXlab platform.
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Higher Selberg Zeta Functions
Communications in Mathematical Physics, 2004Co-Authors: Nobushige Kurokawa, Masato WakayamaAbstract:In the paper [KW2] we introduced a new type of Selberg zeta function for establishing a certain identity among the non-trivial zeroes of the Selberg zeta function and of the Riemann zeta function. We shall call this zeta function a higher Selberg zeta function. The purpose of this paper is to study the analytic properties of the higher Selberg zeta function z _Γ( s ), especially to obtain the functional equation. We also describe the Gamma Factor of z _Γ( s ) in terms of the triple sine function explicitly and, further, determine the complete higher Selberg zeta function with having a discussion of a certain generalized zeta regularization.
Dani Szpruch - One of the best experts on this subject based on the ideXlab platform.
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Plancherel measures for coverings of p-adic SL(2,F)
arXiv: Number Theory, 2014Co-Authors: David Goldberg, Dani SzpruchAbstract:In these notes we compute the Plancherel measures associated with genuine principal series representations of n-fold covers of p-adic SL(2,F). Along the way we also compute a higher dimensional metaplectic analog of Shahidi local coefficients. Our method involves new functional equations utilizing the Tate Gamma-Factor and a metaplectic counterpart. As an application we prove an irreducibility theorem.
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On the existence of a p-adic metaplectic Tate-type $\widetilde {\Gamma}$ -Factor
The Ramanujan Journal, 2011Co-Authors: Dani SzpruchAbstract:Let $\mathbb{F}$ be a p-adic field, let χ be a character of $\mathbb{F}^{*}$ , let ψ be a character of $\mathbb{F}$ and let $\Gamma_{\psi}^{-1}$ be the normalized Weil Factor associated with a character of second degree. We prove here that one can define a meromorphic function $\widetilde{\Gamma}(\chi ,s,\psi)$ via a similar functional equation to the one used for the definition of the Tate γ -Factor replacing the role of the Fourier transform with an integration against $\psi\cdot\Gamma_{\psi}^{-1}$ . It turns out that γ and $\widetilde{\Gamma}$ have similar integral representations. Furthermore, $\widetilde{\Gamma}$ has a relation to Shahidi‘s metaplectic local coefficient which is similar to the relation γ has with (the non-metalpectic) Shahidi‘s local coefficient. Up to an exponential Factor, $\widetilde{\Gamma}(\chi,s,\psi)$ is equal to the ratio $\frac{\Gamma(\chi^{2},2s,\psi)}{\Gamma(\chi,s+\frac{1}{2},\psi)}$ .
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On the existence of a p-adic metaplectic Tate-type $\widetilde {\Gamma}$-Factor
Ramanujan Journal, 2011Co-Authors: Dani SzpruchAbstract:Let \(\mathbb{F}\) be a p-adic field, let χ be a character of \(\mathbb{F}^{*}\), let ψ be a character of \(\mathbb{F}\) and let \(\Gamma_{\psi}^{-1}\) be the normalized Weil Factor associated with a character of second degree. We prove here that one can define a meromorphic function \(\widetilde{\Gamma}(\chi ,s,\psi)\) via a similar functional equation to the one used for the definition of the Tate γ-Factor replacing the role of the Fourier transform with an integration against \(\psi\cdot\Gamma_{\psi}^{-1}\). It turns out that γ and \(\widetilde{\Gamma}\) have similar integral representations. Furthermore, \(\widetilde{\Gamma}\) has a relation to Shahidi‘s metaplectic local coefficient which is similar to the relation γ has with (the non-metalpectic) Shahidi‘s local coefficient. Up to an exponential Factor, \(\widetilde{\Gamma}(\chi,s,\psi)\) is equal to the ratio \(\frac{\Gamma(\chi^{2},2s,\psi)}{\Gamma(\chi,s+\frac{1}{2},\psi)}\).
Nobushige Kurokawa - One of the best experts on this subject based on the ideXlab platform.
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Higher Selberg Zeta Functions
Communications in Mathematical Physics, 2004Co-Authors: Nobushige Kurokawa, Masato WakayamaAbstract:In the paper [KW2] we introduced a new type of Selberg zeta function for establishing a certain identity among the non-trivial zeroes of the Selberg zeta function and of the Riemann zeta function. We shall call this zeta function a higher Selberg zeta function. The purpose of this paper is to study the analytic properties of the higher Selberg zeta function z _Γ( s ), especially to obtain the functional equation. We also describe the Gamma Factor of z _Γ( s ) in terms of the triple sine function explicitly and, further, determine the complete higher Selberg zeta function with having a discussion of a certain generalized zeta regularization.
Jo~ao Inácio Da Silva Filho - One of the best experts on this subject based on the ideXlab platform.
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Dark Energy Calculations Using the Paraquantum Gamma Factor (γPψ) on the Relativistic Energy Equation
Journal of Modern Physics, 2014Co-Authors: Jo~ao Inácio Da Silva FilhoAbstract:A Paraconsistent Logic (PL) is a non-classical logic which revokes the principle of non-Contradiction and admits the treatment of contradictory information in its theoretical structure. Paraquantum Logic (PQL) is based on a type of PL denominated Paraconsistent Annotated Logic with annotation of two values (PAL2v). The PAL2v have a representative Lattice of four vertices (Lattice FOUR) where are made interpretations with construction of Paraquantum Logical Model and equations capable computation values extract of Observable Variable measurements. The studies of the PQL are based on propagation of Paraquantum logical states ψ in a Paraquantum Universe represented by PQL-Lattice of four vertices. These studies of PQL are based in two Paraquantum Factors: the Paraquantum Gamma Factor (γPψ) that has his action in the measurements of Observable Variables in the Physical world and the Paraquantum Factor of quantization hψ, which has his action in the Paraquantum Universe. In this paper we analyze the application of Paraquantum Gamma Factor γPψ and its intrinsic characteristics that add important information into the equation of Einstein’s relativistic Energy (E = MC2). In this article were made several calculations to demonstrate the effects of applying the Paraquantum Gamma Factor (γPψ) in relativistic energy equation. It is found that the Factors of using the Paraquantum Logical Model make an adjustment in the equation of Einstein’s relativistic Energy and identify related values with recent results found for the Dark Energy and dark matter. In the Paraquantum/Relativistic Energy equation the γPψ appears as an important Factor of transition between the relativistic universe and the Newtonian Universe. The results suggest that its use would be very important in the interpretation of the behavior of other astronomical Factors as the cosmological constant and gravitation.
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Analysis of Physical Systems with Paraconsistent Annotated Logic: Introducing the Paraquantum Gamma Factor γ ψ
Journal of Modern Physics, 2011Co-Authors: Jo~ao Inácio Da Silva FilhoAbstract:In this paper we use a non-classical logic called ParaQuantum Logic (PQL) which is based on the foundations of the Paraconsistent Annotated logic with annotation of two values (PAL2v). The formalizations of the PQL concepts, which is represented by a lattice with four vertices, leads us to consider Paraquantum logical states ψ which are propagated by means of variations of the evidence Degrees extracted from measurements performed on the Observable Variables of the physical world. In this work we introduce the Paraquantum Gamma Factor γPψ which is an expansion Factor on the PQL lattice that act in the physical world and is correlated with the Paraquantum Factor of quantization hψ whose value is associated with a special logical state on the lattice which is identified with the Planck constant h. Our studies show that the behavior of the Paraquantum Gamma Factor γPψ, at the time of reading the evidence Degrees through measurements of the Observable Variables in the physical world, is identical to that one of the Lorentz Factor γ used in the relativity theory. In the final part of this paper we present results about studies of expansion and contraction of the Paraquantum Logical Model which correlate the Factors γPψ, and γ. By applying these correlation Factors, the lattice of the PQL suitable for the universe understudy can be contracted or expanded, allowing the quantization model to cover the several study fields of physics.
