The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
David J. Heeger - One of the best experts on this subject based on the ideXlab platform.
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robust Anisotropic diffusion
IEEE Transactions on Image Processing, 1998Co-Authors: Michael J. Black, David H. Marimont, Guillermo Sapiro, David J. HeegerAbstract:Relations between Anisotropic diffusion and robust statistics are described in this paper. Specifically, we show that Anisotropic diffusion can be seen as a robust estimation procedure that estimates a piecewise smooth image from a noisy input image. The "edge-stopping" function in the Anisotropic diffusion equation is closely related to the error norm and influence function in the robust estimation framework. This connection leads to a new "edge-stopping" function based on Tukey's biweight robust estimator that preserves sharper boundaries than previous formulations and improves the automatic stopping of the diffusion. The robust statistical interpretation also provides a means for detecting the boundaries (edges) between the piecewise smooth regions in an image that has been smoothed with Anisotropic diffusion. Additionally, we derive a relationship between Anisotropic diffusion and regularization with line processes. Adding constraints on the spatial organization of the line processes allows us to develop new Anisotropic diffusion equations that result in a qualitative improvement in the continuity of edges.
Qingchao Shang - One of the best experts on this subject based on the ideXlab platform.
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calculation of radiation forces exerted on a uniaxial Anisotropic sphere by an off axis incident gaussian beam
Optics Express, 2011Co-Authors: Qingchao ShangAbstract:Using the theory of electromagnetic scattering of a uniaxial Anisotropic sphere, we derive the analytical expressions of the radiation forces exerted on a uniaxial Anisotropic sphere by an off-axis incident Gaussian beam. The beam's propagation direction is parallel to the primary optical axis of the Anisotropic sphere. The effects of the permittivity tensor elements e(t) and e(z) on the axial radiation forces are numerically analyzed in detail. The two transverse components of radiation forces exerted on a uniaxial Anisotropic sphere, which is distinct from that exerted on an isotropic sphere due to the two eigen waves in the uniaxial Anisotropic sphere, are numerically studied as well. The characteristics of the axial and transverse radiation forces are discussed for different radii of the sphere, beam waist width, and distances from the sphere center to the beam center of an off-axis Gaussian beam. The theoretical predictions of radiation forces exerted on a uniaxial Anisotropic sphere are hoped to provide effective ways to achieve the improvement of optical tweezers as well as the capture, suspension, and high-precision delivery of Anisotropic particles.
Beatrice Vedel - One of the best experts on this subject based on the ideXlab platform.
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an optimality result about sample path properties of operator scaling gaussian random fields
arXiv: Probability, 2013Co-Authors: Marianne Clausel, Beatrice VedelAbstract:We study the sample paths properties of Operator scaling Gaus- sian random elds. Such elds are Anisotropic generalizations of Anisotropic self-similar random elds as Anisotropic Fractional Brownian Motion. Some characteristic properties of the anisotropy are revealed by the regularity of the sample paths. The sharpest way of measuring smoothness is related to these anisotropies and thus to the geometry of these elds.
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an optimality results about sample paths properties of operator scaling gaussian random fields in Anisotropic besov spaces
Annals of the University of Bucharest. Mathematical series, 2013Co-Authors: Marianne Clausel, Beatrice VedelAbstract:We study the sample paths properties of Operator scaling Gaussian random fields. Such fields are Anisotropic generalizations of Anisotropic self-similar random fields as Anisotropic Fractional Brownian Motion. Some characteristic properties of the anisotropy are revealed by the regularity of the sample paths. The sharpest way of measuring smoothness is related to these anisotropies and thus to the geometry of these fields
Michael J. Black - One of the best experts on this subject based on the ideXlab platform.
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robust Anisotropic diffusion
IEEE Transactions on Image Processing, 1998Co-Authors: Michael J. Black, David H. Marimont, Guillermo Sapiro, David J. HeegerAbstract:Relations between Anisotropic diffusion and robust statistics are described in this paper. Specifically, we show that Anisotropic diffusion can be seen as a robust estimation procedure that estimates a piecewise smooth image from a noisy input image. The "edge-stopping" function in the Anisotropic diffusion equation is closely related to the error norm and influence function in the robust estimation framework. This connection leads to a new "edge-stopping" function based on Tukey's biweight robust estimator that preserves sharper boundaries than previous formulations and improves the automatic stopping of the diffusion. The robust statistical interpretation also provides a means for detecting the boundaries (edges) between the piecewise smooth regions in an image that has been smoothed with Anisotropic diffusion. Additionally, we derive a relationship between Anisotropic diffusion and regularization with line processes. Adding constraints on the spatial organization of the line processes allows us to develop new Anisotropic diffusion equations that result in a qualitative improvement in the continuity of edges.
Lei Jiang - One of the best experts on this subject based on the ideXlab platform.
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surface mediated buckling of core shell spheres for the formation of oriented Anisotropic particles with tunable morphologies
Soft Matter, 2013Co-Authors: Yifan Zhang, Teng Lu, Xiping Zeng, Haijun Zhou, Elmar Bonaccurso, Hansjuergen Butt, Jianjun Wang, Yanlin Song, Lei JiangAbstract:In this paper we report a surface-mediated growth process for oriented Anisotropic particles with tunable morphologies. The morphology of the Anisotropic particles can be tuned and the generality of this process is checked. This process also provides a new avenue for constructing ensembles of Anisotropic particles.
