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In this paper we introduce a new salient object segmenta-tion method, which is based on combining a saliency measure with a conditional random field (CRF) model. The proposed saliency measure is formulated using a statistical framework and local feature contrast in illumination, color, and motion information. The resulting saliency map is then used in a CRF(More)
We give a procedure for reconstructing a magnetic field and electric potential from boundary measurements given by the Dirichlet to Neumann map for the magnetic Schrödinger operator in R n , n ≥ 3. The magnetic potential is assumed to be continuous with L ∞ divergence and zero boundary values. The method is based on semiclassical pseudodifferential calculus(More)
We prove that a potential q can be reconstructed from the Dirichlet-to-Neumann map for the Schrödinger operator −∆g + q in a fixed admissible 3-dimensional Riemannian manifold (M, g). We also show that an admissible metric g in a fixed conformal class can be constructed from the Dirichlet-to-Neumann map for ∆g. This is a constructive version of earlier(More)
In this article we prove L p estimates for resolvents of La-place-Beltrami operators on compact Riemannian manifolds, generalizing results of [12] in the Euclidean case and [17] for the torus. We follow [18] and construct Hadamard's parametrix, then use classical bounded-ness results on integral operators with oscillatory kernels related to the Carleson and(More)
This paper presents a new affine invariant image transform called multiscale autoconvolution (MSA). The proposed transform is based on a probabilistic interpretation of the image function. The method is directly applicable to isolated objects and does not require extraction of boundaries or interest points, and the computational load is significantly(More)
In this article we consider the anisotropic Calderón problem and related inverse problems. The approach is based on limiting Carleman weights, introduced in [13] in the Euclidean case. We characterize those Riemannian manifolds which admit limiting Carleman weights, and give a complex geometrical optics construction for a class of such manifolds. This is(More)
In this paper, we present a novel convexity measure for object shape analysis. The proposed method is based on the idea of generating pairs of points from a set and measuring the probability that a point dividing the corresponding line segments belongs to the same set. The measure is directly applicable to image functions representing shapes and also to(More)
This paper presents two new algorithms for computing a planar homography from conic correspondences. Firstly, we propose a linear algorithm for computing the homography when there are three or more conic correspondences. In this case, we get an overdetermined set of linear equations and the solution that minimizes the algebraic distance is obtained by the(More)
We prove that the electromagnetic material parameters are uniquely determined by boundary measurements for the time-harmonic Maxwell equations in certain anisotropic settings. We give a uniqueness result in the inverse problem for Maxwell equations on an admissible Riemannian manifold, and a uniqueness result for Maxwell equations in Euclidean space with(More)