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648
Fronts propagating with curvature dependent speed: algorithms based on Hamilton–Jacobi formulations
, 1988
"... We devise new numerical algorithms, called PSC algorithms, for following fronts propagating with curvaturedependent speed. The speed may be an arbitrary function of curvature, and the front also can be passively advected by an underlying flow. These algorithms approximate the equations of motion, w ..."
Abstract

Cited by 1183 (60 self)
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, which resemble HamiltonJacobi equations with parabolic righthand sides, by using techniques from hyperbolic conservation laws. Nonoscillatory schemes of various orders of accuracy are used to solve the equations, providing methods that accurately capture the formation of sharp gradients and cusps
The Contourlet Transform: An Efficient Directional Multiresolution Image Representation
 IEEE TRANSACTIONS ON IMAGE PROCESSING
"... The limitations of commonly used separable extensions of onedimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a “true” twodimensional transform that can capture the intrinsic geometrical structure t ..."
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Cited by 513 (20 self)
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that is key in visual information. The main challenge in exploring geometry in images comes from the discrete nature of the data. Thus, unlike other approaches, such as curvelets, that first develop a transform in the continuous domain and then discretize for sampled data, our approach starts with a discrete
Tractor calculi for parabolic geometries
 TRANS. AMER. MATH. SOC
, 1999
"... Parabolic geometries may be considered as curved analogues of the homogeneous spaces G/P where G is a semisimple Lie group and P ⊂ G a parabolic subgroup. Conformal geometries and CR geometries are examples of such structures. We present a uniform description of a calculus, called tractor calculus, ..."
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Cited by 97 (34 self)
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, based on natural bundles with canonical linear connections for all parabolic geometries. It is shown that from these bundles and connections one can recover the Cartan bundle and the Cartan connection. In particular we characterize the normal Cartan connection from this induced bundle
Some Nonclassical Trends in Parabolic and Paraboliclike Evolutions
"... : An overview will be given of some nonlinear paraboliclike evolution problems which are off the classical beaten track, but have increased in importance during the past decade. The emphasis is on problems which are nonlocal, patternforming (including exhibiting propagative phenomena), and/or lea ..."
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Cited by 67 (0 self)
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: An overview will be given of some nonlinear paraboliclike evolution problems which are off the classical beaten track, but have increased in importance during the past decade. The emphasis is on problems which are nonlocal, patternforming (including exhibiting propagative phenomena), and
unknown title
, 2013
"... Velocityjump processes with a finite number of speeds and their asymptotically parabolic nature ..."
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Velocityjump processes with a finite number of speeds and their asymptotically parabolic nature
Parabolic Category . . .
, 2007
"... For a fixed parabolic subalgebra p of gl(n, C) we prove that the centre of the principal block O p 0 of the parabolic category O is naturally isomorphic to the cohomology ring H ∗ (Bp) of the corresponding Springer fibre. We give a diagrammatic description of O p 0 for maximal parabolic p and give ..."
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For a fixed parabolic subalgebra p of gl(n, C) we prove that the centre of the principal block O p 0 of the parabolic category O is naturally isomorphic to the cohomology ring H ∗ (Bp) of the corresponding Springer fibre. We give a diagrammatic description of O p 0 for maximal parabolic p
PARABOLIC EQUATION
, 2008
"... This dissertation describes the space of heteroclinic orbits for a class of semilinear parabolic equations, focusing primarily on the case where the nonlinearity is a second degree polynomial with variable coefficients. Along the way, a new and elementary proof of existence and uniqueness of solutio ..."
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Cited by 2 (0 self)
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This dissertation describes the space of heteroclinic orbits for a class of semilinear parabolic equations, focusing primarily on the case where the nonlinearity is a second degree polynomial with variable coefficients. Along the way, a new and elementary proof of existence and uniqueness
ecology, environmental science, physiology siderea, Caribbean
, 2014
"... The reefbuilding coral Siderastrea siderea exhibits parabolic responses to ocean the parabolic nature of the corals ’ response to these stressors was evident on February 26, ..."
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The reefbuilding coral Siderastrea siderea exhibits parabolic responses to ocean the parabolic nature of the corals ’ response to these stressors was evident on February 26,
PARABOLIC GEODESICS AS PARALLEL CURVES IN PARABOLIC GEOMETRIES
"... Abstract. We give a simple characterization of the parabolic geodesics introduced by Čap, Slovák and Žádník for all parabolic geometries. This goes through the definition of a natural connection on the space of Weyl structures. We then show that parabolic geodesics can be characterized as the follo ..."
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Abstract. We give a simple characterization of the parabolic geodesics introduced by Čap, Slovák and Žádník for all parabolic geometries. This goes through the definition of a natural connection on the space of Weyl structures. We then show that parabolic geodesics can be characterized
Results 1  10
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