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Start Over Subject Hamilton-Jacobi equation

1. Hypercontractivity of solutions to Hamilton-Jacobi equations

Creator:
Goldys, Benjamin
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Hamilton-Jacobi equation, stochastic semilinear equation, invariant measure, Log-Sobolev inequality, and hypercontractivity
Language:
English
Description:
We show that solutions to some Hamilton-Jacobi Equations associated to the problem of optimal control of stochastic semilinear equations enjoy the hypercontractivity property.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Numerical algorithms for perspective shape from shading

Creator:
Breuss, Michael, Cristiani, Emiliano, Durou, Jean-Denis, Falcone, Maurizio, and Vogel, Oliver
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
hypperbolic partial differential equation, Hamilton-Jacobi equation, finite difference method, semi-Lagrangian scheme, and Shape-From-Shading
Language:
English
Description:
The Shape-From-Shading (SFS) problem is a fundamental and classic problem in computer vision. It amounts to compute the 3-D depth of objects in a single given 2-D image. This is done by exploiting information about the illumination and the image brightness. We deal with a recent model for Perspective SFS (PSFS) for Lambertian surfaces. It is defined by a Hamilton-Jacobi equation and complemented by state constraints boundary conditions. In this paper we investigate and compare three state-of-the-art numerical approaches. We begin with a presentation of the methods. Then we discuss the use of some acceleration techniques, including cascading multigrid, for all the tested algorithms. The main goal of our paper is to analyze and compare recent solvers for the PSFS problem proposed in the literature.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public