Shape-from-Shading, viscosity solutions and edges.
P.L. Lions, E. Rouy, A. Tourin (1993)
Numerische Mathematik
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Displaying similar documents to “A comparison theorem for a piecewise Lipschitz continuous Hamiltonian and application to Shape-from-Shading problems.”
Shape-from-Shading, viscosity solutions and edges.
Multi-Grid Methods for Hamiltonian-Jacobi-Bellmann Equations.
Ronald H.W. Hoppe (1986)
Numerische Mathematik
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Convergent numerical approximations of the thermomechanical phase transitions in shape memory alloys.
M. Niezgódka, Jürgen Sprekels (1990/91)
Numerische Mathematik
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Solution of Laplace's Equation by Boundary Contraction Over Regions of Irregular Shape.
T.S. CHOW, H.W. MILNES (1962/63)
Numerische Mathematik
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A viscosity solution method for Shape-From-Shading without image boundary data
Emmanuel Prados, Fabio Camilli, Olivier Faugeras (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we propose a solution of the Lambertian shape-from-shading (SFS) problem by designing a new mathematical framework based on the notion of viscosity solution. The power of our approach is twofolds: (1) it defines a notion of weak solutions (in the viscosity sense) which does not necessarily require boundary data. Moreover, it allows to characterize the viscosity solutions by their “minimums”; and (2) it unifies the works of [Rouy and Tourin, (1992)...
Solution to the Complex Eigenproblem by a Norm Reducing Jacobi Type Method.
P.J. EBERLEIN (1970)
Numerische Mathematik
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Handbook Series Linear Algebra. Solution to the Eigenproblem by a Norm Reducing Jacobi Type Method.
P.J. EBERLEIN, J. BOOTHROYD (1968)
Numerische Mathematik
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Optimal control problems with upper semicontinuous Hamiltonians
Arkadiusz Misztela (2010)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we give examples of value functions in Bolza problem that are not bilateral or viscosity solutions and an example of a smooth value function that is even not a classic solution (in particular, it can be neither the viscosity nor the bilateral solution) of Hamilton-Jacobi-Bellman equation with upper semicontinuous Hamiltonian. Good properties of value functions motivate us to introduce approximate solutions of equations with such type Hamiltonians. We show that the value...
On the numerical approximation of first-order Hamilton-Jacobi equations
Rémi Abgrall, Vincent Perrier (2007)
International Journal of Applied Mathematics and Computer Science
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Some methods for the numerical approximation of time-dependent and steady first-order Hamilton-Jacobi equations are reviewed. Most of the discussion focuses on conformal triangular-type meshes, but we show how to extend this to the most general meshes. We review some first-order monotone schemes and also high-order ones specially dedicated to steady problems.
Two shape preserving Lagrange ...-interpolants.
J.C. Archer, E. Le Gruyer (1993)
Numerische Mathematik
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