Adaptive fast marching and level set methods for propagating interfaces.
Sethian, J.A. (1998)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Sethian, J.A. (1998)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Kósa, Balázs, Haličková-Brehovská, Jana, Mikula, Karol
Similarity:
In this article, we present a mathematical model and numerical method for surface reconstruction from 3D point cloud data, using the level-set method. The presented method solves surface reconstruction by the computation of the distance function to the shape, represented by the point cloud, using the so called Fast Sweeping Method, and the solution of advection equation with curvature term, which creates the evolution of an initial condition to the final state. A crucial point for efficiency...
Zuoyong Zheng, Lizhuang Ma, Zhong Li, Zhihua Chen (2010)
Computer Science and Information Systems
Similarity:
Arnaud Münch (2009)
International Journal of Applied Mathematics and Computer Science
Similarity:
We consider a linear damped wave equation defined on a two-dimensional domain Ω, with a dissipative term localized in a subset ω. We address the shape design problem which consists in optimizing the shape of ω in order to minimize the energy of the system at a given time T . By introducing an adjoint problem, we first obtain explicitly the (shape) derivative of the energy at time T with respect to the variation in ω. Expressed as a boundary integral on ∂ω, this derivative is then used...
Thornburg, Jonathan (2007)
Living Reviews in Relativity [electronic only]
Similarity:
Édouard Oudet (2004)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
In this paper we introduce a numerical approach adapted to the minimization of the eigenmodes of a membrane with respect to the domain. This method is based on the combination of the Level Set method of S. Osher and J.A. Sethian with the relaxed approach. This algorithm enables both changing the topology and working on a fixed regular grid.
Yves Achdou, Italo Capuzzo-Dolcetta (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
We propose and analyze numerical schemes for viscosity solutions of time-dependent Hamilton-Jacobi equations on the Heisenberg group. The main idea is to construct a grid compatible with the noncommutative group geometry. Under suitable assumptions on the data, the Hamiltonian and the parameters for the discrete first order scheme, we prove that the error between the viscosity solution computed at the grid nodes and the solution of the discrete problem behaves like where is the mesh...
Harbir Antil, Ronald Hoppe, Christopher Linsenmann (2008)
Control and Cybernetics
Similarity:
Grégoire Allaire, Frédéric de Gournay, François Jouve, Anca-Maria Toader (2005)
Control and Cybernetics
Similarity: