Consistency of Variational Continuous-Domain Quantization via Kinetic Theory

@inproceedings{Fornasier2012ConsistencyOV,
  title={Consistency of Variational Continuous-Domain Quantization via Kinetic Theory},
  author={M. Fornasier and J. Haskovec and Gabriele Steidl},
  year={2012}
}
We study the kinetic mean-field limits of the discrete systems of interacting particles used for halftoning of images in the sense of continuous-domain quantization. Under mild assumptions on the regularity of the interacting kernels we provide a rigorous derivation of the mean-field kinetic equation. Moreover, we study the energy of the system, show that it is a Lyapunov functional and prove that in the long time limit the solution tends to an equilibrium given by a local minimum of the energy… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.

Explore Further: Topics Discussed in This Paper

References

Publications referenced by this paper.
Showing 1-10 of 15 references

Theory of Reproducing Kernels(')

N. ARONSZAJN
2010
View 1 Excerpt

Nieslony Fast convolution with radial kernels at nonequispaced knots

D. Potts, A. G. Steidl
Numer. Math.,98:329–351, • 2004
View 1 Excerpt

Scattered Data Approximation with a Hybrid Scheme

O. Davydov-R. Morandi-A. Sestini
2003
View 1 Excerpt

The Analysis of Linear Partial Differential Operators I

L. Hörmander
2003

The mean-field limit for the dynamics of large particle systems. Journées “Équations aux Dérivées Partielles

F. Golse
Exp. No. IX, • 2003

The geometry of dissipative evolution equations: the porous medium equation

F. Otto
Comm. Partial Differential Equations • 2001
View 1 Excerpt

Similar Papers

Loading similar papers…