Name
Title | ||
|---|---|---|
Explicit Algorithms for a New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal |
Abstract | ||
|---|---|---|
In this paper we formulate a time dependent model to approximate the solution to the nonlinear total variation optimization problem for deblurring and noise removal introduced by Rudin and Osher [ Total variation based image restoration with free local constraints, in Proceedings IEEE Internat. Conf. Imag. Proc., IEEE Press, Piscataway, NJ, (1994), pp. 31--35] and Rudin, Osher, and Fatemi [ Phys. D, 60 (1992), pp. 259--268], respectively. Our model is based on level set motion whose steady state is quickly reached by means of an explicit procedure based on Roe's scheme [ J. Comput. Phys., 43 (1981), pp. 357--372], used in fluid dynamics. We show numerical evidence of the speed of resolution and stability of this simple explicit procedure in some representative 1D and 2D numerical examples. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1137/S1064827599351751 | SIAM Journal on Scientific Computing |
Keywords | Field | DocType |
image restoration,total variation norm,upwind schemes,nonlinear diffusion,level set motion | Runge–Kutta methods,Deblurring,Mathematical analysis,Level set,Algorithm,White noise,Image restoration,Optimization problem,Gaussian noise,Mathematics,Constrained optimization | Journal |
Volume | Issue | ISSN |
22 | 2 | 1064-8275 |
Citations | PageRank | References |
98 | 16.36 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Antonio Marquina | 1 | 431 | 45.30 |
| Stanley Osher | 2 | 7973 | 514.62 |