| Título: | A variational shape optimization approach for image segmentation with a Mumford-Shah functional |
| Autores: |
Gunay Dogan; University of Pennsylvania Pedro Morin; IMAL-CONICET-UNL Ricardo H. Nochetto |
| Fecha: | 2006-06-24 |
| Publicador: | Cuadernos de Matemática y Mecánica |
| Fuente: |
 |
| Tipo: |
Articles |
| Tema: | No aplica |
| Descripción: | We introduce a novel computational method for a Mumford-Shah functional, which decomposes a given image into smooth regions separated by closed curves. Casting this as a shape optimization problem, we develop a gradient descent approach at the continuous level that yields non-linear PDE flows. We propose time discretizations that linearize the problem, and space discretization by continuous piecewise linear finite elements. The method incorporates topological changes, such as splitting and merging for detection of multiple objects, space-time adaptivity and a coarse-to-fine approach to process large images efficiently. We present several simulations that illustrate the performance of the method, and investigate the model sensitivity to various parameters. Keywords: image segmentation, Mumford-Shah, shape optimization, finite element method AMS Subject Classifications: 49M15,49M25,65D15,65K10,68T45,90C99 Published: SIAM Journal on Scientific Computing 30 (2008), no. 6, 3028--3049. |
| Idioma: | Inglés |
1 Sloshing in a Multi-Physics Parallel Programming Paradigm por Laura Battaglia; CIMEC-INTEC-CONICET-UNL,Jorge D'Elía; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL,Norberto Marcelo Nigro; CIMEC-INTEC-CONICET-UNL | 6 MPI for Python por Lisandro Daniel Dalcín; CIMEC-INTEC-CONICET-UNL,Rodrigo Rafael Paz; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL |
2 A Minimal Element Distortion Strategy for Computational Mesh Dynamics por Ezequiel López; CIMEC-INTEC-CONICET-UNL,Norberto Marcelo Nigro; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL,Jorge Toth; Universidad Nacional del Comahue | 7 An interface strip preconditioner for domain decomposition methods: Application to hydrology por Rodrigo Rafael Paz; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL |
3 Strong coupling strategy for fluid structure interaction problems in supersonic regime via fixed point iteration por Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL,Norberto Marcelo Nigro; CIMEC-INTEC-CONICET-UNL,Rodrigo Rafael Paz; CIMEC-INTEC-CONICET-UNL | 8 A Preconditioner for the Schur Complement Matrix por Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL,Lisandro Daniel Dalcín; CIMEC-INTEC-CONICET-UNL,Rodrigo R. Paz; CIMEC-INTEC-CONICET-UNL,Andrea Yommi; CIMEC-INTEC-CONICET-UNL,Victorio E. Sonzogni; CIMEC-INTEC-CONICET-UNL,Norberto M. Nigro; CIMEC-INTEC-CONICET-UNL |
4 Hot-pressing process modeling for medium density fiberboard (MDF) por Norberto Marcelo Nigro; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL | 9 Finite Element Methods for Surface Diffusion por Eberhard Bansch,Pedro Morin; IMAL-CONICET-UNL,Ricardo Nochetto |
5 On the efficiency and quality of numerical solutions in CFD problems using the Interface Strip Preconditioner for domain decomposition methods por Rodrigo Rafael Paz; CIMEC-INTEC-CONICET-UNL,Norberto Marcelo Nigro; CIMEC-INTEC-CONICET-UNL,Mario Alberto Storti; CIMEC-INTEC-CONICET-UNL | 10 A finite element method for surface diffusion: the parametric case por Pedro Morin; IMAL-CONICET-UNL,Eberhard Bänsch,Ricardo H. Nochetto |