We propose a new model for segmenting piecewise constant images with irregular object boundaries: a variant of the Chan-Vese model [T. F. Chan and L. A. Vese, IEEE Trans. Image Process., 10 (2000), pp. 266-277], where the length penalization of the boundaries is replaced by the area of their neighborhood of thickness e. Our aim is to keep fine details and irregularities of the boundaries while denoising additive Gaussian noise. For the numerical computation we revisit the classical BV level set formulation [S. Osher and J. A. Sethian, J. Comput. Phys., 79 (1988), pp. 12-49] considering suitable Lipschitz level set functions instead of BV ones.
A VARIATIONAL MODEL FOR INFINITE PERIMETER SEGMENTATIONS BASED ON LIPSCHITZ LEVEL SET FUNCTIONS: DENOISING WHILE KEEPING FINELY OSCILLATORY BOUNDARIES / M., Barchiesi; S. H., Kang; T. M., Le; M., Morini; Ponsiglione, Marcello. - In: MULTISCALE MODELING & SIMULATION. - ISSN 1540-3459. - STAMPA. - 8:5(2010), pp. 1715-1741. [10.1137/090773659]
A VARIATIONAL MODEL FOR INFINITE PERIMETER SEGMENTATIONS BASED ON LIPSCHITZ LEVEL SET FUNCTIONS: DENOISING WHILE KEEPING FINELY OSCILLATORY BOUNDARIES
MORINI, MARCO;PONSIGLIONE, Marcello
2010
Abstract
We propose a new model for segmenting piecewise constant images with irregular object boundaries: a variant of the Chan-Vese model [T. F. Chan and L. A. Vese, IEEE Trans. Image Process., 10 (2000), pp. 266-277], where the length penalization of the boundaries is replaced by the area of their neighborhood of thickness e. Our aim is to keep fine details and irregularities of the boundaries while denoising additive Gaussian noise. For the numerical computation we revisit the classical BV level set formulation [S. Osher and J. A. Sethian, J. Comput. Phys., 79 (1988), pp. 12-49] considering suitable Lipschitz level set functions instead of BV ones.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
