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We show that computing (and even approximating) MAXIMUM CLIQUE and MINIMUM GRAPH COLORING for circulant graphs is essentially as hard as in the general case. In contrast, we show that, under additional constraints, e.g., prime order and/or sparseness, GRAPH ISOMORPHISM and MINIMUM GRAPH COLORING become easier in the circulant case, and we take advantage of… (More)

- Luigi Bedini, Ivan Gerace, Anna Tonazzini
- CVGIP: Graphical Model and Image Processing
- 1994

- Anna Tonazzini, Ivan Gerace, Francesca Martinelli
- IEEE Transactions on Image Processing
- 2010

In this paper, we apply Bayesian blind source separation (BSS) from noisy convolutive mixtures to jointly separate and restore source images degraded through unknown blur operators, and then linearly mixed. We found that this problem arises in several image processing applications, among which there are some interesting instances of degraded document… (More)

- Ivan Gerace, Francesco Cricco, Anna Tonazzini
- ICA
- 2004

- Luigi Bedini, Ivan Gerace, Anna Tonazzini
- Pattern Recognition Letters
- 1994

In this paper we present a Graduated Non-Convexity (GNC) algorithm for reconstructing images. We assume that the data images are blurred and corrupted by white Gaussian noise. Geometric features of discontinuities are introduced in the model and the problem is formulated as the minimization of a non-convex function. We give a convex approximation of such a… (More)

- Bruno Codenotti, Ivan Gerace, Giovanni Resta
- Ars Comb.
- 2003

We tackle the problem of estimating the Shannon capacity of cycles of odd length. We present some strategies which allow us to nd tight bounds on the Shannon capacity of cycles of various odd lengths, and suggest that the diiculty of obtaining a general result may be related to diierent behaviours of the capacity, depending on the \structure" of the odd… (More)

- Antonio Boccuto, Ivan Gerace, Patrizia Pucci
- Journal of Mathematical Imaging and Vision
- 2011

The problem of image restoration from blur and noise is studied. A solution of the problem is understood as the minimum of an energy function composed by two terms. The first is the data fidelity term, while the latter is related to the smoothness constraints. The discontinuities of the ideal image are unknown and must be estimated. In particular, the… (More)

- Ivan Gerace, Federico Greco
- Mathematical Structures in Computer Science
- 2008

- Ivan Gerace, Roberta Pandolfi, Patrizia Pucci
- ICIP
- 2003