Preprint server: Image Segmentation


[BPPW23](R64)
G. Bellettini , G. Paolini, M. Paolini , and Y.-S. Wang , A table of n-component handlebody links of genus n plus 1 up to six crossings, Math. Proc. Cambridge Philos. Soc., 174 (2023).

[BPW20b](R63)
G. Bellettini , M. Paolini , and Y.-S. Wang , Numerical irreducibility criteria for handlebody links, Topology and its Applications, 284 (2020), 1--14.

[BPW21a](R62)
G. Bellettini , M. Paolini , and Y.-S. Wang , A complete invariant for closed surfaces in the three-sphere, J. Knot Theory Ramifications, 30 (2021), 1--25.

[BPW20a](R61)
G. Bellettini , M. Paolini , and Y.-S. Wang , A complete invariant for connected surfaces in the 3-sphere, J. Knot Theory Ramifications, 29 (2020), 1--24.

[BBPP15](B1)
G. Bellettini , V. Beorchia, M. Paolini , and F. Pasquarelli, Shape Reconstruction from Apparent Contours. Theory and Algorithms, Springer Verlag, Berlin (2015).

[BBP12](R51)
G. Bellettini , V. Beorchia, and M. Paolini , Completeness of Reidemeister-type moves for surfaces embedded in three-dimensional space, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 23 (2012), 69--87.

[BBP09b](R50)
G. Bellettini , V. Beorchia, and M. Paolini , Completion of visible contours, SIAM J. Imaging Sci., 2 (2009), 777--799.

[BNP11](R52)
G. Bellettini , M. Novaga , and M. Paolini , Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension, Math. Models Methods Appl. Sci., 21 (2011), 241--265.

[BNPT09a](R49)
G. Bellettini , M. Novaga , M. Paolini , and C. Tornese, Classification of the equilibria for the semi-discrete Perona-Malik equation, Calcolo, 46 (2009), 221--243.

[BBP09a](R47)
G. Bellettini , V. Beorchia, and M. Paolini , An explicit formula for a Bennequin-type invariant for apparent contours, Topology Appl., 156 (2009), 747--760.

[Pao07](C27)
M. Paolini , A software code to manipulate apparent contours, Oberwolfach Reports, 4 (2007), 179--181.

[BNPT08a](R48)
G. Bellettini , M. Novaga , M. Paolini , and C. Tornese, Convergence of discrete schemes for the Perona-Malik equation, J. Differential Equations, 245 (2008), 892--924.

[BBP08a](R45)
G. Bellettini , V. Beorchia, and M. Paolini , Topological and variational properties of a model for the reconstruction of three-dimensional transparent images with self-occlusions, J. Math. Imaging Vision, 32 (2008), 265--291.

[NePa01](R39)
M. Negri and M. Paolini , Numerical minimization of the Mumford-Shah functional, Calcolo, 38 (2001), 67--84.

[BePa94c](RT8)
G. Bellettini and M. Paolini , Su un modello di Mumford e Nitzberg per la segmentazione di immagini, Seminario di Analisi Matematica, Dipartimento di Matematica dell'Universit\'a di Bologna, 28 aprile (1994), 72--85.

[BePa95b](R19)
G. Bellettini and M. Paolini , Variational properties of an image segmentation functional depending on contours curvature, Adv. Math. Sci. Appl., 5 (1995), 681--715.

[BDP93](R13)
G. Bellettini , G. Dal Maso, and M. Paolini , Semicontinuity and relaxation properties of a curvature depending functional in 2D, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 20 (1993), 247--297.

[BPV91c](R9)
G. Bellettini , M. Paolini , and C. Verdi , Numerical minimization of geometrical type problems related to calculus of variations, Calcolo, 27 (1991), 251--278.

MP

Mar 03, 24