A Variational Model for Infinite Perimeter Segmentations
Based on Lipschitz Level Set Functions: Denoising While Keeping Finely
Oscillatory Boundaries
Marco Barchiesi
BCAM
48160 Derio, Spain
barchiesi@bcamath.org
Sung Ha Kang
Georgia Institute of Technology
School of Mathematics
Atlanta, GA 30332-0160
kang@math.gatech.edu
Triet M. Le
Yale University
Department of Mathematics
New Haven, CT 06511
triet.le@yale.edu
Massimiliano Morini
SISSA
30414 Trieste, Italy
morini@sissa.it
Marcello Ponsiglione
Università di Roma ``La Sapienza''
Dipartimento di matematica
00185 Roma, Italy
ponsigli@mat.uniroma1.it
Abstract: We propose a new model for segmenting piecewise
constant images with irregular object boundaries: a variant of the Chan-Vese
model [10], where the length penalization of the boundaries is replaced by the
area of their neighborhood of thickness .. 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
[23] considering suitable Lipschitz level set functions instead of BV ones.
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