Electronic Resource
Springer
Applied mathematics & optimization
41 (2000), S. 51-85
ISSN:
1432-0606
Keywords:
Key words. Computer vision, Variational convergence. AMS Classification. 45L05, 49F22.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. In this paper we consider a class of discrete variational models derived from a theory of Geman and McClure (see [15]) and study their asymptotic behavior when their stepsize tends to zero. It is shown that a result of Γ -convergence toward a certain functional holds true if a characteristic parameter of these models obeys a well-defined dependence law upon the stepsize. Under this condition the Γ -limit is a modified form of the Mumford—Shah functional.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002459911004
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