naa a22 4500 510760864 CHVBK 20180411083138.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s13163-012-0103-1 doi (NATIONALLICENCE)springer-10.1007/s13163-012-0103-1 Generic uniqueness of minimizer for Blake & Zisserman functional [Elektronische Daten] [Tommaso Boccellari, Franco Tomarelli] Blake-Zisserman functional $F_{\alpha ,\beta}^{g} $ achieves a finite minimum for any pair of real numbers α, β such that 0<β≤α≤2β and any g∈L 2(0,1). Uniqueness of minimizer does not hold in general. Nevertheless, in the 1D case uniqueness of minimizer is a generic property for $F_{\alpha ,\beta }^{g}$ in the sense that it holds true for almost all gray levels data g and parameters α, β: we prove that, whenever α/β∉ℚ, the minimizer is unique for any g belonging to a dense G δ set of L 2(0,1) dependent onα andβ. Universidad Complutense de Madrid, 2012 Calculus of variations nationallicence Generic uniqueness nationallicence Euler equations nationallicence Image segmentation nationallicence Boccellari Tommaso Dip. di Matematica "F. Brioschi”, Politecnico di Milano, P.zza L. da Vinci, 32, 20133, Milano, Italy aut Tomarelli Franco Dip. di Matematica "F. Brioschi”, Politecnico di Milano, P.zza L. da Vinci, 32, 20133, Milano, Italy aut Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 361-408 1139-1138 26:2<361 2013 26 13163 https://doi.org/10.1007/s13163-012-0103-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-012-0103-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Boccellari Tommaso Dip. di Matematica "F. Brioschi”, Politecnico di Milano, P.zza L. da Vinci, 32, 20133, Milano, Italy aut NATIONALLICENCE 700 1- Tomarelli Franco Dip. di Matematica "F. Brioschi”, Politecnico di Milano, P.zza L. da Vinci, 32, 20133, Milano, Italy aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 361-408 1139-1138 26:2<361 2013 26 13163 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer