Using a calibration method we prove that, if Γ ⊂ Ω is a closed regular hypersurface and if the function g is discontinuous along Γ and regular outside, then the function uβ which solves { ∆uβ = β(uβ − g) in Ω \ Γ ∂νuβ = 0 on ∂Ω ∪ Γ is in turn discontinuous along Γ and it is the unique absolute minimizer of the nonhomogeneous Mumford-Shah functional

Text line segmentation in handwritten documents is an important step in document processing. We present a new text line segmentation method based on the Mumford-Shah model. The algorithm is script independent. In addition, we use morphing to remove overlaps between neighboring text lines and connect broken ones. Experimental results show the validity of our method.

Let G be a connected reductive linear algebraic group. We use geometric methods to investigate G-completely reducible subgroups of G, giving new criteria for G-complete reducibility. We show that a subgroup of G is G-completely reducible if and only if it is strongly reductive in G; this allows us to use ideas of R.W. Richardson and Hilbert– Mumford–Kempf from geometric invariant theory. We ded...

This work focuses on a parameter-free joint piecewise smooth image denoising and contour detection. Formulated as the minimization of discrete Mumford–Shah functional estimated via theoretically grounded alternating scheme, bottleneck such variational approach lies in need to fine-tune their hyperparameters, while not having access ground truth data. To that aim, Stein-like strategy providing o...

Aldolase catalyses the reversible splitting of fructose 1 :6-diphosphateto glyceraldehyde-3-phosphate and dihydroxy-acetone phosphate. Diagnostically it is of value in distinguishing primary muscular disease from neurogenic muscular atrophy. Most investigators agree that levels are higher in normal children, especially the newly born, than in normal adults and that there is no sex difference (S...

Burton M. Altura, Nilank C. Shah, Gatha Shah, Aimin Zhang, Wenyan Li, Tao Zheng, Jose Luis Perez-Albela, and Bella T. Altura Departments of Physiology and Pharmacology and Medicine, Center for Cardiovascular and Muscle Research, and School of Graduate Studies Program in Molecular and Cellular Science, State University of New York Downstate Medical Center, Brooklyn; Bio-Defense Systems, Incorpor...