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.

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...

A new graph algorithm for multiscale segmentation of threedimensional medical data sets is presented. It is a threedimensional generalisation of an existing two-dimensional Mumford-Shah region-merging segmentation algorithm. The Mumford-Shah functional formulation leads to improved segmentation results compared to alternative approaches; the graph theoretic approach yields improved performance ...

according adhar bigdili, muhammad ali was son of abdal biq naqqashbashi (painter laureate)and grandson of aliquli biq jabadar, court painter of shah safi and shah abbas ii safawi. adhar bigdili credited muhammad ali with naqqashbashi of shah tahmasp ii safawi and nadir shah afshar. having learnt the art of painting from his father, muhamma ali in turn trained ali ashraf, who worked under patron...

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...