As recently discussed by Bar, Kiryati, and Sochen in [3], the Ambrosio-Tortorelli approximation of the Mumford-Shah functional defines an extended line process regularization where the regularizer has an additional constraint introduced by the term ρ|∇v|. This term mildly forces some spatial organization by demanding that the edges are smooth. However, it does not force spatial coherence such a...

We propose a fast and robust segmentation model for piecewise smooth images. Rather than modeling each region with global statistics, we introduce local statistics in an energy formulation. The shape gradient of this new functional gives a contour evolution controlled by local averaging of image intensities inside and outside the contour. To avoid the computational burden of a direct estimation...

Shah-Waardenburg syndrome (SWS) is a neurocristopathy and is characterized by Hirschsprung's disease (HD), deafness, and depigmentation of hairs, skin, and iris. Is a very rare congenital disorder with variable clinical expression. This report describes a 4-day-old male newborn with Waardenburg's syndrome associated with aganglionosis of the colon and terminal ileum, and review the relevant lit...

The Mumford-Shah functional for image segmentation is an original approach of the image segmentation problem, based on a minimal energy criterion. Its minimization can be seen as a free discontinuity problem and is based on Γ-convergence and bounded variation functions theories. Some new regularization results, make possible to imagine a finite element resolution method. In a first time, the Mu...

In this paper, we consider minimizing the Mumford-Shah functional over two-valued functions in the plane. Existence of minimizers is straightforward and we show that the edge set of any zninimizer is a finite union of C curves.

Kevser Unal, Deny Susanti*, Muhammad Taher Department of Biomedical Science, Kulliyah of Science, International Islamic University Malaysia, Jalan Sultan Ahmad Shah, 25200 Kuantan, Pahang, Malaysia Department of Chemistry, Kulliyah of Science, International Islamic University Malaysia, Jalan Sultan Ahmad Shah, 25200 Kuantan, Pahang, Malaysia Department of Pharmaceutical Technology, Kulliyah of ...

Dr Shah J. Miah: Dr Shah Miah is a Lecturer in Informatics at the University of the Sunshine Coast Queensland Australia and was previously involved in teaching at Griffith University and James Cook University, Australia. He received his PhD (in the area of Decision Support Systems), from Griffith University, Australia. Shah is an early career researcher who has lead authored over 25 peer review...

Address for correspondence Dr. Gauri Shankar Shah Professor and Head Department of Paediatrics and Adolescent Medicine, B P Koirala Institute of Health Sciences, Dharan, Nepal Email: [email protected] How to cite this article ? Shah GS, Yadav S, Thapa A, Shah L. Clinical Profi le and Outcome of Neonates Admitted to Neonatal Intensive Care Unit (NICU) at a Tertiary Care Centre in Eastern...

Abstract. Inspired by the recent work of Bertalmio et al. on digital inpaintings [SIGGRAPH 2000], we develop general mathematical models for local inpaintings of nontexture images. On smooth regions, inpaintings are connected to the harmonic and biharmonic extensions, and inpainting orders are analyzed. For inpaintings involving the recovery of edges, we study a variational model that is closel...

The preservation properties of Gieseker stability and semistability under the Fourier transform of Mukai are discussed. A fundamental lemma is proved describing the degree of sheaves whose Fourier transforms are concentrated in degrees 0 or 2. This is used to prove results about the behaviour of both Gieseker stability and Mumford-Takemoto stability under the Fourier transform.