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...

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.

We propose a novel image segmentation model, called the Semi-Supervised Subspace Mumford-Shah model, which incorporates subspace clustering techniques into a Mumford-Shah model to solve texture segmentation problems. While the natural unsupervised approach to learn a feature subspace can easily be trapped in a local solution, we propose a novel semi-supervised optimization algorithm that makes ...

We present an estimation-theoretic approach to curve evolution for the Mumford-Shah problem. By viewing an active contour as the set of discontinuities in the Mumford-Shah problem, we may use the corresponding functional to determine gradient descent evolution equations to deform the active contour. In each gradient descent step, we solve a corresponding optimal estimation problem, connecting t...

The aim of this paper is to provide a formal link between an oscillatory neural model, whose phase is represented by a difference equation, and the Mumford and Shah functional. A Riemannian metric is induced by the pattern of neural connections, and in this setting the difference equation is studied. Its Euler–Lagrange operator Γ-converges as the dimension of the grid tends to 0 to the Mumford ...