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 ...

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 ...

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.

the shah-kuh granitoid has intruded in the triassic–jurassic, pelitic and psammitic low-grade metamorphic rocks of the ne lutblock, in central iran. cordierite porphyroblasts are common in the southern pelitic sediments, but are rare in the northern psammiticrocks, in the contact aureole. deformation fabrics in the contact aureole are well-preserved within the cordierite porphyroblasts. therela...

Source and Description of Probe. A 2.7-kb human cDNA clone for TAP2 was excised from the XbaI site of the plasmid pRSV.5neo (Bahram et al., 1991). Method of Detection. DNA was isolated from whole blood and digested with TuqI. Fragments were separated by agarose gel electrophoresis and transferred to charged nylon membranes. Hybridizations were for 16 to 20 h at 65°C (10% dextran sulfate, 7% SDS...

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 ...

In a recent paper, Soni and Shah [Soni, H., Shah, N. H., 2008. Optimal ordering policy for stock-dependent demand under progressive payment scheme. European Journal of Operational Research 184, 91-100] developed a model to find the optimal ordering policy for a retailer with stock-dependent demand and a supplier that offers a progressive payment scheme to the retailer. This note corrects some e...