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 ...

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...

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.

A closed horocycle $$\mathcal {U}$$ on $$SL_N(\mathbb {Z}) \backslash SL_N(\mathbb {R})/SO_N({\mathbb {R}})$$ has many lifts to the universal cover . Under some conditions horocycle, we give a precise asymptotic count of its bounded distance away from given base point in cover. This partially generalizes previous work Mohammadi–Golsefidy.

Shakeri, Z., K. Mohammadi-Samani, E. Bergmeier, and T. Plieninger. 2021. Spiritual values shape taxonomic diversity, vegetation composition, conservation status in woodlands of the Northern Zagros, Iran. Ecology Society 26(1):30. https://doi.org/10.5751/ES-12290-260130

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...

81 AIJ Electrical & Electronics Engineering, Vol 48, No. 2, Fall 2016 Please cite this article using: Fathi, M., Ghahramani, N., Ashtiani, M. A. S., Mohammadi, A., and Fallah, M., 2016. “Adaptive Fusion of Inertial Navigation System and Tracking Radar Data”. Amirkabir International Journal of Electrical and Electronics Engineering, 48(2), pp. 81–91. DOI: 10.22060/eej.2016.818 URL: http://eej.au...

The h-polynomial of the barycentric subdivision any n-dimensional cubical complex with nonnegative h-vector is shown to have only real roots and be interlaced by Eulerian polynomial type Bn. This result applies subdivisions shellable complexes and, in particular, convex polytopes answers affirmatively a question Brenti, Mohammadi Welker.