Abstract. We proposed an efficient iterative thresholding method for multi-phase image segmentation. The algorithm is based on minimizing piecewise constant Mumford-Shah functional in which the contour length (or perimeter) is approximated by a non-local multi-phase energy. The minimization problem is solved by an iterative method. Each iteration consists of computing simple convolutions follow...

Background and Purpose: The curriculum design underwent chronological pattern adjustment globally; however, the alterations are heavily contextualized. Therefore, this article is aimed to understand how futuristic perceived in South East Asia (SEA). understanding of past achieved through retrospective examination published documents. After identifying trends, anticipation from historical trends...

abstract: objective: the present paper examines the status and station of librarian during the saffavid era. to better illustrate it explores the life and works of one of these librarians, mirza mohammad moghim-e-ketabdar, who lived under shah abbas the great. method: a descriptive analysis of library materials was performed. findings: in past librarians enjoyed a high station and reputation du...

The Mumford-Shah model has been one of the most powerful models in image segmentation and denoising. The optimization of the multiphase Mumford-Shah energy functional has been performed using level sets methods that optimize the Mumford-Shah energy by evolving the level sets via the gradient descent. These methods are very slow and prone to getting stuck in local optima due to the use of the gr...

A diverse body of research has demonstrated that people update their beliefs to a greater extent when receiving good news compared to bad news. Recently, a paper by Shah et al. claimed that this asymmetry does not exist. Here we carefully examine the experiments and simulations described in Shah et al. and follow their analytic approach on our data sets. After correcting for confounds we identi...

Abstract. The goal of this paper is to develop region based image segmentation algorithms. Two new variational PDE image segmentation models are proposed. The first model is obtained by minimizing an energy function which depends on a modified Mumford-Shah algorithm. The second model is acquired by utilizing prior shape information and region intensity values. The numerical experiments of the p...

In this paper we investigate the image of the l-adic representation attached to the Tate module of an abelian variety over a number field with endomorphism algebra of type I or II in the Albert classification. We compute the image explicitly and verify the classical conjectures of Mumford-Tate, Hodge, Lang and Tate, for a large family of abelian varieties of type I and II. In addition, for this...

In this paper it is shown that any regular critical point of the Mumford-Shah functional, with positive definite second variation, is an isolated local minimizer with respect to competitors which are sufficiently close in the L1 -topology.