microfluidic flow focusing devices have been utilized for droplet generation on account of its superior control over droplet size. droplet based microfluidics addressed many scientific issues by providing a novel technological platform for applications such as biology, pharmaceutical industry, biomedical studies and drug delivery. this study numerically investigated the droplet generation proce...

this paper presents a new procedure for automatic extraction of the blood vessels and optic disk (od) in fundus fluorescein angiogram (ffa). in order to extract blood vessel centerlines, the algorithm of vessel extraction starts with the analysis of directional images resulting from sub‑bands of fast discrete curvelet transform (fdct) in the similar directions and different scales. for this pur...

We introduce a new geometric–analytic functional that we analyse in the context of free discontinuity problems. Its main feature is geometric term (the length jump set) appears with negative sign. This motivated by searching quantitative inequalities for best constants Sobolev–Poincaré trace terms $${\mathbb {R}}^n$$ which correspond to fundamental eigenvalues associated semilinear problems Lap...

Clusters are often defined to be the connected components of a density level set. Unfortunately, this definition depends on a level that needs to be user specified by some means. In this paper we present a simple algorithm that is able to asymptotically determine the optimal level, that is, the level at which there is the first split in the cluster tree of the data generating distribution. We f...