Forman’s combinatorial vector fields on simplicial complexes are a discrete analogue of classical flows generated by dynamical systems. Over the last decade, many notions from dynamical systems theory have found analogues in this combinatorial setting, such as for example discrete gradient flows and Forman’s discrete Morse theory. So far, however, there is no formal tie between the two theories...

This paper investigates the use of time-adaptive self-organizing map (TASOM)-based active contour models (ACMs) for detecting the boundaries of the human eye sclera and tracking its movements in a sequence of images. The task begins with extracting the head boundary based on a skin-color model. Then the eye strip is located with an acceptable accuracy using a morphological method. Eye features ...

An explicit representation formula for a solution is given in Theorem 1, when g is a bounded smooth vector field. The case of a complete vector field g ∈ C1(Rn,Rn) is analyzed in Theorem 2, introducing adequate stopping times. The main support in writing a solution comes from the solution yλ(τ1, τ2) = G (F (τ1, τ2)) [λ], (τ1, τ2) ∈ R, λ ∈ R, satisfying a deterministic gradient system  ∂τ1yλ (...

We consider the Weil–Petersson gradient vector field of renormalized volume on deformation space convex cocompact hyperbolic structures (relatively) acylindrical manifolds. In this paper we prove conjecture that flow has a global attracting fixed point at unique structure $M_{\rm geod}$ with minimum core volume.

filter is one of the main components of embankment dams. by a simple but effective performance, filter protects the dam against erosion and soil scouring in impervious core caused by leakage (piping) and makes it safe. interaction between filter and erodible base soil is a complex phenomenon which is dependent upon several factors, and has challenged researchers for better understanding the fil...

Abstract This paper proposes a novel method to measure each constituent of an oil–gas–water mixture in water continuous flow, typically encountered many processes. It deploys dual-plane electrical resistance tomography sensor for measuring dispersed phase volume fraction and velocity; gradiomanometer flow density meter drift flux model estimate slip velocities; with absolute pressure temperatur...

Methods of direct or indirect volume rendering are well established and helpful tools for the interactive visual exploration of volumetric datasets. However, the usual display is oriented on surface information, such as the surface of volumetric objects. The actual volumetric information is difficult to interpret intuitively with solely visual methods. In this paper, we add a haptic cue to impr...