Numerical stabilisation of motion integration

Motion stabilisation for video sequences

Motion Stabilisation is the art of removing unwanted observable motion from a dynamic image sequence. Computer Vision techniques serve as a purely software based means of achieving motion stabilisation by applying a sequence of techniques including calculating an original global motion estimate using feature detection, feature tracking and outlier rejection. An update transformation is derived ...

Numerical integration using spline quasi-interpolants

In this paper, quadratic rules for obtaining approximate solution of definite integrals as well as single and double integrals using spline quasi-interpolants will be illustrated. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.

Direct Numerical Simulation of a Turbulent Lifted Flame: Stabilisation Mechanism

A turbulent lifted slot-jet flame is studied using direct numerical simulation (DNS). A single step chemistry model is employed with a mixture-fraction dependent activation energy to quantitatively reproduce the dependence of laminar burning rate on equivalence ratio that is typical of hydrocarbon fuels. It is observed that the leading flame edge exhibits a single branch close to the stoichiome...

A Numerical Integration Method by Using Generalized Series of Functions

A Numerical Study of Drop Motion in Poiseuille Flow

The cross-stream migration of a deformable drop in two-dimensional Poiseuille flow at finite Reynolds numbers is studied numerically. In the limit of a small Reynolds number (<1), the motion of the drop depends strongly on the ratio of the viscosity of the drop fluid to the viscosity of the suspending fluid. For a viscosity ratio 0.125, the drop moves toward the centre of the channe while for t...