In this paper we present a method for nonlinear diffusion of matrix-valued data. We adapt this technique to the well-known linear structure tensor in order to develop a new nonlinear structure tensor. It is then used to improve the optic flow estimation methods of Lucas and Kanade and its spatio-temporal variant of Bigün et al.. Our experiments show that the nonlinear structure tensor leads to ...

We present a study of the flame-embedding concept, introduced in [1] as an efficient approach for large-eddy simulation of turbulent combustion at high Reynolds and Damköhler numbers. In flame embedding, the combustion zone is modeled as an unsteady flame modified by the local tangential strain rate, with the latter extracted every time step from the flow field simulations. The flame structure ...

Heart disease can negatively influence cardiac pump function. To assess cardiac tissue function, a method based on classical optical flow theory applied in the spectral domain is presented. Assumption of pixel intensity conservation is replaced by assumption of spatial phase conservation. Simultaneous application to two independent observations of the same optical flow field removes the necessi...

Early cognitive vision is one of the most important perceptive functions in the mammalian cerebral cortex. During information processing in the visual cortex, many bioelectrical signals are exchanged between cortical neurons, across their synaptic interconnections. When modelling visual cortex processing a dynamic scene can be modelled as an optical flow field, which can, in turn, be mapped on ...

The objective of this research is to develop an accurate numerical method to be used in showing the deformation of a liquid fuel droplet in a convective field. To simultaneously solve the internal liquid droplet flow field as well as the external gas phase flow field, a nonstaggered rectangular grid system without any coordinate transformation is used. Transition from the gas field to the liqui...

The study of Taylor-Couette vortex flow with small aspect ratio is great interesting. Additionally, the importance of magnetic fluids has been increasing in the engineering applications of various fields, and this leads to increase the interests to investigate the flow of magnetic fluids, which have the reactivity to magnetic field. Then Taylor-Couette vortex flow with magnetic fluids is expect...

The objective of this research is to develop an accurate numerical method to be used in showing the deformation of a liquid fuel droplet in a convective field. To simultaneously solve the internal liquid droplet flow field as well as the external gas phase flow field, a nonstaggered rectangular grid system without any coordinate transformation is used. Transition from the gas field to the liqui...

Strange attractors are stable sets of vector field flows that have a fractal geometric structure in one dimension, and smooth surface behaviour in the other two. Previous visualization methods show the flow dynamics well, but not the fractal structure. Here we approximate the attractor by polygonal surfaces, which reveal the fractal geometry. We start with a polygonal approximation which neglec...