|We present raster image processing algorithms for rehalftoning error di used halftones and producing interpolated error di used halftones. Rehalftoning converts a halftone created by one method into one created by another method. In interpolated halftoning, interpolation increases the image size before halftoning, e.g. for printing. Both rehalftoning and interpolated halftoning introduce blur ...

Voronoi cells and the notion of natural neighbours are used to develop a nite di erence method for the di usion operator on arbitrary unstructured grids. Natural neighbours are based on the Voronoi diagram, which partitions space into closest-point regions. The Sibson and the Laplace (non-Sibsonian) interpolants which are based on natural neighbours have shown promise within a Galerkin framewor...

We consider the parameter estimation problem for the scalar di usion type process described by the stochastic equation with time delay

We consider the parameter estimation problem for the scalar di usion type process described by the stochastic equation with time delay

The paper estimates the speed of convergence of the Euler approximation for di usion processes with jump component which have H older continuous coe cients.

A di¤usion walk in Z2 is a (random) walk with unit step vectors !, ", , and #. Particles from di¤erent sources with opposite charges cancel each other when they meet in the lattice. This cancellation principle is applied to enumerate di¤usion walks in shifted half-planes, quadrants, and octants (a 3-D version is also considered). Summing over time we calculate expected numbers of visits and …rs...

Several simple mathematical models for the turbulent di!usion of a passive scalar "eld are developed here with an emphasis on the symbiotic interaction between rigorous mathematical theory (including exact solutions), physical intuition, and numerical simulations. The homogenization theory for periodic velocity "elds and random velocity "elds with short-range correlations is presented and utili...

Scale invariance, either in space or in time, has been shown in many papers to characterize earthquake distributions. Unfortunately, only little work has been dedicated to looking at the general space-time scaling invariance of seismicity systems, even though a better understanding of how the two domains (spatial and temporal) link together could help to the development of the stochastic dynami...

One of the central problems in stereo matching and other image registration tasks is the selection of opti mal window sizes for comparing image regions This paper addresses this problem with some novel algo rithms based on iteratively di using support at dif ferent disparity hypotheses and locally controlling the amount of di usion based on the current quality of the disparity estimate It also ...

This paper describes continuum models for swarming behavior based on non-local interactions. The interactions are assumed to in uence the velocity of the organisms. The model consists of integro-di erential advection-di usion equations, with convolution terms that describe long range attraction and repulsion. We nd that if density dependence in the repulsion term is of a higher order than in th...