in this paper, a nonlinear inverse problem of parabolic type, is considered. by reducing this inverse problem to a system of volterra integral equations the existence, uniqueness, and stability of the solution will be shown.

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 ...

A three-dimensional model for release and di usion of glutamate in the synaptic cleft was developed and solved analytically. The model consists of a source function describing transmitter release from the vesicle and a di usion function describing the spread of transmitter in the cleft. Concentration pro les of transmitter at the postsynaptic side were calculated for di erent transmitter concen...

We study a generalization of the Merton's original problem of optimal consumption and portfolio choice for a single investor in an intertemporal economy. The agent trades between a bond and a stock account and he may consume out of his bond holdings. The price of the bond is deterministic as opposed to the stock price which is modelled as a di ̈usion process. The main assumption is that the coe1...

In this report, we propose a novel and e cient approach for active unsurpervised texture segmentation. First, we show how we can extract a small set of good features for texture segmentation based on the structure tensor and nonlinear di usion. Then, we propose a variational framework that allows to incorporate these features in a level set based unsupervised segmentation process that adaptivel...

We consider strongly coupled quasilinear reaction-di↵usion systems subject to nonlinear boundary conditions. Our aim is to develop a geometric theory for these types of equations. Such a theory is necessary in order to describe the dynamical behavior of solutions. In our main result we establish the existence and attractivity of center manifolds under suitable technical assumptions. The technic...

The transport equation, in highly scattering regimes, has a limit in which the dominant behavior is given by the solution of a di usion equation. Angular discretization like the discrete ordinate method (SN ), the truncated spherical harmonic expansion (PN ) or also nonlinear moment models have the same property. For such systems it would be interesting to construct nite volume schemes on unstr...

|The error di usion algorithm for digital halftoning is equivalent in form to a noise-shaping feedback coder, a class of delta-sigma modulator. The white noise assumption of the quantizer error is known to be false; in fact, the quantizer error is seen to be highly correlated with the input image. To account for this correlation, we use a gain model for the quantizer. This model accurately pred...

Morphological levelings are powerful operators and possess a number of desired properties for the construction of nonlinear scale space image representations. In this paper, a comparison between levelings constrained by di erent multiscale markers namely, reconstruction openings, alternate sequential, isotropic and anisotropic di usion lters was performed. For such a comparison a relation betwe...

Fundamental research of turbulent combustion often requires the unambiguous localization of ame front positions and structures. Laser-induced uorescence (LIF) imaging provides di erent possibilities of detecting two-dimensional distributions of species typical for reactive areas. Simultaneous measurements of hydroxyl and formaldehyde laserinduced uorescence and total number densities by Rayleig...