Image restoration has been an active research area. Dierent formulations are eective in high qualityrecovery. Partial Dierential Equations (PDEs) have become an important tool in image processingand analysis. One of the earliest models based on PDEs is Perona-Malik model that is a kindof anisotropic diusion (ANDI) lter. Anisotropic diusion lter has become a valuable tool indierent elds of image...

Weighted Myriad Smoothers have recently been proposed as a class of nonlinear l-ters for robust non-Gaussian signal processing in impulsive noise environments. However , weighted myriad smoothers are severely limited, since their weights are restricted to be non-negative. This constraint makes them unusable in bandpass or highpass ltering applications which require negative lter weights. Furthe...

We analyse the relation between innnite-dimensional frame theory and nite-dimensional models for frames as they are used for numerical algorithms. Special emphasis in this paper is on perfect reconstruction oversampled lter banks, also known as shift-invariant frames. For certain nite-dimensional models it is shown that the corresponding nite dual frame provides indeed an approximation of the d...

In adaptive FIR lters, the least-mean-square (LMS) adaptive algorithm uses the a priori error signal to update the lter coeecients. In this paper , we study the forms and properties of a pos-teriori adaptive lter updates in a general context. We provide a technique by which the stability of an adaptive lter's coeecient update can be easily analyzed using the relationship between the a priori an...

This paper probes the spectral theory of the L 1 l-tering/ smoothing problem in the 2 block format. The solution for the lter/smoother which satisses a L 1 performance bound, is presented. Using spectral properties of the problem, it is proved that extending our scope of acceptable compensators from lters to smoothers, we cannot improve the L 1 performance. 1. Introduction and Statement of the ...

In this study we present a data set of synthetic photometry of M-type AGB stars for JWST, WISE and a lter set that will be referred to as the generic lter set, consisting of: UX BX B V R I J J2m H H2m Ks2m K L L’ M M’. 106 di erent models compromised of 4741 spectra have been processed for the three lter sets. We have also tted the models to eight observations of M-type AGB stars made by WISE, ...

The paper presents a series of noise detection experiments in a medical problem of coronary artery disease diagnosis. The following algorithms for noise detection and elimination are tested: a saturation lter, a classiication l-ter, a combined classiication-saturation l-ter, and a consensus saturation lter. The distinguishing feature of the novel consensus saturation lter is its high reliabilit...

F. A. Nielsen, C. Goutte and L. K. Hansen Dept. of Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark Introduction We describe a exible semi-parametric linear time-invariant convolution model for the fMRI response. It extends the FIR model [1] with a Gaussian process prior over the parameters (the FIR coe cients). Linear models with Poisson, Gamma and Gaussian kernels have...

image restoration has been an active research area. dierent formulations are eective in high qualityrecovery. partial dierential equations (pdes) have become an important tool in image processingand analysis. one of the earliest models based on pdes is perona-malik model that is a kindof anisotropic diusion (andi) lter. anisotropic diusion lter has become a valuable tool indierent elds...

RESTORATION Todd L. Veldhuizen and M. Ed Jernigan Dept. of Systems Design Engineering, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1 [email protected] ABSTRACT We consider nite element basis functions for local nonlinear image restoration. The high dimensionality of the problem requires symmetry assumptions to make the lter design process computationally feasible. In cont...