منابع مشابه
Optimally Matched Wavelets
This thesis addresses the problem of constructing a discrete wavelet approximating the shape of a given pattern. For the design of a biorthogonal wavelet basis we present an approach, which is based on the lifting scheme. The lifting scheme is a parametrisation of all biorthogonal wavelets. It reduces our problem to a linear least squares problem. The special structure of the problem allows for...
متن کاملOptimally Localized Wavelets and Smoothing Kernels
It is well-known that the Gaussian functions and, more generally, their modulations-translations (the Gabor functions) have the unique property of being optimally localized in space and frequency in the sense of Heisenberg’s uncertainty principle. In this thesis, we address the construction of complex wavelets modeled on the Gabor function, and smoothing kernels based on the Gaussian. We procee...
متن کاملApplications of optimally local interpolation to interpolatory approximants and compactly supported wavelets
The objective of this paper is to introduce a general scheme for the construction of interpolatory approximation formulas and compactly supported wavelets by using spline functions with arbitrary (nonuniform) knots. Both construction procedures are based on certain “optimally local” interpolatory fundamental spline functions which are not required to possess any approximation property.
متن کاملSpeed dependence of atomic stick-slip friction in optimally matched experiments and molecular dynamics simulations.
The atomic stick-slip behavior of a Pt tip sliding on a Au(111) surface is studied with atomic force microscopy (AFM) experiments and accelerated (i.e., reduced sliding speed) molecular dynamics (MD) simulations. The MD and AFM conditions are controlled to match, as closely as possible, the geometry and orientation, load, temperature, and compliance. We observe clear stick-slip without any dama...
متن کاملA Novel Image Denoising using Matched Partial Biorthogonal Wavelets and Adaptive Thresholding
The denoising of a natural image corrupted by Gaussian noise is a problem in signal or image processing Even though much work has been done in the field of wavelet thresholding, most of it was focused on statistical modeling of wavelet coefficients and the optimal choice of thresholds. This paper describes a new method for suppression of noise in image by fusing the wavelet Denoising technique ...
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ژورنال
عنوان ژورنال: PAMM
سال: 2004
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200410274