High Accuracy Reconstruction from Wavelet Coefficients

Field Reconstruction from Single Scale Continuous Wavelet Coefficients

The redundancy of continuous wavelet transforms implies that the wavelet coefficients are not independent of each other. This interdependence allows the reconstruction or approximation of the wavelet transform, and of the original field, from a subset of the wavelet coefficients. Contrasting with lines of modulus maxima, known to provide useful partition functions and some data compaction, the ...

Reconstruction of Wavelet Coefficients Using Total

We propose a model to reconstruct wavelet coeecients using a total variation minimization algorithm. The approach is motivated by wavelet signal denoising methods, where thresh-olding small wavelet coeecients leads pseudo-Gibbs artifacts. By replacing these thresholded coef-cients by values minimizing the total variation, our method performs a nearly artifact free signal denoising. In this pape...

High-accuracy approximation of effective coefficients

In this contribution we study the calculation of effective coefficients for media with periodic heterogeneities. We use finite element methods of high order which allows to obtain high accuracy with relatively low computational effort. This is shown both theoretically and practically.

Reconstruction of wavelet coefficients using total variation minimization

Computation of wavelet coefficients from average samples

There exist efficient methods to compute the wavelet coefficients of a function f(t) from its point samples f ( T [n + τ ] ) , n ∈ N. However, in many applications the available samples are average samples of the type ∫∞ −∞ f ( T [t + n + τ ] ) u(t)dt, where the averaging function u(t) reflects the characteristic of the acquisition device. In this work, methods to compute the coefficients in a ...