4 research outputs found
Polyharmonic Daubechies type wavelets in Image Processing and Astronomy, II
We consider the application of the polyharmonic subdivision wavelets (of
Daubechies type) to Image Processing, in particular to Astronomical Images. The
results show an essential advantage over some standard multivariate wavelets
and a potential for better compression.Comment: 9 page
Compressive Sensing for Polyharmonic Subdivision Wavelets With Applications to Image Analysis
We apply successfully the Compressive Sensing approach for Image Analysis
using the new family of Polyharmonic Subdivision wavelets. We show that this
approach provides a very efficient recovery of the images based on fewer
samples than the traditional Shannon-Nyquist paradigm. We provide the results
of experiments with PHSD wavelets and Daubechies wavelets, for the Lena image
and astronomical images.Comment: 11 pages, 10 figure
Quantization Opportunities for Polyharmonic Subdivision Wavelets Applied to Astronomical Images
We continue the study of a new family of multivariate wavelets which are
obtained by "polyharmonic subdivision". We provide the results of experiments
considering the distribution of the wavelet coefficients for the Lena image and
for astronomical images. The main purpose of this investigation is to find a
clue for proper quantization algorithms.Comment: 10 pages, 12 figure
Regularity of generalized Daubechies wavelets reproducing exponential polynomials
We investigate non-stationary orthogonal wavelets based on a non-stationary
interpolatory subdivision scheme reproducing a given set of exponentials. The
construction is analogous to the construction of Daubechies wavelets using the
subdivision scheme of Deslauriers-Dubuc. The main result is the smoothness of
these Daubechies type wavelets