Parabolic-Like Wavelet Transforms and Relevant Reproducing Formulas
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DOI: 10.1007/s00041-021-09846-x
Abstract: We introduce new anisotropic wavelet-type transforms generated by two components: a wavelet measure (or a wavelet function) and a kernel function that naturally generalizes the Gauss and Poisson kernels. The analogues of Calderon’s reproducing formula… read more here.
Keywords: wavelet; parabolic like; transforms relevant; wavelet transforms ... See more keywords
Uncertainty principles for continuous wavelet transforms related to the Riemann–Liouville operator
Sign Up to like & getrecommendations! Published in 2017 at "Ricerche di Matematica"
DOI: 10.1007/s11587-017-0320-5
Abstract: In this paper we define and study the continuous wavelet transforms associated with the Riemann–Liouville operator, we give nice harmonic analysis results. Next we establish an analogue of Heisenberg’s inequality related to the wavelet transform.… read more here.
Keywords: continuous wavelet; liouville operator; wavelet transforms; wavelet ... See more keywords
Characterization of shallow-marine reservoirs of Lower Eocene carbonates, Pakistan: Continuous wavelet transforms-based spectral decomposition
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Natural Gas Science and Engineering"
DOI: 10.1016/j.jngse.2018.06.010
Abstract: Abstract Seismic qualities expect an energetic part in the Carbonate reservoir portrayal. The precise streamlining of seismic characteristics for predicting the porosity and fractures of thin-bedded carbonate reservoir is the contest for prospect development. The… read more here.
Keywords: porosity; continuous wavelet; reservoir; spectral decomposition ... See more keywords
Continuous Wavelet Transforms for Measuring Roughness of Nanoscale Interfaces
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DOI: 10.1017/s1431927618005731
Abstract: The IR determines the electron transport properties along the interface, and so interfaces can be designed for specific desired outcomes [1]. To be able to relate IR to electron transport properties a detailed description that… read more here.
Keywords: nanoscale interfaces; continuous wavelet; roughness nanoscale; measuring roughness ... See more keywords
Air-coupled impact-echo damage detection in reinforced concrete using wavelet transforms
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DOI: 10.1088/1361-665x/26/2/025018
Abstract: Internal damage detection of reinforced concrete (RC) structures is a challenging field that has garnered increasing attention over the past decades due to a decline in the state of infrastructure in North America. As a… read more here.
Keywords: wavelet; damage detection; wavelet transforms; impact echo ... See more keywords
Phase Retrieval for Wavelet Transforms
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2017.2672727
Abstract: This paper describes a new algorithm that solves a particular phase retrieval problem, with important applications in audio processing: the reconstruction of a function from its scalogram, that is, from the modulus of its wavelet… read more here.
Keywords: wavelet; retrieval wavelet; wavelet transforms; phase retrieval ... See more keywords
EIT Imaging Regularization Based on Spectral Graph Wavelets
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Medical Imaging"
DOI: 10.1109/tmi.2017.2716825
Abstract: The objective of electrical impedance tomographic reconstruction is to identify the distribution of tissue conductivity from electrical boundary conditions. This is an ill-posed inverse problem usually solved under the finite-element method framework. In previous studies,… read more here.
Keywords: spectral graph; eit imaging; wavelet transforms; sparse regularization ... See more keywords