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Automated Segmentation of Resistivity Image Logs Using Wavelet Transform

Marina Hruška, William Corea, Donald Seeburger, William Schweller, William H. Crane
2009 Mathematical Geosciences  
We describe a wavelet-transform-based method for automated segmentation of resistivity image logs that takes into account the apparent dip in the data and addresses the problem of discriminating lithofacies  ...  We have developed an algorithm based on this method that might outperform other existing segmentation methods in the cases of low to moderate dip.  ...  Open Access This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided  ... 
doi:10.1007/s11004-009-9236-2 fatcat:3tk32uddnfa77pkutgbgz5ibuy

Higher-Order Properties of Analytic Wavelets

J.M. Lilly, S.C. Olhede
2009 IEEE Transactions on Signal Processing  
The influence of higher-order wavelet properties on the analytic wavelet transform behavior is investigated, and wavelet functions offering advantageous performance are identified.  ...  This is accomplished through detailed investigation of the generalized Morse wavelets, a two-parameter family of exactly analytic continuous wavelets.  ...  mode of the squared modulus of the frequency-domain wavelet.  ... 
doi:10.1109/tsp.2008.2007607 fatcat:kxbwztophvdaljs22usgi3oqmu

Interaction acoustic waves with a layered structure containing layer of bubbly liquid

Damir Gubaidullin, Anatolii Nikiforov, E. Manoach, S. Stoykov, M. Wiercigroch
2018 MATEC Web of Conferences  
The results of a theoretical study of the effect of a bubble layer on the propagation of acoustic waves through a thin three-layered barrier at various angles of incidence are presented.  ...  The barrier consists of a layer of gel with polydisperse air bubbles bounded by layers of polycarbonate.  ...  The fast Fourier transform (FFT) method is used for the calculation of the dynamics of small-amplitude pulse perturbations.  ... 
doi:10.1051/matecconf/201814815006 fatcat:vxtxobr2jzehdidzdkndkfy6zy

Thin-bed prestack spectral inversion

J. Germán Rubino, Danilo Velis
2009 Geophysics  
The results suggest that thin beds can be characterized fully with a moderate to high degree of confidence below tuning, even when using an approximate wavelet spectrum.  ...  We carried out the estimation of the thin-bed parameters in the frequency ͑amplitude spectrum͒ domain using simulated annealing.  ...  These facts encouraged us to propose a different methodology to characterize thin beds using the amplitude spectra of prestack data, because amplitude-versus-angle ͑AVA͒ anomalies are expected to exist  ... 
doi:10.1190/1.3148002 fatcat:tz3qhtqphvdafiq4j7tp3xeop4

Seismic Evidence for a Weak Basal Layer During The 1982 Surge of Variegated Glacier, Alaska, U.S.A

Mark A. Richards
1988 Journal of Glaciology  
Both shear (SV) and compressional (P) reflections from the bottom of Variegated Glacier were obtained before the 1982–83 surge event using explosive sources, and the phases of these reflections (relative  ...  The unexpected P-wave phase reversal might be explained by a thin, mechanically weak or fluidized basal debris layer during surge which acts as a strong seismic absorber and suppresses multiple reflections  ...  Deconvolutions of transverse spread using the source wavelet from the third channel from the top of ( a).  ... 
doi:10.1017/s0022143000009138 fatcat:7th4q6ayq5ehbk4wnsix42srdq

Analysis of potential field data in the wavelet domain

P. Hornby, F. Boschetti, F. G. Horowitz
1999 Geophysical Journal International  
Such a construction leads to relations between the horizontal derivatives of geophysical field measurements at all heights, and the wavelet transform of the zero height field.  ...  Some simple, synthetic examples in two dimensions illustrate one inversion approach based upon the maxima of the wavelet transform (multiscale edges).  ...  Figure 10 . 10 Modulus of the wavelet transform of the gravitational field Density (g m−3) 0.3 0.32 0.40 0.10 caused by the body shown. Figure 12 . 12 Model used in the third synthetic test.  ... 
doi:10.1046/j.1365-246x.1999.00788.x fatcat:5zrfogkkbjbq3iqwjt7vb2nqwy

Scaling and correlation analysis of galactic images

P. Frick, R. Beck, E. M. Berkhuijsen, I. Patrickeyev
2001 Monthly notices of the Royal Astronomical Society  
We recommend as the optimal mathematical tool the wavelet spectrum with a suitable choice of the analysing wavelet.  ...  We introduce the wavelet cross-correlation function which enables to study the correlation between images as a function of scale.  ...  The visit of P.F. to  ... 
doi:10.1046/j.1365-8711.2001.04812.x fatcat:nog5amfj3jbwvd6nkkwjqrhgii

Application of Statistical Techniques to the Analysis of Solar Coronal Oscillations

J. Terradas, R. Oliver, J. L. Ballester
2004 Astrophysical Journal  
The second technique, called complex empirical orthogonal function (CEOF) analysis, is an extension of the well-known principal component analysis, to which the Hilbert transform has been added.  ...  The first technique, called empirical mode decomposition, was developed by Huang and coworkers and can be used to decompose a signal in its characteristic timescales, allowing, among other applications  ...  Hood for useful discussions and the Spanish Ministry of Science and Technology for the funding provided under grant AYA2003-00123.  ... 
doi:10.1086/423332 fatcat:zjlmf7gd3nhrlcbycplqrc4jpe

Wavelet Based Multifractal Formalism: Applications to DNA Sequences, Satellite Images of the Cloud Structure, and Stock Market Data [chapter]

Alain Arneodo, Benjamin Audit, Nicolas Decoster, Jean-Francois Muzy, Cedric Vaillant
2002 The Science of Disasters  
Ciliberto for the permission to use their experimental data.  ...  The other fundamental advantage of using wavelets is that the skeleton defined by the wavelet transform modulus maxima [40, 41] provides an adaptative space-scale partition of the fractal distribution  ...  As originally proposed by Mallat and collaborators [40, 41] , a very efficient way to perform point-wise regularity analysis is to use the wavelet transform modulus maxima (WTMM).  ... 
doi:10.1007/978-3-642-56257-0_2 fatcat:cfufd4eu7rc3vdi73kju3e3qvu

Dating a tropical ice core by time–frequency analysis of ion concentration depth profiles

M. Gay, M. De Angelis, J.-L. Lacoume
2014 Climate of the Past  
We used ion concentration depth profiles collected along a 100 m deep ice core. The results of Fourier time–frequency and wavelet transforms were first compared.  ...  Fourier time–frequency analysis was applied to concentration depth profiles of seven other ions, providing information on the suitability of each of them for the dating of tropical Andean ice cores.  ...  A similar approach was then taken using wavelet transforms.  ... 
doi:10.5194/cp-10-1659-2014 fatcat:wvb6tq5qxnfe5ciu6ojod4srcm

Polyphony of Short-Term Climatic Variations

Dmitry M. Sonechkin, Nadezda V. Vakulenko
2021 Atmosphere  
Using a wavelet analysis on the example of the time series of the global mean near-surface air temperature created at the American National Climate Data Center (NCDC), some complex structures of inter-annual  ...  Each of these external forces is individually known to climatologists.  ...  Conflicts of Interest: The authors declare no conflict of interest. Atmosphere 2021, 12, 1145  ... 
doi:10.3390/atmos12091145 doaj:b591daf59de44e5a8a8506c9172f688b fatcat:z2rwqecoibc53cxwwwudxetwfm

Inversion of shallow-seismic wavefields: II. Inferring subsurface properties from wavefield transforms

Thomas Forbriger
2003 Geophysical Journal International  
Owing to the multi-mode character of shallow-seismic field-data conventional techniques of dispersion analysis are not applicable.  ...  The wavefield transformation removes a remarkable amount of non-linearity from the data. In consequence the proposed method is robust even in the absence of a priori information.  ...  transformation used in eq. 1).  ... 
doi:10.1046/j.1365-246x.2003.01985.x fatcat:bdocr5tooregxfg5xrsgcf2mse

Bayesian full-waveform inversion of tube waves to estimate fracture aperture and compliance

Jürg Hunziker, Andrew Greenwood, Shohei Minato, Nicolás Daniel Barbosa, Eva Caspari, Klaus Holliger
2020 Solid Earth  
The hydraulic and mechanical characterization of fractures is crucial for a wide range of pertinent applications, such as geothermal energy production, hydrocarbon exploration, CO2 sequestration, and nuclear  ...  While the results are consistent with the corresponding evidence from televiewer data and exemplarily illustrate the advantages of using a computationally expensive stochastic, instead of a deterministic  ...  This work has been completed within the Swiss Competence Center on Energy Research -Supply of Electricity, with support of Innosuisse and the Swiss National Science Foundation in the framework of the National  ... 
doi:10.5194/se-11-657-2020 fatcat:65o4sietdbacfpo425ua5zqahu

Image registration methods: a survey

Barbara Zitová, Jan Flusser
2003 Image and Vision Computing  
function design, and image transformation and resampling.  ...  Image registration is the process of overlaying images (two or more) of the same scene taken at different times, from different viewpoints, and/or by different sensors.  ...  Acknowledgements This work has been supported by the grant No. 102/01/P065 of the Grant Agency of the Czech Republic.  ... 
doi:10.1016/s0262-8856(03)00137-9 fatcat:32sicyshtfaktnbjnacvjcway4

Photometric variability of the T Tauri star TW Hya on time-scales of hours to years★

Slavek M. Rucinski, Jaymie M. Matthews, Rainer Kuschnig, Grzegorz Pojmański, Jason Rowe, David B. Guenther, Anthony F. J. Moffat, Dimitar Sasselov, Gordon A. H. Walker, Werner W. Weiss
2008 Monthly notices of the Royal Astronomical Society  
MOST (Microvariability & Oscillations of STars) and ASAS (All Sky Automated Survey) observations have been used to characterize photometric variability of TW Hya on time scales from a fraction of a day  ...  Instead, a spectrum of unstable single periods within the range of 2 - 9 days was observed; the tendency of the periods to progressively shorten was well traced using the wavelet analysis.  ...  This research has made use of the SIMBAD data base, operated at CDS, Strasbourg, France and NASA's Astrophysics Data System (ADS) Bibliographic Services.  ... 
doi:10.1111/j.1365-2966.2008.14014.x fatcat:gmirbmhf25h5jdbbhfjskyq3vu
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