Relevant bibliographies by topics / Multiresolution wavelet analyses

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  2. Dissertations / Theses
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Academic literature on the topic 'Multiresolution wavelet analyses'

Author: Grafiati
Published: 4 June 2021
Last updated: 7 February 2022

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Journal articles on the topic "Multiresolution wavelet analyses"

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Gao, Jing Li, and Shi Hui Cheng. "The Traits of Canonical Banach Frames Generated by Multiple Scaling Functions and Applications in Applied Materials." Advanced Materials Research 684 (April 2013): 663–66. http://dx.doi.org/10.4028/www.scientific.net/amr.684.663.

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Frame theory has become a popular subject in scientific research during the past twenty years. In our study we use generalized multiresolution analyses in with dilation factor 4. We describe, in terms of the underlying multiresolution structure, all generalized multiresolution analyses Parseval frame wavelets all semi-orthogonal Parseval frame wavelets in . We show that there exist wavelet frame generated by two functions which have good dual wavelet frames, but for which the canonical dual wavelet frame does not consist of wavelets, according to scaling functions. That is to say, the canonica
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Lim, Jae Kun. "Gramian analysis of multivariate frame multiresolution analyses." Bulletin of the Australian Mathematical Society 66, no. 2 (2002): 291–300. http://dx.doi.org/10.1017/s0004972700040132.

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We perform a Gramian analysis of a frame multiresolution analysis to give a condition for it to admit a minimal wavelet set and to show that the frame bounds of the natural generator for the wavelet space of a degenerate frame multiresolution analysis shrink.
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Bhat, Mohd Younus. "Dual wavelets associated with nonuniform MRA." Tamkang Journal of Mathematics 50, no. 2 (2018): 119–32. http://dx.doi.org/10.5556/j.tkjm.50.2019.2646.

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A generalization of Mallats classical multiresolution analysis, based on thetheory of spectral pairs, was considered in two articles by Gabardo and Nashed. In thissetting, the associated translation set is no longer a discrete subgroup of R but a spectrumassociated with a certain one-dimensional spectral pair and the associated dilation is aneven positive integer related to the given spectral pair. In this paper, we construct dualwavelets which are associated with Nonuniform Multiresolution Analysis. We show thatif the translates of the scaling functions of two multiresolution analyses are bio
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San Antolín, A. "On Parseval Wavelet Frames via Multiresolution Analyses in." Canadian Mathematical Bulletin 63, no. 1 (2019): 157–72. http://dx.doi.org/10.4153/s0008439519000341.

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AbstractWe give a characterization of all Parseval wavelet frames arising from a given frame multiresolution analysis. As a consequence, we obtain a description of all Parseval wavelet frames associated with a frame multiresolution analysis. These results are based on a version of Oblique Extension Principle with the assumption that the origin is a point of approximate continuity of the Fourier transform of the involved refinable functions. Our results are written for reducing subspaces.
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Behera, Biswaranjan. "Wavelet packets associated with nonuniform multiresolution analyses." Journal of Mathematical Analysis and Applications 328, no. 2 (2007): 1237–46. http://dx.doi.org/10.1016/j.jmaa.2006.06.068.

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Jawerth, Björn, and Wim Sweldens. "An Overview of Wavelet Based Multiresolution Analyses." SIAM Review 36, no. 3 (1994): 377–412. http://dx.doi.org/10.1137/1036095.

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KING, EMILY J. "SMOOTH PARSEVAL FRAMES FOR L2(ℝ) AND GENERALIZATIONS TO L2(ℝd)". International Journal of Wavelets, Multiresolution and Information Processing 11, № 06 (2013): 1350047. http://dx.doi.org/10.1142/s0219691313500471.

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Wavelet set wavelets were the first examples of wavelets that may not have associated multiresolution analyses. Furthermore, they provided examples of complete orthonormal wavelet systems in L2(ℝd) which only require a single generating wavelet. Although work had been done to smooth these wavelets, which are by definition discontinuous on the frequency domain, nothing had been explicitly done over ℝd, d > 1. This paper, along with another one cowritten by the author, finally addresses this issue. Smoothing does not work as expected in higher dimensions. For example, Bin Han's proof of exist
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Jouini, Abdellatif, and Khalifa Trimèche. "Biorthogonal multiresolution analyses and decompositions of Sobolev spaces." International Journal of Mathematics and Mathematical Sciences 28, no. 9 (2001): 517–34. http://dx.doi.org/10.1155/s0161171201010936.

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The object of this paper is to construct extension operators in the Sobolev spacesHk(]−∞,0])andHk([0,+∞[)(k≥0). Then we use these extensions to get biorthogonal wavelet bases inHk(ℝ). We also give a construction inL2([−1,1])to see how to obtain boundaries functions.
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ANTOLÍN, A. SAN, and R. A. ZALIK. "A FAMILY OF NONSEPARABLE SMOOTH COMPACTLY SUPPORTED WAVELETS." International Journal of Wavelets, Multiresolution and Information Processing 11, no. 02 (2013): 1350014. http://dx.doi.org/10.1142/s0219691313500148.

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We construct smooth nonseparable compactly supported refinable functions that generate multiresolution analyses on L2(ℝd), d > 1. Using these refinable functions we construct smooth nonseparable compactly supported orthonormal wavelet systems. These systems are nonseparable, in the sense that none of its constituent functions can be expressed as the product of two functions defined on lower dimensions. Both the refinable functions and the wavelets can be made as smooth as desired. Estimates for the supports of these scaling functions and wavelets, are given.
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Kui, Zhiqing, Jean Baccou, and Jacques Liandrat. "On the construction of multiresolution analyses associated to general subdivision schemes." Mathematics of Computation 90, no. 331 (2021): 2185–208. http://dx.doi.org/10.1090/mcom/3646.

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Subdivision schemes are widely used in numerical mathematics such as signal/image approximation, analysis and control of data or numerical analysis. However, to develop their full power, subdivision schemes should be incorporated into a multiresolution analysis that, mimicking wavelet analyses, provides a multi-scale decomposition of a function, a curve, or a surface. The ingredients needed to define a multiresolution analysis associated to a subdivision scheme are a decimation scheme and detail operators. Their construction is not straightforward as soon as the subdivision scheme is non-inter
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Dissertations / Theses on the topic "Multiresolution wavelet analyses"

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Kalmbach, Mark Russell. "Wavelet-based multiresolution analyses of signals." Thesis, Monterey, California. Naval Postgraduate School, 1992. http://hdl.handle.net/10945/23812.

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Yu, Xiaojiang Gabardo Jean-Pierre. "Wavelet sets, integral self-affine tiles and nonuniform multiresolution analyses." *McMaster only, 2005.

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Zhao, Fangwei. "Multiresolution analysis of ultrasound images of the prostate." University of Western Australia. School of Electrical, Electronic and Computer Engineering, 2004. http://theses.library.uwa.edu.au/adt-WU2004.0028.

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[Truncated abstract] Transrectal ultrasound (TRUS) has become the urologist’s primary tool for diagnosing and staging prostate cancer due to its real-time and non-invasive nature, low cost, and minimal discomfort. However, the interpretation of a prostate ultrasound image depends critically on the experience and expertise of a urologist and is still difficult and subjective. To overcome the subjective interpretation and facilitate objective diagnosis, computer aided analysis of ultrasound images of the prostate would be very helpful. Computer aided analysis of images may improve diagnostic ac
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Carannante, Simona <1976&gt. "Multiresolution spherical wavelet analysis in global seismic tomography." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2008. http://amsdottorato.unibo.it/871/.

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Every seismic event produces seismic waves which travel throughout the Earth. Seismology is the science of interpreting measurements to derive information about the structure of the Earth. Seismic tomography is the most powerful tool for determination of 3D structure of deep Earth's interiors. Tomographic models obtained at the global and regional scales are an underlying tool for determination of geodynamical state of the Earth, showing evident correlation with other geophysical and geological characteristics. The global tomographic images of the Earth can be written as a linear combina
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Lee, Sang-Mook. "Wavelet-Based Multiresolution Surface Approximation from Height Fields." Diss., Virginia Tech, 2002. http://hdl.handle.net/10919/26203.

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A height field is a set of height distance values sampled at a finite set of sample points in a two-dimensional parameter domain. A height field usually contains a lot of redundant information, much of which can be removed without a substantial degradation of its quality. A common approach to reducing the size of a height field representation is to use a piecewise polygonal surface approximation. This consists of a mesh of polygons that approximates the surfaces of the original data at a desired level of accuracy. Polygonal surface approximation of height fields has numerous applications i
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Zhao, Fangwei. "Multiresolution analysis of ultrasound images of the prostate /." Connect to this title, 2003. http://theses.library.uwa.edu.au/adt-WU2004.0028.

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Lounsbery, John Michael. "Multiresolution analysis for surfaces of arbitrary topological type /." Thesis, Connect to this title online; UW restricted, 1994. http://hdl.handle.net/1773/6998.

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Anton, Wirén. "The Discrete Wavelet Transform." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-55063.

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In this thesis we will explore the theory behind wavelets. The main focus is on the discrete wavelet transform, although to reach this goal we will also introduce the discrete Fourier transform as it allow us to derive important properties related to wavelet theory, such as the multiresolution analysis. Based on the multiresolution it will be shown how the discrete wavelet transform can be formulated and show how it can be expressed in terms of a matrix. In later chapters we will see how the discrete wavelet transform can be generalized into two dimensions, and discover how it can be used in i
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May, Heather. "Wavelet-based Image Processing." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1448037498.

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Yi, Ju Y. "Definition and Construction of Entropy Satisfying Multiresolution Analysis (MRA)." DigitalCommons@USU, 2016. https://digitalcommons.usu.edu/etd/5057.

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This paper considers some numerical schemes for the approximate solution of conservation laws and various wavelet methods are reviewed. This is followed by the construction of wavelet spaces based on a polynomial framework for the approximate solution of conservation laws. Construction of a representation of the approximate solution in terms of an entropy satisfying Multiresolution Analysis (MRA) is defined. Finally, a proof of convergence of the approximate solution of conservation laws using the characterization provided by the basis functions in the MRA will be given.
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Books on the topic "Multiresolution wavelet analyses"

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Kalmbach, Mark Russell. Wavelet-based multiresolution analyses of signals. Naval Postgraduate School, 1992.

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Muszkats, Juan Pablo, Silvia Alejandra Seminara, and María Inés Troparevsky, eds. Applications of Wavelet Multiresolution Analysis. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61713-4.

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Inc, NetLibrary, ed. Wavelet analysis and multiresolution methods: Proceedings of the conference held at the University of Illinois at Urbana-Champaign, Illinois. Marcel Dekker, 2000.

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He, Tian-Xiao. Wavelet Analysis and Multiresolution Methods. CRC, 2000.

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5

Ingrid, Daubechies, Mallat Stephane, and Willsky Alan S, eds. Wavelet transforms and multiresolution signal analysis. IEEE, 1992.

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6

Ouahabi, Abdeldjalil. Signal and Image Multiresolution Analysis. Wiley & Sons, Incorporated, John, 2012.

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Ouahabi, Abdeldjalil. Signal and Image Multiresolution Analysis. Wiley & Sons, Incorporated, John, 2012.

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Ouahabi, Abdeldjalil. Signal and Image Multiresolution Analysis. Wiley & Sons, Incorporated, John, 2012.

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Signal and Image Multiresolution Analysis. Wiley-Interscience, 2012.

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Chan, Tony, Robert Haimes, and Timothy J. Barth. Multiscale and Multiresolution Methods: Theory and Applications. Springer, 2011.

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Book chapters on the topic "Multiresolution wavelet analyses"

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Geronimo, Jeffrey S., Douglas P. Hardin, and Peter R. Massopust. "Fractal Surfaces, Multiresolution Analyses and Wavelet Transforms." In Shape in Picture. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-662-03039-4_17.

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Berliner, L. M., C. K. Wikle, and R. F. Milliff. "Multiresolution Wavelet Analyses in Hierarchical Bayesian Turbulence Models." In Bayesian Inference in Wavelet-Based Models. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0567-8_21.

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Gomes, Sônia M., and Elsa Cortina. "Fourier Analysis of Petrov-Galerkin Methods Based on Biorthogonal Multiresolution Analyses." In Wavelet Theory and Harmonic Analysis in Applied Sciences. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-2010-7_6.

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Walnut, David F. "Multiresolution Analysis." In An Introduction to Wavelet Analysis. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-1-4612-0001-7_7.

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Kaiser, Gerald. "Multiresolution Analysis." In A Friendly Guide to Wavelets. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-8111-1_7.

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Cohen, Albert, and Robert D. Ryan. "Multiresolution analysis." In Wavelets and Multiscale Signal Processing. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-4425-2_2.

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Chan, Y. T. "Multiresolution Analysis, Wavelets and Digital Filters." In Wavelet Basics. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2213-3_3.

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Cohen Tenoudji, Frédéric. "Wavelets; Multiresolution Analysis." In Modern Acoustics and Signal Processing. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42382-1_19.

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Gomes, Jonas, and Luiz Velho. "Multiresolution Representation." In From Fourier Analysis to Wavelets. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22075-8_6.

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Coifman, R. R. "Multiresolution Analysis in Non-Homogeneous Media." In Wavelets. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-97177-8_25.

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Conference papers on the topic "Multiresolution wavelet analyses"

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Uhl, Andreas. "Digital image compression using wavelets and wavelet packets based on nonstationary and inhomogeneous multiresolution analyses." In SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, edited by Andrew F. Laine and Michael A. Unser. SPIE, 1994. http://dx.doi.org/10.1117/12.188787.

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Daneshmand, Farhang, Abdolaziz Abdollahi, Mehdi Liaghat, and Yousef Bazargan Lari. "Free Vibration Analysis of Frame Structures Using BSWI Method." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68417.

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Vibration analysis for complicated structures, or for problems requiring large numbers of modes, always requires fine meshing or using higher order polynomials as shape functions in conventional finite element analysis. Since it is hard to predict the vibration mode a priori for a complex structure, a uniform fine mesh is generally used which wastes a lot of degrees of freedom to explore some local modes. By the present wavelets element approach, the structural vibration can be analyzed by coarse mesh first and the results can be improved adaptively by multi-level refining the required parts o
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de Moraes, Francisco José Vicente, and Hans Ingo Weber. "Deconvolution by Wavelets for Extracting Impulse Response Functions." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4136.

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Abstract The extraction of Impulse Response Functions (Markov parameters) is a major feature on dynamic systems identification. The convolution integral is a most important input-output relationship for linear systems. Existing methods for calculating the IRFs from the convolution integral are carried out in time or frequency domains. The orthonormal wavelet transform consists on decomposing a given signal on mutually orthogonal local basis functions. It is possible to make use of the orthogonal properties of wavelets for calculating the convolution integral. The wavelet domain preserves the t
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Kimura, Motoaki, Masahiro Takei, Atushi Saima, Karen Vierow, Yoshifuru Saito, and Kiyoshi Horii. "Temperature Boundary Analysis of Condensation Jets Using Discrete Wavelets Multiresolution and 2 Dimensional Image." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45027.

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This paper describes the application of discrete wavelet transform to the analysis of condensation jets in order to clarify the fluid and heat transfer phenomenon. The condensation jets in nozzle vicinity are experimentally visualized with laser light sheet method to obtain the condensation particle density images of the jets. The image of the condensation particle density in the jet is decomposed to the mean value and the fluctuation value images by means of wavelet multiresolution. The dominant temperature boundary and the mean component outside boundary were provided from wavelet separation
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Sevi, Harry, Gabriel Rilling, and Pierre Borgnat. "Multiresolution analysis of functions on directed networks." In Wavelets and Sparsity XVII, edited by Yue M. Lu, Manos Papadakis, and Dimitri Van De Ville. SPIE, 2017. http://dx.doi.org/10.1117/12.2274341.

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Jadhav, Pankaj, Debabrata Datta, and Siddhartha Mukhopadhyay. "Signature Matching For Seismic Signal Identification." In International Conference on Women Researchers in Electronics and Computing. AIJR Publisher, 2021. http://dx.doi.org/10.21467/proceedings.114.17.

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Seismic signals can be classified as natural or manmade by matching signature of similar events that have occurred in the past. Waveform matching techniques can be effectively used for discrimination since the events with similar location and focal mechanism have similar waveform irrespective of magnitude. The seismic signals are inherently non-stationary in nature. The analysis of such signals can be best achieved in multiresolution framework by resolving the signal using continuous wavelet transform (CWT) in time-frequency plane. In this paper similarity testing and classification of nuclear
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Yi Liu and Xu Cheng. "The application of wavelet multiresolution technology in medical image analysis." In 2007 International Conference on Wavelet Analysis and Pattern Recognition. IEEE, 2007. http://dx.doi.org/10.1109/icwapr.2007.4420719.

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Feng Chen and Yun-Feng Li. "A multiresolution segmentation method for tree crown image using wavelets." In 2007 International Conference on Wavelet Analysis and Pattern Recognition. IEEE, 2007. http://dx.doi.org/10.1109/icwapr.2007.4421698.

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Sekino, Hideo, Takumi Okamoto, and Shinji Hamada. "Solution of wave-equation using multiresolution multiwavelet basis function." In 2010 International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR). IEEE, 2010. http://dx.doi.org/10.1109/icwapr.2010.5576390.

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Wen-Bin Zhao, Yan-Ning Zhang, Fu-Zeng Yang, and Zhou Tao. "Curvature View Based Skull Multiresolution Feature Representation and Recognition." In International Conference on Wavelet Analysis and Pattern Recognition, ICWAPR '07. IEEE, 2007. http://dx.doi.org/10.1109/icwapr.2007.4421742.

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Reports on the topic "Multiresolution wavelet analyses"

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Ludwig, Francis L., James C. Cross, Street III, and Robert L. Multiresolution Feature Analysis and Wavelet Decomposition of Atmospheric Flows. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada294418.

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Street, Robert L., Jeffrey R. Koseff, Francis L. Ludwig, and Paul Piccirillo. Analysis of Patterns of Atmospheric Motions at Different Scales by Use of Multiresolution Feature Analysis and Wavelet Decomposition. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada351189.

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