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Topic: Daubechies wavelet


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In the News (Fri 25 Dec 09)

  
  The Daubechies D4 Wavelet Transform
The Daubechies wavelet transform is named after its inventor (or would it be discoverer?), the mathematician Ingrid Daubechies.
One of the elegant features of Lifting Scheme versions of the wavelet transform is the fact that the inverse transform is a mirror of the forward transform, which addition and subtraction operations interchanged.
The final scaling value in the Daubechies D4 transform is not the average of the data set (the average of the data set is 25.9375), as it is in the case of the Haar transform.
www.bearcave.com /misl/misl_tech/wavelets/daubechies   (1837 words)

  
  Encyclopedia: Daubechies wavelet
Ingrid Daubechies (born August 17, 1954) is a Belgian physicist and mathematician.
Wavelets, wavelet analysis, and the wavelet transform refers to the representation of a signal in terms of a finite length or fast decaying oscillating waveform (known as the mother wavelet).
Daubechies wavelets are widely used in solving a broad range of problems, e.g.
www.nationmaster.com /encyclopedia/Daubechies-wavelet   (1309 words)

  
 Wavelet - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-10-18)
All wavelet transforms may be considered to be forms of time-frequency representation and are, therefore, related to the subject of harmonic analysis.
The wavelets forming a CWT are subject to Heisenberg's uncertainty principle and, equivalently, discrete wavelet bases may be considered in the context of other forms of the uncertainty principle.
The wavelet transform is often compared with the Fourier transform, in which signals are represented as a sum of sinusoids.
en.wikipedia.org /wiki/Wavelet   (1020 words)

  
 Daubechies wavelet -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-18)
Named after (additional info and facts about Ingrid Daubechies) Ingrid Daubechies, the Daubechies wavelet is a (A small wave on the surface of a liquid) wavelet used to convolve image data.
The wavelets can be orthogonal, when the scaling functions have the same number of coefficients as the wavelet functions, or biorthogonal, when the number of coefficients differ.
Daubechies wavelet is widely used in solving a broad range of problems, e.g.
www.absoluteastronomy.com /encyclopedia/d/da/daubechies_wavelet.htm   (388 words)

  
 An Introduction to Wavelets: Wavelet Analysis
In Daubechies' original paper (6), she developed specific families of wavelet systems that were very good for representing polynomial behavior.
The wavelet coefficients are arranged so that odd rows contain an ordering of wavelet coefficients that act as the smoothing filter, and the even rows contain an ordering of wavelet coefficient with different signs that act to bring out the data's detail.
The wavelet transform is actually a subset of a far more versatile transform, the wavelet packet transform (8).
www.amara.com /IEEEwave/IW_wave_ana.html   (902 words)

  
 [No title]
Wavelets satisfying certain types of boundary conditions are studied and the concept of 'wavelet probing' is introduced which allows a number of different numerical tasks associated with wavelets to be performed quickly.
Wavelet type frequency decompositions are associated with filter banks, and using this fact, filter bank theory is used to construct multiplicity M wavelet frames and tight frames.
Chirplets are generalized wavelets, related to eachother by two-dimensional affine coordinate transformations (translations, dilations, rotations, and shears) in the time-frequency plane, as opposed to wavelets, related to each other by one-dimensional affine coordinate transformations in the time-domain only (translations and dilations).
ei.cs.vt.edu /~mm/cache/wavelet.txt   (5815 words)

  
 Ingrid Daubechies' Publication List
Daubechies, "Wavelets and signal analysis," paper presented at the 1992 symposium on "Frontiers of Science" organized by the National Academy of Sciences.
Daubechies, "Using Fredholm determinants to estimate the smoothness of refinable functions," in the Proceedings of the International Conference Approximation Theory VIII, Volume 2: Wavelets and Multilevel Approximation, pp.
Daubechies, I. Guskov and W. Sweldens, Commutation for Irregular Subdivision, Constructive Approximation 15, pp.
www.princeton.edu /~icd/publications   (2013 words)

  
 ICEE'99, Czech Republic, Paper No. 363
The wavelet transform is one of the latest methods in mathematical theory of series, in signal processing and in their applications.
The wavelet transform adapts the width of the window in the time as well as in the frequency according to behaviour of the examined signal and therefore belongs to the time-frequency analysis.
Our major target was to develop a teaching methodology of the wavelet theories and their applications by implementation of specialised subjects into both the engineering degree and the PhD studies as well as by suitable implementation of selected parts into the existing system of the classes.
www.ineer.org /Events/ICEE1999/Proceedings/papers/363/363.htm   (3188 words)

  
 Daubechies wavelet - Computer vision - a Wikia wiki   (Site not responding. Last check: 2007-10-18)
The wavelets can be orthogonal, when the scaling functions have the same number of coefficients as the wavelet functions, or biorthogonal, when the number of coefficients differ.
The JPEG 2000 compression standard uses the biorthogonal Daubechies 5/3 wavelet (also called the LeGall 5/3 wavelet) for lossless compression and the Daubechies 9/7 (also known as the Cohen-Daubechies-Fauraue 9/7 or the "CDF 9/7") for lossy compression.
Daubechies wavelet is widely used in solving a broad range of problems, e.g.
computervision.wikia.com /wiki/Daubechies_wavelet   (477 words)

  
 GNU Scientific Library -- Reference Manual - Wavelet Transforms   (Site not responding. Last check: 2007-10-18)
The is the Daubechies wavelet family of maximum phase with k/2 vanishing moments.
Thus the resulting visualization of the coefficients of the wavelet transform in the phase plane is easier to understand.
The "standard" transform performs a complete discrete wavelet transform on the rows of the matrix, followed by a separate complete discrete wavelet transform on the columns of the resulting row-transformed matrix.
www.gnu.org /software/gsl/manual/gsl-ref_30.html   (1074 words)

  
 Smoothness and Vanishing Wavelet Moments   (Site not responding. Last check: 2007-10-18)
Indeed, the exact relationship between the regularity of the scaling filter and the regularity of the scaling and wavelet functions are not exactly known.
Empirical calculations for finite length Daubechies scaling filter shows that the Hölder regularity index increases with increasing length of the filter (hence the number of vanishing wavelet moments).
Finally, since the wavelet functions are linear combinations of translates of the scaling functions, they are as regular as the scaling functions.
cnx.rice.edu /content/m11172/latest   (507 words)

  
 Speech Recognition using Daubechies Wavelets   (Site not responding. Last check: 2007-10-18)
Wavelets are a cross between the impulse and the sinusoid - a wiggle that's localized in time.
Surprisingly such a set is generated by one wavelet prototype or mother wavelet.
Once a set of wavelets is generated from the prototype wavelet, the signal is projected onto the set via the dot product - or in more formal terminology the wavelet transform.
www.owlnet.rice.edu /~elec431/projects97/Dynamic/main.html   (1064 words)

  
 Time-series Forecasting Methods   (Site not responding. Last check: 2007-10-18)
Wavelet Forecasting) are subject to copyright and all rights are reserved to IPredict.
This algorithm uses the Daubechies Wavelet transform to produce a forecast with a proprietary algorithm.
The wavelet transform is the base of a lot of today's algorithms in the field of Digital Signal Processing, Quantum Mechanics, Image Processing and Speech Recognition among others.
www.ipredict.it /ForecastingMethods.asp   (1418 words)

  
 The Wavelet Digest, Volume 7, Issue 5 (May 26, 1998)
The scale and dilation of the wavelet atoms are not dyadic constraints, but the function is modelled as a sum of wavelet functions at arbitrary positions and scales.
The locations of the wavelet atoms and the magnitudes of their coefficients are chosen with respect to a certain marked Poisson process model, allowing intuitive notions about the functions genuinely to be modelled.
The wavelet packet expansion exploits factorized non-separable very fast filters, and is faster by a factor of 4 than a regular convolution and decimation of the image with separable one-dimensional filters.
cm.bell-labs.com /wavelet/digest_07/digest_07.05.html   (7064 words)

  
 Framelets: MRA-Based Constructions of Wavelet Frames - Daubechies, Han, Ron, Shen (ResearchIndex)   (Site not responding. Last check: 2007-10-18)
In particular, we establish general principles and specific algorithms for constructing framelets and tight framelets, and we show how they can be used for systematic constructions of spline, pseudo-spline tight frames and symmetric biframes with short supports and high approximation orders.
0.8: The Wavelet Dimension Function is the Trace Function of a..
Daubechies, B. Han, A. Ron and Z. Shen, Framelets: MRAbased constructions of wavelet frames, preprint (2000).
citeseer.ist.psu.edu /590086.html   (754 words)

  
 Wavelet Basics   (Site not responding. Last check: 2007-10-18)
The function displayed on the left is a so-called wavelet function from the Daubechies family of wavelet functions.
Remarkably, the wavelet function (mother wavelet) is orthogonal to all functions which are obtained by shifting the mother right or left by an integer amount.
The orthonormality of the Daubechies wavelets has a very important mathematical and engineering consequence: any continuous function may be uniquely projected onto the wavelet basis functions and expressed as a linear combination of the basis functions.
nova.stanford.edu /projects/sswrg/basics.html   (870 words)

  
 The Wavelet Digest :: View topic - On shift variance and order of Daubechies wavelet
The only possible wavelet filter is the HAAR wavelet filter (aka the Db1) wavelet filter.
What I meant was, the Undecimated wavelet transform is not the tool to be used for compression (so my statement " u cannot compress the images" was in that context only).
Traditional wavelet compression is carried out with the orthogonal wavelet transform.
www.wavelet.org /phpBB2/viewtopic.php?t=5669   (623 words)

  
 DSPage   (Site not responding. Last check: 2007-10-18)
Wavelets are used in spectrum analysis as an alternative to FFT (Fast Fourier Transform).
I think that wavelets can be implemented in Max/MSP or in a standard programming language like C or Java.
Perhaps wavelets could be used to produce a more accurate pitch detection tool, and then this pitch detection tool could influence an artificially intelligent algorithmic composition system in real time.
www.ics.uci.edu /~aasuncio/180/dspage.htm   (1844 words)

  
 The Wavelet Digest :: View topic - Answer: Is symmlet 8 (S8) considered a 'Daubechies' wavelet?
The Wavelet Digest :: View topic - Answer: Is symmlet 8 (S8) considered a 'Daubechies' wavelet?
Daubechies are far from symmetrical with minimal phase scaling function, small regularity for large support.
Well, the Symlets and the Daubechies are different wavelets!
www.wavelet.org /phpBB2/viewtopic.php?t=5317&view=next   (111 words)

  
 The Wavelet Digest, Volume 5, Issue 9 (November 4, 1996)
Requirements for the wavelet position include a Ph.D. thesis in the general area of wavelet transforms, an interest in developing new computational methods, significant experience in developing or analyzing computer algorithms, a strong mathematical background, an interest in physics, and an interest in applying theoretical knowledge to practical problems.
Matthias Holschneider (hols@titan.univ-rennes1.fr) informed me that the traveling wavelets method is due to M. Holschneider, V. Perrier, and C. Basdevant, and that the first paper about this appears "in the CRAS." The paper from which I learned about the method is: V. Perrier and C. Basdevant, `Travelling Wavelets Method', Proc.
Wavelet People, I maintain a WWW page of wavelet code descriptions, an introductory wavelets summary and bibliography, and other miscellaneous wavelet links at http://www.amara.com/current/wavelet.html.
cm.bell-labs.com /wavelet/digest_05/digest_05.09.html   (4068 words)

  
 [music-dsp] Daubechies wavelet coefficients / wavelet phase r esponse   (Site not responding. Last check: 2007-10-18)
The application was an experimental multi-band compressor/expander style thing, using wavelet decomposition for separating the bands.
The problem was aliasing caused by altering the wavelet domain data before resynthesis.
Using higher order wavelets reduced aliasing only a little, so i don't know if it's ever useful to reconstruct audio from tempered wavelet data (Daubechies or any other).
shoko.calarts.edu /pipermail/music-dsp/2000-August/005280.html   (240 words)

  
 Image Processing with Complex Daubechies Wavelets - Lina (ResearchIndex)   (Site not responding. Last check: 2007-10-18)
In both cases, the efficiency of this multiscale representation relies on the information encoded in the phase of the complex wavelet coefficients.
The Importance of the Phase of the Symmetric Daubechies..
3 From Daubechies to Marr (context) - Lina - 1995
citeseer.ist.psu.edu /lina96image.html   (522 words)

  
 Wavelet Resources
Characterization of functional spaces by means of wavelets 289, 9.1 Wavelets: Unconditional bases 289, 9.2 Characterization of function spaces by means of wavelets 298, 9.3 Wavelets for ${L^1}$(0,1) 304, 9.4 An amusing contrast between wavelet expansions and Fourier series 307, 10.
Wavelets, fractals and order-two densities - K.J. Falconer 39, 3.
This wavelet analysis is performed in conjunction with an empirical orthogonal function analysis and a Fourier analysis to illustrate their complementary capability.
www.angelfire.com /ma/madany/Wavelet1.html   (10926 words)

  
 The Daubechies wavelet transform
The goal with this lab is to design a Daubechies wavelet transform and use it to compress and de-noise one dimensional signals and images.
The multiresolution structure is true for the Daubechies basis you will work with in this lab, and just as the Haar transform is a unitary transform, so is the Daubechies transform you will use for this lab.
A vector which is the wavelet transformation of the vector you gave as input corresponding to the level you gave as an input.
amath.colorado.edu /courses/4720/2000Spr/Labs/DB/db.html   (1234 words)

  
 Wang, J.; Wiederhold, G.; Firschein, O.; Wei, S.: Content-based Image Indexing and Searching Using Daubechies' Wavelets
The indexing algorithm applies a Daubechies' wavelet transform for each of the three opponent color components.
The wavelet coeffcients in the lowest few frequency bands, and their variances, are stored as feature vectors.
To speed up retrieval, a two-step procedure is used that first does crude selection based on the variances, and then refines the search by performing a feature vector match between the selected images and the query.
dbpubs.stanford.edu:8090 /pub/1998-6   (452 words)

  
 Gerald Kaiser
Since 2005: Visiting Scholar, Center for Relativity, University of Texas, Austin
A Friendly Guide to Wavelets, Birkhauser-Boston (1994; sixth printing 1999)
6/90 (with M.B. Ruskai): NSF-CBMS Conference on Wavelets, University of Lowell
www.wavelets.com   (194 words)

  
 SIPG - University of Bath   (Site not responding. Last check: 2007-10-18)
A repository of wavelet filters for you to download and use.
This filter, fbi.wvf, is used by the FBI for fingerprint compression as described in [3].
A zip file is available here that contains Orthonormal wavelets with balanced uncertainty of various lengths.
www.bath.ac.uk /elec-eng/pages/sipg/resource/warehouse.htm   (325 words)

  
 [No title]   (Site not responding. Last check: 2007-10-18)
To: help-octave at bevo dot che dot wisc dot edu Date: Tue, 12 Aug 2003 11:09:28 -0600 Hi, I'm fairly new on this wavelet stuff and need to do a DWT using a daubechies wavelet (my first wavelet foray).
I know that DWT yields a series of coefficients and to produce a scalogram, you plot the energy versus wavelet scale.
I'm going to go to the library today to read the daubechies '92 paper, so I may end up finding these answers, but if anyone can explain it, I'd appreciate it.
www.octave.org /mailing-lists/help-octave/2003/1323   (217 words)

  
 WV_FN_DAUBECHIES   (Site not responding. Last check: 2007-10-18)
The WV_FN_DAUBECHIES function constructs wavelet coefficients for the Daubechies wavelet function.
The returned value of this function is an anonymous structure of information about the particular wavelet.
On output, contains a vector of double-precision wavelet (mother) coefficients.
star.pst.qub.ac.uk /idl/ref10.html   (112 words)

  
 [No title]
computed properly test if forward Daubechies transform for
>(*out)); // check wavelet metadata if (wu->size() != NN) pass = false; if (wu->m_order != ord.GetValue()) pass = false; if (wu->m_level != 0) pass = false; if (wu->m_tree != wtr.GetValue()) pass = false; if (wu->m_type != wtp.GetValue()) pass = false; // compare data from output object with data from input for(unsigned int i=0; i
ex(NN); // example of wavelet sequence from file // input data from file ifstream infile(fname); // file with input data if (!
www.phys.ufl.edu /ligo/wavelet/tWaveletFunctions.cc   (698 words)

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