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- ...like classical wavelets whose basis functions are predetermined, diffusion wavelets are adapted to the geometry of a given diffusion operator <math>T</math> (e ...ournal|last=Coifman |first=Ronald |author2=Mauro Maggioni |title=Diffusion Wavelets |journal=Applied and Computational Harmonic Analysis |date=May 2008 |volume ...8 KB (1,114 words) - 05:19, 27 February 2025
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- [[File:Complex fbsp wavelet.PNG|thumb|Frequency B-spline wavelets: cubic spline fbsp 3-1-2 complex wavelet.]] In applied mathematics, '''fbsp wavelets''' are '''frequency [[Spline wavelet|B-spline wavelet]]s'''. ...1 KB (204 words) - 21:45, 26 July 2024
- '''Gabor wavelets''' are [[wavelet]]s invented by [[Dennis Gabor]] using complex functions co |title=Image Representation Using 2D Gabor wavelets ...6 KB (855 words) - 04:37, 3 February 2025
- {{Short description|Types of wavelets}} ...l another context, the terminology is used to describe a family of complex wavelets indexed by positive integers which are connected with the derivatives of th ...9 KB (1,399 words) - 06:53, 29 May 2024
- ==Strömberg wavelets of order 0== In the special case of Strömberg wavelets of order 0, the following facts may be observed: ...6 KB (982 words) - 16:04, 23 November 2023
- ...like classical wavelets whose basis functions are predetermined, diffusion wavelets are adapted to the geometry of a given diffusion operator <math>T</math> (e ...ournal|last=Coifman |first=Ronald |author2=Mauro Maggioni |title=Diffusion Wavelets |journal=Applied and Computational Harmonic Analysis |date=May 2008 |volume ...8 KB (1,114 words) - 05:19, 27 February 2025
- ...the mother wavelet, singularities can be identified. Successive derivative wavelets remove the contribution of lower order terms in the signal, allowing the ma ...imension [[box counting]] methods and continuous wavelet transforms, where wavelets at various scales are used instead of boxes. ...6 KB (845 words) - 06:20, 31 July 2024
- * {{citation |last=van den Berg |first=J. C. |year=2004 |title=Wavelets in Physics |publisher=Cambridge |isbn=978-0-521-53353-9}}. ...1 KB (168 words) - 18:29, 8 May 2023
- ...nal to be a [[Sparse matrix|sparse]] presentation, which is the reason why wavelets can be applied for [[image compression]].<ref>{{cite thesis | title = Coiflet-type wavelets: Theory, design, and applications ...8 KB (1,094 words) - 08:13, 13 May 2024
- 2 KB (225 words) - 13:35, 13 December 2024
- ...verbuch, A.Z., Pevnyi, A.B., Zheludev, V.A.|title=Biorthogonal Butterworth wavelets derived from discrete interpolatory splines|journal=IEEE Transactions on Si ...5 KB (759 words) - 12:37, 4 March 2023
- ...n |first=A. |title=Decomposition of Hardy functions into square integrable wavelets of constant shape |journal=SIAM Journal on Mathematical Analysis |volume=15 Vanishing moments are one of the properties for analyzing wavelets. Here are some commonly used functions categorized into '''[[Continuous fun ...14 KB (2,028 words) - 02:23, 24 December 2024
- *{{cite book|last1=Daubechies|first1=Ingrid|title=Ten Lectures on Wavelets (CBMS-NSF conference series in applied mathematics)|date=September 1992|pub [[Category:Wavelets]] ...5 KB (676 words) - 20:39, 25 November 2024
- ...if|thumb|right|Animation showing the compactly supported cardinal B-spline wavelets of orders 1, 2, 3, 4 and 5.]] ...name=Daubechies>{{cite book|last1=Ingrid Daubechies|title=Ten Lectures on Wavelets|url=https://archive.org/details/tenlecturesonwav0000daub|url-access=registr ...33 KB (4,810 words) - 13:12, 14 August 2023
- ...h>\int_{\mathbb{R}}\psi(t)dt=0</math>. Consequently, continuous fractional wavelets must oscillate and behave as bandpass filters in the fractional Fourier dom ...t3 = N.-T. | year = 2015 | title = Multiresolution analysis and orthogonal wavelets associated with fractional wavelet transform | journal = Signal, Image, Vid ...9 KB (1,424 words) - 18:08, 20 November 2023
- ...authorlink2=Karin Bryan--> |year=2008 |title=Discrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing |location=New York |publisher= ...2 KB (283 words) - 15:42, 5 May 2024
- {{Short description|Continuous wavelets}} In mathematics, '''Cauchy wavelets''' are a family of continuous wavelets, used in the [[continuous wavelet transform]]. ...9 KB (1,514 words) - 21:25, 6 February 2025
- ...ard wavelets <math display="inline">\Delta I_+ > 0</math> and for backward wavelets <math display="inline">\Delta I_- < 0</math>. The ability to determine the ...\Delta U</math> are the sums of the amplitudes of the forward and backward wavelets arriving at the measurement site at the time of the measurement and so the ...15 KB (2,258 words) - 00:47, 30 December 2024
- ...ite book|last=Pinsky|first=Mark|title=Introduction to Fourier Analysis and Wavelets|year=2001|publisher=Brooks/Cole|isbn=978-0534376604}}</ref><ref>{{cite book ...3 KB (389 words) - 21:39, 16 February 2023
- ...completely spread out spectrum and have the perfectly incoherent with Haar wavelets. ...onstruct a signal (such as an image) which has a compact representation in wavelets.<ref name="candes07">[[Emmanuel Candès|E. Candes]] and J. Romberg, Sparsity ...8 KB (1,199 words) - 00:31, 15 March 2024
- ...er. As a result, the new wavefront is formed by the superposition of these wavelets.<ref name=":4" />[[File:Birefringence-scheme1.svg|alt=Huygens principle of ...ront can be described as an envelope or tangent surface to these secondary wavelets.<ref name=":1">{{Cite book |last1=Serway |first1=Raymond A. |url=https://bo ...17 KB (2,490 words) - 03:07, 22 February 2025