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Continuous wavelet transform and wavelet frames on the sphere using Clifford analysis
1. | Department of Mathematics, University of Aveiro, P-3810-193 Aveiro, Portugal, Portugal, Portugal, Portugal |
[1] |
Petr Kůrka. Minimality in iterative systems of Möbius transformations. Conference Publications, 2011, 2011 (Special) : 903-912. doi: 10.3934/proc.2011.2011.903 |
[2] |
Petr Kůrka. Iterative systems of real Möbius transformations. Discrete and Continuous Dynamical Systems, 2009, 25 (2) : 567-574. doi: 10.3934/dcds.2009.25.567 |
[3] |
Stephan Didas, Joachim Weickert. Integrodifferential equations for continuous multiscale wavelet shrinkage. Inverse Problems and Imaging, 2007, 1 (1) : 47-62. doi: 10.3934/ipi.2007.1.47 |
[4] |
Jon Chaika, Alex Eskin. Möbius disjointness for interval exchange transformations on three intervals. Journal of Modern Dynamics, 2019, 14: 55-86. doi: 10.3934/jmd.2019003 |
[5] |
Xiaoqun Zhang, Tony F. Chan. Wavelet inpainting by nonlocal total variation. Inverse Problems and Imaging, 2010, 4 (1) : 191-210. doi: 10.3934/ipi.2010.4.191 |
[6] |
Philipp Reiter. Regularity theory for the Möbius energy. Communications on Pure and Applied Analysis, 2010, 9 (5) : 1463-1471. doi: 10.3934/cpaa.2010.9.1463 |
[7] |
Konovenko Nadiia, Lychagin Valentin. Möbius invariants in image recognition. Journal of Geometric Mechanics, 2017, 9 (2) : 191-206. doi: 10.3934/jgm.2017008 |
[8] |
Qiang Guo, Dong Liang. An adaptive wavelet method and its analysis for parabolic equations. Numerical Algebra, Control and Optimization, 2013, 3 (2) : 327-345. doi: 10.3934/naco.2013.3.327 |
[9] |
Maciek Korzec, Andreas Münch, Endre Süli, Barbara Wagner. Anisotropy in wavelet-based phase field models. Discrete and Continuous Dynamical Systems - B, 2016, 21 (4) : 1167-1187. doi: 10.3934/dcdsb.2016.21.1167 |
[10] |
Andrey Yu. Verisokin, Darya V. Verveyko, Eugene B. Postnikov, Anastasia I. Lavrova. Wavelet analysis of phase clusters in a distributed biochemical system. Conference Publications, 2011, 2011 (Special) : 1404-1412. doi: 10.3934/proc.2011.2011.1404 |
[11] |
Dorin Ervin Dutkay and Palle E. T. Jorgensen. Wavelet constructions in non-linear dynamics. Electronic Research Announcements, 2005, 11: 21-33. |
[12] |
Akram Kheirabadi, Asadollah Mahmoudzadeh Vaziri, Sohrab Effati. Solving optimal control problem using Hermite wavelet. Numerical Algebra, Control and Optimization, 2019, 9 (1) : 101-112. doi: 10.3934/naco.2019008 |
[13] |
Fred Brackx, Hennie De Schepper, Frank Sommen. A theoretical framework for wavelet analysis in a Hermitean Clifford setting. Communications on Pure and Applied Analysis, 2007, 6 (3) : 549-567. doi: 10.3934/cpaa.2007.6.549 |
[14] |
Jianzhong Wang. Wavelet approach to numerical differentiation of noisy functions. Communications on Pure and Applied Analysis, 2007, 6 (3) : 873-897. doi: 10.3934/cpaa.2007.6.873 |
[15] |
Jingwei Liang, Jia Li, Zuowei Shen, Xiaoqun Zhang. Wavelet frame based color image demosaicing. Inverse Problems and Imaging, 2013, 7 (3) : 777-794. doi: 10.3934/ipi.2013.7.777 |
[16] |
Linh V. Nguyen. Spherical mean transform: A PDE approach. Inverse Problems and Imaging, 2013, 7 (1) : 243-252. doi: 10.3934/ipi.2013.7.243 |
[17] |
Mark Agranovsky, David Finch, Peter Kuchment. Range conditions for a spherical mean transform. Inverse Problems and Imaging, 2009, 3 (3) : 373-382. doi: 10.3934/ipi.2009.3.373 |
[18] |
Wen Huang, Jianya Liu, Ke Wang. Möbius disjointness for skew products on a circle and a nilmanifold. Discrete and Continuous Dynamical Systems, 2021, 41 (8) : 3531-3553. doi: 10.3934/dcds.2021006 |
[19] |
Akram Kheirabadi, Asadollah Mahmoudzadeh Vaziri, Sohrab Effati. Linear optimal control of time delay systems via Hermite wavelet. Numerical Algebra, Control and Optimization, 2020, 10 (2) : 143-156. doi: 10.3934/naco.2019044 |
[20] |
Jianbin Yang, Cong Wang. A wavelet frame approach for removal of mixed Gaussian and impulse noise on surfaces. Inverse Problems and Imaging, 2017, 11 (5) : 783-798. doi: 10.3934/ipi.2017037 |
2020 Impact Factor: 1.916
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