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Wavelet approach to numerical differentiation of noisy functions
Edge detection by using rotational wavelets
1. | Faculty of Science and Technology, University of Macau, Av. Padre Tomas Pereira, Taipa, Macau, Macau |
2. | Department of Image Engineering, Chinese Academy of Sciences, Beijing 100101, China |
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Monika Muszkieta. A variational approach to edge detection. Inverse Problems and Imaging, 2016, 10 (2) : 499-517. doi: 10.3934/ipi.2016009 |
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Yuying Shi, Ying Gu, Li-Lian Wang, Xue-Cheng Tai. A fast edge detection algorithm using binary labels. Inverse Problems and Imaging, 2015, 9 (2) : 551-578. doi: 10.3934/ipi.2015.9.551 |
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Yuying Shi, Zijin Liu, Xiaoying Wang, Jinping Zhang. Edge detection with mixed noise based on maximum a posteriori approach. Inverse Problems and Imaging, 2021, 15 (5) : 1223-1245. doi: 10.3934/ipi.2021035 |
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Maria Michaela Porzio, Flavia Smarrazzo, Alberto Tesei. Radon measure-valued solutions of unsteady filtration equations. Discrete and Continuous Dynamical Systems, 2022 doi: 10.3934/dcds.2022040 |
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Audric Drogoul, Gilles Aubert. The topological gradient method for semi-linear problems and application to edge detection and noise removal. Inverse Problems and Imaging, 2016, 10 (1) : 51-86. doi: 10.3934/ipi.2016.10.51 |
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Kazuhiro Ishige. On the existence of solutions of the Cauchy problem for porous medium equations with radon measure as initial data. Discrete and Continuous Dynamical Systems, 1995, 1 (4) : 521-546. doi: 10.3934/dcds.1995.1.521 |
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Michiel Bertsch, Flavia Smarrazzo, Andrea Terracina, Alberto Tesei. Signed Radon measure-valued solutions of flux saturated scalar conservation laws. Discrete and Continuous Dynamical Systems, 2020, 40 (6) : 3143-3169. doi: 10.3934/dcds.2020041 |
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Yunjuan Jin, Aifang Qu, Hairong Yuan. Radon measure solutions for steady compressible hypersonic-limit Euler flows passing cylindrically symmetric conical bodies. Communications on Pure and Applied Analysis, 2021, 20 (7&8) : 2665-2685. doi: 10.3934/cpaa.2021048 |
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Kanghui Guo, Demetrio Labate, Wang-Q Lim, Guido Weiss and Edward Wilson. Wavelets with composite dilations. Electronic Research Announcements, 2004, 10: 78-87. |
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Hildebrando M. Rodrigues, Tomás Caraballo, Marcio Gameiro. Dynamics of a Class of ODEs via Wavelets. Communications on Pure and Applied Analysis, 2017, 16 (6) : 2337-2355. doi: 10.3934/cpaa.2017115 |
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Stefano Barbero, Emanuele Bellini, Rusydi H. Makarim. Rotational analysis of ChaCha permutation. Advances in Mathematics of Communications, 2021 doi: 10.3934/amc.2021057 |
[12] |
Michael Krause, Jan Marcel Hausherr, Walter Krenkel. Computing the fibre orientation from Radon data using local Radon transform. Inverse Problems and Imaging, 2011, 5 (4) : 879-891. doi: 10.3934/ipi.2011.5.879 |
[13] |
Simon Gindikin. A remark on the weighted Radon transform on the plane. Inverse Problems and Imaging, 2010, 4 (4) : 649-653. doi: 10.3934/ipi.2010.4.649 |
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Alberto Ibort, Alberto López-Yela. Quantum tomography and the quantum Radon transform. Inverse Problems and Imaging, 2021, 15 (5) : 893-928. doi: 10.3934/ipi.2021021 |
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Qiao-Fang Lian, Yun-Zhang Li. Reducing subspace frame multiresolution analysis and frame wavelets. Communications on Pure and Applied Analysis, 2007, 6 (3) : 741-756. doi: 10.3934/cpaa.2007.6.741 |
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P. Cerejeiras, M. Ferreira, U. Kähler, F. Sommen. Continuous wavelet transform and wavelet frames on the sphere using Clifford analysis. Communications on Pure and Applied Analysis, 2007, 6 (3) : 619-641. doi: 10.3934/cpaa.2007.6.619 |
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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 |
[18] |
Michael Dellnitz, O. Junge, B Thiere. The numerical detection of connecting orbits. Discrete and Continuous Dynamical Systems - B, 2001, 1 (1) : 125-135. doi: 10.3934/dcdsb.2001.1.125 |
[19] |
Jan Boman. A local uniqueness theorem for weighted Radon transforms. Inverse Problems and Imaging, 2010, 4 (4) : 631-637. doi: 10.3934/ipi.2010.4.631 |
[20] |
Giuseppe Alì, John K. Hunter. Orientation waves in a director field with rotational inertia. Kinetic and Related Models, 2009, 2 (1) : 1-37. doi: 10.3934/krm.2009.2.1 |
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