2D and 3D Multiscale Geometric Transforms

author: Jean-Luc Starck, LCS - Laboratoire de Cosmologie et Statistiques, French Alternative Energies and Atomic Energy Commission (CEA)
published: Jan. 23, 2012,   recorded: December 2011,   views: 304
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Slides

Slides
0:00 To Be Announced
0:28 Audience“s Choice
1:35 2D and 3D Multiscale Geometric Transforms
1:43 What is a good sparse representation for data?
1:58 Local DCT / Wavelet transform / Curvelet transform
2:40 Morphological Diversity
3:36 Wavelets and edges
4:18 SNR = 0.1 - 1
4:30 SNR = 0.1 - 2
4:56 Undecimated Wavelet Filtering (3 sigma)
5:05 Ridgelet Filtering (5sigma)
5:41 Continuous Ridgelet Transform
6:02 The ridgelet coefficients of an object f are given by analysis
6:54 Ridgelet Transform
7:17 Local Ridgelet Transform
7:51 Poisson Noise and Line-Like Sources Restoration (MS-VST + Ridgelet)
8:15 The Curvelet Transform (CUR01)
9:08 NGC2997
9:10 Undecimated Isotropic WT
9:16 Partitioning
9:21 The Fast Curvelet Transform
10:01 The Curvelet Transform
10:10 Contrast Enhancement Using The Curvelet Transform
11:04 Contrast Enhancement - 1
11:11 Contrast Enhancement - 2
11:13 Contrast Enhancement - 1
11:15 Contrast Enhancement - 2
11:21 Deconvolution
11:56 3D Multiscale Geometric Transforms
12:10 3D Wavelets
12:21 3D extension of Curvelet
12:42 3D beamlet transform
13:43 Discrete 3D Beamlet transform
14:15 Discrete 3D BeamCurvelet transform
14:54 3D BeamCurvelets - 1
15:01 3D BeamCurvelets - 2
15:29 3D ridgelet transform
15:45 3D Discrete ridgelet transform
16:16 Discrete 3D RidCurvelet transform
16:28 3D RidCurvelets
16:31 Denoising
17:02 3D Plane detection level
17:38 3D Line detection level
17:52 Combined denoising
18:19 Combined denoising results - 1
18:26 Combined denoising results - 2
18:55 Fast second generation 3D curvelets - 1
19:33 Fast second generation 3D curvelets - 2
20:35 Fast second generation 3D curvelets - 3
20:39 Fast second generation 3D curvelets - 4
20:57 Example: denoising
21:22 Example: video denoising
21:41 Example: hyperspectral data denoising
21:54 Sparse component separation
22:32 Results
23:23 Inpainting - 1
23:48 Inpainting - 2
24:06 Inpainting - 3
24:21 Inpainting - 4
24:25 Inpainting - 5
24:34 Conclusions

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