Name
Title | ||
|---|---|---|
Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements. |
Abstract | ||
|---|---|---|
In this paper we analyze two-dimensional wavelet reconstructions from Fourier samples within the framework of generalized sampling. For this, we consider both separable compactly supported wavelets and boundary wavelets. We prove that the number of samples that must be acquired to ensure a stable and accurate reconstruction scales linearly with the dimension of the wavelet reconstruction spaces. We also provide numerical experiments that corroborate our theoretical results. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1137/140959365 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
generalized sampling,wavelets,Fourier measurements,multiresolution analysis,stability | Mathematical optimization,Mathematical analysis,Sampling (signal processing),Legendre wavelet,Multiresolution analysis,Separable space,Fourier transform,Continuous wavelet transform,Discrete wavelet transform,Mathematics,Wavelet | Journal |
Volume | Issue | ISSN |
47 | 2 | 0036-1410 |
Citations | PageRank | References |
2 | 0.39 | 12 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ben Adcock | 1 | 138 | 16.03 |
| Anders C. Hansen | 2 | 100 | 9.35 |
| Gitta Kutyniok | 3 | 325 | 34.77 |
| Jackie Ma | 4 | 2 | 0.39 |