Abstract We construct orthonormal bases of compactly supported wavelets, with arbitrarily high regularity. The order of regularity increases linearly with the support width. We start by reviewing the concept of multiresolution analysis as well as several algorithms in vision decomposition and reconstruction. The construction then follows from a synthesis of these different approaches.
Communications on Pure and Applied Mathematics Template
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About the Communications on Pure and Applied Mathematics format
Communications on Pure and Applied Mathematics is a peer-reviewed journal published by Wiley, covering Advanced Mathematical Modeling in Engineering, Advanced Mathematical Physics Problems, Nonlinear Partial Differential Equations. Over its lifetime it has published 4,393 papers, which have received 340,341 citations.
| Publisher | Wiley |
|---|---|
| Reference style | Author–year (Chicago) Author–year — (Smith, 2023) in the text Smith, Ada, Ben Jones, and Cara Lee. 2023. "A Representative Article Title." Communications on Pure and Applied Mathematics 12 (3): 45–58.
Formats any DOI in Communications on Pure and Applied Mathematics style. No sign-up. |
| Publishes research in | Advanced Mathematical Modeling in Engineering Advanced Mathematical Physics Problems Nonlinear Partial Differential Equations Geometric Analysis and Curvature Flows Navier-Stokes equation solutions |
| ISSN | 0010-3640 |
| Citation impact (2-yr) | 1.52 |
| h-index | 260 |
| i10-index | 2,392 |
| Article processing charge | $4,740 |
| Top institutions publishing here | Courant Institute of Mathematical Sciences |
| Journal website | onlinelibrary.wiley.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Communications on Pure and Applied Mathematics per year
Citation impact of Communications on Pure and Applied Mathematics by publication year
Citations each year’s papers have accumulated so far — the most recent years are still building up.
Most-cited papers in Communications on Pure and Applied Mathematics
Abstract Suppose we wish to recover a vector x 0 ∈ ℝ 𝓂 (e.g., a digital signal or image) from incomplete and contaminated observations y = A x 0 + e ; A is an 𝓃 × 𝓂 matrix with far fewer rows than columns (𝓃 ≪ 𝓂) and e is an error term. Is…
Abstract We consider linear inverse problems where the solution is assumed to have a sparse expansion on an arbitrary preassigned orthonormal basis. We prove that replacing the usual quadratic regularizing penalties by weighted 𝓁 p ‐penalties on the coefficients of such expansions, with 1 ≤ p ≤ 2, still regularizes the problem. Use of such…