Detection of Edges from Nonuniform Fourier Data
| Autor: | Anne Gelb, Taylor Hines |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Theoretical computer science
Non-uniform discrete Fourier transform Discrete-time Fourier transform Applied Mathematics General Mathematics Short-time Fourier transform Discrete Fourier transform symbols.namesake Fourier analysis Phase correlation Discrete Fourier series symbols Algorithm Fourier series Analysis Mathematics |
| Zdroj: | Journal of Fourier Analysis and Applications. 17:1152-1179 |
| ISSN: | 1531-5851 1069-5869 |
| DOI: | 10.1007/s00041-011-9172-7 |
| Popis: | Edge detection is important in a variety of applications. While there are many algorithms available for detecting edges from pixelated images or equispaced Fourier data, much less attention has been given to determining edges from nonuniform Fourier data. There are applications in sensing (e.g. MRI) where the data is given in this way, however. This paper introduces a method for determining the locations of jump discontinuities, or edges, in a one-dimensional periodic piecewise-smooth function from nonuniform Fourier coefficients. The technique employs the use of Fourier frames. Numerical examples are provided. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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