Academic Journal
A local Fourier slice equation.
| Τίτλος: | A local Fourier slice equation. |
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| Συγγραφείς: | Lessig C |
| Πηγή: | Optics express [Opt Express] 2018 Nov 12; Vol. 26 (23), pp. 29769-29783. |
| Τύπος έκδοσης: | Journal Article |
| Γλώσσα: | English |
| Στοιχεία περιοδικού: | Publisher: Optica Publishing Group Country of Publication: United States NLM ID: 101137103 Publication Model: Print Cited Medium: Internet ISSN: 1094-4087 (Electronic) Linking ISSN: 10944087 NLM ISO Abbreviation: Opt Express Subsets: PubMed not MEDLINE |
| Imprint Name(s): | Publication: Washington, DC : Optica Publishing Group Original Publication: Washington, DC : Optical Society of America, 1997- |
| Περίληψη: | We present a local Fourier slice equation that enables local and sparse projection of a signal. Our result exploits that a slice in frequency space is an iso-parameter set in spherical coordinates. The projection of suitable wavelets defined separably in these coordinates can therefore be computed analytically, yielding a sequence of wavelets closed under projection. Our local Fourier slice equation then realizes projection as reconstruction with "sliced" wavelets with computational costs that scale linearly in the complexity of the projected signal. We numerically evaluate the performance of our local Fourier slice equation for synthetic test data and tomographic reconstruction, demonstrating that locality and sparsity can significantly reduce computation times and memory requirements. |
| Entry Date(s): | Date Created: 20181125 Date Completed: 20181126 Latest Revision: 20190115 |
| Update Code: | 20260130 |
| DOI: | 10.1364/OE.26.029769 |
| PMID: | 30469936 |
| Βάση Δεδομένων: | MEDLINE |
| ISSN: | 1094-4087 |
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| DOI: | 10.1364/OE.26.029769 |