English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we study the general reconstruction of a compactly supportedfunction from its Fourier coefficients using compactly supported shearletsystems. We assume that only finitely many Fourier samples of the function areaccessible and based on this finite collection of measurements an approximationis sought in a finite dimensional shearlet reconstruction space. We analysethis sampling and reconstruction process by a recently introduced method calledgeneralized sampling. In particular by studying the stable sampling rate ofgeneralized sampling we then show stable recovery of the signal is possibleusing an almost linear rate. Furthermore, we compare the result to thepreviously obtained rates for wavelets.

Generalized sampling reconstruction from Fourier measurements using compactly supported shearlets