Reconstruction guarantees for compressive tomographic holography

Yair Rivenson, Adrian Stern, Joseph Rosen

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

Three-dimensional (3D) object tomography from a two-dimensional recorded hologram is a process of highdimensional data inference from undersampled data. As such, recently, techniques developed in the field of compressive sensing and sparse representation have been applied for this task. While many applications of compressive sensing for tomography from digital holograms have been demonstrated in the past few years, the fundamental limits involved have not yet been addressed. We formulate the guarantees for compressive sensing-based recovery of 3D objects and show their relation to the physical attributes of the recording setup.

Original languageEnglish
Pages (from-to)2509-2511
Number of pages3
JournalOptics Letters
Volume38
Issue number14
DOIs
StatePublished - 15 Jul 2013

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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