We address the reconstruction problem in frequency-domain optical-coherence tomography (FDOCT) from undersampled measurements within the framework of compressed sensing (CS). Specifically, we propose optimal sparsifying bases for accurate reconstruction by analyzing the backscattered signal model. Although one might expect Fourier bases to be optimal for the FDOCT reconstruction problem, it turns out that the optimal sparsifying bases are windowed cosine functions where the window is the magnitude spectrum of the laser source. Further, the windowed cosine bases can be phase locked, which allows one to obtain higher accuracy in reconstruction. We present experimental validations on real data. The findings reported in this Letter are useful for optimal dictionary design within the framework of CS-FDOCT.

© 2012 Optical Society of America

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

Related Journal Articles

• Exact and efficient signal reconstruction in frequency-domain optical-coherence tomography (JOSAA)
• Hemodynamic measurements from individual blood cells in early mammalian embryos with Doppler swept source OCT (OL)
• Development of a non-uniform discrete Fourier transform based high speed spectral domain optical coherence tomography system (OE)
• Structural and optical properties of wood and wood finishes studied using optical coherence tomography: application to an 18th century Italian violin (AO)
• Multiple-cardiac-cycle noise reduction in dynamic optical coherence tomography of the embryonic heart and vasculature (OL)

Related Conference Papers

• Three-Dimensional Imaging by High-Speed Wide Field Optical Coherence Tomography
• Application of the Maximum Entropy Method to Fourier Domain Optical Coherence Tomography
• Three-Dimensional Imaging by High-Speed Wide Field Optical Coherence Tomography
• Application of the Maximum Entropy Method to Fourier Domain Optical Coherence Tomography
• Power Enhanced and Fast Swept Source for Phase Conjugate Optical Coherence Tomography