CaltechAUTHORS
  A Caltech Library Service

Continuous wavelet transform ridge extraction for spectral interferometry imaging

Liebling, Michael and Bernhard, Thierry-François and Bachmann, Adrian H. and Froehly, Luc and Lasser, Theo and Unser, Michael (2005) Continuous wavelet transform ridge extraction for spectral interferometry imaging. In: Coherence Domain Optical Methods and Optical Coherence Tomography in Biomedicine IX. Proceedings of SPIE. No.5690. Society of Photo-optical Instrumentation Engineers (SPIE) , Bellingham, WA, pp. 397-402. ISBN 9780819456649. https://resolver.caltech.edu/CaltechAUTHORS:20190221-110528749

[img] PDF - Published Version
See Usage Policy.

845kB

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20190221-110528749

Abstract

The combination of wavelength multiplexing and spectral interferometry allows for the encoding of multidimensional information and its transmission over a mono-dimensional channel; for example, measurements of a surface's topography acquired through a monomode fiber in a small endoscope. The local depth of the imaged object is encoded in the local spatial frequency of the signal measured at the output of the fiber-decoder system. We propose a procedure to retrieve the depth-map by determining the signal's instantaneous frequency. First, we compute its continuous, complex-valued, wavelet transform (CWT). The frequency signature at every position is contained in the resulting scalogram. We then extract the ridge of maximal response by use of a dynamic programming algorithm thus directly recovering the object's topography. We present results that validate this procedure based on both simulated and experimental data.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1117/12.591440DOIArticle
Additional Information:© 2005 Society of Photo-Optical Instrumentation Engineers (SPIE). M. Liebling is supported by a fellowship from the Swiss National Science Foundation, PBEL2-104418.
Funders:
Funding AgencyGrant Number
Swiss National Science Foundation (SNSF)PBEL2-104418
Subject Keywords:Continuous wavelet transform, dynamic programming, ridge extraction, spectral interferometry, wavelength multiplexing, temporal holography, optical coherence tomography
Series Name:Proceedings of SPIE
Issue or Number:5690
DOI:10.1117/12.591440
Record Number:CaltechAUTHORS:20190221-110528749
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190221-110528749
Official Citation:Michael Liebling, Thierry-Francois Bernhard, Adrian H. Bachmann, Luc Froehly, Theo Lasser, and Michael Unser "Continuous wavelet transform ridge extraction for spectral interferometry imaging", Proc. SPIE 5690, Coherence Domain Optical Methods and Optical Coherence Tomography in Biomedicine IX, (13 April 2005); doi: 10.1117/12.591440; https://doi.org/10.1117/12.591440
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93155
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:22 Feb 2019 15:10
Last Modified:16 Nov 2021 16:55

Repository Staff Only: item control page