Continuous wavelet transform ridge extraction for spectral interferometry imaging

Michael Liebling; Thierry-Francois Bernhard; Adrian H. Bachmann; Luc Froehly; Theo Lasser; Michael Unser

doi:10.1117/12.591440

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13 April 2005 Continuous wavelet transform ridge extraction for spectral interferometry imaging

Michael Liebling; Thierry-Francois Bernhard; Adrian H. Bachmann; Luc Froehly; Theo Lasser; Michael Unser

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Proceedings Volume 5690, Coherence Domain Optical Methods and Optical Coherence Tomography in Biomedicine IX; (2005) https://doi.org/10.1117/12.591440
Event: SPIE BiOS, 2005, San Jose, CA, United States

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.

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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

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