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Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

M. Liebling, T.-F. Bernhard, A.H. Bachmann, L. Froehly, T. Lasser, M. Unser

Proceedings of the SPIE Conference on Coherence Domain Optical Methods and Optical Coherence Tomography in Biomedicine IX, San José CA, USA, January 23-26, 2005, vol. 5690, pp. 397-402.

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.

AUTHOR="Liebling, M. and Bernhard, T.-F. and Bachmann, A.H. and Froehly,
        L. and Lasser, T. and Unser, M.",
TITLE="Continuous Wavelet Transform Ridge Extraction for Spectral
        Interferometry Imaging",
BOOKTITLE="Proceedings of the {SPIE} Conference on Coherence Domain
        Optical Methods and Optical Coherence Tomography in Biomedicine
address="San Jos{\'{e}} CA, USA",
month="January 23-26,",

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