Continuous wavelet transform ridge extraction for spectral interferometry imaging
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.
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.Attached Files
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Additional details
- Eprint ID
- 93155
- Resolver ID
- CaltechAUTHORS:20190221-110528749
- PBEL2-104418
- Swiss National Science Foundation (SNSF)
- Created
-
2019-02-22Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Series Name
- Proceedings of SPIE
- Series Volume or Issue Number
- 5690