Wavelets are both a powerful conceptual tool and form the basis of many fast and robust algorithms. They are at the core of many of the digital image processing tools developed in the lab. Specifically, we developped wavelets and spline-like basis functions tailored to the specificities of digital holography (Fresnelets) and computerized tomography. We are particularly interested in applications related to optics, such as the modeling of optical systems, phase-retrieval, digital holography, interferometry, microscopy, or to all forms of biomedical imaging.
ECE 258B: Multirate Digital Signal Processing: graduate class on wavelets and more.
Since 2005, Michael Liebling is a member of the technical committee for the Wavelets conference (held every other year as part of SPIE's Optics & Photonics symposium in San Diego, CA) during which he organized special sessions on Wavelets in Optics (2005) and Wavelets in Bio-imaging (2009; together with Jean-Christophe Olivo-Marin).
While a graduate student at EPFL, Michael Liebling organized the 2003 Catch-a-Wavelet seminar series.
M. Liebling, H. Ranganathan, "Wavelet Domain Mutual Information Synchronization of Multi-Modal Cardiac Microscopy Image Sequences," invited paper, Proceedings of the SPIE Conference Optics & Photonics, Wavelets XIII, San Diego CA, USA, August 2-4, 2009, vol. 7446, 744602, 6 pages, doi: 10.1117/12.826519.
M. Liebling, A. S. Forouhar, M. Gharib, S. E. Fraser, M. E. Dickinson, "Four-Dimensional Cardiac Imaging in Living Embryos via Postacquisition Synchronization of Nongated Slice Sequences," Journal of Biomedical Optics, vol. 10, no. 5, eid 054001, 10 pages, 2005.
M. Liebling, T.-F. Bernhard, A. H. Bachmann, L. Froehly, T. Lasser, M. Unser, "Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging," Proceedings of the SPIE Conference BiOS 2005, Coherence domain optical methods and optical coherence tomography in biomedicine IX, San Jose CA, USA, January 22-27, 2005, vol. 5690, pp 397-402.
M. Liebling, T. Blu, M. Unser, "Fresnelets: New Multiresolution Wavelet Bases for Digital Holography," IEEE Transactions on Image Processing, vol. 12, no. 1, pp. 29-43, January 2003.