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@INPROCEEDINGS{Jaques_WAVELETSANDSPARSITYXVIII_2019,
         author = {Jaques, Christian and Liebling, Michael},
       keywords = {B-splines, computational imaging, Generalized sampling, microscopy, spectral unmixing, wavelets},
       projects = {Idiap, COMETS-M, PLATFORM_MMD, COMPBIO},
          month = aug,
          title = {Generalized temporal sampling with active illumination in optical microscopy},
      booktitle = {Proceeding of the SPIE Conference Optics and Photonics, Wavelets and Sparsity XVIII},
         volume = {11138},
           year = {2019},
      publisher = {SPIE},
       location = {San Diego, California, United States},
   organization = {SPIE},
       abstract = {Generalized sampling is a flexible framework for signal acquisition, which relaxes the need for ideal pre-filters. Nevertheless, implementation remains challenging for dynamic imaging applications because it requires simultaneously measuring multiple overlapping inner-products and because only positive signals (intensities) can be measured by cameras.
We present a method to collect videos of monochromatic objects by projecting the incoming signal at each pixel in a temporal B-spline space of degree 0, 1, or 2 by using a conventional RGB camera and a modulated three-color light source for illumination.
Specifically, we solve the basis function overlap problem by multiplexing the acquisition in different color ranges and use B-spline pieces (which are positive) as  projection kernels of a biorthogonal projection-expansion bases pair. The  steps to recover  signal samples include spectral unmixing and inverse filtering. Reconstructions we obtained from simulated and experimentally-acquired microscopy data demonstrate the feasibility of our approach.},
            pdf = {https://publications.idiap.ch/attachments/papers/2019/Jaques_WAVELETSANDSPARSITYXVIII_2019.pdf}
}