Clarice M H S Poon

photo

Centre for Mathematical Sciences
University of Cambridge
Wilberforce Rd
Cambridge CB3 0WA
United Kingdom
C.M.H.S.Poon [at] maths.cam.ac.uk

I am a research fellow at PeterhouseUniversity of Cambridge. I completed my PhD at the Cambridge Centre for Analysis, University of Cambridge under the supervision of Anders Hansen.

I spent the academic year 2015/2016 at Universite Paris Dauphine as an FSMP postdoctoral researcher.

Research Interests

Compressed Sensing, Mathematical Signal Processing, Sampling Theory.

Preprints

  1. G. Carlier & C. Poon
    On the total variation Wasserstein gradient flow and the TV-JKO scheme

  2. C. Dossal & V. Duval & C. Poon
    Sampling the Fourier transform along radial lines

  3. C. Poon 
    On Cartesian line sampling with anisotropic total variation regularization.

Reviewed Journal Papers

  1. B. Adcock & A. C. Hansen & C. Poon & B. Roman 
    Breaking the coherence barrier: a new theory for compressed sensing.
    Forum of Mathematics, Sigma 5, 001, 2017.

  2. A. Chambolle & V. Duval & G. Peyré & C. Poon 
    Geometric properties of solutions to the total variation denoising problem.
    Inverse Problems 33.1: 015002, 2016.

  3. R. Assier & N. Peake & C. Poon.
    Spectral study of the Laplace-Beltrami Operator arising in the problem of acoustic wave scattering by a quarter-plane
    . 
    QJMAM 69 (3): 281-317,
    2016.

  4. M. Gataric & C. Poon 
    A practical guide to the recovery of wavelet coefficients from Fourier measurements with [Matlab code]
    SIAM J. Sci. Comput. 38(2): A1075-A1099, 2016.

  5. C. Poon
    Structure dependent sampling in compressed sensing: theoretical guarantees for tight frames.
    Appl. Comput. Harm. Anal. 42(3):402-451, 2017.

  6. C. Poon
    On the role of total variation in compressed sensing.
    SIAM J. Imag. Sci. 8(1): 682-720, 2015.

  7. C. Poon
    A consistent and stable approach to generalized sampling.
    J. Fourier Anal. Appl. 20:985–1019, 2014.

  8. B. Adcock & A. C. Hansen & C. Poon.
    On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate
    . 
    Appl. Comput. Harm. Anal. 
    36(3):387-415, 2013.

  9. B. Adcock & A. C. Hansen & C. Poon.
    Beyond consistent reconstructions: optimality and sharp bounds for generalized sampling, and application to the uniform resampling problem

    SIAM J. Math. Anal.
    45(5):3132-3167, 2013.

Proceedings

  1. A. Chambolle & V. Duval & G. Peyré & C. Poon.
    Total variation denoising and support localization of the gradient
    . 
    NCMIP, 2016.

  2. C. Poon.
    Recovery guarantees for TV regularized compressed sensing
    . 
    Proceedings of the 11th International Conference on Sampling Theory and Applications, 2015.

  3. B. Adcock & A. C. Hansen & C. Poon & B. Roman.
    Overcoming the coherence barrier in compressed sensing
    . 
    Proceedings of the 10th International Conference on Sampling Theory and Applications, 2013.

  4. B. Adcock & A. C. Hansen & C. Poon.
    Optimal wavelet reconstructions from Fourier samples via generalized sampling

    Proceedings of the 10th International Conference on Sampling Theory and Applications, 2013.

Teaching 

Link to Part III course material