Laurent Demanet

Szego Assistant Professor

Mathematics

 
 
 

Publications and other communications

Publications
  • 2008

    L. Demanet, G. Peyré, Compressive Wave Computation, submitted.

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    E. Candes, L. Demanet, L. Ying, A Fast Butterfly Algorithm for the Computation of Fourier Integral Operators, submitted.

  •          

    L. Demanet, L. Ying, Discrete Symbol Calculus, submitted.

  •  

    L. Demanet, L. Ying, Scattering in Flatland: Efficient Representations via Wave Atoms, submitted.

  • 2007

    L. Demanet, L. Ying, Wave Atoms and Time Upscaling of Wave Equations, to appear in Numer. Math.

  • 2006

    E. Candes, L. Demanet, L. Ying, Fast Computation of Fourier Integral Operators, SIAM J. Sci. Comput. 29-6 (2007) 2464-2493.

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    L. Demanet, L. Ying, Wave Atoms and Sparsity of Oscillatory Patterns, Appl. Comput. Harmon. Anal. 23-3 (2007) 368-387. Matlab code.

  • 2005

    L. Demanet, W. Schlag, Numerical verification of a gap condition for a linearized NLS equation, Nonlinearity 19 (2006) 829-852. Matlab code.

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    E. Candes, L. Demanet, D. Donoho, L. Ying, Fast Discrete Curvelet Transforms, SIAM Multiscale Model. Simul. 5-3 (2006) 861-899 Matlab and C++ code.

  • 2004

    E. Candes, L. Demanet, The Curvelet Representation of Wave Propagators is Optimally Sparse, Comm. Pure Appl. Math vol. 58 issue 11 (2005) 1472-1528

  • 2003

    E. Candes, L. Demanet, Curvelets and Fourier Integral Operators, C. R. Acad. Sci. Paris, Ser. I 336 (2003) 395-398

  • 2001

    J.P. Antoine, L. Demanet, L. Jacques, P. Vandergheynst, Wavelets on the sphere: Implementation and Approximation, Appl. Comput. Harmon. Anal. 13 (2002) 177-200. Matlab code.

Thesis
  • L. Demanet, Curvelets, Wave Atoms and Wave Equations, Ph.D. Thesis, California Institute of Technology, May 2006.

Conference Proceedings and Technical Reports
  • L. Demanet, L. Ying Curvelets and Wave Atoms for Mirror-Extended Images, Proc. SPIE Wavelets XII conf, San Diego, August 2007. Matlab code here and here.

  • L. Demanet, Painless, highly accurate discretizations of the Laplacian on a smooth manifold, Technical report, Stanford, December 2006.

  • L. Ying, L. Demanet, E. Candes, 3D Discrete Curvelet Transform, Proc. SPIE Wavelets XI conf., San Diego, July 2005. C++ code.

  • L. Demanet, B. Song, T. Chan, Image Inpainting by Correspondence Maps: a Deterministic Approach, Proc. VLSM conf., Nice, October 2003.

  • L. Demanet, P. Vandergheynst, Gabor wavelets on the sphere, Proc. SPIE Wavelets X conf., San Diego, August 2003. Matlab code.

  • E. Candes, L. Demanet, Curvelets, Warpings and Optimal Representations of Fourier Integral Operators, Technical Report, November 2002