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Items are sorted chronologically within each section. MATLAB or C code for most papers is available upon request.

peer-reviewed journal papers

• P. D. Tafti and M. Unser, On regularized reconstruction of vector fields, IEEE Trans. Image Process., vol. 20, no. 11, pp. 3163–78, 2011.
  [doi:10.1109/TIP.2011.2159230] [pdf] [MATLAB code]
• M. Unser and P. D. Tafti, Stochastic models for sparse and piecewise-smooth signals, IEEE Trans. Signal Process., vol. 59, no. 3, pp. 989–1006, 2011.
  [doi:10.1109/TSP.2010.2091638] [ps/pdf]
• P. D. Tafti and M. Unser, Fractional Brownian vector fields, SIAM Multiscale Model. Simul., vol. 8, no. 5, pp. 1645–70, 2010.
  [doi:10.1137/090752638] [MR2728703] [ps/pdf] [gallery] [MATLAB code]
  most downloaded paper of the journal in Oct. 2010
• P. D. Tafti, D. Van De Ville, and M. Unser, Invariances, Laplacian-like wavelet bases, and the whitening of fractal processes, IEEE Trans. Image Process., vol. 18, no. 4, pp. 689–702, 2009.
  [doi:10.1109/TIP.2008.2011451] [MR2591272] [ps/pdf] [MATLAB code]
• P. D. Tafti, S. Shirani, and X. Wu, On interpolation and resampling of discrete data, IEEE Signal Process. Lett., vol. 13, no. 12, pp. 733–6, 2006.
  [doi:10.1109/LSP.2006.879854] [ps/pdf] [C code]

peer-reviewed conference papers

• P. D. Tafti, R. Delgado-Gonzalo, A. F. Stalder, and M. Unser, Variational enhancement and denoising of flow field images, Proc. 8th IEEE Int. Symp. Biomed. Imaging (ISBI 2011), pp. 1061–4, Chicago, IL, 2011.
  [ps/pdf] [MATLAB code]
  Best Student Paper Award, ISBI 2011
• P. D. Tafti and M. Unser, Fractional Brownian models for vector field data, Proc. 2010 IEEE Int. Symp. Inf. Theory (ISIT 2010), pp. 1738–42, Austin TX, 2010.
  [ps/pdf]
• P. D. Tafti, R. Delgado-Gonzalo, A. F. Stalder, and M. Unser, Fractal modelling and analysis of flow-field images, Proc. 7th IEEE Int. Symp. Biomed. Imaging (ISBI 2010), pp. 49–52, Rotterdam, The Netherlands, 2010.
  [ps/pdf] [MATLAB code]
• R. Delgado-Gonzalo, P. D. Tafti, and M. Unser, Fractional Laplacian pyramids, Proc. 2009 IEEE Int. Conf. Image Process. (ICIP 2009), Cairo, Egypt, 2009.
• P. D. Tafti and M. Unser, Self-similar random vector fields and their wavelet analysis, Proc. SPIE, Vol. 7446, pp. 74460Y-1–8, 2009.
  [ps/pdf]
• P. D. Tafti and X. Wu, Automatic tonal harmonization for multi-spectral mosaics, Proc. 2008 IEEE Int. Conf. Image Process. (ICIP 2008), pp. 1876–9, San Diego CA, 2008.
  [ps/pdf]
• P. D. Tafti, D. Van De Ville, and M. Unser, Innovation modelling and wavelet analysis of fractal processes in bio-imaging, Proc. 5th IEEE Int. Symp. Biomed. Imaging (ISBI 2008), pp. 1501–4, Paris, France, 2008.
  [ps/pdf]
• P. D. Tafti, S. Shirani, and X. Wu, Multi-dimensional average-interpolating refinement on arbitrary lattices, Proc. 2005 IEEE Int. Conf. Acoust. Speech Signal Process. (ICASSP 2005), Philadelphia PA, 2005.

(not entirely randomly) selected talks

• Fractional Brownian vector fields, Laboratoire de Physique, ENS Lyon, 13 Dec. 2010.
  [abstract] [slides (pdf)]
• From sample probabilities to random processes: Life as a (somewhat frustrated) measure non-theorist, BIG, EPFL, 25 Oct. 2010.
  [abstract] [slides (huge = 28MiB pdf)]

theses

• P. D. Tafti, Self-Similar Vector Fields, PhD Thesis, École Polytechnique Fédérale de Lausanne (EPFL), 2011.
  [doi:10.5075/epfl-thesis-5167] [pdf] [slides from the private defence (pdf)] [slides from the public defence (huge pdf)]
• P. D. Tafti, On Multi-Scale Refinement of Discrete Data, MASc Thesis, McMaster University, Hamilton, Ontario, Canada, 2005.
  [pdf]