Publications

  1. P. Hernandez-Herrera , D. Jimenez, I. A. Kakadiaris, A. Koutsogiannis, D. Labate, F. Laezza and E. Papadakis, "A harmonic analysis view on neuroscienece imaging", submitted p.24 (2012).
    [PDF file]

  2. G. R. Easley, D. Labate and V. Patel, "Hyerbolic Shearlets", preprint (2012).
    [PDF file]

  3. G. Kutyniok and D. Labate, "Shearlets: Multiscale Analysis for Multivariate Data", Birkhäuser, 2012.
    [Book Cover]

  4. K. Guo, and D. Labate, "The Construction of Smooth Parseval Frames of Shearlets", submitted p.25 (2011).
    [PDF file]

  5. G. R. Easley, D. Labate and V. Patel, "Directional multiscale processing of images using wavelets with composite dilations", submitted, p.35 (2011).
    [PDF file]

  6. R. Azencott, B. Bodmann, D. Labate, A. Sen, I. Patrikeev, M. Motamedi "3D-Image Reconstruction in Highly Collimated 3D Tomography" submitted (2011).
    [PDF file]

  7. K. Guo, and D. Labate, "Optimally Sparse Representations of 3D Data with C2 Surface Singularities using Parseval Frames of Shearlets", to appear in SIAM J Math. Anal. (2012).
    [PDF file]

  8. P. S. Negi and D. Labate, "3D Discrete Shearlet Transform and Video Processing", to appear in IEEE Trans. Image Process. (2011).
    [PDF file]

  9. D. Labate and P. S. Negi, "3D Discrete Shearlet Transform and Video Denoising", Wavelets XIV (San Diego, CA, 2011), SPIE Proc. (2011).
    [PDF file]

  10. G. R. Easley, D. Labate and V. Patel, "Multi-Composite Wavelet Estimations", Wavelets XIV (San Diego, CA, 2011), SPIE Proc. (2011).
    [PDF file]

  11. K. Guo, and D. Labate, "Characterization of Piecewise-Smooth Surfaces using the 3D Continuous Shearlet Transform", to appear in J. Fourier Anal. Appl. p.28 (2011).
    [PDF file]

  12. G. R. Easley, and D. Labate, "Critically Sampled Wavelets with Composite Dilations", to appear in IEEE Trans. Image Process., pp.22 (2011).
    [PDF file]

  13. R. Azencott, B. Bodmann, D. Labate, A. Sen, K. Li, X. Zhou, "Searchlight CT: A new reconstruction method for collimated X-ray tomography", Proceedings of NCMIP 2011.
    [PDF file]

  14. K. Guo, and D. Labate, "Optimally sparse shearlet approximations of 3D data" Proc. of SPIE Defense, Security, and Sensing (2011).
    [PDF file]

  15. K. Guo, and D. Labate, "Analysis and Detection of Surface Discontinuities using the 3D Continuous Shearlet Transform", Appl. Comput. Harmon. Anal., 30 p. 231-242 (2011).
    [PDF file]

  16. G. Kutyniok, and D. Labate, "Shearlets. The First Five Year", Oberwolfach Report No. 44/2010 (2010).
    [PDF file]    (Complete Report of Mini-Workshop Shearlets: [PDF file])

  17. K. Guo, and D. Labate, "Optimally Sparse 3D Approximations using Shearlet Representations", Electronic Research Announcements in Mathematical Sciences, 17 p. 126-138 (2010).
    [PDF file]

  18. F. Colonna, G. R. Easley, K. Guo, and D. Labate, "Radon Transform Inversion using the Shearlet Representation", Appl. Comput. Harmon. Anal., 29(2), p. 232-250 (2010).
    [PDF file]

  19. G. R. Easley, and D. Labate, "Critically Sampled Composite Wavelets", Proc. 43rd Asilomar Conf. on Signals, Systems and Computers, Monterey, November 2009.
    [PDF file]

  20. G. R. Easley, F. Colonna, and D. Labate, "Improved Radon Based Imaging using the Shearlet Transform", Proceedings of SPIE, Defense Security and Sensing, Orlando FL, April 2009.
    [PDF file]

  21. G. Easley, K. Guo, and D. Labate, "Analysis of Singularities and Edge Detection using the Shearlet Transform", Proceedings of SAMPTA`09, Marseille 2009.
    [PDF file]

  22. K. Guo, and D. Labate, "Characterization and analysis of edges using the Continuous Shearlet Transform", SIAM on Imaging Sciences 2, p. 959-986 (2009).
    [PDF file]

  23. D. Labate, and G. Weiss, "Continuous and discrete reproducing systems that arise from translations. Theory and applications of composite wavelets", pp. 48, in: Four Short Courses on Harmonic Analysis, Birkhauser (2009).
    [PDF file]

  24. S. Yi, D. Labate, G. R. Easley, and H. Krim, "A Shearlet Approach to Edge Analysis and Detection", IEEE Trans. Image Process. 18 (5) pp. 929-941 (2009). [Awarded the IEEE Young Author Best Paper Award 2011 to S.Y.]
    [PDF file]

  25. K. Guo, D. Labate and W. Lim, "Edge Analysis and identification using the Continuous Shearlet Transform", Appl. Comput. Harmon. Anal., 27(1) pp. 24-46 (2009).
    [PDF file]

  26. G. R. Easley, D. Labate, and F. Colonna, "Shearlet Based Total Variation for Denoising", IEEE Trans. Image Process. 18 (2) pp. 260-268 (2009).
    [PDF file]

  27. G. Kutyniok and D. Labate, "Resolution of the Wavefront Set using Continuous Shearlets", Trans. Amer. Math. Soc. 361 pp. 2719-2754 (2009).
    [PDF file]

  28. S. Yi, D. Labate, G. R. Easley, and H. Krim, "Edge Detection and Processing using Shearlets", in: Proceedings IEEE Int. Conference on Image Processing, San Diego, October 12-15, 2008 (2008).
    [PDF file]

  29. G. Easley, D. Labate and W. Lim, "Sparse Directional Image Representations using the Discrete Shearlet Transform", Appl. Comput. Harmon. Anal. 25 pp. 25-46, (2008).
    [PDF file]

  30. K. Guo and D. Labate, "Representation of Fourier Integral Operators using Shearlets", J. Fourier Anal. Appl. 14 pp. 327-371, (2008).
    [PDF file]

  31. K. Guo and D. Labate, "Sparse Shearlet Representation of Fourier Integral Operators", Electr. Res. Announc. (ERA-MS), 14 pp. 7-19 (2007).
    [PDF file]

  32. G. Kutyniok and D. Labate, "The Construction of Regular and Irregular Shearlet Frames", J. Wavelet Theory Appl., 1 pp. 1-10 (2007).
    [PDF file]

  33. K. Guo and D. Labate, "Optimally Sparse Multidimensional Representation using Shearlets", SIAM J Math. Anal., 39 pp. 298-318 (2007).
    [PDF file]

  34. G. Easley, D. Labate and W. Lim, "Optimally Sparse Image Representations using Shearlets", Proc. 40th Asilomar Conf. on Signals, Systems and Computers, Monterey (2006).
    [PDF file]

  35. G. Kutyniok, and D. Labate, "The Theory of Reproducing Systems on Locally Compact Abelian Groups", Colloq. Mat., 106 , pp. 197-220 (2006).
    [ PDF file]

  36. K. Guo and D. Labate, "Some Remarks on the Unified Characterization of Reproducing Systems", Collectanea Math., 57 , pp. 279-293 (2006).
    [PDF file]

  37. K. Guo, D. Labate, W. Lim, G. Weiss, and E. Wilson, "Wavelets with Composite Dilations and their MRA Properties", Appl. Comput. Harmon. Anal., 20 , pp. 231-249 (2006).
    [PDF file]

  38. K. Guo, D. Labate, W. Lim, G. Weiss, and E. Wilson, "The Theory of Wavelets with Composite Dilations", in: Harmonic Analysis and Applications, C.~Heil (ed.), pp. 231-249, Birkauser, 2006.
    [PDF file]

  39. K. Guo, G. Kutyniok, and D. Labate, "Sparse Multidimensional Representations using Anisotropic Dilation and Shear Operators", in: Wavelets and Splines: Athens 2005 (Proceedings of the International Conference on the Interactions between Wavelets and Splines. Athens, GA, May 16-19, 2005), G. Chen and M. Lai (eds.)
    [ PDF file]

  40. D. Labate, W. Lim, G. Kutyniok and G. Weiss, and "Sparse Multidimensional Representation using Shearlets", Wavelets XI (San Diego, CA, 2005), 254-262, SPIE Proc. 5914 , SPIE, Bellingham, WA, 2005.
    [PDF file]

  41. D. Labate, and G. Weiss, "Wavelets associated with Composite Dilations", in: Matematicas: investigacion y educacion. Un homenaje a Miguel de Guzman. Universidad Complutense de Madrid, Ed.Anaya, Madrid, 2005.
    [PDF file]

  42. D. Labate, and E. Wilson, "Connectivity in the Set of Gabor Frames", Appl. Comput. Harmon. Anal., 18 , pp. 123-136 (2005).
    [PDF file]

  43. K. Guo, D. Labate, W. Lim, G. Weiss, and E. Wilson, "Wavelets with Composite Dilations", Electr. Res. Ann. AMS, 10 , pp.78-87 (2004).
    [PDF file]

  44. D. Labate, G. Weiss and E. Wilson, "An Approach to the Study of Wave Packet Systems", Contemp. Mathematics, Wavelets, Frames and Operator Theory, 345 , pp.215-235 (2004).
    [PDF file]

  45. E. Hernandez, D. Labate, G. Weiss and E. Wilson, "Oversampling, quasi-affine frames and wave packets", Appl. Comput. Harmon. Anal. 16 , pp.111-147 (2004).
    [PDF file]

  46. P. Gressman, D. Labate, G. Weiss and E.N. Wilson, "Affine, quasi-affine and co-affine wavelets", in: Beyond Wavelets, edited by G.W. Welland, Studies in Computational Mathematics, Volume 10, Elsevier, pp.215-224, 2003.
    [postscript file]

  47. E. Hernandez, D. Labate and G. Weiss, "A Unified Characterization of Reproducing Systems Generated by a Finite Family, II", J. Geometric Analysis 12(4), pp.615-662 (2002).
    [postscript file]

  48. D. Labate, "A Unified Characterization of Reproducing Systems Generated by a Finite Family", J. Geometric Analysis 12(3) , pp.469-491 (2002).
    [postscript file]

  49. D. Labate, "Pseudodifferential operators on modulation spaces", Journal of Mathematical Analysis and Applications 262, pp.242-255 (2001).
    [postscript file]

  50. D. Labate, "Time-frequency analysis of pseudodifferential operators", Monatshefte fur Mathematik , 133, pp.143-156 (2001).
    [postscript file]

  51. G.Vecchi, D.Labate, F.G.Canavero, "Fractal Approach to Lightning Radiation on a Tortuous Channel", Radio Science, 29(4), 691-704 (1994).

  52. D.Labate, F.G.Canavero, A.De Marchi, "A Comparison of Fractal Dimension and Spectrum Coefficient", Metrologia, 31, pp.51-53 (1994)

  53. G.Vecchi, F.G.Canavero, D.Labate, "Fractal modeling of high-frequency noise due to lightning", in: Proceedings X RiNEm, Cesena, Italy, September 21-23, 1994.

  54. B.Dilecce, L.Isnardi, D.Labate, F.G.Canavero, "Exact Spice model of field coupling to multiconductor transmission lines", in: Proceedings Int. Symp. EMC 1994, Sendai, Japan, May 16-20, 1994, pp.12-15.

  55. G.Vecchi, D.Labate, F.G.Canavero, "Fractal Determination of Parameters in Lightning and ESD model" in: Proceedings of the 1992 International Aerospace and Ground Conference on Lightning and Static Electricity, Atlantic City, N.J., USA, October 6-8, 1992.



My research is/was supported by the National Science Foundation (grants DMS 1008900 [2010-2013], DMS-Career 0746778 [2008-2013], DMS 0604561 [2006-2010]), the Norman Hackerman Advanced Research Program (grant 003652-0136-2009 [2010-2012]), the Army Research Office (grant W911NF-09-1-0564, [2009-2010])


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