Naoki's Selected Publications

  • "Simultaneous segmentation, compression, and denoising of signals using polyharmonic local sine transform and minimum description length criterion" (with E. Woei), submitted for publication, 2008.

  • "Constructions of periodic wavelet frames using extension principles" (with Z. Zhang), submitted for publication, 2008.

  • "Data analysis and representation on a general domain using eigenfunctions of Laplacian", Applied and Computational Harmonic Analysis, vol.25, no.1, pp.68-97, 2008.

  • "PHLST5: A practical and improved version of polyharmonic local sine transform" (with J. Zhao and Y. Wang), Journal of Mathematical Imaging and Vision, vol.30, no.1, pp.23-41, 2008.

  • "Polyharmonic wavelet transform and image approximation" (with Z. Zhang), submitted for publication, 2007.

  • "Classification of objects in synthetic aperture sonar images" (with B. Marchand and H. Xiao), Proc. 14th IEEE Statistical Signal Processing Workshop, pp. 433-437, 2007.

  • "Automated discrimination of shapes in high dimensions" (with L. Lieu), in Wavelets XII (D. Van De Ville, V. K. Goyal, and M. Papadakis, eds.), Proc. SPIE 6701, Paper #67011V, 2007.

  • "High dimensional data compression via PHLCT" (with Z. Zhang), in Wavelets XII (D. Van De Ville, V. K. Goyal, and M. Papadakis, eds.), Proc. SPIE 6701, Paper #670127, 2007.

  • "The method of hierarchical multi-neighbor predictors and residual orthogonal transforms and its application to image compression" (with K. Ashizawa and K. Yamatani), Transactions of Japan Society for Industrial and Applied Mathematics, vol.17, no.3, pp.239-257, 2007 (in Japanese).

  • "An approximation formula in Hilbert space" (with Z. Zhang), to appear in Recent Advanced in Computational Science (P. Jorgensen, X. Shen, C.-W. Shu, and N. Yan eds.), World Scientific, 2007.

  • "Improvement of DCT-based compression algorithms using Poisson's equation" (with K. Yamatani), IEEE Trans. Image Proc., vol.15, no.12, pp.3672-3689, 2006.

  • "The polyharmonic local sine transform: A new tool for local image analysis and synthesis without edge effect" (with J.-F. Remy), Applied and Computational Harmonic Analysis, vol.20, no.1, pp.41-73, 2006.

  • "Simultaneous segmentation, compression, and denoising using polyharmonic local sine transform and minimum description length criterion" (with E. Woei), in Proc. 13th IEEE Statistical Signal Processing Workshop, pp.315-320, 2005.

  • "Using edge information in time-frequency representations for chirp parameter estimation" (with N. Bennett), Applied and Computational Harmonic Analysis, vol.18, no.2, pp.186-197, 2005.

  • "The generalized spike process, sparsity, and statistical independence," in Modern Signal Processing (D. Rockmore and D. Healy, Jr. eds.), MSRI Publications Vol.46, pp.317-340, Cambridge University Press, 2004.

  • "Sparsity vs. statistical independence in adaptive signal representations: A case study of the spike process" (with B. Benichou), in Beyond Wavelets (G. V. Welland ed.), Studies in Computational Mathematics, Vol. 10, Chap.9, pp.225-257, Academic Press, 2003.

  • "A new local sine transform without overlaps: A combination of computational harmonic analysis and PDE" (with J.-F. Remy), in Wavelets X, (M.A.Unser, A.Aldroubi, A.F.Laine eds.), Proc. SPIE 5207, pp.495-506, 2003.

  • " Discriminant feature extraction using empirical probability density estimation and a local basis library," (with R. R. Coifman, F. B. Geshwind, and F. Warner), Pattern Recognition, vol. 35, pp.2841-2852, 2002.

  • "The continuous boundary local Fourier transform," (with B. M. Larson) Wavelet Applications in Signal and Image Processing IX (A.F.Laine, M.A.Unser, A.Aldroubi eds.), Proc. SPIE 4478, pp.415-426, 2001.

  • "Image approximation and modeling via least statistically-dependent bases," Pattern Recognition, vol. 34, pp.1765-1784, 2001.

  • "Edgeworth approximations of the Kullback-Leibler distance towards problems in image analysis," (with J.-J. Lin and R. A. Levine), submitted for publication, 2001.

  • "An iterative nonlinear Gaussianization algorithm for image simulation and synthesis," (with J.-J. Lin and R. A. Levine), submitted for publication, 2001.

  • "Wavelet despiking of fractographs," (with J.-M. Aubry), Wavelet Applications in Signal and Image Processing VIII (A.Aldroubi, A.F.Laine,M.A.Unser eds.), Proc.SPIE 4119, pp.853-860, 2000.

  • "Sparsity vs. statistical independence from a best-basis viewpoint," (with B. M. Larson and B. Benichou), Wavelet Applications in Signal and Image Processing VIII (A.Aldroubi, A.F.Laine,M.A.Unser eds.), Proc. SPIE 4119, pp.474-486, 2000. Invited Paper.

  • "An iterative nonlinear Gaussianization algorithm for resampling dependent components," (with J.-J. Lin and R. A. Levine), Proc. 2nd International Workshop on Independent Component Analysis and Blind Signal Separation, pp.245-250, 2000.

  • "Edgeworth expansions of the Kullback-Leibler information," (with J.-J. Lin and R. A. Levine), submitted for publication, 1999.

  • "The local Fourier dictionary: a natural tool for data analysis," in Wavelet Applications in Signal and Image Processing VII (M.A.Unser, A.Aldroubi, A.F.Laine eds.), Proc. SPIE 3813, pp.610-624, 1999. Invited paper.

  • "A method to detect and characterize ellipses using the Hough transform," (with N. Bennett and R. Burridge), IEEE Trans. Pattern Anal. Machine Intell., vol.21, no.7, pp.652-657, 1999.

  • "The least statistically-dependent basis and its applications," in Proceedings of 32nd Asilomar Conference on Signals, Systems & Computers, pp.732-736, 1998.

  • "Least statistically-dependent basis and its application to image modeling," in Wavelet Applications in Signal and Image Processing VI (A.F.Laine, M.A.Unser, A.Aldroubi eds.), Proc. SPIE 3458, pp.24-37, 1998.

  • "Extraction of geological information from acoustic well-logging waveforms using time-frequency wavelets," (with R.R.Coifman), Geophysics, vol.62, no.6, pp.1921-1930, 1997.

  • "Classification of geophysical acoustic waveforms and extraction of geological information using time-frequency atoms," 1996 Proc. Computing  Section of Amer. Statist. Assoc., pp.322-327, 1997.

  • "Improved discriminant bases using empirical probability density estimation," (with R.R.Coifman),  1996 Proc. Computing Section of Amer. Statist. Assoc., pp.312-321, 1997.

  • "On local feature extraction for signal classification," (with R.R.Coifman), in Applied Analysis (O. Mahrenholtz and R. Mennicken, eds.), special issue of Zeitschrift fur Angewandte Mathematik und Mechanik, pp.453-456, Akademie-Verlag, Berlin, 1996

  • "The local Karhunen-Loeve Bases," (with R.R.Coifman), Proc.IEEE International Symposium on Time-Frequency and Time-Scale Analysis, pp.129-132, IEEE Signal Processing Society.

  • "Local discriminant bases and their applications," (with R.R.Coifman), J. Mathematical Imaging and Vision, vol.5, no.4, pp.337-358, 1995, Invited paper.

  • "On local orthonormal bases for classification and regression," (with R.R.Coifman), Proc.1995 International Conference on Acoustics, Speech, and Signal Processing, IEEE Signal Processing Society, May 1995, Detroit, MI.

  • "Selection of best bases for classification and regression," (with R.R.Coifman), Proc.1994 IEEE-IMS Workshop on Information Theory and Statistics, p.51, IEEE-IMS, Oct.1994, Alexandria, VA.

  • "Simultaneous noise suppression and signal compression using a library of orthonormal bases and the minimum description length criterion," in Wavelets in Geophysics (E.Foufoula-Georgiou and P.Kumar, eds.), chap.XI, pp.299-324, Academic Press, San Diego, CA, 1994.

  • "Local discriminant bases," (with R.R.Coifman), Wavelet Applications in Signal and Image Processing II (A.F.Laine and M.A.Unser, eds.), Proc. SPIE 2303, pp.2-14, Jul.1994, San Diego, CA.

  • "Constructions of local orthonormal bases for classification and regression," (with R.R.Coifman), Comptes Rendus Acad. Sci. Paris, Serie I , vol.319, pp.191-196, Jul.1994.

  • "Simultaneous noise suppression and signal compression using a library of orthonormal bases and the minimum description length criterion," Wavelet Applications (H.H.Szu, ed.), Proc. SPIE 2242, pp.224-235, Apr.1994, Orlando, FL.

  • "Multiresolution representations using the auto-correlation functions of compactly supported wavelets," (with G.Beylkin), IEEE Trans. Signal Processing, vol.41, pp.3584-3590, Dec.1993.

  • "Multiresolution representations using the auto-correlation functions of wavelets," (with G. Beylkin), in Progress in Wavelet Analysis and Applications (Y.Meyer and S.Roques, eds.), pp.721-726, Editions Frontieres, B.P.33, 91192 Gif-sur-Yvette Cedex, France, 1993.

  • "Signal/noise separation using the adaptive waveform library," (with R.R.Coifman, F.Majid), Proc.the Eighth Workshop on Image and Multidimensional Signal Processing, pp.136-137, IEEE Signal Processing Society, Sep.1993, Cannes, France.

  • "Wavelets, their autocorrelation functions, and multiresolution representations of signals," (with G.Beylkin), Intelligent Robots and Computer Vision XI: Biological, Neural Net, and 3-D Methods (D.P.Casasent, ed.), Proc. SPIE 1826, pp.39-50, Nov.1992, Boston, MA.

  • "Multiresolution representations using the auto-correlation functions of compactly supported wavelets," (with G.Beylkin), Proc.1992 International Conference on Acoustics, Speech, and Signal Processing, vol.4, pp.381-384, IEEE Signal Processing Society, Mar.1992, San Francisco, CA.

  • "Cross well tomography using curved rays and constraints," (with K.Hsu), in Proc.the Seventh Workshop on Image and Multidimensional Signal Processing, Paper 6.6, IEEE Signal Processing Society, Sep.1991, Lake Placid, NY.

  • "Generalized E-filter and its application to edge detection," (with M.A.Cunningham), IEEE Trans. Pattern Anal. Machine Intell., vol.12, pp.814-817, Aug.1990.

  • "Superresolution of noisy band-limited data by data adaptive regularization and its application to seismic trace inversion," Proc.1990 International Conference on Acoustics, Speech, and Signal Processing, vol.3, pp.1237-1240, IEEE Signal Processing Society, Apr.1990, Albuquerque, NM.

  • "On the behavior of pulses on the parallel active lines," the Workshop on Nonlinear Problems, (in Japanese), the Institute of Electronics and Communication Engineers of Japan, Sep.1984, Tokyo, Japan.

    • Naoki's Unpublished Manuscripts, Reports, and Theses (partial list)

  • "Local Feature Extraction and Its Applications Using a Library of Bases," Ph.D.Thesis (Advisor: Prof. Ronald R. Coifman), Department of Mathematics, Yale University, Dec.1994.

  • "Multiresolution representations using the auto-correlation functions of compactly supported wavelets," (with G.Beylkin), Research Note, Schlumberger-Doll Research, Aug.1991.

  • "On the behavior of pulses on the parallel active lines," M.S.Thesis (Advisor: Prof. Jin-ichi Nagumo), Department of Mathematical Engineering and Information Physics, University of Tokyo, Japan, Mar.1984.

  • "Dynamical pattern formation and computer graphics," B.S.Thesis (Advisor: Prof. Jin-ichi Nagumo), Department of Mathematical Engineering and Information Physics, University of Tokyo, Mar., 1982.


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