UC Davis Mathematics

Naoki Saito

Computational mathematics
Ph.D., 1994, Yale University
Refereed publications: Via Math Reviews

Web Page: http://www.math.ucdavis.edu/~saito/
Email: saito@math.ucdavis.edu
Office: MSB 2142
Phone: 530-754-2121


Naoki Saito’s research focus has been on applied and computational harmonic analysis, which is a discipline to study: 1) efficient and meaningful representations of data objects (e.g., signals and images) and operators (e.g., singular integral operators); 2) fast computational algorithms to operate on them; and 3) their wide-range applications including those in computer science, electrical engineering, geophysics, neuroscience, and statistics.

Selected publications

  1. N. Saito, " Image approximation and modeling via least statistically-dependent bases, " Pattern Recognition, 34: 1765-1784, 2001.

  2. N. Saito, R. R. Coifman, F. B. Geshwind, and F. Warner, " Discriminant feature extraction using empirical probability density estimation and a local basis library, " Pattern Recognition, 35: 2841-2852, 2002.

  3. N. Saito and J.-F. Remy, " The polyharmonic local sine transform: A new tool for local image analysis and synthesis without edge effect, " Applied and Computational Harmonic Analysis, 20(1): 41-73, 2006, MathSciNet2200930.

  4. K. Yamatani and N. Saito, " Improvement of DCT-based compression algorithms using Poisson's equation, " IEEE Trans. Image Processing, 5(12): 3672-3689, 2006.

  5. N. Saito, " Data analysis and representation on a general domain using eigenfunctions of Laplacian, " Applied and Computational Harmonic Analysis, 25(1): 68-97, 2008.

Honors and Awards

  • Presidential Early Career Award for Scientists and Engineers (PECASE), Oct. 2000.
  • Office of Naval Research Young Investigator Award, Feb. 2000.
  • Election to Senior membership of IEEE, Dec. 1999.
  • The Henri G. Doll Award (the highest honor in the technical papers within the Schlumberger organization), Jun. 1997.
  • Best Paper Award for the Wavelet Applications in Signal and Image Processing II, SPIE - The International Society for Optical Engineering, International Symposium, Jul. 1994.

Last updated: 2008-02-11