Time-scale-frequency analysis: wavelets, multiwaveltes, framelets, and sampling theory.
Application of wavelets and framelets to signal denoising and image
compression.
Subdivision schemes and multiwavelets in computer graphics and CAGD
Biorthogonal wavelets in general domains and their applications to ODEs and PDEs
Learning theory and its applications.
Some Selected Publications
Bin Han,
Dual multiwavelet frames with high balancing order and compact fast
frame transform, Applied and Computational Harmonic Analysis, Vol. 26 (2009), 14--42.
Bin Han and Zuowei Shen, Compactly supported symmetric C^\infty wavelets with spectral approximation order,
SIAM Journal on Mathematical Analysis, Vol. 25 (2009), 407--414.
Bin Han,
Refinable functions and cascade algorithms in
weighted spaces with Holder continuous masks,
SIAM Journal on Mathematical Analysis, Vol. 40 (2008), 70--102.
Bin Han and Zuowei Shen, Wavelets with short support,
SIAM Journal on Mathematical Analysis, Vol. 38 (2006), Issue 2, 530--556.
Wen Chen, Bin Han and Rong-Qing Jia,
A simple oversampled A/D conversion in shift invariant spaces
, IEEE Transactions on Information Theory, Vol. 51 (2005),
no. 2, 648--657.
Ingrid Daubechies and Bin Han,
Pairs of dual wavelet frames from any two refinable functions,
Constructive Approximation, Vol. 20 (2004), No. 3, 325--352.
Bin Han and Qun Mo,
Splitting a matrix of Laurent polynomials with symmetry and its
application to symmetric framelet filter banks.
SIAM Journal on Matrix Analysis and its Applications,
Vol. 26 (2004), No. 1, 97--124.
Bin Han,
Computing the smoothness exponent of a symmetric multivariate
refinable function,
SIAM Journal on Matrix Analysis and its Applications,
Vol. 24 (2003), No. 3, 693--714.
Ingrid Daubechies, Bin Han, Amos Ron, and Zuowei Shen,
Framelets: MRA-based constructions of wavelet frames,
Applied and Computational Harmonic Analysis, Vol. 14 (2003),
No. 1, 1--46.
Bin Han, Michael L. Overton, and Thomas P.-Y. Yu,
Design of Hermite subdivision schemes aided by spectral radius
optimization, SIAM Journal on Scientific Computing,
Vol. 25 (2003), no.2, 643--656.
Bin Han,
Analysis and construction of optimal multivariate biorthogonal
wavelets with compact support,
SIAM Journal on Mathematical Analysis,
Vol. 31, No.2 (1999/2000), 274--304.
Bin Han and Rong-Qing Jia,
Optimal interpolatory subdivision schemes in multidimensional spaces,
SIAM Journal on Numerical Analysis,
Vol. 36, No. 1 (1998) pp. 105-124.
Bin Han and Rong-Qing Jia,
Multivariate refinement equations and convergence of
subdivision schemes,
SIAM Journal on Mathematical Analysis,
Vol. 29, No. 5 (1998), pp. 1177-1199.
Bin Han,
On dual wavelet tight frames,
Applied and Computational Harmonic Analysis,
Vol. 4 (1997), no. 4, pp. 380-413.
Grants
NSERC Research Grant, April 2009---March 2014.
NSERC Research Grant, April 2004---March 2009.
Canada Fundation for Innovation (CFI) infrastructure fund (with
Michael Li and Samuel Shen) to establish an Information Research Laboratory.
NSERC Research Grant, $16,000 per year, April 2000---March 2004.
University of Alberta start-up fund, July 2000--April 2002.
Xiaosheng Zhuang, Ph.D. candidate in mathematics, September 2005--present.
Xinghua Deng,
Ph.D. in mathematics, September 2001 -- July 2006.
Co-supervised with Professor Robert Moody at
the Department of Mathematics, University of Victoria.
PhD Thesis:
Diffraction and its Relationship to Dynamical Systems.
Mengzhe Wang, Ph.D. candidate in mathematics, December 2003 -- January 2005.
Robert Liao, M.Sc. in applied mathematics, January 2003 -- June 2004.
M.Sc. Thesis: New interplatory subdivision schemes in computer graphics, 2004.
Stephen Wasylishen, NSERC summer undergraduate student, April 2003--August 2003.
Qun Mo,
Ph.D. in mathematics, November 2000 -- August 2003.
PhD Thesis:
Compactly supported symemtric MRA wavelet frames, 2003.
Currently, an associate professor at Department of Mathematics, Zhejiang University, China.
Paul Shelley, M.Sc. in computing
sciences, December 2000 -- August 2001.
Co-supervised with Professor
Xiaobo Li at
the Department of Computing Sciences.
MSc Thesis: New techniques in wavelet image compression, 2001.
Postdoctoral Fellows and Research Associates
Dr. Soon Geol Kwon, Visiting professor from Korea,
February 2004--February 2005.
Dr. Sang Soo Park, KOSEF postdoctoral fellow, October 2003 -- September 2004.
Dr. Wen Chen,
PIMS postdoctoral fellow, September 2001 -- August 2003.
Co-sponsor with
Professor Rong-Qing Jia.
Currently, a full professor at Department of Electronical Engineering, Shanghai Jiaotong University, China.