Welcome to Bin Han's Web Page!

Mailing Address

Bin HanProfessor

Department of Mathematical and Statistical Sciences
University of Alberta  
Edmonton, Alberta
Canada T6G 2G1  
Email: bhan (AT) ualberta (DOT) ca
Fax: 1-780-492-6826
Phone: 1-780-492-4289
[UofA1, UofA2]

 

Publication list and AMS MathSciNet

Applied Mathematics Institute (AMI)

Research Interest

Editorships

Some Selected Publications

  1. Bin Han, Nonhomogeneous wavelet systems in high dimensions, Applied and Computational Harmonic Analysis, Vol. 32 (2012), Issue 2, 169--196.
  2. Bin Han, Gitta Kutyniok, and Zuowei Shen, Adaptive multiresolution analysis structures and shearlet systems, SIAM Journal on Numerical Analysis, Vol. 49 (2011), 1921--1946.
  3. Bin Han and Xiaosheng Zhuang, Matrix extension with symmetry and its application to symmetric orthonormal multiwavelets, SIAM Journal on Mathematical Analysis, Vol. 42 (2010), issue 5, 2297--2317.
  4. Bin Han, Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space, Applied and Computational Harmonic Analysis, Vol. 29 (2010), no. 3, 330--353
  5. Bin Han, Matrix extension with symmetry and applications to symmetric orthonormal complex M-wavelets , Journal of Fourier Analysis and its Applications Vol. 15 (2009), 684--705
  6. Bin Han, Dual multiwavelet frames with high balancing order and compact fast frame transform, Applied and Computational Harmonic Analysis, Vol. 26 (2009), 14--42.
  7. Bin Han and Zuowei Shen, Dual wavelet frames and Riesz bases in Sobolev spaces, Constructive Approximation, Vol. 29 (2009), Issue 3, 369--406.
  8. 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.
  9. Bin Han, Refinable functions and cascade algorithms in weighted spaces with Holder continuous masks, SIAM Journal on Mathematical Analysis, Vol. 40 (2008), 70--102.
  10. Bin Han and Zuowei Shen, Wavelets with short support, SIAM Journal on Mathematical Analysis, Vol. 38 (2006), Issue 2, 530--556.
  11. Ingrid Daubechies and Bin Han, Pairs of dual wavelet frames from any two refinable functions, Constructive Approximation, Vol. 20 (2004), No. 3, 325--352.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. Bin Han, On dual wavelet tight frames, Applied and Computational Harmonic Analysis, Vol. 4 (1997), no. 4, pp. 380-413.

Grants

  • PIMS CRG Grant on Applied and Computational Harmonic Analysis, April 2011--March 2014.
  • 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, April 2000---March 2004.
  • University of Alberta start-up fund, July 2000--April 2002.

Graduate and Undergraduate Students

  • Elana Gnida, NSERC summer undergraduate student, May 2012--August 2012.
  • Menlu Che, M.Sc. candidate in applied mathematics, September 2011--July 2013
  • Li Zhang, Ph.D. candidate in applied mathematics, September 2011-May 2013
  • Zhenpeng Zhao, Ph.D. canadiate in applied mathematics, September 2010--present.
  • Patrick Conner, NSERC summer undergraduate student, May 2010--August 2010.
  • Xiaosheng Zhuang, Ph.D. in applied mathematics, September 2005--August 2010.
    PhD Thesis: Interpolating Refinable Function Vectors and Matrix Extension with Symmetry.
    Currently, tenure-track assistant professor at City University of Hong Kong.
  • Xinghua Deng, Ph.D. in mathematics, September 2002 -- July 2008.
    Co-supervised with Professor Robert Moody at the Department of Mathematics, University of Victoria.
    PhD Thesis: Discrete point sets with long-range order and associated point processes.
  • 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, May 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. Yi Shen, PIMS postdoctoral fellow, September 2012--August 2014. Co-supervise with Professor Elena Braverman.
  • Dr. Mpfareleni Rejoyce Gavhi, NRF postdoctoral fellow, August 2012--August 2013.
  • Dr. Xiaosheng Zhuang, PIMS industrial postdoctoral fellow, July 2012--December 2012. Co-supervise with Professor Yau Shu Wong
  • 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-supervise with Professor Rong-Qing Jia.
    Currently, a full professor at Department of Electronical Engineering, Shanghai Jiaotong University, China.

Plenary Talks

PhD thesis and MSc thesis

Software

North America Standard Time

OpenMail

UofA1, UofA2.

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