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: please use email instead
[UofA1, UofA2]

 

Book: Framelets and Wavelets

Publication list and AMS MathSciNet

Research Interest

Editorships

Some Selected Publications

  1. Book: Bin Han, Framelets and Wavelets: Algorithms, Analysis, and Applications, Applied and Numerical Harmonic Analysis, Birkhauser/Springer, Cham, (2017), 724 pages.
  2. Bin Han, On linear independence of integer shifts of compactly supported distributions, Journal of Approximation Theory, Vol. 201 (2016), 1-6.
  3. Bin Han, Qun Mo, and Zhenpeng Zhao, Compactly supported tensor product complex tight framelets with directionality, SIAM Journal on Mathematical Analysis, Vol. 47 (2015), Issue 3, 2464-2494.
  4. Bin Han and Xiaosheng Zhuang, Smooth affine shear tight frames with MRA structure, Applied and Computational Harmonic Analysis, Vol. 39 (2015), 300-338.
  5. Bin Han and Zhenpeng Zhao, Tensor product complex tight framelets with increasing directionality, SIAM Journal on Imaging Sciences, Vol. 7 (2014), Issue 2, 997--1034.
  6. Bin Han, Matrix splitting with symmetry and symmetric tight framelet filter banks with two high-pass filters, Applied and Computational Harmonic Analysis, Vol. 35 (2013), Issue 2, 200-227.
  7. Bin Han, Properties of discrete framelet transforms, Mathematical Modelling of Natural Phenomena, Vol. 8 (2013), Issue 1, 18--47.

  8. Bin Han, Nonhomogeneous wavelet systems in high dimensions, Applied and Computational Harmonic Analysis, Vol. 32 (2012), Issue 2, 169--196.
  9. Bin Han, Gitta Kutyniok, and Zuowei Shen, Adaptive multiresolution analysis structures and shearlet systems, SIAM Journal on Numerical Analysis, Vol. 49 (2011), 1921--1946.
  10. 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.
  11. 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
  12. 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
  13. Bin Han, Dual multiwavelet frames with high balancing order and compact fast frame transform, Applied and Computational Harmonic Analysis, Vol. 26 (2009), 14--42.
  14. Bin Han and Zuowei Shen, Dual wavelet frames and Riesz bases in Sobolev spaces, Constructive Approximation, Vol. 29 (2009), Issue 3, 369--406.
  15. 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.
  16. Bin Han, Refinable functions and cascade algorithms in weighted spaces with Holder continuous masks, SIAM Journal on Mathematical Analysis, Vol. 40 (2008), 70--102.
  17. Bin Han and Zuowei Shen, Wavelets with short support, SIAM Journal on Mathematical Analysis, Vol. 38 (2006), Issue 2, 530--556.
  18. Ingrid Daubechies and Bin Han, Pairs of dual wavelet frames from any two refinable functions, Constructive Approximation, Vol. 20 (2004), No. 3, 325--352.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. 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. in applied mathematics, September 2010--August 2015.
    Award: 2015 Faculty of Science Dissertation Award. NSERC Postdoctoral Fellowship (declined).
    Ph.D. Thesis: Directional tensor product complex tight framelets, August 2015.
  • 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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