Mailing Address
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Bin Han, Professor
Department of Mathematical and Statistical Sciences |
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Publication list and AMS MathSciNet
Applied Mathematics Institute (AMI)
Research Interest
- 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
Editorships
Some Selected Publications
- Bin Han, Nonhomogeneous wavelet systems in high dimensions, Applied and Computational Harmonic Analysis, Vol. 32 (2012), Issue 2, 169--196.
- Bin Han, Gitta Kutyniok, and Zuowei Shen, Adaptive multiresolution analysis structures and shearlet systems, SIAM Journal on Numerical Analysis, Vol. 49 (2011), 1921--1946.
- 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.
- 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
- 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
- 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, Dual wavelet frames and Riesz bases in Sobolev spaces, Constructive Approximation, Vol. 29 (2009), Issue 3, 369--406.
- 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.
- 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
- 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--present, Co-supervise with Yau Shu Wong
- Li Zhang, Ph.D. candidate in applied mathematics, September 2011-present. Co-supervised with Peter Minev
- Zhenpeng Zhao, Ph.D. canadiate in applied mathematics, September 2010--present, co-supervise with Yau Shu Wong.
- 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, a postdoctoral fellow in Germany. -
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.
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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.
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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.
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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
- International Conference on Wavelets and Applications, Saint-Petersburg, July 8-15, 2012.
- 13th International Conference on Approximation Theory, San Antonio, Texas, USA, March 7--10, 2010.
- The International Conference: Wavelets and Applications, Saint-Petersburg, Russia, June 14-20, 2009.