Publication List of Bin Han

Bin Han's Publication List

Book

Bin Han, Framelets and Wavelets: Algorithms, Analysis, and Applications, Applied and Numerical Harmonic Analysis, Birkhauser/Springer, Cham, (2017), 724 pages.

Webpage for book and software on framelets and wavelets including maple routines for all 1D wavelets/framelets and LaTex macros used by the book.

Preprints

arXiv.org

Accepted

Bin Han and Michelle Michelle, Construction of wavelets and framelets on a bounded interval, Analysis and Applications, in press.

Bin Han and Michelle Michelle, Derivative-orthogonal Riesz wavelets in Sobolev spaces with applications to differential equations, Applied and Computational Harmonic Analysis, in press. [Article in Journal]

2018

Bin Han, Qingtang Jiang, Zuowei Shen, and Xiaosheng Zhuang, Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness, Mathematics of Computation, Vol. 87 (2018), 347-379. [PDF][arXiv:1507.07492] [Article in Journal]

2017

Bin Han, Homogeneous wavelets and framelets with the refinable structure, Science China Mathematics, Vol. 60 (2017), Issue 11, 2173-2198. [arXiv:1707.01453] [Article in Journal]
Bin Han and Zhiqiang Xu, Robustness properties of dimensionality reduction with Gaussian random matrices, Science China Mathematics, Vol. 60 (2017) No. 10, 1753-1778 [arXiv:1501.01695] [Article in Journal]

Elmira Ashpazzadeh, Bin Han, and Mehrdad Lakestani, Biorthogonal multiwavelets on the interval for numerical solutions of Burgers' equation, Journal of Computational and Applied Mathematics, Vol. 317 (2017), 510-534 [Article in Journal]

Yi Shen, Bin Han, and Elena Bravermann, Image inpainting from partial noisy data by directional complex tight framelets, ANZIAM (Australia and New Zealand Industrial and Applied Mathematics), Vol. 58 (2017), 247-255. [Article in Journal].

2016

Bin Han, On linear independence of integer shifts of compactly supported distributions, Journal of Approximation Theory, Vol. 201 (2016), 1-6. [PDF][Article in Journal]

Bin Han, Zhenpeng Zhao and Xiaosheng Zhuang, Directional tensor product complex tight framelets with low redundancy, Applied and Computational Harmonic Analysis, Vol. 41 (2016), Issue 2, 603-637. [Article in Journal]

Yi Shen, Bin Han and Elena Braverman, Adaptive frame-based color image denoising, Applied and Computational Harmonic Analysis, Vol. 41 (2016), Issue 1, 54-74. [Article in Journal]

Yi Shen, Bin Han and Elena Braverman, Stability of the elastic net estimator, Journal of Complexity , Vol. 32 (2016), 20-39. [Article in Journal]

Yi Shen, Bin Han and Elena Braverman, Removal of mixed Gaussian and impulse noise using directional tensor product complex tight framelets, Journal of Mathematical Imaging and Vision, Vol. 54 (2016), 64-77. [Article in Journal]

2015

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. [Article in Journal]

Bin Han and Xiaosheng Zhuang, Smooth affine shear tight frames with MRA structure, Applied and Computational Harmonic Analysis, Vol. 39 (2015), 300-338. [Article in Journal]

Yi Shen, Bin Han and Elena Braverman, Stable recovery of analysis based approaches, Applied and Computational Harmonic Analysis, 39 (2015), 161-172. [Article in Journal]

Bin Han, Algorithm for constructing symmetric dual framelet filter banks, Mathematics of Computation, Vol. 84 (2015), 767--801. [PDF] [Article in Journal]

2014

Bin Han, The projection method for multidimensional framelet and wavelet analysis, Mathematical Modelling of Natural Phenomena, [PDF], Vol. 9 (2014), No. 5, 83-110.

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. [PDF] [Article in Journal]

Bin Han, Symmetric tight framelet filter banks with three high-pass filters, Applied and Computational Harmonic Analysis, Vol. 37 (2014), Issue 1, 140--161. [PDF] [article in journal]

2013

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. [PDF]

Bin Han, Properties of discrete framelet transforms, Mathematical Modelling of Natural Phenomena, Vol. 8 (2013), Issue 1, 18--47. [PDF]

Bin Han and Xiaosehgn Zhuang, Algorithms for matrix extension and orthogonal wavelet filter banks over algebraic number fields, Mathematics of Computation. Vol. 82 (2013), 459-490.

2012

Charles K. Chui, Bin Han and Xiaosheng Zhuang, A dual-chain approach for bottom-up construction of wavelet filters with any integer dilation, Applied and Computational Harmonic Analysis, Vol. 33 (2012), 204--225.
Bin Han, Nonhomogeneous wavelet systems in high dimensions, Applied and Computational Harmonic Analysis, Vol. 32 (2012), Issue 2, 169--196. [PDF]

Bin Han, Wavelets and framelets within the framework of nonhomogeneous wavelet systems, in Approximation Theory XIII: San Antonio 2010 (Springer Proceedings in Mathematics), (2012), 121--161. [PDF]

2011

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, Symmetric orthogonal filters and wavelets with linear-phase moments, Journal of Computational and Applied Mathematics, Vol. 236 (2011), Issue 4, 482--503. [PDF]

Bin Han, Qun Mo, and Zuowei Shen, Small support spline Riesz wavelets in low dimensions, Journal of Fourier Analysis and Applications, Vol. 17 (2011), 535--566. [PDF]

Say Song Goh, Bin Han and Zuowei Shen, Tight periodic wavelet frames and approximation orders , Applied and Computational Harmonic Analysis, Vol. 31 (2011), Issue 2, 228--248. [PDF]

2010

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. [PDF]
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. [PDF]

Bin Han, The structure of balanced multivariate biorthogonal multiwavelets and dual multiframelets, Mathematics of Computation, Vol. 79 (2010), 917--951. [PDF]

Bin Han, Symmetric orthonormal complex wavelets with masks of arbitrarily high linear-phase moments and sum rules, Advances in Computational Mathematics, Vol. 32 (2010), No. 2, 209--237. [PDF]

2009

B. 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. [PDF]

Bin Han, Dual multiwavelet frames with high balancing order and compact fast frame transform, Applied and Computational Harmonic Analysis, Vol. 26 (2009), 14--42. [PDF].

Bin Han and Zuowei Shen, Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames, Israel Journal of Mathematics, Vol. 172 (2009), No. 1, 371-398. [PDF]

Bin Han and Xiaosheng Zhuang Analysis and construction of multivariate interpoalting refinable function vectors, Acta Applicandae Mathematicae, Vol. 107 (2009), No. 1-3, 143--171. [PDF].

Bin Han and Zuowei Shen, Dual wavelet frames and Riesz bases in Sobolev spaces, Constructive Approximation, Vol. 29 (2009), Issue 3, 369--406.

Ning Bi, Bin Han, and Zuowei Shen Componentwise polynomial solutions and distribution solutions of refinement masks, Applied and Computational Harmonic Analysis, Vo. 27 (2009), Issue 1, 117--123.

Bin Han, Son-Geol Kwon and Xiaosheng Zhuang, Generalized interpolating refinable function vectors, Journal of Computational and Applied Mathematics, Vol. 227 (2009), 254--270. [PDF, Article in Journal].

Bin Han and Hui Ji, Compactly supported orthonormal complex wavelets with dilation 4 and symmetry, Applied and Computational Harmonic Analysis, Vol. 26 (2009), 422--431. [PDF, Article in Journal].

Bin Han, Bivariate (two-dimensional) wavelets, in Encyclopedia of Complexity and System Science. R. A. Meyers ed., (2009), 589--599.

2008

Bin Han, Refinable functions and cascade algorithms in weighted spaces with Holder continuous masks, SIAM Journal on Mathematical Analysis, Vol. 40 (2008), Issue 1, 70--102. [Abstract, PDF, Article in Journal].

Bin Han and Zuowei Shen, Compactly supported symmetric C^\infty wavelets with spectral approximation order, SIAM Journal on Mathematical Analysis, Vol. 40 (2008), 905--938. [PDF, Article in Journal].

Martin Ehler and Bin Han, Wavelet bi-frames with few generators from multivariate refinable functions , Applied and Computational Harmonic Analysis, Vol. 25 (2008), 407--414. [PDF, Article in Journal]

Bin Han, Construction of wavelets and framelets by the projection method, International Journal of Applied Mathematics and Applications, Vol. 1 (2008), Issue 1, 1--40. [PDF]

Bin Han, Recent developments on dual wavelet frames, in Representations, Wavelets, and Frames: A celebration of the Mathematical Work of Lawrence W. Baggett, (P. E. T. Jorgensen, K. Merrill, and J. A. Parker eds.), (2008), 103--130. [Article online]

2007

Bin Han and Rong-Qing Jia, Characterization of Riesz bases of wavelets generated from multiresolution analysis, Applied and Computational Harmonic Analysis, Vol. 23 (2007), Issue 3, 321--345. [PDF, Article in Journal].

Bin Han and Qun Mo, Analysis of optimal bivariate refinable Hermite interpolants , Communications in Pure and Applied Analysis, Vol. 6 (2007), No. 3, 689--718. [PDF, Article in Journal].

Ning Bi, Bin Han and Zuowei Shen, Examples of refinable componentwise polynomials, Applied and Computational Harmonic Analysis, Vol. 22 (2007), Issue 3, 368--373. [PDF, Article in Journal]

2006

Bin Han and Zuowei Shen, Wavelets with short support , SIAM Journal on Mathematical Analysis, Vol. 38 (2006), Issue 2, 530-556. [Abstract, PS, PDF, Article in Journal]

Bin Han and Rong-Qing Jia, Optimal C^2 two-dimensional interpolatory ternary subdivision schemes with two-ring stencils, Mathematics of Computation, Vol. 75 (2006), 1287--1308. [Abstract, PS, PDF Article in Journal].

Bin Han, Solutions in Sobolev spaces of vector refinement equations with a general dilation matrix , Advances in Computational Mathematics, Vol. 24 (2006), [Abstract, No. 1-4, 375--403. PS, PDF, Article in Journal, Journal].

Bin Han, On a conjecture about MRA Riesz wavelet bases, (2004), Proceedings of American Mathematical Society, Vol. 134 (2006), 1973-1983. [Abstract, PS, PDF, Article in Journal, Journal]

Bin Han, Soon-Geol Kwon and Sang Soo Park, Riesz multiwavelet bases, Applied and Computational Harmonic Analysis, Vol. 20 (2006), 161--183. [PS, PDF, Article in Journal]

Bin Han and Thomas Yu, Face-based Hermite subdivision schemes, Journal of Concrete and Applicable Mathematics, Vol. 4 (2006), No. 4, 435--450. [Abstract, PS, PDF, Journal].

Bin Han, The porjection method in wavelet analysis, in Splines and Wavelets: Athens 2005, G. Chen and M.J. Lai eds., (2006), 202--225.

2005

Bin Han and Zuowei Shen, Wavelets from the Loop scheme, Journal of Fourier Analysis and its Applications, Vol. 11 (2005), No. 6, 615--637. [Abstract, PS, PDF, Article in Journal, Journal].

Serge Dubuc, Bin Han, Jean-Louis Merrien and Qun Mo, Dyadic C2 Hermite interpolation on a square mesh, (2004). Computer Aided Geometric Design, Vol. 22 (2005), Issue 8, 727--752. [Abstract, PS, PDF, Article in Journal, Article].

Wen Chen, Bin Han and Rong-Qing Jia, Estimate of aliasing error for non-smooth signals prefiltered by quasi-projections into shift invariant spaces , IEEE Transactions on Signal Processing, Vol. 53 (2005), 1927--1933.

Bin Han, Thomas Yu, Yonggang Xue, Non-Interpolatory Hermite subdivision schemes, Mathematics of Computation, Vol. 74 (2005), 1345--1367. [Abstract, PS, PDF, Artical in Journal, Journal].

Bin Han and Qun Mo, Symmetric MRA tight wavelet frames with three generators and high vanishing m oments , Applied and Computational Harmonic Analysis, Vol. 18 (2005), Issue 1, 67--93, [Abstract, PS, PDF, Article in Journal, Journal].

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. [Artical in Journal, Journal].

2004

Ingrid Daubechies and Bin Han, Pairs of dual wavelet frames from any two refinable functions, Constructive Approximation, Vol. 20, (2004), No. 3, 325--352. [Abstract, PS, PDF, old version, software, Article in Journal, Journal].

Bin Han, Symmetric multivariate orthogonal refinable functions , Applied and Computational Harmnoic Analysis, Vol. 17 (2004), 277--292. [Abstract, PS, PDF, Article in Journal, Journal].

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 Appliations, Vol. 26 (2004), No. 1, 97--124. [Abstract, PS, PDF, Article in Journal, Journal].

Bin Han and Qun Mo, Tight wavelet frames generated by three symmetric B-spline functions with high vanishing moments, Proceedings of the American Mathematical Society, Volume 132 (2004), No. 1, 77-86. [Abstract, PS, PDF, Article in Journal, Journal].

Wen Chen, Bin Han and Rong-Qing Jia, Maximal gap of a sampling set for the exact iterative reconstruction algorithm in shift invariant spaces , IEEE Signal Processing Letters, Vol. 11 (2004), No. 8, 655--658. [PS, PDF].

Dao-Qing Dai, Bin Han, Rong-Qing Jia, Galerkin analysis for schroedinger equation by wavelets , Journal of Mathematical Physics, Volume 45, Issue 3, (2004), 855--869. [Abstract, PS, PDF, Article in Journal, Journal].

Paul Shelley, Xiaobo Li and Bin Han, A hybrid quantization scheme for image compression, , Image and Vision Computing, Volume 22, (2004), Issue 3, 203-213. [Abstract, PS, PDF, Article in Journal, Journal]

Bin Han, Thomas P.-Y. Yu, and Bruce Piper, Multivariate refinable Hermite interpolants, Mathematics of Computations, Vol. 73 (2004), 1913--1935. [Abstract, PS, PDF, Article in Journal, Journal].

2003

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. [Abstract, PS, PDF, Software, Article in Journal, Journal].

Bin Han, Vector cascade algorithms and refinable function vectors in Sobolev spaces , Journal of Approximation Theory, Volumn 124 (2003), Issue 1, 44-88. [Abstract, PS, PDF, Article in Journal, Journal].

Bin Han, Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix, Journal of Computational and Applied Mathematics, Volume 155 (2003), Issue 1, 43--67. [Abstract, PS, PDF, Aeticle in Journal, Journal].

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. [Abstract, PS, PDF, Article in Journal, Journal, most download article in ACHA].

Bin Han and Qun Mo, Multiwavelet frames from refinable function vectors, Advances in Computational Mathematics, Vol. 18, (2003), 211-245, [Abstract, PS, PDF, Article in Journal, Journal].

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, Volume 25 (2003), No. 2, 643--656. [Abstract, PS, PDF, Article in Journal, Journal].

Bin Han, Classification and construction of bivariate subdivision schemes, Proceedings on Curves and Surfaces Fitting: Saint-Malo 2002, A. Cohen, J.-L. Merrien, and L. L. Schumaker eds., (2003), 187--197. [Abstract, PS, PDF].

2002

Bin Han, Projectable multivariate refinable functions and biorthogonal wavelets, Applied and Computational Harmonic Analysis, Vol. 13, No. 1 (2002), 89--102. [Abstract, PS, PDF, Article in Journal, Journal].

Bin Han, Symmetry property and construction of wavelets with a general dilation matrix, Linear Algebra and its Applications, Vol. 353, (2002), 207--225. [Abstract, PS, PDF, Article in Journal, Journal].

Ingrid Daubechies and Bin Han, The canonical dual frame of a wavelet frame, Applied and Computational Harmonic Analysis, Vol. 12, No. 3 (2002), 269--285. [Abstract, PS, PDF, Article in Journal, Journal].

Bin Han and Qing-Tang Jiang, Multiwavelets on the interval, Applied and Computational Harmonic Analysis, Vol. 12, (2002), No. 1, 100--127. [Abstract, PS, PDF, Article in Journal, Journal].

Bin Han and Rong-Qing Jia, Quincunx fundamental refinable functions and quincunx biorthogonal wavelets, Mathematics of Computation, Vol. 71, No. 237, (2002), 165--196. [Abstract, PS, PDF, Article in Journal, Journal].

Bin Han, The initial functions in a cascade algorithm, Wavelet Analysis: Twenty Years' Developments, Proceedings of International Conference on Computational Harmonic Analysis, D.X. Zhou ed., 154--178, (2002) [Abstract, PS, PDF].

2001

Bin Han, Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets, Journal of Approximation Theory, Vol. 110, No. 1, (2001), 18--53. [Abstract, PS, PDF, Old version with details for Section 2, Article in Journal, Journal].

2000

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. [Abstract, PS, PDF, Article in Journal, Journal ].

Di-Rong Chen, Bin Han and Sherman D. Riemenschneider, Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments, Advances in Computational Mathematics, Vol. 13 No. 2, (2000), 131-165. [Abstract, PS, PDF, Article in Journal, Journal].

Wolfgang Dahmen, Bin Han, Rong-Qing Jia, and Angela Kunoth, Biorthogonal multiwavelets on the interval: cubic Hermite splines, Constructive Approximation, Vol. 16, No.2 (2000), 221--259. [Abstract, PS, Article in Journal, Journal].

1999

Peter Antonelli, Bin Han and Joseph Modayil, New results on two-dimensional constant sprays with an application to heterochrony, Nonlinear Analysis, Vol. 37, No. 5 (1999) pp. 545-566. [Abstract, Article in Journal, Journal].

Bin Han, Construction of multivariate biorthogonal wavelets by CBC algorithm, Wavelet analysis and multiresolution methods (Urbana-Champaign, IL, 1999), 105--143, Lecture Notes in Pure and Appl. Math., 212, Dekker, New York, 2000. [Abstract, PS, PDF].

Bin Han, Hermite interpolants and biorthogonal multiwavelets with arbitrary order of vanishing moments SPIE Proc. Vol. 3813, 147--161, (1999). [Abstract, PS, PDF].

Bin Han and Sherman D. Riemenschneider, Interpolatory biorthogonal wavelets and CBC algorithm, Wavelet analysis and applications (Guangzhou, 1999), 119--138, AMS/IP Studies in Advanced Mathematics, 25, Amer. Math. Soc., Providence, RI, (2002). [Abstract, PS, PDF].

1998

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. [Abstract, Article in Journal, Journal].

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. [Abstract, PS (no figure), PDF (no figure), Article in Journal, Journal].
Bin Han, Symmetric orthonormal scaling functions and wavelets with dilation factor 4, Advances in Computational Mathematics, Vol. 8, No. 3, (1998) pp. 221-247. [Abstract, PS (no figure), PDF (no figure), Article in Journal, Journal].

Jason Knipe, Xiaobo Li and Bin Han, An improved lattice vector quantization scheme for wavelet compression, IEEE Transactions on Signal Processing, Vol. 46, No. 1 (1998), pp. 239--243. [Abstract, Article in Journal, Journal].

Bin Han and Thomas A. Hogan, How is a vector pyramid scheme affected by perturbation in the mask? Approximation theory IX, Vol. 2 (Nashville, TN, 1998), 97--104, Innov. Appl. Math., Vanderbilt University Press, Nashville, TN, 1998 [Abstract, PS, PDF].

1997

Bin Han, On dual wavelet tight frames, Applied and Computational Harmonic Analysis, Vol. 4 (1997), no. 4, pp. 380-413. [Abstract PS, PDF, Article in Journal, Journal].

1995

Bin Han, Some applications of projection operators in wavelets, Acta Mathematica Sinica, Vol 1, No.1, (1995), pp. 105-112. [Abstract, PS, PDF, Journal].

Some Unpublished Preprints

Bin Han, Error estimate of a subdivision scheme with a truncated refinement mask, (1997). [Abstract, PS, PDF, Related: Chapter 2 in Thesis].

PhD and MSc Theses

PhD thesis:Subdivision schemes, biorthogonal wavelets and image compression, University of Alberta, Canada, 1998.

MSc thesis:Wavelets, Institute of Mathematics, the Academy of Sciences, China, 1994.

[Teaching] [Research] [Publication] [Software] [Wavelets]