Publication List of Bin Han

Bin Han's Publication List

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

[Software] for dual framelets, CBC algorithms, smoothness exponentsn using symmetry.

Instruction and macro file (LaTex) of suggested notation system for wavelet analysis.

Preprints

arXiv.org

Accepted

Bin Han, Qingtang Jiang, Zuowei Shen, and Xiaosheng Zhuang , Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness, Mathematics of Computation, to appear [PDF][Article in Journal]

Bin Han and Zhiqiang Xu, Robustness properties of dimensionality reduction with Gaussian random matrices, Science China Mathematics, [Article in Journal]

2017

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]