Publications


  1. Han, B., Jiang, Q. T., Shen, Z. W., and Zhuang, X. (2018.01) Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness. Mathematics of Computation. 87 (309): 347 - 379. Article in Journal download pdf

  2. Chui, C. K., Mhaskar, H. N., and Zhuang, X. (2018.01) Representation of functions on big data associated with directed graphs. Applied and Computational Harmonic Analysis. 44 (1):165 - 188. Article in Journal download pdf

  3. Zhuang, X. (2017.07) Quincunx fundamental refinable functions in arbitrary dimensions. Axioms 2017, 6(3): 20. Article in Journal download pdf

  4. Zhuang, X. (2016.09) Digital affine shear transforms: fast realization and applications in image/video processing. SIAM Journal on Imaging Sciences. 9 (3):1437 - 1466. Article in Journal download pdf

  5. Han, B., Zhao, Z., and Zhuang, X. (2016.09) Directional tensor product complex tight framelets with low redundancy. Applied and Computational Harmonic Analysis. 41 (2): 603 - 637. Article in Journal download pdf

  6. Chui, C. K., De Villiers, J., and Zhuang, X. (2016.07) Multirate systems with shortest spline-wavelet filters. Applied and Computational Harmonic Analysis. 41 (1): 266 - 296. Article in Journal download pdf

  7. Han, B. and Zhuang, X. (2015.09) Smooth affine shear tight frames with MRA structures. Applied and Computational Harmonic Analysis. 39 (2):300-338. Article in Journal download pdf

  8. Bodmann, B. G., Kutyniok, G., and Zhuang, X. (2015.01) Gabor shearlets. Applied and Computational Harmonic Analysis. 38 (1):87-114. Article in Journal download pdf

  9. Tan, C. and Zhuang X. (2014.06) The common Hardy space and BMO space for singular integral operators associated with isotropic and anisotropic homogeneity. Journal of Mathematical Analysis and Applications. 414: 480-487. Article in Journal download pdf

  10. King, E. J., Kutyniok, G., and Zhuang, X. (2014.02) Analysis of inpainting via clustered sparsity and microlocal analysis. Journal of Mathematical Imaging and Vision. 48 (2): 205-234. Article in Journal download pdf

  11. Han, B. and Zhuang, X. (2013.01) Algorithms for matrix extension and orthogonal wavelet filter banks over algebraic number fields. Mathematics of Computation. 82 (281): 459-490. Article in Journal download pdf

  12. Specktor, S. and Zhuang, X. (2012) Asymptotic Bernstein type inequalities and estimation of wavelet coefficients. Methods and Applications of Analysis. 19 (3): 289-312. Article in Journal download pdf

  13. Kutyniok, G., Shaharm, M., and Zhuang, X. (2012) ShearLab: A rational design of a digital parabolic scaling algorithm. SIAM Journal on Imaging Sciences. 5 (4):1291-1332. Article in Journal download pdf

  14. Mo, Q. and Zhuang X. (2012) Matrix splitting with symmetry and dyadic framelet filter banks over algebraic number fields. Linear Algebra and its Applications. 437(10): 2650-2679. Article in Journal download pdf

  15. Zhuang, X. (2012) Matrix extension with symmetry and construction of biorthogonal multiwavelets with any integer dilation. Applied and Computational Harmonic Analysis. 33(2): 159-181. Article in Journal download pdf

  16. Chui, C. K., Han, B., and Zhuang, X. (2012) A dual-chain approach for bottom-up construction of wavelet filters with any integer dilation. Applied and Computational Harmonic Analysis. 33(2): 204-225. Article in Journal download pdf

  17. Han, B. and Zhuang, X. (2010) Matrix Extension with symmetry and its applications to symmetric orthonormal multiwavelets. SIAM Journal on Matrix Analysis and Applications. 42(5): 2297-2317. Article in Journaldownload pdf

  18. Han, B. and Zhuang, X. (2009) Analysis and construction of multivariate interpolating refinable function vectors. Acta Applicandae Mathematicae. 107: 143-171.Article in Journaldownload pdf

  19. Han, B., Kwon, S. G. and Zhuang, X. (2009) Generalized interpolating refinable function vectors. Journal of Computational and Applied Mathematics. 227: 254-270.Article in Journaldownload pdf

  20. Zhuang, X. and Dai, D. Q. (2007) Improved discriminate analysis for high dimensional data and its application to face recognition. Pattern Recognition. 40: 1570-1578.Article in Journaldownload pdf

  21. Zhuang, X., Dai, D. Q. and Yuen, P. C. (2005) Face recognition by inverse Fisher discriminant features. Lecture notes in Computer Science.3832: 92-98.Article in Journaldownload pdf

  22. Zhuang, X. and Dai, D. Q. (2005) Inverse Fisher discriminate criteria for small sample size problem and its application to face recognition. Pattern Recognition. 38: 2129-2194.Article in Journaldownload pdf

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  • Che Z. and Zhuang, X. (2017) Affine shear tight frames with two-layer structure. Wavelets and Sparsity XVII, SPIE Proc. 10394-22. Article in Journal download pdf

  • Che Z. and Zhuang, X. (2017) Digital Affine Shear Filter Banks with 2-Layer Structure. 2017 International Conference on Sampling Theory and Applications (SampTA), Tallinn, Estonia. 575-579. Article in Journal download pdf

  • Zhuang, X. (2015) Smooth affine shear tight frames: digitization and applications. Wavelets and Sparsity XVI, SPIE Proc. 9597-09. Article in Journal download pdf

  • Bodmann, B. G., Kutyniok, G., and Zhuang, X. (2011) Coarse quantization with the fast digital shearlet transform. Wavelets and Sparsity XIV, SPIE Proc. 8138, 8138OZ-1 - 8138OZ-10. Article in Journal download pdf

  • King, E. J., Kutyniok, G., and Zhuang, X. (2011) Analysis of data separation and recovery problems using clustered sparsity. Wavelets and Sparsity XIV, SPIE Proc. 8138, 813818-1 - 813818-11. Article in Journal download pdf

  • Donoho, D. L., Kutyniok, G., Shahram, M., and Zhuang, X. (2011) A rational design of a digital shearlet transform. The 9th International Conference on Sampling Theory and Applications (SampTA'11), Singapore. download pdf

  • Zhuang, X. (2011) Matrix extension with symmetry and its applications. Approximation Theory XIII: San Antonio 2010, M. Neamtu and L.L. Schumaker eds. Springer. Article in Journal download pdf

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  • Kutyniok, G., Lim, W.-Q., and Zhuang, X. (2012) Digital Shearlet Transforms. Book chapter in "Shearlets: Multiscale Analysis for Multivariate Data". Springer. Article in Journal
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  • Zhuang, X. (2010) Interpolating refinable function vectors and matrix extension with symmetry. University of Alberta Library.Article in Journaldownload pdf
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    Last updated: Wednesday, 15-Nov-2017 11:03:34 HKT