Reserach

  1. (with Yanran Li and Bruce W. Suter), An adaptive inpainting algorithm based on DCT induced wavelet regularization, IEEE Transactions on Image Processing, xx(x)(201x), pp. xxxx – xxxx. (pdf)
  2.  (with A. Krol, S. Li, and Yuesheng Xu), Preconditioned alternating projection algorithms for maximum a posteriori ect reconstruction, accepted by Inverse Problems in 2012.
  3.  (with Qia Li, Charles A. Micchelli, and Yuesheng Xu), A proximity algorithm accelerated by Gauss-Seidel iterations for L1=TV denoising models, Inverse Problems, 28(2012), 095003(20pp).
  4.  (with Charles A. Micchelli, Yuesheng Xu, and Xueying Zeng), Proximity algorithms for image models II: L1/TV denoising, Advances in Computational Mathematics, published online, 2011.
  5. (with Qia Li and Lihua Yang), Split-Bregman iteration for framelet based image inpainting, Applied and Computational Harmonic Analysis, 32(1)(2012), pp. 145-154.
  6.  (with Qiaofang Lian, Yuesheng Xu, and Lihua Yang), Filters of wavelets on invariant sets for image denoising, Applicable Analysis, 90(8)(2011), pp. 1299-1322.
  7. (with Bruce W. Suter), Eigengaps for hub-dominant matrices, Applicable Analysis, 90(8)(2011), page 1227-1242.
  8. (with Yanran Li, Dao-Qing Dai, and Bruce W. Suter), Framelet algorithms for deblurring images corrupted by impulse plus Gaussian noise, IEEE Transactions on Image Processing, 20(7)(2011), pp. 1822 – 1837.
  9. (with Charles A. Micchelli and Yuesheng Xu), Proximity algorithms for image models: denoising, Inverse Problems, 27(2011), 045009(30pp).
  10. (with Yao Lu and Yuesheng Xu) Integral equation models for image restoration: high accuracy methods and fast algorithms, Inverse Problems, 26(2010),045006(32pp) (This article has been selected as a journal’s “Highlights 2010” by its Editorial Board).
  11. (with Yan-Ran Li and Dao-Qing Dai) Multiframe super-resolution reconstruction using sparse directional regularization, IEEE Transactions on Circuits and Systems for Video Technology, 20(7)(2010), pp. 945–956.
  12. (with Lihui Tan and Lihua Yang), Rational orthogonal bases satisfying the Bedrosian identity, Advances in Computational Mathematics, 33(3)(2010), pp. 285-303.
  13. (with Bruce W. Suter), Bounds for eigenvalues of arrowhead matrices and their applications to hub matrices and wireless communications, 2009(2009), EURASIP Journal on Advances in Signal Processing, Article ID 379402, 12 pages.
  14. (with Jianfeng Cai, Raymond Chan, and Zuowei Shen), Simultaneously inpainting in image and transformed domains, Numerische Mathematik, 112(4)(2009), pp. 509-533.
  15. (with Jianfeng Cai, Raymond Chan, and Zuowei Shen), Convergence analysis of tight framelet approach for missing data recovery, Advances in Computational Mathematics, 31(2009), pp. 87-113.
  16. (with T. Liu, S.Woodiga, J. Montefort, and K.J. Conn), Global skin friction diagnostics using luminescent oil, Journal of Flow Visualization and Image Processing, 16(1)(2009), pages 19-39.
  17. (with M. Aslam and S.D. Riemenschneider), Smoothing transforms for wavelet approximation of piecewise smooth functions, IET Image Processing, 2(2008), pages 239-248.
  18. (with Tianshu Liu) Fluid flow and optical flow, Journal of Fluid Mechanics, 614(2008), pages 253-291.
  19. (with Jianfeng Cai, Raymond Chan, and Zuowei Shen) Restoration of Chopped and Nodded Images by Framelets, SIAM Journal on Scientific Computing, 30 (2008), page 1205-1227.
  20. (with Tianshu Liu, J. Montefort, S. Woodiga, P. Merati) Global luminescent oil film skin friction meter, AIAA Journal, 46(2)(2008), pages 476-485.
  21. (with Yao Lu and Yuesheng Xu) Multi-parameter regularization methods for highresolution image reconstruction with displacement errors, IEEE Transactions on Circuit and Systems I, 54(8)(2007), pages 1788-1779.
  22. (with Ikhlas Abdel-Qader, Christina Jacobs, Fadi A Amara, and Sarah Pashaie-Rad) Unsupervised detection of suspicious tissue using data modeling and PCA, International Journal of Biomedical Imaging, (2006), pages 1-11. Article ID 57850.
  23. (with Manos Papadakis, Ioannis Kakadiaris, Ioannis Konstantinidis, Donald J. Kouri, and David K. Hoffman) Image denoising with a tight frame, IEEE Transactions on Image Processing, 15(5)(2006), pages 1254–1263.
  24. (with Yao Lu and Yuesheng Xu) Shadow block iteration for solving linear systems obtained from wavelet transforms, Applied and Computational Harmonic Analysis, 19 (2005), pages 359-385.
  25. (with Raymond Chan, Sherman D. Riemenschneider, and Zuowei Shen) High-Resolution Image Reconstruction With Displacement Errors: A Framelet Approach, International Journal of Imaging Systems and Technology, 14(3) (2004), pages 91-104.
  26. (with Raymond Chan, Sherman D. Riemenschneider, and Zuowei Shen) Tight Frame: An efficient way for high-resolution image reconstruction, Applied and Computational Harmonic Analysis, 17(1)(2004), pages 91-115.
  27. (with Qiyu Sun) Bi-orthogonal wavelet system for high-resolution image reconstruction, IEEE Transactions on Signal Processing, 52(2004), 1997–2011.
  28. (with Jiansheng Yang, Manos Papadakis, Ioannis A. Kakadiaris, Donald J. Kouri, and David K. Hoffman) Orthonormal wavelets arising from HDAFs, in “Wavelets, Frames and Operator Theory”, Contemporary Mathematics, AMS, vol. 345, 2004.
  29. (with Jiansheng Yang, Manos Papadakis, Ioannis A. Kakadiaris, Donald J. Kouri, and David K. Hoffman) On the smoothness of the modified Hermite distributed approximating functional orthonormal wavelets, Applied and Computational Harmonic Analysis, 15(3)(2003), 242-254.
  30. (with Jiansheng Yang) Time-frequency localization of Shannon wavelet packets, IEE Proceedings: Vision, Image and Signal Processing, 150(6)(2003), 365-369.
  31. (with Raymond H. Chan, Tony F. Chan, and Zuowei Shen) Wavelet algorithms for high-resolution image reconstruction, SIAM Journal on Scientific Computing, 24(2003),1408-1432.
  32. (with Raymond H. Chan, Tony F. Chan, and Zuowei Shen) Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction, Linear Algebra and its Applications, 366(2003), 139-155.
  33. Image deconvolution using wavelet regularization, Journal of Electronic Imaging, 11(2002), 5-10.
  34. (with Hwee Huat Tan) A characterization of symmetric/antisymmetric orthonormal length-4 multifilters, IEE Proceedings: Vision, Image and Signal Processing, 148 (2001), 103–106.
  35. (with Xuming He and Zuowei Shen) A data adaptive knot selection scheme for fitting splines, IEEE Signal Processing Letters, 8 (2001), 137-139.
  36. (with Hwee Huat Tan) On a family of orthonormal scalar wavelets and related balanced multiwavelets, IEEE Transactions on Signal Processing, 49 (2001), 1447-1453.
  37. (with Hwee Huat Tan and Jo-Yew Tham) Symmetric-antisymmetric orthonormal multiwavelets and related scalar wavelets, Applied and Computational Harmonic Analysis, 8 (2000), 258-279.
  38. (with Hwee Huat Tan and Jo-Yew Tham) Some properties of symmetric/antisymmetric orthonormal multiwavelets, IEEE Transactions on Signal Processing, 48 (2000), 2161-2164.
  39. (with Jo-Yew Tham, Seng Luan Lee, and Hwee Huat Tan) A general approach for analysis and application of discrete multiwavelet transforms, IEEE Transactions on Signal Processing, 48 (2000), 457-464.
  40. (with Hwee Huat Tan and Jo-Yew Tham) New biorthogonal multiwavelets for image compression, Signal Processing, 79 (1999), 45-65.

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