Publications

Journals      -(86)

Reports       -(26)

Conference  -(39)

Invited Talks-(47)

 

 

 

 

Publications (January 1996 - November 2001)

International Refereed Journals

  1. Lawton, W., S. L. Lee and Z. W. Shen, An algorithm for matrix transformation and wavelet construction, Mathematics of Computation, 65 #214, (1996), 723-737. United States
  2. Lee, S. L. and H. H. Tan, Smooth Bezier surfaces over simple triangular meshes, Annals of Numerical Mathematics, 3(1996), 181-208. Switzerland
  3. Lawton, W., Mathematical Methods for Active Geometry, Annals of Numerical Mathematics, 3(1996), 163-180. Switzerland
  4. Lawton, W., Information theory, wavelets, and image compression, International Journal of Imaging Systems and Technology, 8(1997), 1-9
  5. Lawton, W., A fast method to map functions forward, Multidimensional Systems and Signal Processing, 8(1997), 1-9. (United States)
  6. Lawton, W., S. L. Lee, and Z. W. Shen,Stability and orthonornmality of multivariate refinable functions, SIAM Journal of Mathematical Analysis, 28(1997), 999 - 1014. (United States)
  7. Jiang, Q. and S. L. Lee, Spectral properties of matrix continuous refinement operators, Advances in Computational Mathematics, 7(1997), 282 - 399.
  8. Jiang, Q., Wavelet transform and orthogonal decomposition of L2 space on the Cartan domain BDI (q=2), Transactions of the American Mathematical Society, 349(1997), 2049 - 2068. (United States)
  9. Shen, Z. W. and A. Ron, Weyl-Heisenberg frames and Riesz bases in L2(Rd), Duke Mathematical Journal, 89(1997), 237-282. (United States)
  10. Riemenschneider, S. D. and Z. W. Shen, Multidimensional interpolatory subdivision schemes, SIAM J. Numer. Anal., 34(1997), 2357-2381. (United States)
  11. Ron, A. and Z. W. Shen, Affine system in L2(Rd): the analysis of the analysis operator, J. Functional Anal., 148(1997), 408-447. (United States)
  12. Ron, A. and Z. W. Shen, Affine systems in L2(Rd)II: dual systems, J. Fourier Anal. Appl., 3(1997), 617-637. (United States)
  13. Lawton, W., R. Raghavan, S. R. Ranjan and R. R. Viswanathan, A continuum-mechanical model for cortical growth, Journal of Theoretical Biology, 187(1997), 285.
  14. Goh S. S. and V. B. Yap, Matrix extension and biorthogonal multiwavelet construction, Linear Algebra and its Applications, 269(1998), 139 - 157. (United States)
  15. Goh, S. S., S. L. Lee, Z. W. Shen and W. S. Tang, Construction of Schauder decomposition on Banach spaces of periodic functions, Proceedings of the Edinburgh Mathematical Society, 41(1998), 61 - 91. (United Kingdom)
  16. Shen, Z. W., Refinable function vectors, SIAM J. Math. Analysis, 29(1998), 235-250. (United States)
  17. Lee, S. L., R. Q. Jia and A. Sharma, Spectral properties of continuous refinement operators, Proc. American Math. Soc., 126(1998), 729 - 737. (United States)
  18. Jiang, Q., Rotation invariant ambiguity functions, Proc. of Amer. Math. Soc., 126(1998), no. 2, 561 - 567. (United States)
  19. Jiang, Q., Orthogonal multiwavelets with optimum time-frequency resolution, IEEE Trans. on Signal Processing, Special Issue on "Filter banks and wavelets: theory and applications", #4, 46(1998), 830 - 844. (United States)
  20. Lee, S. L., H. H. Tan and A. Sharma, Compactly supported fundamental splines and wavelet bases, Applied and Computational Harmonic Analysis, 5(1998), 249 - 276. (United States)
  21. Lawton, W. and C. A. Micchelli, Construction of conjugate quadrature filters with specified zeros, Numerical Algorithms, volume 14, pages 383-399, 1997.
  22. Jiang, Q., On the regularity of matrix refinable functions, SIAM J. Math. Anal., 29(1998), 1157-1176. (United States)
  23. Jiang, Q., Multivariate matrix refinable functions with arbitrary matrix dilation, Trans. Amer. Math. Soc., 351 (1999), 2407-2438. (United States)
  24. Jiang, Q. and Z. W. Shen, On the existence and weak stability of matrix refinable functions, Constructive Approximation, 15 (1999), 337-353. (United States)
  25. Jiang, Q., On the design of multifilter banks and orthonormal multiwavelet bases, IEEE Trans. on Signal Processing, #12, 46(1998). (United States)
  26. Hui Ji, S. D. Riemenschneider and Z. W. Shen, Multivariate compactly supported fundamental refinable functions, duals and biorthogonal wavelets, Studies in Appl. Math., 102(1999), 173 - 204. (United States)
  27. Lee, S. L., B. Liu, J. Y. Tham, Wavelet research at the National University of Singapore, World Sci-Tech R&D, the Journal of the Chinese Academy of Science and Chinese Academy of Engineering, Sept. 1997. (China)
  28. Tang, W. S., Oblique projections, biorthogonal Riesz bases and multiwavelets in Hilbert spaces, Proc. Amer. Math. Soc., 128(2000), 463-473. (United States)
  29. Goodman, T. N. T. and S. L. Lee, Convergence of nonstationary cascade algorithms, Numer. Math., 84(1999), 1-33. (Germany)
  30. Lawton, W., S. L. Lee and Z. W. Shen, Convergence of multidimensional cascade algorithm, Numerische Mathematik, volume 78, pages 427-438, 1998.
  31. Lawton, W., R. Raghavan, S. R. Ranjan and R. R. Viswanathan, Ribbons and groups: A thin rod theory for catheters and filaments, Journal of Physics A, volume 32, number 9, pages 1709-1735, March 1999.
  32. Lawton, W., S. Meiyappan, R. Raghavan, R. Viswanathan and Y. Yu, A civil engineering model of protein conformational changes, Journal of Molecular Modelling, volume 5, pages 17-36, 1999.
  33. Jiang, Q., S. S. Goh, N. C. Lim and Z. Lin, Selection of initial parameters for signal representation by adaptive wavelets, Opt. Eng., 37 (1998), 2613-2619. (United States)
  34. Jiang, Q., S. S. Goh and Z. Lin, Local discriminant time-frequency atoms for signal classification, Signal Process., 72 (1999), 47-52 (The Netherlands).
  35. Tang, W S, Oblique multiwavelets in Hilbert spaces, Proceedings of the American Mathematical Society 128(2000), 2017-2031. (United States)
  36. Tham, J. Y., S. Ranganath, A. K. Kassim, Highly scalable wavelet-based video codec for very low bit rate environment, IEEE Journal on Selected Areas in Communications - Special Issue on Very Low Bit-rate Video Coding, vol. 16, no. 1, pp. 12-27, Jan. 1998. (United States)
  37. Tham, J. Y., S. Ranganath, M. Ranganath, A. K. Kassim, A ovel unrestricted center-biased diamond search for block motion estimation, IEEE Transactions on Circuits and Systems for Video Technology, vol. 8, no. 4, pp. 369-377, August 1998. (United States)
  38. Wang, Y., S. L. Lee, Scale-space derived from B-splines, IEEE Trans. on Pattern Analysis and Machine Intelligence, vol.20, no.10, October, pp. 1050-1065, 1998. (United States)
  39. Wang, Y., Initialization of wavelet transform using interpolatory subdivision scheme, IEEE Trans. on Signal processing, vol.47, no.03, p. 876, 1999. (United States)
  40. Wang, Y., S. L. Lee, K. Torachi, Multiscale shape representation using B-spline wavelets, IEEE Trans. on Image Processing, 8(1999), 1586 - 1592. (United States)
  41. Wang, Y., Image representations using multiscale differential operators, IEEE Trans. on Image Processing, 8(1999), 1757 - 1771. (United States)
  42. Wang, Y. and R. Qu, Fast implementation of scale-space filtering using interpolatory subdivision scheme, IEEE Trans. on Pattern Analysis and Machine Intelligence, 21(1999), 933 - 939. (United States)
  43. Ka-Sing Lau and Qiyu Sun, Asymptotic regularity of Daubechies' scaling functions, Proceeding American Mathematical Society, 128(2000), 1087-1095. (United States)
  44. Xinrong Dai, Qiyu Sun and Zeyin Zhang, Compactly supported both m and n refinable distributions, East Journal of Approximations, 6(2000), 201-209. (Bulgaria)
  45. Qiyu Sun, Sobolev exponent estimate and asymptotic regularity of M band Daubechies' scaling functions, Constructive Approximation, 15(1999), 441-465. (United States)
  46. Liu, B. and S. F. Ling, On the selection of informative wavelets for machinery diagnosis, J. of Mechanical Systems and Signal Processing, 13(1999), 145-162. (United Kingdom)
  47. Ron, A. and Z. W. Shen, Compactly supported tight affine spline frames in L2(Rd), Mathematics of Computation, 67 (1998), 191 - 207.
  48. Ron, A. and Z. W. Shen, Construction of compactly supported affine frames in L2(Rd), Advances in wavelets, Ka-Sing Lau ed., 27 - 49, Springer-Verlag, 1999. (Singapore)
  49. Goh, S. S., S. L. Lee and W. S. Tang, From cardinal Hermite splines to multiwavelets, Advances in wavelets, Ka-Sing Lau ed., 163-185, Springer-Verlag, 1999. (Singapore)
  50. Lawton, W., Conjugate quadrature filters, Advances in wavelets, Ka-Sing Lau ed., 103-119, Springer-Verlag, 1999. (Singapore)
  51. Xia, T. and Q. Jiang, Optimal multifilter banks: Design, related symmetric extension transform and application to image compression, IEEE Trans. on Signal Processing, July, 1878-1889, 1999. (United States)
  52. Hui Ji and Z. W. Shen, Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions, Adv. Comp. Math., 11(1999), 81 - 104. (United States)
  53. J. Y. Tham, L. Shen, S. L. Lee and H. H. Tan, A General Approach for Analysis and Application of Multiwavelet Transforms, IEEE Trans. Signal Processing, vol. 48, no. 2, pp. 457-464, Feb. 2000.
  54. L. Shen, H. H. Tan and J. Y. Tham, Symmetric-Antisymmetric Orthomormal Multiwavelet and Related Scalar Wavelets, Applied and Computational Harmonic Analysis, vol. 8, no. 3, pp. 258-279, May 2000.
  55. H. H. Tan, L. Shen and J. Y. Tham, New Biorthogonal Multiwavelets for Image Compression, Signal Processing, vol. 79, pp. 45-65, 1999.
  56. L. Shen, H. H. Tan and J. Y. Tham, Some properties of symmetric-antisymmetric orthonormal multiwavelets, IEEE Transactions on Signal Processing, vol. 48, no. 7, July 2000.
  57. Lek-Heng Lim, Judith A. Packer, Keith Taylor, A Direct Integral Decomposition of the Wavelet Representation, Proceedings of the American Mathematical Society, 129(2001), 3057-3067.
  58. Lawton, W. and C. Micchelli, Bezout identities with inequality constraints, Vietnam Journal of Mathematics, volume 28, number 2, pages 1-29, 2000.
  59. Lawton, W., R. Raghavan and V. Viswanathan, Tubes in tubes: Catheter navigation in blood vessels and its applications, International Journal of Solids and Structures, volume 37, number 22, pages 3031-3054, March 2000.
  60. Goh, S. S., S. L. Lee and K. M. Teo, Multidimensional periodic multiwavelets, J. Approx. Theory, 98(1999), 72-103 (United States).
  61. Goh, S. S. and K. M. Teo, An algorithm for constructing multidimensional biorthogonal periodic multiwavelets, Proc. Edinburgh Math. Soc., 43(2000), 633-649 (United Kingdom).
  62. Goh, S. S., Q. Jiang and. Xia, Construction of biorthogonal multiwavelets using the lifting scheme, Appl. Computat. Harmonic Anal., 9(2000), 336-352 (United States).
  63. Goh, S. S. and C. H. Yeo, Uncertainty products of local periodic wavelets, Adv. Computat. Math., 13(2000), 319-333 (United States).
  64. Liu, B. and S. F. Ling, Machinery diagnosis based on wavelet packets, J. of Vibration and Control, 3(1997), 5 - 17. (United States)
  65. Lawton, W, Infinite convolution products and refinable distributions on Lie groups, Transactions of the American Mathematical Society, volume 352, pages 2913-2936, 2000.
  66. R.Q. Jia, Q. Jiang and Z. Shen, Convergence of cascade algorithms associated with nonhomogeneous refinement equations, Proceedings of the American Mathematical Society, 129(2000), 415-427.
  67. A. Ron and Z. Shen, The Sobolev regularity of refinable functions, Journal of Approximation Theory, 106(2000), 185-225.
  68. Q. T. Jiang, Parameterization of M-channel orthogonal multifilter banks, Adv. Comput. Math., 12(2000), no. 2-3, 189-211.
  69. R. Q. Jia, Q. Jiang and Z. W. Shen, Distributional solutions of nonhomogeneous discrete and continuous refinement equations, SIAM J. Math. Anal., 32(2000), no. 2, 420 - 434.
  70. Jiang, Qingtang, Parameterizations of symmetric orthogonal multifilter banks with different filter lengths, Linear Algebra Appl., 311(2000), no. 1-3, 79-96.
  71. Liu, B., S. F. Ling and G. Gribonval, Bearing Failure Detection Using Matching Pursuit, to appear in NDT&E International.
  72. Chang, C. S., S. Kumar, B. Liu and A. Khambadkone, Real-Time Detection Using Wavelet Transform and Neural Networks of Short Circuit Faults within a Train in DC Transit Systems, IEE Proceedings B, Electric Power Applications, 148(2001), 251 - 256.
  73. Xuming He, Lixin Shen, Zuowei Shen, A Data Adaptive Knot Selection Scheme for Fitting Splines, IEEE Signal Processing Letters, vol. 8, no. 5, 2001.
  74. L. Shen and H. H. Tan, A Characterization of Symmetric/Antisymmetric Orthonormal Length-4 Multifilters, IEE Proceedings: Vision, Image and Signal Processing, vol. 148, issue 2, pp. 103 - 106, 2001.
  75. L. Shen and H. H. Tan, On a family of orthonormal scalar wavelets and related balanced multiwavelets, IEEE Transactions on Signal Processing, vol. 49, Jul. 2001.
  76. L. Shen, Image deconvolution using wavelet regularization, Journal of Electronic Imaging, January 2002.
  77. Akram Aldroubi, Qiyu Sun and Wai-Shing Tang, p-frames and shift invariant subspaces of L^p, Journal of Fourier Analysis and Applications, 7:1(2001), 1-21.
  78. Qiyu Sun, Stability of the shifts of global supported distributions, Journal of Mathematical Analysis and Applications, 261(2001), 113-125.
  79. Qiyu Sun, Compactly supported distributional solutions of nonstationary nonhomogeneous refinement equation, Acta Mathematics Sinica, 17(2001), 1-14.
  80. Qiyu Sun, Convergence and boundedness of Cascade algorithm in Besov spaces and Triebel-Lizorkin spaces: Part II, Advance in Mathematics (China), 30(2001), 22-36.
  81. Ai-Hua Fan and Qiyu Sun, Regularity of Butterworth refinable functions, Asia Journal of Mathematics, 5(2001), 443-440.
  82. A. Ron, Z. Shen and Kim Chuan Toh, Computing the Sobolev regularity of refinable functions by Arnoldi method, SIAM Journal of Matrix Analysis and Applications, 23 (2001), 57-76.
  83. T. N. T. Goodman, C. A. Micchelli and Z. Shen, Riesz bases in subspaces of $L_2(R_+)$, Constructive Approximation, 17 (2001), 39-46.
  84. W. Lawton, The inverse problem for Euler's equation on two and three dimensional Lie groups, ScienceAsia, volume 28, number 1, 2001.
  85. W. Lawton and L. Noakes, Computing the inertia operator of a rigid body, Journal of Mathematical Physics, volume 42, number 4, pages 1-11, April 2001.
  86. Goh, S. S. and C. A. Micchelli, Uncertainty principles in Hilbert spaces, J. Fourier Anal. Appl., to appear (United States).

Reports

  1. Jiang, Q., On the construction of biorthogonal multiwavelet bases, Preprint, National University of Singapore, 1997.
  2. Jiang, Q., Notes on the approximation property of multivariable refinable vectors, Preprint, National University of Singapore, 1998.
  3. Tham, J. Y., S. Ranganath and M. Ranganath, A fast hierarchical diamond search algorithm for block motion estimation and scalable video compression, Preprint, National University of Singapore, 1997.
  4. Jiang, Q., S. S. Goh, N. C. Lim and Z. Lin, Signal representation using adaptive wavelets, National University of Singapore, Research Report, no.705, 20 pages, 1997. (Singapore)
  5. Lim, N. C., Z. Lin, Q. Jiang and S. S. Goh, Adaptive continuous wavelet transform for signal classification, National University of Singapore, Research Report, no. 706, 13 pages, 1997. (Singapore)
  6. Lee, S. L. and W. S. Tang, An elementary proof of a basic formula for orthonormal wavelets in Hilbert spaces, Preprint, National University of Singapore, 1998.
  7. Lawton, W., Radar Imaging and Ambiguity Kernels, Defence Science Organization National Laboratories Technical Report, Singapore, April 1998.
  8. Lawton, W., Chirp Detection, Defence Science Organization National Laboratories Technical Report, Singapore, April 1998.
  9. Jia, R., Q. Jiang and S. L. Lee, Convergence of cascade algorithms in Sobolev spaces and integrals of wavelets, Preprint, National University of Singapore, 1998.
  10. Liu, B. and S. F. Ling, Fault detection of rolling-element bearings with continuous wavelet transform, Preprint, National University of Singapore, 1998.
  11. Shen, L. and Z. W. Shen, Compression with time-frequency localization filters, submitted to IEEE SP.
  12. Wang, Y., A family of multi-orientation wavelet transforms and the comparison with the Radon transform, Preprint, National University of Singapore, 1998.
  13. Chang, C. C., K. Kumar, B. Liu, A new approach to the real-time detection of remote locomotive short-circuit current in DC MRT systems based on wavelet transform and neural networks, submitted, 2000.
  14. Lawton, W. and Y. Lenbury, Interpolatory solutions of linear ODE's, submitted.
  15. L. Shen, H. H. Tan and J. Y. Tham, Theory and implementation for a special class of orthonormal wavelets, Mar. 1999.
  16. L. Shen and H. H. Tan, A General Multiwavelet Thresholding Operator, submitted to IEEE Transactions on Signal Processing, Nov. 1999 (revised in Sep. 2000).
  17. L. Shen and H. H. Tan, On a family of orthonormal scalar wavelets and related balanced multiwavelets, submitted to IEEE Transactions on Signal Processing, Jan. 2000 (revised Oct. 2000).
  18. Lixin Shen and Jiansheng Yang, A Class of Orthonormal Bases for Band-Limited Function Space, July 2000.
  19. Jiansheng Yang and Lixin Shen, Time-Frequency Localization of Shannon Wavelet Packets, July 2000.
  20. Lixin Shen and Huat Hwee Tan, Attainable orders in balancing symmetric-antisymmetric orthonormal multiwavelets, Oct. 2000.
  21. Raymond H. Chan, Tony F. Chan, Lixin Shen, Zuowei Shen, Wavelet algorithms for high-resolution image reconstruction, Dec. 2000.
  22. Raymond H. Chan, Tony F. Chan, Lixin Shen, Zuowei Shen, Wavelet method for high-resolution image reconstruction with displacement errors, Jan. 2001.
  23. Liu, B., Adaptive Harmonic Wavelet Transform with Applications in Vibration Analysis, submitted 2001.
  24. Judith A. Packer and Marc Rieffel, Filter functions, the matrix completion problem, and projective modules over C(T^n), submitted to J. Fourier Anal. Appl., 2001.
  25. Y. Niu and Timothy Poston, DWT-Based Image Transmission Error Concealment Techniques, submitted to IEEE transactions on Circuits and Systems for Video Technology in Jul. 2001.
  26. Y. Niu and Timothy Poston, An Application of Elliptic Equation to Edge Recovery of DWT- Based Image Transmission Error, submitted to Applied Mathematical Modelling in Jul. 2001.

Conference Papers

  1. Tham, J. Y., S. Ranganath and A. K. Kassim, Scalable very low bit rate video compression using motion compensated 3-D wavelet decomposition, IEEE International Workshop on Intelligent Signal Processing and Communication Systems (ISPACS), vol. 3, pp. 39.7.1 - 39.7.5, November 1996. (Singapore)
  2. Lee, S. L., Wavelets and Multiwavelets, Lecture Notes (66 pages), based on invited lectures given at the Chinese University of Hong Kong, November 1996.
  3. Shen, Z. W. Extension of matrices with Laurent polynomial entries, Proceedings of the 15th IMACS World Congress on Scientific Computation Modeling and applied Mathematics, 1(1997), Ashim Syclow ed., 57-61. (Germany)
  4. Goh, S. S., S. L. Lee and H. H. Tan, Orthogonal expansions and multilevel algorithms, in T. Sunada and P. W. Sy (eds.), Proceedings of the International Conference on Functional Analysis and Global Analysis, Springer-Verlag, 1997. (Philippines)
  5. Liu, B. and S. F. Ling, Tree-structured local basis selection using genetic algorithms, Proceedings of SPIE, vol. 3078, 1997. (United States)
  6. Liu, B. and S. F. Ling, Vibration signature identification using wavelets, Proceedings of the 32th International Conference on Automobile Technology, June 1997. (Italy)
  7. Liu, B., S. F. Ling and Tseng, C. H. Machinery fault diagnosis by discriminating pursuit, Proceedings of the 5th International Conference on Machine Condition Monitoring and Diagnosis, March 1997, Xi'an. (China)
  8. Lee, S. L. and W. S. Tang, Characterisation of wavelets bases and frames in Hilbert spaces, Proceedings of SPIE, 3169(1997), 282 - 290. (United States)
  9. Goodman, T. N. T. and S. L. Lee, Convergence of cascade algorithms, in Mathematical Methods for Curves and Surfaces, Proceedings of Conference, Norway, Morten Daehlen, Tom Lyche and Larry L. Schumaker (eds.) Vanderbilt University Press, Nashville 1998, 191 - 212. (United States)
  10. Goodman, T. N. T. and S. L. Lee, Refinable vectors of spline functions, in Mathematical Methods for Curves and Surfaces, Proceedings of Conference, Norway, Morten Daehlen, Tom Lyche and Larry L. Schumaker (eds.) Vanderbilt University Press, Nashville 1998, 213 - 220. (United States)
  11. Goodman, T. N. T. and S. L. Lee, Nonstationary matrix cascade algorithms, Advances in Computational Mathematics (Guangzhou, 1997), 97 - 111. (China)
  12. Tham, J. Y., L. Shen, S. L. Lee and H. H. Tan, Good multifilter properties: A new tool for understanding multiwavelets, International Conference on Imaging Science Systems and Technology, July 1998, pp 52 - 59. (United States)
  13. Tham, J. Y., S. Ranganath, A. Kassim, Scalable multiwavelet-based image and video compression for multimedia applications, International Conference on Information Systems, Analysis and Synthesis, vol. 3, July 1998, pp 195 - 202. (United States)
  14. Tham, J. Y., S. Ranganath, A. Kassim, S. Y. Tan, Non-iterative adaptive postprocessing for ringing artifact suppression in compressed images, International Conference on Information Systems, Analysis and Synthesis, vol. 3, July 1998, pp 203 - 210. (United States)
  15. Lawton, W., Y. Yu, S. L. Lee, S. Tan, and J. Vandewalle, Wavelet based modelling of nonlinear systems, pages 119-148 in Proceedings of the International Workshop on Advanced Black-Box Techniques for Nonlinear Modeling with Time-Series Prediction Competition, Catholic University of Leuven, Belgium, July 8-10, 1998.
  16. Goh, S. S., S. L. Lee, Z. W. Shen and W. S. Tang, Multilevel projections on spaces of periodic functions, in Proceedings of the Second Asian Mathematical Conference 1995, Thailand, World Scientific, Singapore (1998), 22-29.
  17. Tham, J. Y., L. Shen, S. L. Lee, and H. H. Tan, A new multifilter design property for multiwavelet image compresssion, ICASSP '99, March 1999. (United States)
  18. Shen, L., J. Y. Tham, S. L. Lee, and H. H. Tan, A special class of orthonormal wavelets: theory, implementations, and applications, ICASSP '99, March 1999. (United States)
  19. Wang, Y. and S. L. Lee, From Gaussian scale-space to B-spline scale-space, ICASSP '99, Arizona, USA, March 1999. (United States)
  20. Lawton, W., Conditional ellipticity and constrained optimization, pages 279-297 in Advances in Computational Mathematics (edited by Z. Chen, Y. Li, C. Micchelli and Y. Xu), Marcel Dekker, New York, 1999.
  21. Lawton, W., S. Meiyappan, R. Raghavan, R. Viswanathan and Y. Yu, Proteinmorphosis: a mechanical model for protein conformational change, Proceedings of the Pacific Symposium on Biocomputing '99.
  22. Goh, S. S. and T. Xia, On the design of perfect reconstruction multiwavelet filter banks, in Proceedings of the IEEE-EURASIP Workshop on Nonlinear Signal and Image Proceedings, 779-783, 20-23 June 1999, Antalya, Turkey.
  23. Liu, B., Failure detection of rolling element bearings using matching pursuit, Proc. 7th International Congress on Sound and Vibration, Munich, July 4-7, 2000.
  24. Chang, C. C., B. Liu, K. Kumar, Real-time detection of remote locomotive short-circuit in a mass rapid transit system using wavelets and neural networks, Proc. 2000 International Conf. Artificial Intelligence, Las Vegas, June 26-29, 2000.
  25. Lawton, W. and Y. Yu, Learning from examples with spatial-adaptive wavelet-based reproducing kernels, Proceedings of the IEEE Symposium of Circuits and Systems (ISCAS) in Geneva, Switzerland, May 29 - 31, 2000.
  26. Lawton, W., M. Brady, K. Jung, R. Mulick, H. T. Nguyen, T. Poston, S. R. Rajan, V. Shalini, R. Viswanathan, Y. Yu and G. Zhu, Towards more physical virtual worlds: interactive haptic modeling of tensegrities and network structures, Technical Sketches of SIGGRAPH'99, Los Angeles, 1999.
  27. Lawton, W., C. A. Micchelli, Design of conjugate quadrature filters having specified zeros, volume 3, pages 2069-2073, Proceedings of ICASSP97, held at Munich, Germany, April 21-24, 1997.
  28. Lawton, W., Z. Lin, Matrix completion problems in multidimensional systems, Proceedings of IEEE International Symposium on Circuits and Systems, Orlando, Florida, May 30 - June 2, 1999.
  29. Lawton, W., Analytic signals and signal processing, Proceedings of the SPIE Meeting, Orlando, Florida, April 5-9, 1999.
  30. Akram Aldroubi, Qiyu Sun and Wai-Shing Tang, Connection between p-frames and p-Riesz bases in locally finite SIS of L^p(R^d), in Proceeding of SPIE 4119: Wavelet Applications in Signal and Image Processing VIII, A. Aldroubi, A. F. Laine and M. A. Unser eds., SPIE, 2000.
  31. Qiyu Sun, An Algorithm for the Construction of Symmetric and Anti-Symmetric M-Band Wavelets, in Wavelet Applications in Signal and Image Processing VIII, Proceedings of SPIE 4119, Akram Aldroubi, Andrew F. Laine, and Michael A. Unser eds., Oct. 2000.
  32. Wang Pei Jie, Shang Fuchun, Ding Ping, Tham Jo Yew, Lee Seng Luan, Scalable Multimedia Communication Over Heterogeneous Network, 2000 IEEE International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS 2000), vol. 1, 5 - 8 November 2000 (Hawaii).
  33. L. Shen and H. H. Tan, On the convergence of multiwavelet thresholding operators, The European Signal Processing Conference (EUSIPCO-2000).
  34. Lixin Shen, Hwee Huat Tan, and Fuchun Shang, A Pseudo Linear Criterion for Multifilter Bank Design, 2000 IEEE International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS2000), pp. 98-101, 2000.
  35. R. H. Chan, T. F. Chan, L. X. Shen and Z. W. Shen, A Wavelet Method For High-Resolution Image Reconstruction With Displacement Errors, Proceedings of the 2001 International Symposium on Intelligent Multimedia, Video and Speech Processing, pp. 24-27, Hong Kong, May, 2001.
  36. Chang, C. S., A. Khambadkone, S. Kumar, B. Liu, Application of Discrete Wavelet Transform for DC Bus Fault Detection in Transit Systems, Proc. 4th IEEE International Conf. on Power Electronics and Drives Systems, Bali, Indonesia, November 2001.
  37. Seng Luan Lee, Qiyu Sun and Xiaojie Gao, Spectrum of convolution dilation operator on weighted L^p space, in Challenges for the 21st Century, Proceedings of the International Conference on Fundamental Sciences: Mathematics and Theoretical Physics, edited by L H Y Chen, J P Jesudason, C H Lai, C H Oh, K K Phua and E-C Tan, World Scientific Press, 2001, pp. 51-72.
  38. Seng Luan Lee and Qiyu Sun, Boundedness of cascade algorithms in Besov spaces, First International Congress of Chinese Mathematicians (Beijing, 1998), pp. 473-479, AMS/IP Stud. Adv. Math., 20, Amer. Math. Soc., Providence, RI, 2001.
  39. Wang P. J., Shang F. C., Ding P., Tham J. Y. and Lee S. L., Scalable multimedia information distribution over heterogeneous network, ICCS 2000, the 7th. Int. Conf. on Commun. Syst., Nov. 2000.


Invited Lectures at International Conferences

  1. Shen, Z. W., Multivariate refinable functions, Workshops on spline functions and the wavelets theory, at Center de Recherches Mathematiques of University of Montreal, February 1996.
  2. Shen, Z. W., Affine frames, International conference on harmonic analysis and wavelet analysis at Peking University and the Institute of Mathematics of Chinese Academy of Sciences, June 1996.
  3. Shen, Z. W., Frames and stable bases for shift invariant subspaces of L2(Rd), International conference on harmonic analysis and wavelet analysis at Peking University and the Institute of Mathematics of Chinese Academy of Sciences, June 1996.
  4. Shen, Z. W., Construction of wavelets, International conference on harmonic analysis and wavelet analysis at Peking University and the Institute of Mathematics of Chinese Academy of Sciences, June 1996.
  5. Goh, S. S., Orthogonal expansions and multilevel algorithms, International Conference on Functional Analysis and Global Analysis, October 1996, JSPS-Philippines. Goh S. S. was an invited plenary speaker.
  6. Lee, S. L., Wavelets and Multiwavelets, Wavelets Seminars at the Chinese University of Hong Kong, November 1996 four one-hour lectures.
  7. Lawton, W., Infinite convolution products and refinable distributions on Lie groups, Wavelets Conference at the University of North Carolina, 1996.
  8. Lee, S. L., Convergence of cascade algorithms, Invited lecture at the International Conference on Mathematical Methods for Curves and Surfaces, 1997, Norway.
  9. Shen, Z. W., Tight frames in L2(Rd), Invited talk at the Workshop on Wavelets and their Applications at the Chinese University of Hong Kong, 5 - 8 May, 1997.
  10. Goh, S. S., Construction of periodic multiwavelets, Invited lecture at the Workshop on Wavelets and their Applications, The Chinese University of Hong Kong, Hong Kong, 5-8 May 1997.
  11. Tang, W. S., Wavelets associated with commuting unitary operators in Hilbert spaces, Invited lecture at the Workshop on Wavelets and their Applications, The Chinese University of Hong Kong, Hong Kong, 5-8 May 1997.
  12. Tang, W. S., Characterization of wavelets bases and frames in Hilbert spaces, Invited lecture at Wavelets Applications in Signal and Image Processing V, The Society of Photo-Optical Instrumentation Engineers, San Diego, USA, 30 July-1 August 1997.
  13. Lawton, W., Conjugate quadrature filters, Invited lecture at the Workshop on Wavelets and their Applications, The Chinese University of Hong Kong, Hong Kong, 5-8 May 1997.
  14. Shen, Z. W., Extension of matrices with Laurent polynomial entries, 15th IMACS World Congress on Scientific Computation Modeling and Applied Mathematics August, 1997, Berlin, Germany.
  15. Lee, S. L., Continuous Refinement Operators, Invited lecture at the Guangzhou International Conference on Computational Mathematics, August 1997, Guangzhou, China.
  16. Lee, S. L., Convergence and boundedness of cascade algorithms, Invited lecture at the International Congress of Chinese Mathematicians, December 1998, Beijing, China.
  17. Shen, Z. W., Interpolatory subdivision schemes and biorthogonal wavelets, Workshop on Scientific Computing and its Applications, Dec. 1-10, 1998, City Univ. of Hong Kong, Hong Kong.
  18. Shen, Z. W., Interpolatory subdivision schemes, Sept, 1998, Workshop on multivariate Approximation and Interpolation with Application in CAGD, Signal and Image Processing, (Invited participants only), at Eilat, Israel.
  19. Shen, Z. W., Cardinal interpolation, May 1998, Workshop on Approximation Theory and Wavelets, at University of Wisconsin-Madison, USA.
  20. Lawton, W., Homogenization and spectral graph theory, International Congress of Chinese Mathematicians, Beijing, December 12-16, 1998.
  21. Lee, S. L., Cascade algorithms and Subdivision Schemes, Invited lecture at the International Conference on Curves, Surfaces and Visualization, February 1999, Christchurch, New Zealand.
  22. Shen, Z. W., Tight Frames in L2(Rd), Surface Approximation and Visualization, Feb., 1999, Christchurch, New Zealand.
  23. Lee, S. L., L. Shen, H. H. Tan and J. Y. Tham, Multiwavelets: Theory and Applications, invited paper, Second International Workshop on Transforms and Filter Banks, Brandenburg, Germany, March 1999.
  24. Lawton, W., Analytic signals and signal processing, Annual Meeting of the Society of Photo-Optical Instrumentation Engineers, Orlando, Florida, April 5-9, 1999.
  25. Lawton, W., Matrix completion problems in multidimensional systems, IEEE International Symposium on Circuits and Systems, Orlando, Florida, May 30 - June 2, 1999.
  26. Shen, Z. W., Invited to give a plenary lecture on the section, Wavelets and Nonlinear Processes in Physics, 3rd IMACS/IEEE International Multiconference on Circuits, Systems, Communications and Computers, July 1999, Athens, Greece.
  27. Shen, Z. W., Invited to speak at a special section, Multiwavelets, and a special section, Wavelets and Approximation Theory, in Wavelet Applications in Signal and Image Processing VII (SD84) Part of SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, July 1999, Colorado, USA.
  28. Goh, S. S., On the design of perfect reconstruction multiwavelet filter banks, Invited lecture at the IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing, Antalya, Turkey, 20-23 June 1999.
  29. Goh, S. S., Some remarks on uncertainty, Invited lecture at the International Conference on Wavelet Analysis and its Applications, Guangzhou, P. R. China, 15-19 November 1999.
  30. Lawton, W., Taught a two day workshop: Wavelet analysis and its applications and an invited talk: Analysis across scales at the International Workshop and Conference on Analysis and its Applications held at Chiang Mai University in Thailand, May 15-19, 2000.
  31. Lawton, W., Interpolatory solutions of linear ODE's and extensions, International Conference on Nonlinear Evolutional Equations and Infinite Dimensional Dynamical Systems and their Numerical Solutions, Yunnan University, Kunming, China, August 3, 1999.
  32. Q. Sun, Representation of compactly supported distribution by integer translates of linear independent distributions, Invited talk at Second Congress ISAAC, Fukouka, Japan from August 16 to August 21, 1999.
  33. Q. Sun, Convergence of Cascade Algorithm and Smoothness of Refinable Functions, Invited lecture at the Guangzhou International Conference on Wavelets and Its Applications, Oct. 1999, Guangzhou, China.
  34. Q. Sun, Construction of symmetric and anti-symmetric M-band wavelets, Invited talk at SPIE 45th Annual Meeting, San Diego, 2000.
  35. Judith A. Packer, invited talk entitled Projective module frames over continuous functions on tori, in Special Session on Abstract Theory of Wavelets, American Mathematical Society Regional Meeting, San Francisco, California, USA, October 21-22, 2000.
  36. X. J. Gao, Spectral properties of subdivision operators and transfer operators, International Conference of Computational Harmonic Analysis, City University of Hong Kong, June 4-8, 2001.
  37. Y. Niu, DWT-based error concealment techniques, International Conference of Computational Harmonic Analysis, City University of Hong Kong, June 4-8, 2001.
  38. Judith A. Packer, Wavelet filter functions and K-Theory, Mathematical Sciences Research Institute Workshop on Quantization and Non-commutative Geometry, held April 23 - 27, 2001, Berkeley, CA, USA.
  39. Judith A. Packer, A Hilbert module approach to wavelet theory, Norwegian Centre for Advanced Study Workshop on Operator Algebras and Applications, held at the Centre for Advanced Study at the Norwegian Academy of Science and Letters, Oslo, Norway, November 5-7, 2001.
  40. Lawton, W., The inverse equation for Euler's equation on Lie groups, Singapore International Symposium on Topology and Geometry, National University of Singapore, Singapore, July 2-6, 2001.
  41. Lawton, W.,Global analysis of wavelet methods for Euler's equation, International Conference on Optimization of Finite-Element Approximation, Splines and Wavelets, St. Petersburg, Russia, June 25-29, 2001.
  42. Goh, S. S., On matrix extension for constructing biorthogonal periodic multiwavelets, Invited lecture at the International Conference of Computational Harmonic Analysis, Hong Kong, 4-8 June 2001.
  43. Tang, W. S., Biorthogonal Riesz bases and wavelets in Hilbert spaces, in Concentration Week on Functional and Harmonic Analysis of Wavelets and Frames, Texas A&M University, USA, 14-17 July, 1999.
  44. Tang, W. S., Oblique multiwavelets in Hilbert spaces, in 28th Canadian Annual Symposium on Operator Algebras, Fields Institute, Toronto, Canada, 4-8 June 2000.
  45. Tang, W. S., Biorthogonality and multiwavelets in Hilbert spaces, in SPIE 45th Annual Meeting, Technical Conference: Wavelet Applications in Signal and Image Processing VIII, San Diego, USA, 30 July - 4 August 2000.
  46. S. L. Lee, Wavelets, a tool for efficient data representation, Invited lecture at the Conference on Perspectives of Mathematical Research in China for the 21st Century, Chinese University of Hong Kong, May 2001.
  47. S. L. Lee, Spectrum of convolution-dilation operators on weighted L^P spaces, Plenary Speaker, International Conference on Computational Harmonic Analysis, City University of Hong Kong, June 2001.