Homepage of S. L. Lee



Curriculum Vitae

Name: LEE Seng Luan

Designation: Professor

Postal Address: Department of Mathematics

National University of Singapore

2 Science Drive 2

Singapore 117543

Email address: matleesl@nus.edu.sg




University of Malaya, Kuala Lumpur, B.Sc. (Hons) (1969)

University of Alberta, Canada, Ph.D. (1974)


Employment Record:

University of Science of Malaysia, Penang, 1974 - 1987

National University of Singapore, since 1987


Research Interests:

Splines, Geometric Modelling, Wavelets, Approximation, Information Processing


Awards and Honours:

State Scholarship (1965 1969); Canadian Commonwealth Scholarship (1971 1974); CNRS Fellowship, INRIA, France (1980); Singapore National Science Award (1998).


Professional Activities:

Chairman of the Organising Committee, Wavelets Workshop, Singapore, 1994; Member of Scientific Committee, Guangzhou International Symposium on Computational Mathematics, China, 1997; Member of Scientific Committee, Asian Mathematical Conference 2000, Manila; Member of Programme Committee, The Second International Conference on Wavelets Analysis and Its Applications, Hong Kong, December 2001; President, Singapore Mathematical Society, 1998 2001; Editor, Mathematical Medley, a publication of the Singapore Mathematical Society, 1991 1992; Editor, Advances in Computational Mathematics, 1992 2000; Editor, International Journal of Wavelets, Multiresolution and Information Processing; Managing Editor, COSMOS, the Journal of Singapore National Academy of Science; Member of Steering Committee of the Wavelet Digest, from 1/1/03.


Invited Speaker:

First Franco-SEA Conference, Singapore, 1979; International Workshop on Multivariate Approximation and Interpolation, Duisburg, Germany, 1989; International Conference on Advances in Computational Mathematics, New Delhi, India, 1993 (Plenary Speaker); International Conference on Computer Aided Geometric Design, Penang, Malaysia, 1994; Fourth International Conference on Mathematical Methods on Curve and Surfaces, Lillehammer, Norway, 1997 (Plenary Speaker); Guangzhou International Symposium on Computational Mathematics, China, 1997 (Plenary Speaker); International Congress of Chinese Mathematicians, Beijing, China, December 1998; Surface Approximation and Visualization, Christchurch, New Zealand, February 1999; Second International Workshop on Transforms and Filter banks, Brandenburg, Germany, March 1999; International Conference on Wavelet Analysis and its Applications, Guangzhou, China, November 1999 (Plenary Speaker); Mathematical Foundation of Informatics, Hanoi, Vietnam, October 1999; International Conference on Fundamental Sciences: Mathematics and Theoretical Physics, Singapore, March 2000; International Conference on Computational Harmonic Analysis, Hong Kong, June 2001 (Plenary Speaker); International Congress of Chinese Mathematicians, Taipei, December 2001; International Conference on Approximation and Differential Equations, Hanoi, December 2001; International Conference on Wavelets and their Applications, Chennai, India, January 2002; Surface Approximation and Visualization 2002, Westport, New Zealand, February 2002; First International Conference on Nonlinear Analysis and Mechanics of Continuous Media, HoChiMinh City, Vietnam, January 2003; Malaysian Science and Technology Congress, Kuala Lumpur September 2003 (Keynote Speaker); Computer Graphics, Imaging and Visualization 2004 (CGIV04), Penang, July 2004 (Plenary Speaker); Approximation and Harmonic Analysis, Auckland, New Zealand, February 2005; Malaysian Science and Technology Congress, Kuala Lumpur, April 2005 (Plenary Speaker); International Conference on Applicable Harmonic Analysis, Hangzhou, China, May 2005.


Research/ Post-doctoral Fellows:

Jiang Qingtang (1995 1999); Wang Yuping (1996 1999); Sun Qiyu (1998 2002)


Ph.D. Students:

Ahmad MAJID, University of Science of Malaysia Penang; Rohaisan OSMAN University of Science of Malaysia, Penang; THAM Jo Yew, National University of Singapore; Gao Xiaojie, National University of Singapore



Selected Publications


1.     Lee SL, B-splines for cardinal Hermite interpolation, Linear Algebra and its Applic. 12(1975), 269 280.

2.     Lee S L, Fourier transforms for B-splines and fundamental splines for cardinal Hermite interpolation, Proc. Amer. Math. Soc. 57(1976), 291 296.

3.     Lee S L, Ahmad A Majid, Closed smooth piecewise bicubic surfaces. ACM Transactions on Graphics, 10 (1991), 342-365.

4.     Goodman TNT, Lee SL, Tang WS, Wavelets in wandering subspaces, Trans. Amer. Math. Soc. 338 (2) (1993), 639-654.

5.     Goodman TNT, Lee SL, Wavelets of multiplicity r, Trans. Amer. Math. Soc. 342 (1) (1994), 307 - 324.

6.     Koh YW, Lee SL, Tan HH, Periodic orthogonal splines and wavelets, Applied and Computational Harmonic Analysis, 2 (3): 201-218 JUL 1995.

7.     Lawton W, Lee SL, Shen ZW, Stability and orthonormality of multivariate refinable functions, SIAM J. Math Anal 28 (4) (1997), 999-1014.

8.     Jia RQ, Lee SL, Sharma A, Spectral properties of continuous refinement operators
Proc. Amer. Math. Soc. 126 (3): 729-737 MAR 1998.

9.     Wang YP, Lee SL, Scale-space derived from B-splines, IEEE Trans Pattern Anal 20 (10): 1040-1055 Oct 1998.

10.  Goh SS, Lee SL, Teo KM, Multidimensional periodic multiwavelets, J. Approx. Theory, 98 (1): 72-103, May 1999.

11.  Goodman TNT, Lee SL, Convergence of nonstationary cascade algorithms, Numerische Mathematik, 84 (1): 1-33, Nov 1999.

12.  Tham JY, Shen LX, Lee SL, et al., A general approach for analysis and application of discrete multiwavelet transforms, IEEE Trans. on signal processing, 48 (2): 457-464 Feb 2000.

13.  Jia RQ, Jiang QT, Lee SL, Convergence of cascade algorithms in Sobolev spaces and integrals of wavelets, Numerische Mathematik, 91 (3): 453-473 May 2002.

14.  Chen HY Louis, Goodman TNT, Lee SL, Asymptotic normality of refinable functions, SIAM J. Math. Analysis 36(1) (2004), 323 346.