Professional Interests: Applied mathematician with research interests in Wavelet Analysis and its Applications, Computer-Aided Geometric Design, Signal & Image Processing, Approximation Theory, Computational Mathematics.
Professional Activities: American Mathematical Society (AMS) Institute of Electrical and Electronics Engineers (IEEE)
Selected Recent Publications:
Armlets and balanced multiwavelets: Flipping filter construction, IEEE Transaction in Signal Processing, Vol. 53, no. 5, 2005, 1754—1767.
On bivariate scaling functions and wavelets, in: Wavelets and Splines: Athens 2005, Guanrong Chen and Ming-Jun Lai (eds.), Nashboro Press, Brentwood, TN, 2006, 328—345.
Construction of orthonormal multi-wavelets with additional vanishing moments, (with C. K. Chui), Advances Comput. Math. Volume 24, 2006, 239—262.
Analysis-ready multi-wavelets (Armlets) for processing scalar-valued signals, (with C. K. Chui), IEEE Signal Processing Letters, Volume 11, Number 2, 2004, 205—208.
Balanced multi-wavelets with short filters, (with C. K. Chui), IEEE Signal Processing Letters, Volume 11, Number 2, 2004, 75—78.
Jian-aoLian Professor, Department of Mathematics Prairie View A&M University P. O. Box 519-MS 2225 Prairie View, TX 77446-0519 936-261-1981 (office) 936-261-2088 (fax) email: jilian@pvamu.edu