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Dr. David W. RoachAssociate Professor Department of Mathematics and Statistics Murray State University
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Courses Spring 2007 Mat140-College Algebra Mat145-Trigonometry Mat442-Numerical Analysis ResearchWavelet Analysis Matlab Files for Compression Comparison Publications
Roach, D. W., and R. Robinson, “Knot removal using the bounding tension spline”, Advances in Constructive Approximation, M. Neamtu and E. B. Saff (eds.), Nashboro Press, pp. 467-476, 2004. Roach, D. W., D. Gibson, and K. Weber, “Why is the square root of 25 not equal to plus or minus five?”, Math ematics Teacher, Vol. 97-1, pp 12-13, Jan 2004. Lai, M.J. and D. W. Roach, “Parameterizations of univariate orthogonal wavelets with short support”, Approximation Theory X , pp. 369—384, Innovations in Applied Math ematics, Vanderbilt Univ. Press , 2002. Lai, M.J. and D. W. Roach, “The nonexistence of bivariate symmetric wavelets with two vanishing moments and short support”, Trends in Approximation Theory, pp. 213-223, Innovations in Applied Math ematics, Vanderbilt Univ. Press, 2001. Christion, M. A., and D. W. Roach, “The numerical performance of Wavelets for PDE’s: The multi-scale Finite Element”, Computational Mechanics , v. 25(23), pp. 230-244, March 2000. Hardin, D. P., and D. W. Roach, “Multiwavelet Prefilters I: Orthogonal prefilters preserving approximation order p<2, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing , vol. 45-8, pp. 1106-1112, August 1998. Hereford J., D. W. Roach, and R. Pigford, “Image compression using parameterized wavelets with feedback”, Independent Component Analyses, Wavelets, and Neural Networks , A. Bell, M. Vickerhauser, H. Szu, Editors, Proceedings of SPIE, Vol. 5102, pp. 267-277, 2003. Roach, D. W., “Orthogonal approximation order preserving prefilters for multiwavelets”, Wavelets: Application in Signal and Image Processing IX, Andrew F. Laine, Michael A. Unser, Akram Aldroubi, Editors, Proceedings of SPIE Vol. 4478 (2001) pp. 242-253. Lai, M. J. and D. W. Roach, “Nonseparable symmetric wavelets with short support”, Wavelet Applications in Signal and Image Processing VII, Proceedings of SPIE, pp. 132-146, July 1999. Christon, M. A., and D. W. Roach, T.E. Voth, “The numerical performance of wavelets and reproducing kernels for PDE’s”, Proceedings of the International Conference on Computational Engineering Science, 6 pp., October 1998. Christon, M. A., R. S. Baty, S. P. Burns, D. W. Roach, T. G. Trucano, T. E. Voth, J. R. Weatherby, and D. Womble, “An investigation of wavelet bases for grid-based multi-scale simulations-Final Report”, Technical Report SAND98-2456, Sandia National Laboratories, Albuquerque, New Mexico, 142 pp., September 1998. Hardin D. P., and D. W. Roach, “Semi-orthogonal wavelets for elliptic variational problems”, Proceedings of the Tangier 98 International Wavelet Conference on Multi-scale Methods, INRIA, 6 pp., April 1998.
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