Publications

Publications

• Mathematical Foundations of Computed Tomography
  (with K. T. Smith), Applied Optics vol. 24 no. 23 (1985), 3950-3957, https://doi.org/0.1364/AO.24.003950

• A Nonlinear Two-Phase Stefan Problem with Melting Point Gradient: A Constructive Approach
  (with D. D. Ang, F. Stenger), J. Comput. Appl. Math., vol. 23 no. 2 (1988), p. 245-255, https://doi.org/10.1016/0377-0427(88)90283-X

• Viscoplastic Flow due to Penetration: A Free Boundary Value Problem
  (with D. D. Ang, E. S. Folias, F. Stenger), Intern. J. Fracture, vol. 39 no. 1-3 (1989), p. 121-127. Reprinted in Structural Integrity, E. S. Folias, ed., Kluwer, 1989, https://doi.org/10.1007/BF00047445.

• Inversion of k-Plane Transforms and Applications in Computerized Tomography
  SIAM Review, vol. 31 no. 2 (1989), p. 273-298, https://doi.org/10.1137/1031051.

• Local and Global Tomography
  (with A. Faridani, F. Natterer, E. L. Ritman, K. T. Smith), in Signal Processing Part II: Control Theory and Applications, IMA Volumes in Mathematics and its Applications vol. 23, p. 241-255, Springer, New York, 1990, http://dl.acm.org/citation.cfm?id=113939.113950.

• Uniform Approximation to |x|^β by Sinc Functions
  J. Approx. Theory, vol. 66 no. 1 (1991), p. 44-52, https://doi.org/10.1016/0021-9045(91)90054-E.

• Penetration Mechanics: Predicting the Location of a Viscoplastic Boundary and its Effect on the Stresses
  (with D. D. Ang, T. Folias), Int. J. Solids Structures vol. 28 no. 1 (1991), p. 115-129, https://doi.org/10.1016/0020-7683(91)90051-G.

• Biorthogonal Wavelets for Fast Matrix Computations
  Applied and Computational Harmonic Analysis, vol. 1 no. 2 (1994), p. 147-156, https://doi.org/10.1006/acha.1994.1002.

• Numerical Stability of Biorthogonal Wavelets
  Advances in Computational Mathematics vol. 4, no. 1-2 (1995), p. 1-26, https://doi.org/10.1007/BF02123471

• High Accuracy Reconstruction from Wavelet Coefficients
  (with S. G. Kwon) Applied and Computational Harmonic Analysis vol. 4, no. 3 (1997), p. 293-316, https://doi.org/10.1006/acha.1997.0213

• Raising Multiwavelet Approximation Order Through Lifting
  SIAM J. Math. Anal. vol. 32, no. 5 (2001), p. 1032-1049, https://doi.org/10.1137/S0036141098349509

• Wavelet Analysis of Event Related Potentials for Early Diagnosis of Alzheimer's Disease
  (with R. Polikar, M. H. Greer) in Wavelet Applications: From Theory to Practice, A. Petrosian (ed.), Kluwer (2001), p. 453-478

• Wavelets and Multiwavelets (book)
  Studies in Advanced Mathematics, vol. 42, 288 p., Chapman Hall/CRC Press, Boca Raton, FL, 2003, https://doi.org/10.1142/S0219691307001860

• Discrete Mathematics on the Web: Learner-Centered Course Redesign to Enhance Student Performance and Reduce Costs
  (with T. Love, M. Shelley) Journal of STEM Education vol. 7, no. 3/4, Jul-Dec 2006, p. 25-35.

• Completion of Multivariate Wavelets
  (with G. Bhatt) Internat. J. of Wavelets, Multiresolution and Information Processing, vol. 5, no.3 (2007), p. 485-500, https://doi.org/10.1142/S0219691307001860.

• Multiwavelets
  Invited contribution to Encyclopedia of Complexity and Systems Science, Springer, 2009, https://doi.org/10.1007/978-0-387-30440-3_346.

• Parametrization of Multiwavelet Atoms
  J. of Wavelet Theory and Applications, vol. 3, no. 1 (2009), p. 49-72.

• Regularity of Boundary Multiwavelets
  (with A. Altürk), Applied and Computational Harmonic Analysis vol. 32, no. 1 (2012), p. 65-85, https://doi.org/10.1016/j.acha.2011.03.003

• Construction of Multiwavelets on an Interval
  (with A. Altürk), Axioms, vol. 2 no. 2 (2013), p. 122-141, https://doi.org/10.3390/axioms2020122.

• Regularity and Construction of Boundary Multiwavelets
  Poincaré Journal of Analysis and Applications, Special Issue on Wavelets, Frames and Applications II, vol. 2015 no. 2, p. 1-12.

• Point Values and Normalization of Two-Direction Multiwavelets and Their Derivatives
  (with S. G. Kwon), Kyungpook Mathematical Journal, vol. 55 no. 4 (Dec 2015), pp. 1053-1067,
  https://doi.org/10.5666/KMJ.2015.55.4.1053.

• Matrix Spectral Factorization for SA4 Multiwavelet
  (with V. Kolev, T. Cooklev), to be published in Multidimensional Systems and Signal Processing, 2017,
  https://doi.org/10.1007/s11045-017-0520-x.