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  1. Monographs:

    1. Kalman Filtering with Real-Time Applications (with G. Chen), Springer Series in Information Sciences #17, Springer–Verlag, 1987, 2nd Edition, 1991, 3rd Edition, 1997.

    2. Linear Systems and Optimal Control (with G. Chen), Springer Series in Information Sciences # 18, Springer–Verlag, 1988.

    3. Multivariate Splines, CBMS-NSF Series in Applied Mathematics #54, SIAM, Philadelphia, 1988, 189 pp. + vi.

      1. Japanese Translation of Multivariate Splines, by A. Sakurai, Tokyo Denki University Press, 1991.


      2. Chinese Translation of Multivariate Splines, by C.Z. Cheng, Xian Jaotong University Press, 1991.

    4. Signal Processing and Systems Theory, Selected Topics (with G. Chen). Springer Series in Information Sciences #26, Springer–Verlag, 1992, 267 pp. + xi.

      1. Discrete H optimization (with G. Chen). 2nd Edition of Springer Information Sciences #26, Springer-Verlag, 1997.

    5. An Introduction to Wavelets, Academic Press, Boston, 1992, 264 pp. + x.

      1. Japanese Translation of An Introduction to Wavelets, by A. Sakurai and T. Arai, Tokyo Denki University Press, 1993, 294 pp. + vi.


      2. Chinese Translation of An Introduction to Wavelets, by C.Z. Cheng, Xian Jaotong University Press, 1994, 367pp. + vi.


      3. Russian Translation of An Introduction to Wavelets, by Ya. M. Zhileikin, Mir Publishers, 2001.

    6. Wavelets: A Mathematical Tool for Signal Analysis, SIAM, Philadelphia, 1997, 210pp. + xviii.

    7. Wavelets Methods, Japanese expanded version of Wavelets: A Mathematical Tool for Signal Analysis, (authored by C. K. Chui and translated by A. Sakurai), Tokyo DenkiUniversity Press, 1997, 241pp. + vii.


  2. Edited Book Volumes:

    1. Approximation Theory II, edited by G.G. Lorentz, C.K. Chui, and L.L. Schumaker, Academic Press, N.Y., 1976. 558 pp. + xi.

    2. Approximation Theory IV, edited by C.K. Chui, L.L. Schumaker, and J.D. Ward, Academic Press, N.Y., 1983, 785 pp. + xvii.

    3. Approximation Theory V, C.K. Chui, L.L. Schumaker, and J.D.Ward, Academic Press, N.Y., 1986, 654 pp. + xviii.

    4. Topics in Multivariate Approximation, edited by C.K. Chui, L.L. Schumaker, and F. Utreras, Academic Press, N.Y., 1987, 335 pp. + x.

    5. Approximation Theory VI: Volume I, C.K. Chui, L.L. Schumaker, and J.D. Ward, Academic Press, N.Y., 1989, 1-340 pp. + xxv.

    6. Approximation Theory VI: Volume II, edited by C.K. Chui, L.L. Schumaker, and J.D. Ward, Academic Press, N.Y., 1989, 341-692 pp. + xxiv.

    7. Multivariate Approximation Theory IV, edited by C.K. Chui, W. Schempp, and K. Zeller, Birkhäuser, Basel, 1989, 342 pp. + ix.

    8. Approximation Theory and Functional Analysis, edited by C.K. Chui, Academic Press, N.Y., 1991, 247 pp. + x.

    9. Wavelets: A Tutorial in Theory and Applications, edited by C.K. Chui, Academic Press, Boston, 1992, 724 pp. + x.

    10. Approximation Theory VII, edited by E.W. Cheney, C.K. Chui, and L.L. Schumaker, Academic Press, Boston, 1992, 247pp. + xix.

    11. Wavelets: Theory, Algorithms, and Applications, edited by C.K. Chui, Laura Montefusco, and Luigia Puccio, Academic Press, Boston, 1994, 628pp. + x.

    12. Approximation Theory VIII, Vol. 1 - Approximation and Interpolation, edited by C.K. Chui and L.L. Schumaker, World Science, Singapore, 1995, 570 + xxxi.

    13. Approximation Theory VIII, Vol. 2 - Wavelets and Multilevel Approximation, edited by C.K. Chui and L.L. Schumaker, World Science, Singapore, 1995, 422 + xxix.

    14. Approximation Theory IX, Vol. 1 - Theoretical Aspect, edited by C.K. Chui and L.L. Schumaker, Vanderbilt University Press, 1999, 354pp. + xvii.

    15. Approximation Theory IX, Vol. 2 - Computational Aspect, edited by C.K. Chui and L.L. Schumaker, Vanderbilt University Press, 1999, 392pp. + xvii.

    16. Approximation Theory X - Abstract and Classical Analysis, edited by C.K. Chui, L.L. Schumaker, and J. Stöckler, Vanderbilt University Press, 2002, 402pp. + xiv.

    17. Approximation Theory X - Wavelets, Splines, and Applications, edited by C.K. Chui, L.L. Schumaker, and J. Stöckler, Vanderbilt University Press, 2002, 483pp. +xv.

    18. Approximation Theory XI, edited by C.K. Chui, L.L. Schumaker, and M. Neamtu, Nashboro Press, 2004, 451pp. +viii.

  3. Papers on Analysis and Approximation Theory:

    1. Bounded approximation by polynomials with restricted zeros, Bull. Amer. Math. Soc. 73 (1967), 967–972; and Trans. Amer. Math. Soc. 138 (1968), 171–182.

    2. Potentials of families of unit masses on disjoint Jordan curves (with J. Korevaar), in Abstract Spaces and Approximation, P.L. Butzer and B. Sz-Nagy (eds.), ISBM 10 (1969), Basel, pp. 338–350.
    3. C-polynomial approximation of Hp and functions, J. Math. Anal. Appl., 34 (1971), 82–85.

    4. Approximation by overconvergence of a power series (with M.N. Parnes), J. Math. Anal. Appl., 36 (1971), 693–696.

    5. Polynomial approximation and distribution of electrons, J. Approx. Theory, 7 (1973), 355–365.

    6. A representation formula for harmonic functions (with C.H. Ching), Proc. Amer. Math. Soc., 39 (1973), 349–352.

    7. On approximation in the Bers spaces, Proc. Amer. Math. Soc., 40 (1973), 438–443.

    8. Recapturing a holomorphic function on an annulus from its mean boundary values (with C.H. Ching), Proc. Amer. Math. Soc., 41 (1973), 120–126.

    9. Convergence of certain quadrature processes, Aeq. Math., 9 (1973), 242–244.

    10. Uniqueness theorems determined by function values at the roots of unity (with C.H. Ching), J. Approx. Theory, 9 (1973), 267–271.

    11. Analytic functions characterized by their means on an arc (with C.H. Ching), Trans. Amer. Math. Soc., 186 (1973), 175–183.

    12. Mean boundary value problems and Riemann series (with C.H. Ching), J. Approx. Theory, 10 (1974), 324–336.

    13. Delange's characterization of the sine function (with C.H. Ching), Glasgow Math. Journal, 15 (1974), 66–68.

    14. Limit set of power series outside the circles of convergence (with M.N. Parnes), Pacific J. Math., 50 (1974), 403–423.

    15. On Hm, ∞-splines (with P.W. Smith), SIAM J. Numer. Anal., 11 (1974), 554–558.

    16. Characterization of a function by certain series it generates (with P.W. Smith), Pacific J. Mathematics, 53 (1974), 363–371.

    17. Some nonlinear spline approximation problems related to N-widths (with P.W. Smith), J. Approx. Theory, 13 (1975), 421–430.

    18. Unique best nonlinear approximation in Hilbert spaces (with P.W. Smith), Proc. Amer. Math. Soc., 49 (1975), 66–70.

    19. Limits of Hk,p-splines (with P.W. Smith and J.D. Ward), Bull. Amer. Math. Soc., 81 (1975), 563–565.

    20. Padé approximation of Stieltjes series (with G. Allen, V. Madych, F. Narcowich, and P.W. Smith), J. Approx. Theory, 14 (1975), 302–316.

    21. A note on Landau's problem for bounded intervals (with P.W. Smith), Amer. Math. Monthly, 82 (1975), 927–929.

    22. Approximation with restricted spectra (with P.W. Smith and J. D. Ward), Math. Zeitschrift, 144 (1975), 289–297.

    23. Recent results on Padé approximants and related problems, in Approximation Theory II, Academic press, New York, 1976, pp. 79–118.

    24. Simultaneous spline approximation and interpolation preserving norms (with E.R. Rozema, P.W. Smith, and J.D. Ward), in Proc. Amer. Math. Soc., 54, (1976), 98–100.

    25. Preferred NBV-splines (with P.W. Smith and J.D. Ward), J. Math. Anal. and Appl., 55, (1976), 18–31.

    26. Metric curvature, folding, and unique best approximation (with E.R. Rozema, P.W. Smith, and J.D. Ward), SIAM J. Math. Analysis, 7, (1976), 436–449.

    27. Quasi-uniqueness in L extremal problems (with P.W. Smith and J.D. Ward), J. Approx. Theory, 18, (1976), 213–219.

    28. Favard's solution is the limit of Wk,p-splines (with P.W. Smith and J.D. Ward), Trans. Amer. Math. Soc., 220, (1976), 299–306.

    29. A note on Riesz operators (with P.W. Smith and J.D. Ward), Proc. Amer. Math. Soc., 60, (1976), 92–94.

    30. On the smoothness of best L2 approximants from nonlinear spline manifolds (with P.W. Smith and J.D. Ward), Math. of Comp., 31, (1977), 17–23.

    31. L-Ideals and numerical range preservation (with P.W. Smith, R. Smith, and J.D. Ward), Illinois J. Math., 21, (1977), 365–373.

    32. On a question of Olsen concerning compact pertubations of operators (with D. Legg, P.W. Smith, and J.D. Ward),, Michigan Math. J., 24, (1977), 119–127.

    33. Best uniform approximation from a collection of subspaces (with I. Borosh and P.W. Smith), Math. Zeitschrift, 156, (1977), 13–18.

    34. Unicity of best L2 approximation by second order splines with variable knots (with D. Barrow, P.W. Smith, and J.D. Ward), Bull. Amer. Soc., 83, (1977), 1049–1050; and Math. of Comp., 32 (1978), 1131–1143.

    35. A two-dimensional mean problem (with G. Blakley and I. Borosh), J. Approx. Theory, 22, (1978), 11–26.

    36. Best L2 local approximation (with P.W. Smith and J.D. Ward), J. Approx. Theory, 22, (1978), 254–261.

    37. On changes of signs in infinite series (with I. Borosh and P. Erdös), Analysis Mathematics, 4, (1978), 3–12.

    38. On approximation of xN by incomplete polynomials (with I. Borosh and P.W. Smith), J. Approx. Theory, 24, (1978), 227–235.

    39. Uniqueness of solutions of a two-dimensional mean problem (with I. Borosh), J. Approx. Theory, 23, (1978), 201–203.

    40. Characterization of functions by their Gauss--Chebshev quadratures (with I. Borosh), SIAM J. Math. Analysis, 10, (1979), 532–541.

    41. Approximation by minimum-norm interpolants in the disc algebra (with P.W. Smith and J.D. Ward), J. Approx. Theory, 27, (1979), 291–295.

    42. An application of spline approximation with variable knots to optimal estimation of the derivative (with P.W. Smith), SIAM J. Math. Analysis, 11, (1980), 724–736.

    43. Degree of Lp approximation by monotone splines (with P.W. Smith and J.D. Ward), SIAM J. Math. Analysis, 11, (1980), 436–447.

    44. An interpolation formula for harmonic functions on the set of integers (with G. Roberts), J. Approx. Theory, 29, (1980), 144–150.

    45. Approximation by double least-squares inverses, J. Math. Anal. Appl., 75, (1980), 149–163.

    46. Monotone approximation by spline functions (with P. W. Smith and J. D. Ward), in Quantitiative Approximation, R. DeVore and K. Scherer (eds.), Academic Press, N.Y., 1980, pp. 81–98.

    47. Best multi-point local approximation (with R. Beatson), in Functional Analysis and Approximation, P. L. Butzer, B.-Sz. Nagy, E. Görlich (eds.), ISNM 60 (1981), 283–296.

    48. Degree of best inverse approximation by polynomials (with R. Beatson and M. Hasson), Illinois J. Math., 26, (1982), 173–180.

    49. Cholesky factorization of positive definite bi-infinite matrices (with P.W. Smith and J.D. Ward), J. Num. Functional Anlaysis and Optimization, 5, (1982), 1–20.

    50. Degree of uniform approximation on disjoint intervals (with M. Hasson), Pacific J. of Math., 105, (1983), 291–297.

    51. Best local approximation in several variables (with H. Diamond and L.A. Raphael), J. Approx. Theory, 40, (1984), 343–350.

    52. On best data approximation (with H. Diamond and L.A. Raphael), J. Approx. Theory and Its Appl., 1, (1984), 37–56.

    53. Order of approximation of electrostatic fields due to electrons (with X.C. Shen), Constr. Approx., 1, (1985), 121–135.

    54. Vandermonde determinants and Lagrange interpolations in Rs (with M.J. Lai), Nonlinear and Convex Analysis, B.L. Lin and S. Simons (eds.), Marcel Dekker, N.Y., 1987, 23–35.

    55. Approximation and expansions, Ency. of Phy. Sc. and Tech., 1, (1987), 661–687; revised and updated version in Second Edition of Ency. of Phy. Sc. and Tech., 2000.

    56. Characterization of weights in best rational weighted approximation of piecewise smooth functions (with X.L. Shi), J. Approx. Theory, 54, (1988), 180–195.

    57. Characterization of weights in best rational weighted approximation of piecewise smooth functions, II (with X.L. Shi), J. Approx. Theory, 54, (1988), 196–209.

    58. On a general class of multivariate linear smoothing operators (with T.X. He and L.C. Hsu), J. Approx. Theory, 55, (1988), 35–48.

    59. On completeness of the system {(1 - αi z)-α-1} in AP(φ) (with X.C. Shen), Approx. Theory and Its Appl., 4, (1988), 1–8.

    60. Asymptotic properties of positive summation-integral operators (with T.X. He and L.C. Hsu), J. Approx. Theory, 55, (1988), 49–60.

    61. Construction of real-time spline quasi-interpolation schemes (with G. Chen and M.J. Lai), Approx. Theory and Its Appl., 4, (1988), 61–75.

    62. Constrained best approximation in Hilbert space (with F. Deutsch and J.D. Ward), Constr. Approx., 6 (1990), 35–64.

    63. On Hermite-Fejér interpolation in a Jordan domain (with X.C. Shen), Trans. Amer. Math. Soc., 323 (1991), 93–109.

    64. On the convergence rate of s-numbers of compact Hankel operators (with X. Li and J.D. Ward), Circuits, Systems, and Signal Processing, 11 (2) (1992), 353–362.

    65. Constrained best approximation in Hilbert space, II (with F. Deutsch and J.D. Ward), J. Approx. Theory, 71, (1992), 213–238.

    66. Rate of convergence of Schmidt pairs and rational functions corresponding to best approximants of truncated Hankel operators (with X. Li and J. D. Ward), Math of Control, Signals, and Systems, 5 (1992), 67–79.

    67. Cardinal interpolation with differences of tempered functions (with K. Jetter and J.D. Ward), Computers Math. Appl., 24 (12) (1992), 35–48.

    68. A Faber series approach to cardinal interpolation (with J. Stöckler and J.D. Ward), Math. Comp., 58, (1992), 255–273.

    69. On multivariate robust stability (with H.N. Mhaskar), SIAM J. Contr. and Optimization, 30 (5) (1992), 1190–1199.

    70. Approximation by ridge functions and neural networks with one hidden layer (with X. Li), J. Approx. Theory, 70, (1992), 131–141.

    71. On a generalized Euler spline and its applications to the study of convergence in cardinal interpolation and solutions of certain extremal problems (with H. Chen), Acta Math. Hung., 61 (1993), 221–233.

    72. On Lagrange interpolation at disturbed roots of unity (with X.C. Shen and L. Zhong), Trans. Amer. Math. Soc., 336 (2) (1993), 817–830.

    73. On Lagrange polynomial quasi-interpolation (with X.C. Shen and L. Zhong), in Topics in Polynomials of One and Several Variables and Their Applications, Th. M. Rassias, H.M. Srivastava, and A. Yanushauskas (eds.), World Scientific, Singapore, 1993, pp. 125–141.

    74. A note on the local stability of translates of radial basis functions (with M.D. Buhmann), J. Approx. Theory, 74 (1993), 36–40.

    75. Quasi-interpolation functionals on spline spaces (with J.Z. Wang), J. Approx. Theory, 76 (3) (1994), 303–325.

    76. On the degree of multivariate Bernstein polynomial operators (with D. Hong and S.T. Wu), J. Approx. Theory, 78 (1) (1994), 77–86.

    77. Continuity of best Hankel approximation and its application to systems reduction (with X. Li), SIAM J. Contr. and Optimization, 32 (6) (1994), 1769–1781.

    78. Neural networks for localized approximation (with X. Li and H.N. Mhaskar), Math. Comp., 63(208) (1994), 607–623.

    79. Bivariate interpolatory rational splines (with T.X. He), Numer. Algorithms, 9, (1995), 277–292.

    80. Constrained best approximation in Hilbert space, III: Applications to n-convex functions (with F. Deutsch, V. A. Ubhaya, J.D. Ward, and Y.S. Xu), Constr. Approx., 12, (1996), 361–384.

    81. Limitations of the approximation capabilities of neural networks with one hidden layer (with X. Li and H.N. Mhaskar), Adv. in Comp. Math., 5 (1996), 233–244.

    82. Polynomial interpolation and Marcinkiewicz-Zygmund inequalities on the unit circle (with L. Zhong), J. Math. Anal. and Appl., 233 (1999), 387–405.


  4. Papers on Multivariate Splines and Surface Subdivisions:

    1. On spaces of piecewise polynomials with boundary conditions, I: Rectangles (with L.L. Schumaker), in Multivariate Approximation II, ISNM 61, Birkhaüser, 1982, pp.69–80.

    2. Multivariate B-splines on triangulated rectangles (with R.H. Wang), J. Math. Anal. Appl., 92 (1983), 533–551.

    3. On smooth multivariate spline functions (with R.H. Wang), Math. of Comp., 41 (1983), 131–142.

    4. Multivariate spline spaces (with R.H. Wang), J. Math. Anal. Appl., 94 (1983), 197–221.

    5. On spaces of piecewise polynomials with boundary conditions, II: Type-1 triangulation (with L.L. Schumaker and R.H. Wang), in CMS Conf. Approx. Theory, 3 (1983), 51–66.

    6. On spaces of piecewise polynomials with boundary conditions, III: Type-2 triangulation (with L. L. Schumaker and R.H. Wang), in CMS Conf. Approx. Theory, 3 (1983), 67–80.

    7. Bivariate cubic B-splines relative to cross-cut triangulations (with R.H. Wang), Chinese Annals of Math., 4 (1984), 509–523.

    8. On a bivariate B-spline basis (with R.H. Wang), Scientia Sinica, 27 (1984), 1129–1142.

    9. Spaces of bivariate cubic and quartic splines on type-1 triangulations (with R.H. Wang), J. Math. Anal. Appl., 101 (1984), 540–554.

    10. Concerning C1 B-splines on triangulations of non-uniform rectangular partitions (with R.H. Wang), Approx. Theory and Its Appl., 1 (1984), 11–18.

    11. On bivariate vertex splines (with M.J. Lai), Multivariate Approx. Theory III,W. Schempp and K. Zeller (eds.), ISNM 75, Birkhäuser, 1985, pp. 84–115.

    12. Interpolation by bivariate linear splines (with T.X. He and R.H. Wang), in Proc. Conf. in Memory of Haar, J. Szabados (ed.), North–Holland Pub., 1986, 247–255.

    13. Computation of box splines and B-splines on triangulations of nonuniform rectangular partitions (with M.J. Lai), Approx.\ Theory and Its Appl., 3 (1987), 37–62.

    14. The C2 quartic spline space on a four-directional mesh (with T.X. He and R.H. Wang), Approx. Theory and Its Appl., 3 (1987), 32–36.

    15. Cardinal interpolation by multivariate splines (with K. Jetter and J.D. Ward), Math. of Comp., 48 (1987), 711–724.

    16. A multivariate analog of Marsden's identity and a quasi-interpolation scheme (with M.J. Lai),, Constr. Approx., 3 (1987), 111–122.

    17. A natural formulation of quasi-interpolation by multivariate splines (with H. Diamond), Proc. Amer. Math. Soc., 99 (1987), 643–646.

    18. Interpolation by bivariate quadratic splines on a non-uniform rectangular grid (with H. Diamond and L.A. Raphael), Trans. Fourth Army Conf. on Appl. Math. and Comp., (1987), 1261–1266.

    19. On location of sample points in C1 quadratic bivariate spline interpolation (with T.X. He), in Num. Methods of Approx. Theory, L. Collatz, G. Meinardus, and G. Nürnberger (eds.), Birkhäuser, 1987, 30–42.

    20. On multivariate vertex splines and applications (with M.J. Lai), in Topics in Multivariate Approximation, Academic Press, N.Y.,1987, pp. 19–36.

    21. On minimal and quasi-minimal supported bivariate splines (with T.X. He), J. Approx. Theory, 52 (1988), 217–238.

    22. Convexity-preserving quasi-interpolation and interpolation by box spline surfaces (with H. Diamond and L.A. Raphael), Trans. Fifth Army Conf. on Appl. Math. and Comp., (1988), 301–310.

    23. Interpolation by multivariate splines (with H. Diamond and L.A. Raphael), Math. of Comp., 51 (1988), 203–218.

    24. On the dimension of bivariate super-spline spaces (with T.X. He), Math. of Comp., 53 (1989), 219–234.

    25. Shape-preserving quasi-interpolation and interpolation by box spline surfaces (with H. Diamond and L.A. Raphael), J. Comp. and Appl. Math., 25 (1989), 169–198.

    26. Bivariate cardinal interpolation with a shifted box spline on a three-directional mesh (with J. Stöckler and J. D. Ward), in Approximation Theory VI: Volume I, Academic Press, 1989, pp. 141–144.

    27. Computation of minimal and quasi-minimal supported bivariate splines (with T.X. He), J. Comp. Math., 8 (1990), 108–117.

    28. Bivariate C1 quadratic finite elements and vertex splines (with T.X. He), Math. of Comp., 54 (1990), 169–187.

    29. Multivariate vertex splines and finite elements (with M.J. Lai), J. Approx. Theory, 60 (1990), 245–343.

    30. On bivariate super vertex splines (with M.J. Lai), Constr. Approx., 6(1990), 399–419.

    31. A characterization of multivariate quasi-interpolation formulas and its applications (with H. Diamond), Num. Math., 57(1990), 105–121.

    32. Vertex splines and their applications to interpolation of discrete data, in Computation of Curves and Surfaces, W. Dahmen, M. Gasca, and C.A. Micchelli (eds.), Kluwer Academic Publishers, 1990, pp. 137–181.

    33. Construction and applications of interpolation formulas, in Multivariate Approximation and Interpolation, W. Haussmann and K. Jetter (eds.), ISNM Series in Math., Birkhäuser Verlag Basel, 1990, pp. 11–23.

    34. A general framework for local interpolation (with H. Diamond), Numer. Math., 58 (1991), 596–581.

    35. Invertibility of shifted box spline interpolation operators (with J. Stöckler and J.D. Ward), SIAM J. Math. Anal., 22 (1991), 543–553.

    36. On the convolution of a box spline with a compactly supported distribution: Linear independence for the integer translates (with A. Ron), Can. Math. J., 4 (1) (1990), 19–33.

    37. Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes (with M.J. Lai), Comp. Aided Geom. Design, 8 (1991), 479–493.

    38. Shape-preserving interpolation by bivariate C1 quadratic splines (with H.C. Chui and T.X. He), in Workshop on Computational Geometry, A. Conte, V. Demichelis, F. Fontan-\break ella, and I.Galligani (eds.), World Scientific, Singapore, 1993, 21–76.

    39. Multivariate polynomial natural splines for interpolation of scattered data and other applications (with L.T. Guan), in Workshop on Computational Geometry, A. Conte, V. Demichelis, F. Fontanella, and I. Galligani (eds.), World Scientific, Singapore, 1993, pp. 77–96.

    40. Adding flexibility to piecewise-quadratic curves and surfaces (with D. Levin and N. Gruberger), Comp. Aided Geom. Design, 10 (1993), 469–481.

    41. Singularity of cardinal interpolation with shifted box splines (with J. Stöckler and J.D. Ward), J. Approx. Theory, 74 (2) (1993), 123–151.

    42. Convexity of parametric Bézier surfaces in terms of Gaussian curvature signatures (with Zhengxing Cheng), Adv. in Comp. Math., 2 (1994), 437–459.

    43. Stability of optimal order approximation by bivariate splines over arbitrary triangulation (with D. Hong and R.Q. Jia), Trans. Amer. Math. Soc., 347 (1995), 3301–3318.

    44. Construction of local C1 quartic spline elements for optimal-order approximation (with D. Hong), Math. of Comp., 65 (1996), 85–98.

    45. Swapping edges of arbitrary triangulations to achieve the optimal order of approximation (with D. Hong), SIAM J. Num. Anal., 34 (4) (1997), 1472–1482.

    46. Algorithms for G1 connection of multiple parametric bi-cubic NURBS surfaces (with M.J. Lai and J.A. Lian), J. Numer. Algorithm, 23 (2000), 283–313.

    47. Filling polygonal holes using C1 cubic triangular spline patches (with M.J. Lai), Comp. Aided Geom. Design (CAGD), 17 (2000), 297–307.

    48. Surface subdivision schemes generated by refinable bivariate spline function vectors (with Q.T. Jiang), Appl. and Comp. Harmonic Anal., 15 (2003), 147–162.

    49. Refinable bivariate quartic C2-splines for multi-level data representation and surface display (with Q.T. Jiang), Math. of Comp., 74 (2005), 1369–1390.

    50. Matrix-valued symmetric templates for interpolatory surface subdivisions, I: Regular vertices (with Q.T. Jiang), Appl. and Comp. Harmonic Anal., 19 (2005), 303–339.

    51. Refinable bivariate quartic and quintic C2-splines for quadrilateral subdivision (with Q.T. Jiang), J. Comp. and Appl. Math., 196 (2006), 402–424.

    52. Triangular √7 and quadrilateral √5 subdivision schemes: Regular case (with Q.T. Jiang and R.D. Niang), J. Math. Anal. Appl., accepted.

    53. Matrix-valued subdivision schemes for generating surfaces with extraordinary vertices (with Q.T. Jiang), Comp. Aided Geom. Design, 23 (2006), 419–438.

    54. Fourier transform of Berstein-Bézier polynomials on simplices (with T.X. He and Q.T. Jiang), J. Math. Anal. & Appl., 325 (2007), 294–304.

    55. From extension of Loop's approximation scheme to interpolatory subdivisions (with Q.T. Jiang), Comp. Aided Geom Design, accepted.

    56. Optimal Lagrange interpolation by quartic C1 splines on triangulations (with G. Hecklin, G. Nürnberger, F. Zeilfelder), J. Comp. and Applied Mathematics, accepted.

  5. Papers on Wavelets and Computational Harmonic Analysis:

    1. A cardinal spline approach to wavelets (with J.Z. Wang), Proc. Amer. Math. Soc., 113 (1991), 785–793.

    2. An overview of wavelets, in Approximation Theory and Functional Analysis, Academic Press, New York, 1991, 47–71.

    3. Polynomial expansions for cardinal interpolants and orthonormal wavelets (with J. Stöck-ler and J.D. Ward), in Curves and Surfaces, P. J. Laurent, A. Le Méhauté, and L.L. Schumaker (eds.), Academic Press, 1991, pp. 83–90.

    4. On compactly supported spline-wavelets and a duality principle (with J.Z. Wang), Trans. Amer. Math. Soc. 330 (1992), 903–916.

    5. Wavelets and spline interpolation, in Wavelets, Subdivisions, and Radial Functions, W. Light (ed.), Oxford University Press, Oxford, 1992, 1–35.

    6. A general framework of compactly supported splines and wavelets (with J.Z. Wang), J. Approx. Theory, 71 (3) (1992), 263–304.

    7. Compactly supported box-spline wavelets (with J. Stöckler and J.D. Ward), Approx. Theory and Its Appl. 8 (3) (1992), 77–100.

    8. On cardinal spline-wavelets, in Wavelets and Their Applications, G. Beylkin, R. R. Coifman, I. Daubechies, S. Mallat, Y. Meyer, L. Raphael, and M. Ruskai (eds.), Jones and Bartlett, Boston, 1992, pp. 419–438.

    9. Wavelets and signal analysis, in Approximation Theory VII, Academic Press, Boston, 1992, 19–61.

    10. Wavelets: with emphasis on spline-wavelets and applications to signal analysis, in NATO Advanced Studies Institute, Approximation Theory, Spline Functions, and Applications, S. Singh (ed.), Kluwer Academic Publ., Boston, 1992, pp. 19–39.

    11. Wavelets and multi-scale interpolation (with X.L. Shi), in Mathematical Methods in CAGD II, T. Lyche and L.L. Schumaker (eds.), Academic Press, 1992, 111–133.

    12. Wavelets on a bounded interval (with E. Quak), in Numerical Methods of Approximation Theory, D. Braess and L.L. Schumaker (eds.), Birkhäuser Verlag, Basel, 1992, pp. 57–76.

    13. On wavelet analysis, in Methods of Approximation Theory in Complex Analysis and Mathematical Physics, A. A. Gonchar and E.B. Saff (eds.), Leningrad, 1991, pp. 31–42; and Lecture Notes in Math., 1550, Springer, Berlin, 1993.

    14. An analysis of cardinal spline-wavelets (with J.Z. Wang), J. Approx. Theory, 72 (1) (1993), 54–68.

    15. Computational and algorithmic aspects of cardinal spline-wavelets (with J.Z. Wang), Approx. Theory and Its Appl. 9 (1) (1993), 53–75.

    16. Inequalities of Littlewood-Paley type for frames and wavelets (with X.L. Shi), SIAM J. Math. Analysis, 24 (1) (1993), 263–277.

    17. On a Littlewood-Paley identity and characterization of wavelets (with X.L. Shi), J. Math. Anal. and Its Appl., 177 (1993), 608–626.

    18. On trigonometric wavelets (with H.N. Mhaskar), Constr. Approx., 9 (1993), 167–190.

    19. Characterization of scaling functions and wavelets (with X.L. Shi), Approx. Theory and Its Appl., 9 (3) (1993), 37–52.

    20. Non-orthogonal wavelet packets (with C. Li), SIAM J. Math. Anal., 24 (1993), 712–738.

    21. Bessel sequences and affine frames (with X.L. Shi), Applied and Comp. Harmonic Analysis, 1 (1993), 29–49.

    22. On multi-frequency wavelet decompositions (with X.L. Shi), in Recent Advances in Wavelet Analysis, L.L. Schumaker and G. Webb (eds.), Academic Press, 1993, pp. 155–189.

    23. On Lp-boundedness of affine frames (with X.L. Shi), Indag. Math., 4 (4) (1993), 431–438.

    24. N × oversampling preserves any tight affine-frame for odd N (with X.L. Shi), Proc. Amer. Math. Soc., 121 (2) (1994), 511–517.

    25. A general framework of multivariate wavelets with duals (with C. Li), Applied and Comp. Harmonic Analysis, 1 (4) (1994), 368–390.

    26. Generalized wavelet decompositions of bivariate functions (with X. Li), Proc. Amer. Math. Soc., 121 (1) (1994), 125–131.

    27. A study of compactly supported scaling functions and wavelets (with J.Z. Wang), in Wavelets, Images and Surface Fitting, P.J. Laurent, A. Le Méhauté, and L.L. Schumaker (eds.), A.K. Peters, Wellesley, Massachusetts, 1994, pp. 121–140.

    28. Continuous two-scale equations and dyadic wavelets (with X.L. Shi), Adv. in Comp. Math., 2 (1994), 185–213.

    29. Affine operators and frames of multivariate wavelets (with X.L. Shi), in Advances in Computational Mathematics, H.P. Dikshit and C.A. Micchelli (eds.), World Scientific, Singapore, 1994, pp. 139–156.

    30. Wavelets and frames on the four-directional mesh (with K. Jetter and J. Stöckler), in Wavelets: Theory, Algorithms, and Applications, Academic Press, Boston, 1994, pp. 213–230.

    31. Fast integral wavelet transform on a dense set of the time-scale domain (with A.K. Chan and J. Goswami), Numerische Mathematik, 70 (1995), 283–302.

    32. Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale =3 (with J.A. Lian), Appl. and Comp. Harmonic Anal., 2 (1995), 21–51.

    33. On the convergence of localized cosine series (with X.L. Shi), Annals of Num. Math., 3 (1996), 51–61.

    34. Dyadic affine decompositions and functional wavelet transforms (with C. Li), SIAM J. Math. Anal., 27 (3) (1996), 865–890.

    35. Applications of optimally local interpolation to constructions of interpolatory approximants and compactly supported wavelets (with J. De Villiers), Math. of Comp., 65 (1996), 99–114.

    36. Analytic wavelets generated by radial basis functions (with J. Stöckler and J.D. Ward), Adv. in Comp. Math., 5 (1) (1996), 95–123.

    37. High-order orthonormal scaling functions and wavelets give poor time-frequency localization (with J.Z. Wang), Fourier Anal. and Appl., 2 (5) (1996), 415–426.

    38. Wavelets for analyzing scattered data: an unbounded operator approach (with K. Jetter, J. Stöckler, and J.D. Ward), Appl. and Comp. Harmonic Anal., 3 (1996), 254–267.

    39. On stability bounds of perturbed multivariate trigonometric systems (with X.L. Shi), Appl. and Comp. Harmonic Anal., 3 (1996), 283–287.

    40. A study of orthonormal multi-wavelets (with J.A. Lian), Appl. Numer. Math., 20 (1996), 273–298.

    41. A study of asymptotically optimal time-frequency windows of scaling functions and wave-\break lets (with J.Z. Wang), Annals of Num. Math., 4 (1997), 193–216.

    42. Inequalities on matrix-dilated Littlewood-Paley energy functions and oversampled affine operators (with X.L. Shi), SIAM J. Math. Anal., 28 (1997), 213–232.

    43. Characterization of smoothness via functional wavelet transforms (with C. Li), in Signal and Image Representation in Combined Spaces, Y. Zeevi and R. Coifman (eds.), Academic press, Boston, 1997, pp. 395–414.

    44. A Study of biorthogonal sinusoidal wavelets (with X.L. Shi), in Curves and Surfaces with Applications in CAGD, A. Le Méhauté, C. Rabut, and L.L. Schumaker (eds.), Vanderbilt University Press, Nashville, 1997, pp. 51–66.

    45. Characterization of biorthogonal cosine wavelets (with X.L. Shi), J. Fourier Anal. and Appl., 3 (1997), 559–567.

    46. Multivariate cosine wavelets (with K. Bittner and J. Prestin), in Multivariate Approximation and Splines, G. Nürnberger, J. Schmidt, and G. Walz (eds.), Birkhäuser Verlag, Basel, 1997, pp. 1–9.

    47. Spline-wavelets with arbitrary knots on a bounded interval: orthogonal decomposition and computational algorithms (with J.M. De Villiers), Comm. Appl. Anal., 2 (4) (1998), 457–486.

    48. Affine frames, quasi-affine frames, and their duals (with X. L. Shi and J. Stöckler), Adv. Comp. Math., 8 (1998), 1–17.

    49. From local cosine bases to global harmonics (with K. Bittner, Appl. and Comp. Harmonic Anal., 6 (1999), 382–399.

    50. Shift-invariant bi-inner product functionals are inner products (with X. L. Shi), J. Approx. Theory and Its Appl., 15 (1) (1999), 103–110.

    51. Bounded linear operators that commute with shifts are scaled identity (with X.L. Shi), J. Approx. Theory and Its Appl., 15 (3) (1999), 1–12.

    52. Wavelets of Wilson-type with arbitrary shapes (with X.L. Shi), Appl. and Comp. Harmonic Anal., 8 (2000), 1–23.

    53. Orthonormal wavelets and tight frames with arbitrary real dilations (with X.L. Shi), Appl. Comp. Harmonic Anal., 9 (2000), 243–264.

    54. Compactly supported tight frames associated with functions (with W. He), Appl. and Comp. Harmonic Anal., 8 (2000), 293–319.

    55. From Bessel families of localized cosines to bi-orthogonal Riesz bases via shift-invariance (with X.L. Shi), J. Approx. Theory and Its Appl., 17 (2001), 30–47.

    56. Construction of multivariate tight frames via Kronecker products (with W. He), Appl. and Comp. Harmonic Anal., 11 (2001), 305–312.

    57. Multi-level structure of NURBS and formulation of NURBlets (with J.-A. Lian), in Wavelet Analysis: 20 years Development, D.X. Zhou (ed.), World Scientific, Singapore, 2001, pp. 23–38.

    58. Characterization of general tight wavelet frames with matrix dilation and tightness preservation oversampling (with W. Czaja, M. Maggioni, and G. Weiss), J. Fourier Anal. and Appl., 8 (2) (2002), 173–200.

    59. Compactly supported tight and sibling frames with maximum vanishing moments (with W. He and J. Stöckler), Appl. and Comp. Harmonic Anal., 13 (2002), 224–262.

    60. Gabor frames with arbitrary windows (with K. Bittner), in Approximation Theory X, Vanderbilt University Press, 2002, pp. 41–50.

    61. Nonstationary wavelets and refinement sequences of nonuniform B-splines (with J.-A. Lian), in Approximation Theory X, Vanderbilt University Press, 2002, pp. 207–230.

    62. Tight frames with maximum vanishing moments and minimum support (with W.J. He and J. Stöckler), in Approximation Theory X, Vanderbilt University Press, 2002, pp. 187–206.

    63. Tight frame oversampling and its equivalence to shift-invariance of frame operators (with Q. Sun), Proc. of Amer. Math. Soc., 131 (2003), 1527–1538.

    64. Compactly supported tight affine frames with integer dilation and maximum vanishing moments (with W.J. He, J. Stöckler, and Q. Sun), Adv. in Comp. Math., 18 (2003), 159–187.

    65. Spline modulation of sinusoids for signal representation (with K. Bittner), J. Fourier Anal. & Appl., 9 (2003), 597–622.

    66. Recent development of spline wavelet frames with compact support (with J. Stöckler), in Beyond Wavelets, G.V. Welland (ed.), Elsevier, Amsterdams, 2003, pp. 269–342.

    67. Multivariate balanced vector-valued refinable functions (with Q.T. Jiang), in Modern Development in Multivaraite Approximation, ISNM 145, V.W. Haussmann, K. Jetter, M. Reimer, and J. Stöckler (eds.), Birhhäuser Verlag, Basel, 2003, pp. 71–102.

    68. Formulation of localized cosine bases that preserve polynomial modulated sinusoids (with K. Bittner), J. Fourier Anal. & Appl., 10 (2004), 475–496.

    69. Nonstationary tight wavelet frames, I: bounded intervals (with W. He and J. Stöckler), Appl. and Comp. Harmonic Anal., 17 (2004), 141–197.

    70. Balanced multi-wavelets in Rs (with Q.T. Jiang), in Math. of Comp., 74 (2005), 1323–1344.

    71. Nonstationary tight wavelet frames, II: unbounded intervals (with W. He and J. Stöckler), Appl. and Comp. Harmonic Anal., 18 (2005), 25–66.

    72. Construction of orthonormal multi-wavelets with additional vanishing moments (with J.A. Lian), Adv. in Comp. Math., 24 (2006), 239–262.

    73. Affine frame decompositions and shift-invariant spaces (with Q. Sun), Appl. and Comp. Harmonic Anal., 20 (2006), 74–107.

    74. Characterizations of tight over-sampling frame systems and over-sampling rates (with Q. Sun), Appl. and Comp. Harmonic Anal., 22 (2007), 1–15.

    75. Wavelet-based minimum-energy approach to image restoration (with J.Z. Wang), Appl. and Comp. Harmonic Anal., accepted.

  6. Papers on Mathematics in Science and Engineering:

    1. A minimization problem related to Padé synthesis of recursive digital filters (with P.W. Smith and L.Y. Su), in Padé and Rational Approximation, E.B. Saff and R.S. Varga (eds.), Academic Press, N.Y. 1977, pp. 247–256.

    2. A two-sided rational approximation method for recursive digital filter design (with A.K. Chan), IEEE Trans. ASSP, 27 (1979), 141–146.

    3. Nonrecursive digital filter design by means of Korovkin kernels (with A.K. Chan), IEEE Trans. ASSP, 27 (1979), 218–228.

    4. A new approach to causal filter design by Padé approximants (with A.K. Chan), International Conf. on ASSP (1980), 264–267.

    5. A two-stage linear method for recursive digital filter design (with A.K. Chan), Int. Symp. Circuits and Systems (1980), 1113–1116.

    6. Application of approximation theory methods to recursive digital filter design (with A.K. Chan), IEEE Trans. ASSP, 30 (1982), 18–24.

    7. Design and analysis of linear predictor-corrector digital filters, Linear and Multilinear Algebra, 15 (1984), 47–69.

    8. On near-optimal linear digital tracking filters (with G. Chen), J. Math. Res. and Exp., 4 (1984), 55–62.

    9. Degree of rational approximation in digital filter realization (with X.C. Shen), in Rational Approximation and Interpolation, P.R. Graves--Morris, E.B. Saff, and R.S. Varga (eds.), Springer–Verlag, 1985, pp. 189–209.

    10. Design of near-optimal linear digital tracking filters with colored noise input (with G. Chen), J. Comp. and Appl. Math. 15 (1986), 353–370.

    11. A note on the Kalman canonical decomposition (with G. Chen), J. Math. Res. and Exposition, 6 (1986), 75–79.

    12. Adaptive Kalman filtering for instrumentation radar (with R.E. Green), Trans. Fourth Army Conf. on Appl. Math. and Comp., (1987), 953–978.

    13. Differential energy distributions in non-thermal systems: model calculations and applications to 18F for F nuclear recoil substitutions in CH3 DF3 (with E.B. Rogers, Y.N. Tang, and A.S. Rodgers), Int. J. Chem. Kin., 19 (1987), 583–608.

    14. An efficient algorithm for reducing transfer functions to coprime forms (with G. Chen), IEEE Trans. Auto. Control, 32 (1987), 521–523.

    15. Image reconstruction by bivariate quadratic splines (with A.K. Chan and K.B. Chan), IEEE Trans. ASSP, 36 (1988), 1525–1529.

    16. Asymptotically optimal sampling schemes for periodic functions, II: multivariate case (with H. Chen and C.A. Micchelli), in Multivariate Approximation Theory IV, Birkhäuser, 1989, pp. 73–86.

    17. A novel finite-element formulation using quintic vertex splines for field analysis in closed structures (with A.K. Chan), in Proc. Fifth Annual Conf. Appl. Comp. Elec. Soc. (1989), pp. 524–531.

    18. Modified extended Kalman filtering and a real-time parallel algorithm for system parameter identification (with G. Chen and H.C. Chui), IEEE Trans. Auto. Control, 35 (1990), 100–104.

    19. Approximation and interpolation formulas for real-time applications (with H. Diamond), Trans. Seventh Army Conference on Appl. Math. and Comp. (1990), 765–772.

    20. Radial basis function approach to interpolation of large reflecting surface (with A.K. Chan and L.T. Guan), in SPIE 1251 Curves and Surfaces in Computer Vision and Graphics, L.A. Ferrari and R.J.P. de Figueiredo (eds.), 1990, pp. 62–72.

    21. Application of generalized vertex splines to boundary element method for electromagnetic scattering (with A.K. Chan and T.X. He), in Sixth Annual Review of Progress in Appl. Comp. Electromagnetic Soc., 1990, 329–337.

    22. Curve design and analysis using splines and wavelets, Trans. Eighth Army Conf. on Appl. Math. and Comp., (1990), 471–481.

    23. A modified adaptive Kalman filter for real-time applications (with G. Chen), IEEE Trans. Aerospace and Electronic Systems, 27 (1) (1991), 149–154.

    24. Real-time signal analysis with quasi-interpolatory splines and wavelets (with A.K. Chan), in Curves and Surfaces, P.J. Laurent, A. Le Méhauté, and L.L. Schumaker (eds.), Academic Press, 1991, pp. 75–82.

    25. A general study of maximal robust stability regions (with H.N. Mhaskar), Circuits, Systems, and Signal Processing, 10 (1991), 15–30.

    26. System reduction via truncated Hankel matrices (with X. Li and J.D. Ward), Math. Control, Signals, Systems, 4 (1991), 161–175.

    27. Local cardinal spline interpolation and its application to image processing (with A.K. Chan, J. Zha, and Q. Liu), in SPIE 1610 Curves and Surfaces in Computer Vision and Graphics II, M.J. Silbermann and H.D. Tagare (eds.), 1991, pp. 272–283.

    28. Corner detection using spline-wavelets (with A.K. Chan, Jun Zha, and Q. Liu), in SPIE 1610 {\it Curves and Surfaces in Computer Vision and Graphics II}, M.J. Silbermann and H.D. Tagare (eds.), 1991, pp. 311–322.

    29. Optimal Hankel-norm approximation approach to model reduction of large-scale Markov chains (with G. Chen and Y. Yu), Int. J. Systems. Sci., 23 (8) (1992), 1289–1297.

    30. Real-time detection of transient signals using spline-wavelets (with A.C. Cheung and A.K. Chan), in ICASSP 92 (4) (1992), pp. 361–364.

    31. Applications of spline-wavelet packets to echo cancellation and other signal processing problems (with A.K. Chan), Proc. Canadian Conference on Electrical and Computer Engineering 1992.

    32. Local cardinal spline interpolation for solving coupled nonlinear Schrödinger equations: comparison with BPM (with A.K. Chan, J. Zha, and J. Bian), in Proc. Integrated Photonics Research, New Orleans, LA, 1992.

    33. Realization of neural networks with one hidden layer (with X. Li), in Multivariate Approximations: From CAGD to Wavelets, K. Jetter and F. Utreras (eds.), World Scientific, 1993, pp. 77–89.

    34. A hybrid technique using spline-wavelet packets and vector quantization for high bit-rate image compression (with Q. Liu, A.K. Chan, E. Pettit, and D. Rhines), in SPIE Conf., San Diego, July 1993.

    35. Simulations of space-change effects on quantum-well devices using self-consistent solution of the Schrödinger--Poisson equations (with J.J. Chen and A.K. Chan), Proc. Integrated Photonic Research IPR-93, March 1993, 499–502.

    36. A theoretical investigation of soliton decoupling in cross-phase modulation systems (with M. Du and A.K. Chan), Proc. Integrated Photonic Research IPR-93, March 1993, 305–308.

    37. A local interpolatory cardinal spline method for the determination of eigenstates in quantum well structures with arbitrary potential profiles (with J.J. Chen and A.K. Chan), IEEE J. of Quantum Electronics, 30 (2) (1994), 269–274.

    38. Simultaneous wavelet and spline smoothing of noisy data (with P.L. Ainsleigh), ICASSP-93 III (1994), 197–200.

    39. An oversampled frame algorithm for real-time implementation and applications (with X.L. Shi and A.K. Chan), in Wavelet Applications, H. H. Szu (ed.), SPIE Proc. 2242 (1994), pp. 272–301.

    40. Parallel implementation of wavelet decomposition/reconstruction algorithms (with H.J. Lee, J.C. Liu, and A.K. Chan), in Wavelet Applications, H.H. Szu (ed.), SPIE Proc. 2242 (1994), pp. 248–259.

    41. Complexity analysis of wavelet signal decomposition and reconstruction (with Ç. K. Koç and G. Chen), IEEE Trans. on Aerospace and Electronic Systems, 30 (3) (1994), 910–918.

    42. Oversampled frame algorithms for real-time wavelet and wavelet packet frame decompositions and reconstructions, Optical Engineering, 33 (1994), 2108–2110.

    43. Rational approximation theory and its applications in systems engineering: An overview (with G. Chen), IEEE Proc. of the 33rd Conference on Decision and Control, III 1994, 1487–1492.

    44. On a spline-based fast integral wavelet transform algorithm (with J.C. Goswami and A.K. Chan), in Ultra-Wideband Short Pulse Electromagnetics 2, H.L. Bertoni, L. Carin, L.B. Felsen, and S.U. Pillai (eds.), Plenum Press, New York, 1995.

    45. A novel approach to solving the nonlinear Schrödinger equation by the coupled amplitude-phase formulation (with M. Du and A.K. Chan), IEEE Trans. Quantum Electronics, 31 (1) (1995), 177–182.

    46. An application of fast integral wavelet transform to waveguide mode identification (with J.C. Goswami and A.K. Chan), IEEE Trans. on Microwave Theory and Tech., 43 (3) (1995), 655–663.

    47. On solving first-kind integral equations using wavelets on a bounded interval (with J.C. Goswami and A.K. Chan), IEEE Trans. Antennas and Propagation, 43 (6) (1995), 614–622.

    48. On the performance impact of data placement for wavelet decomposition of image data on SIMD machines (with A.K. Chan , J. LeMoigne, H.J. Lee, J.C. Liu, T.A. El-Ghazawi), in IEEE Frontier 95 th Conf. on Massively Parallel Processing, III 1995, 246–251.

    49. An error concealment algorithm for wavelet-coded images over packet-switched networks (with H.J. Lee, J.C. Liu, and A.K. Chan), in Proc. of SPIE Conference on Multimedia Networking, San Diego, California, 1995.

    50. Wavelet approach to detect discontinuities of intensity functions for minefield classification (with R.R. Muise), in Proc. of SPIE Confernece on Detection Technologies for Mines and Mine-like Targets, Orlando, Florida, 1995, pp. 531–542.

    51. Histogram equalization, image registration, and data fusion for multispectral images (with M. Deepan, A.K. Chan), in Proc. of SPIE Confernece on Detection Technologies for Mines and Mine-like Targets, Orlando, Florida, 1995, pp. 1025–1031.

    52. A B-wavelet based noise reduction algorithm (with P.L. Ainsleigh), IEEE Trans. Signal Processing, 44 (5) (1996), 1279–1284.

    53. Wigner-Ville distribution decomposition via wavelet packet transform (with M. Wang, A.K. Chan), Proc. IEEE Trans. SP International Symposium on TF-TS Analysis, Paris, France, 1996, 413–416.

    54. Spectral analysis of single and coupled microstrip open discontinuities with anisotropic substrates (with J.C. Goswami and A.K. Chan), IEEE Trans. Microwave Theory and Techniques, 44 (7) (1996), 1174–1178.

    55. A new spline-wavelet based medical image compression algorithm (with J.D. Hazle and D.F. Schomer), SCAR 96 Computer Application to Assist Radiology, R.F. Kilcoyne, J.L. Lear, and A.H. Rowberg (eds.), Symposia Foundation, 1996, pp. 119–124.

    56. Application of B-spline wavelets for high-level, high-quality compression of medical image data (with D. F. Schomer and J.D. Hazle), SCAR 96 Computer Application to Assist Radiology, R.F. Kilcoyne, J.L. Lear, and A.H. Rowberg (eds.), Symposia Foundation, 1996, pp. 417–421.

    57. Wavelet-based computer-aided diagnosis for screening mammography (with D.F. Schomer and J.D. Hazle), SCAR 96 Computer Applications to Assist Radiology, R.F. Kilcoyne, J.L. Lear, and A.H. Rowberg (eds.), Symposia Foundation, 1996, pp. 172–178.

    58. An introduction to wavelet-based compression of medical images (with D. Schomer), Radio Graphics, 1997.

    59. A filter-bank based Kalman Filtering technique for wavelet estimation and decomposition of random signals (with L. Hong and G. Chen), IEEE Trans. Circuits and Systems II: Analog and Signal Processing, 45 (2) (1998), 237–241.

    60. Real-time simultaneous estimation and decomposition of random signals (with L. Hong and G. Chen), Multidimensional Systems and Signal Processing, 9 (1998), 273–289.

    61. Linear frequency-modulated signal detection using radon-ambiguity transform (with M. Wang and A.K. Chan), IEEE Transactions on Signal Processing, 46 (3) (1998), 571–586.

    62. On the application of wavelet methods to simulation aerodynamic modeling (with H. Houlden, E. Parlette, K. Dominguez, K.D. Hoffler), AIAA, 2000.

    63. A wavelet-frame based image force model for active contouring algorithms (with H.H. Wu and J.C. Liu), IEEE Trans. Image Proc., 9 (2000), 1983–1988.

    64. Development of multi-dimensional wavelet methods for simulation aerodynamic modeling, (with H. Houlden, E. Parlette, K. Dominguez, and K.D. Hoffler), AIAA, 2001.

    65. Shannon wavelet approach to sub-band coding (with J.Z. Wang), Int'l J. of Wavelets, Multiresolution and Information Processing, 1 (2003), 233–242.

    66. Balanced multi-wavelets with short filters (with J.A. Lian), IEEE Signal Processing Letters, 11 (2) (2004), 75–78.

    67. Analysis-ready multi-wavelets (Armlets) for processing scalar-valued signals (with J.A. Lian), IEEE Signal Processing Letters, 11 (2) (2004), 205–208.

    68. A symmetric image encryption scheme based on 3D chaotic Cat maps (with R. Chen and Y. Mao), Chaos, Solitons and Fractals, 21 (2004), 749–761.

    69. A universal noise removal algorithm with an impulse detector (with R. Garnett, T. Huegerich, W. He), IEEE Trans. Image Processing, 14 (11) (2005), 1747–1754.

    70. Iterative sketch generation (with W. He, H. Kang, and U. Chakraborty), The Visual Computer, 21 (9) (2005), 812–830.

    71. Multi-scale stroke-based rendering by evolutionary algorithm (with H. Kang, and U. Chakraborty, and W. He), Proc. International Workshop on Frontiers of Evolutionary Algorithms, 2005, pp. 546–549.

    72. A unified scheme for adaptive stroke-based illustration (with H.W. Kang and U. Chakraborty), J. Visual Computer, 22 (2006), 814–824.

 
   
 
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