Bibliography for B-Splines

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  1. A Mathematica Package for CAGD and Computer Graphics
    Andrés Iglesias, Flabio Gutiérrez and Akemi Gálvez
    University of Cantabria, Santander, Spain and National University of Piura, Peru
  2. Total least squares fitting of Bezier and B-spline curves to ordered data
    Borges, C. F.; Pastva, T.
    Computer Aided Geometric Design, 2002, vol. 19, no. 4, pp. 275-289, Ingenta.  
  3. Spectral Properties of Endohedrally Confined Hydrogen Atom and Hydrogen-Like Ions Obtained by Using B-Spline Basis Set
    Qiao, H.-X.; Li, B.-W.
    Communications in Theoretical Physics, 2002, vol. 37, no. 4, pp. 475-478, Ingenta.  
  4. Forecasting cyanobacterium Anabaena spp. in the River Murray, South Australia, using B-spline neurofuzzy models
    Maier, H. R.; Sayed, T.; Lence, B. J.
    Ecological Modelling, 2001, vol. 146, no. ER1-3, pp. 85 - 96, Ingenta.  
  5. Modeling the Cardiac Action Potential Using B-Spline Surfaces.
    Rogers, J.M.
    IEEE Transactions on Biomedical Engineering Bme, 2000, vol. 47, no. 6, pp. 784, Ingenta.  
  6. B-splines in analysis, algebra and applications.
    Dahmen, Wolfgang
    Travaux mathématiques, Fasc. X, 15--76, Sém. Math. Luxembourg, Centre Univ. Luxembourg, Luxembourg, 1998, MathSciNet.  
  7. Flexible Smoothing with B-splines and Penalties  
    Paul H. C. Eilers, Brian D. Marx  
    Statistical Science, Vol. 11, No. 2. (May, 1996), pp. 89-102, Jstor.  
  8. C1-Surface Splines  
    Jorg Peters  
    SIAM Journal on Numerical Analysis, Vol. 32, No. 2. (Apr., 1995), pp. 645-666, Jstor.  
  9. Hazard Function Estimation Using B-Splines  
    Philip S. Rosenberg  
    Biometrics, Vol. 51, No. 3. (Sep., 1995), pp. 874-887, Jstor.  
  10. An efficient algorithm for B-spline curves.
    Zhang, Xiaopeng
    Pure Appl. Math. 11 (1995), suppl., 58--60, MathSciNet.  
  11. On the Computation of Battle-Lemarie's Wavelets  
    Ming-Jun Lai  
    Mathematics of Computation, Vol. 63, No. 208. (Oct., 1994), pp. 689-699, Jstor.  
  12. B-splines with geometric knot spacings.  
    Koçak, Zeynep F.; Phillips, George M.  
    BIT 34 (1994), no. 3, 388--399, MathSciNet.  
  13. Interpolation by Lagrange polynomials, B-splines and bounds of errors.
    Shadrin, A. Yu.
    Anal. Math. 20 (1994), no. 3, 213--224, MathSciNet.  
  14. A New Class of Kernels for Nonparametric Curve Estimation (in Curve Estimation)  
    Karen Messer, Larry Goldstein  
    Annals of Statistics, Vol. 21, No. 1. (Mar., 1993), pp. 179-195, Jstor.  
  15. Blossoming Begets B-Spline Bases Built Better by B-Patches  
    Wolfgang Dahmen, Charles A. Micchelli, Hans-Peter Seidel  
    Mathematics of Computation, Vol. 59, No. 199. (Jul., 1992), pp. 97-115, Jstor.  
  16. Efficient Algorithms for Periodic Hermite Spline Interpolation  
    G. Plonka, M. Tasche  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 693-703, Jstor.  
  17. On Compactly Supported Spline Wavelets and a Duality Principle  
    Charles K. Chui, Jian-Zhong Wang  
    Transactions of the American Mathematical Society, Vol. 330, No. 2. (Apr., 1992), pp. 903-915, Jstor.  
  18. Feature extraction from b-spline marine propeller representations
    Patrikalakis, Nicholas M.; Bardis, Leonidas
    Journal of ship research, 1992, vol. 36, no. 3, pp. 233, Ingenta.  
  19. A Cardinal Spline Approach to Wavelets  
    Charles K. Chui, Jian-Zhong Wang  
    Proceedings of the American Mathematical Society, Vol. 113, No. 3. (Nov., 1991), pp. 785-793, Jstor.  
  20. On Hermite interpolation with B-splines.
    Seidel, Hans-Peter
    Comput. Aided Geom. Design 8 (1991), no. 6, 439--441, MathSciNet.  
  21. Regression Splines in the Cox Model with Application to Covariate Effects in Liver Disease (in Applications and Case Studies)  
    Lynn A. Sleeper, David P. Harrington  
    Journal of the American Statistical Association, Vol. 85, No. 412. (Dec., 1990), pp. 941-949, Jstor.  
  22. An Iterative Approach to Two-Dimensional Laplacian Smoothing with Application Image Restoration (in Theory and Methods)  
    Finbarr O'Sullivan  
    Journal of the American Statistical Association, Vol. 85, No. 409. (Mar., 1990), pp. 213-219, Jstor.  
  23. The Exact Condition of the B-Spline Basis May Be Hard to Determine.
    De Boor, Carl
    Journal of approximation theory, 1990, vol. 60, no. 3, pp. 344, Ingenta.  
  24. The Condition of the B-Spline Basis for Polynomials  
    Carl De Boor  
    SIAM Journal on Numerical Analysis, Vol. 25, No. 1. (Feb., 1988), pp. 148-152, Jstor.  
  25. Spline Matrices and Their Applications to Some Higher Order Methods for Boundary Value Problems  
    John Gregory, Marvin Zeman  
    SIAM Journal on Numerical Analysis, Vol. 25, No. 2. (Apr., 1988), pp. 399-410, Jstor.  
  26. B-spline approximation.
    Carr, Janet C.
    Journal of undergraduate mathematics, 1988, vol. 20, no. 2, pp. 39, Ingenta.  
  27. On a Method for Fitting an Unknown Function Based on Mean-Value Measurements  
    Guenter Baszenski, Larry L. Schumaker  
    SIAM Journal on Numerical Analysis, Vol. 24, No. 3. (Jun., 1987), pp. 725-736, Jstor.  
  28. The Shannon Sampling Series and the Reconstruction of Signals in Terms of Linear, Quadratic and Cubic Splines  
    P. L. Butzer, W. Engels, S. Ries, R. L. Stens  
    SIAM Journal on Applied Mathematics, Vol. 46, No. 2. (Apr., 1986), pp. 299-323, Jstor.  
  29. Statistical encounters with B-splines.
    Dahmen, Wolfgang; Micchelli, Charles A.
    Function estimates (Arcata, Calif., 1985), 17--48, Contemp. Math., 59, Amer. Math. Soc., Providence, RI, 1986, MathSciNet.  
  30. A Geometric Proof of Total Positivity for Spline Interpolation  
    C. de Boor, R. DeVore  
    Mathematics of Computation, Vol. 45, No. 172. (Oct., 1985), pp. 497-504, Jstor.  
  31. On the Linear Independence of Multivariate B-Splines. II: Complete Configurations  
    Wolfgang A. Dahmen, Charles A. Micchelli  
    Mathematics of Computation, Vol. 41, No. 163. (Jul., 1983), pp. 143-163, Jstor.  
  32. Multivariate Spline Functions, B-Spline Basis and Polynomial Interpolations  
    Hakop Hakopian  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 3. (Jun., 1982), pp. 510-517, Jstor.  
  33. A Fast Algorithm for Smoothing Data on a Rectangular Grid While Using Spline Functions  
    Paul Dierckx  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 6. (Dec., 1982), pp. 1286-1304, Jstor.  
  34. On Multivariate B-Splines  
    Wolfgang Dahmen  
    SIAM Journal on Numerical Analysis, Vol. 17, No. 2. (Apr., 1980), pp. 179-191, Jstor.  
  35. Natural Cubic and Bicubic Spline Interpolation  
    C. A. Hall  
    SIAM Journal on Numerical Analysis, Vol. 10, No. 6. (Dec., 1973), pp. 1055-1060, Jstor.  
  36. On the Linear Independence of Multivariate B-Splines, I. Triangulations of Simploids  
    Wolfgang A. Dahmen, Charles A. Micchelli  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 5. (Oct., 1982), pp. 993-1012, Jstor.  
  37. Evaluation of Fourier Integrals Using B-Splines  
    M. Lax, G. P. Agrawal  
    Mathematics of Computation, Vol. 39, No. 160. (Oct., 1982), pp. 535-548, Jstor.  
  38. Multivariate Splines  
    Klaus Hollig  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 5. (Oct., 1982), pp. 1013-1031, Jstor.  
  39. Recurrence Relations for Multivariate B-Splines  
    Carl De Boor, Klaus Hollig  
    Proceedings of the American Mathematical Society, Vol. 85, No. 3. (Jul., 1982), pp. 397-400, Jstor.  
  40. Approximation to Data by Splines with Free Knots  
    David L. B. Jupp  
    SIAM Journal on Numerical Analysis, Vol. 15, No. 2. (Apr., 1978), pp. 328-343, Jstor.  
  41. Splines with Nonnegative B-Spline Coefficients  
    C. de Boor, James W. Daniel  
    Mathematics of Computation, Vol. 28, No. 126. (Apr., 1974), pp. 565-568, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003