Bibliography for B-Splines

unabridged

  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. Electron impact collision strengths and rates for neutral sulphur using the B-spline R-matrix approach
    Zatsarinny, O.; Tayal, S. S.
    Journal of Physics, 2002, vol. 35, no. 11, pp. 2493-2504, Ingenta.  
  3. Quantification of Spinal Cord Atrophy From Magnetic Resonance Images Via a B-Spline Active Surface Model
    Coulon, O.; Hickman, S. J.; Parker, G. J.; Barker, G. J.; Miller, D. H.; Arridge, S. R.
    Magnetic Resonance in Medicine, 2002, vol. 47, no. 6, pp. 1176-1185, Ingenta.  
  4. G1 continuous conditions of biquartic B-spline surfaces
    Shi, X.; Yu, P.; Wang, T.
    Journal of Computational and Applied Mathematics, 2002, vol. 144, no. 1-2, pp. 251-262, Ingenta.  
  5. 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.  
  6. 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.  
  7. Extending Neural Networks for B-Spline Surface Reconstruction
    Echevarria, G.; Iglesias, A.; Galvez, A.
    Lecture Notes in Computer Science, 2002, no. 2330, pp. 305-314, Ingenta.  
  8. Image Resizing Using Oblique Projection B-Spline with Sharpness Preserving
    Wu, J.; Zhu, C.-g.
    Journal of Remote Sensing, 2002, vol. 6, no. 2, pp. 108-112, Ingenta.  
  9. Solution of the Euler Equations on Locally Adaptive B-Spline Grids
    Bramkamp, F.; Ballmann, J.
    Notes on Numerical Fluid Mechanics, 2002, vol. 77, pp. 281-288, Ingenta.  
  10. Convergence of the multicenter B-spline DFT approach for the continuum
    Toffoli, D.; Stener, M.; Fronzoni, G.; Decleva, P.
    Chemical Physics, 2002, vol. 276, no. ER1, pp. 25-43, Ingenta.  
  11. A new method of non-uniform rational B-spline interpolation. (Chinese)
    Su, Xiao Hong; Li, Dong; Wang, Yu Ying
    J. Harbin Inst. Tech. 33 (2001), no. 1, 108--111, MathSciNet.  
  12. Quadratic B-spline curve interpolation
    Cheng, F.; Wang, X.; Barsky, B. A.
    Computers and Mathematics With Applications, 2001, vol. 41, no. 1-2, pp. 39-50, Ingenta.  
  13. Cutter Swept Surface Construction using B-spline Surface Interpolation
    Crossman, J. A.; Yoon, D. H.
    International Journal of Modelling and Simulation, 2001, vol. 21, no. 4, pp. 292-300, Ingenta.  
  14. Analysis of Curved Beams by the B-Spline Field Approximation Method
    Vermeulen, A. H.; Heppler, G. R.
    Asme, 2001, vol. 432, pp. 77-88, Ingenta.  
  15. How to Carry Out the Interpolation Algorithm of B-spline Curve
    Wang, F.; Wang, A.-l.
    Journal- North China Institute of Technology, 2001, vol. 22, no. 6, pp. 452-455, Ingenta.  
  16. Animated face modeling and adaptation with triangular B-spline (Invited Paper) [4553-35]
    Xu, G.; Zhang, H.; Wang, Q.
    Proceedings- Spie the International Society for Optical Engineering, 2001, no. 4553, pp. 126-131, Ingenta.  
  17. B-Spline Surface Approximation for Scan Measured Cloudy Data
    Zhu, D.-B.
    Journal of Computer Aided Design and Computer Graphics, 2001, vol. 13, no. 12, pp. 1123-1128, Ingenta.  
  18. 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.  
  19. Least squares generalized B-spline signal and image processing
    Panda, R.; Chatterji, B. N.
    Signal Processing, 2001, vol. 81, no. ER10, pp. 2005-2017  ELSEVIER, Ingenta.  
  20. Tag Surface Reconstruction and Tracking of Myocardial Beads from SPAMM-MRI With Parametric B-Spline Surfaces
    Amini, A. A.; Chen, Y.; Elayyadi, M.; Radeva, P.
    IEEE Transactions on Medical Imaging Mi, 2001, vol. 20, no. 2, pp. 94-103, Ingenta.  
  21. Natural interpolation by B-splines. (Russian)
    Kalitkin, N. N.; Shlyakhov, N. M.
    Dokl. Akad. Nauk 374 (2000), no. 3, 299--303, MathSciNet.  
  22. Quadratic B-spline for Curve Fitting (Short Communication)
    Hu, W.-C.; Sheu, H.-T.
    Proceedings- National Science Council Republic of China Part A Physical Science and Engineering, 2000, vol. 24, no. 5, pp. 373-381, Ingenta.  
  23. 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.  
  24. An automated curve fairing algorithm for cubic B-spline curves.
    Poliakoff, Janet F.; Wong, Yew Kee; Thomas, Peter D.
    Special issue: computational methods in computer graphics. J. Comput. Appl. Math. 102 (1999), no. 1, 73--85, MathSciNet.  
  25. Minimax emission computed tomography using high-resolution anatomical side information and B-spline models.
    Hero, Alfred O.; Piramuthu, Robinson; Fessler, Jeffrey A.; Titus, Steven R.
    IEEE Trans. Inform. Theory 45 (1999), no. 3, 920--938, MathSciNet.  
  26. A B-Spline Based BEM for Unsteady Free-Surface Flows.
    Landrini, M.; Grytoyr, G.; Faltinsen, O.M.
    Journal of ship research, 1999, vol. 43, no. 1, pp. 13, Ingenta.  
  27. B-splines in analysis, algebra and applications.
    Dahmen, Wolfgang
    Travaux mathématiques, Fasc. X, 15--76, Sém. Math. Luxembourg, Centre Univ. Luxembourg, Luxembourg, 1998, MathSciNet.  
  28. Convexity-preserving B-spline modification.
    Goodman, T. N. T.; Unsworth, K.
    Geometric modelling techniques (Anogia Academic Village, 1997). Math. Engrg. Indust. 7 (1999), no. 2, 155--164, MathSciNet.  
  29. Almost curvature continuous fitting of B-spline surfaces.
    Szilvási-Nagy, Márta
    J. Geom. Graph. 2 (1998), no. 1, 33--43, MathSciNet.  
  30. Design and Tessellation of B-Spline Developable Surfaces.
    Maekawa, T.; Chalfant, J.
    Journal of mechanical design, 1998, vol. 120, no. 3, pp. 453, Ingenta.  
  31. Robust B-Spline Image Modeling with Application to Image Processing.
    Karczewicz, M.; Gabbouj, M.
    IEEE transactions on image processing, 1998, vol. 7, no. 6, pp. 912, Ingenta.  
  32. Corner cutting curves and a new characterization of Bézier and B-spline curves.
    Aumann, Günter
    Comput. Aided Geom. Design 14 (1997), no. 5, 449--474, MathSciNet.  
  33. Identities for trigonometric B-splines with an application to curve design.
    Walz, Guido
    BIT 37 (1997), no. 1, 189--201, MathSciNet.  
  34. A new approach to Tchebycheffian B-splines.
    Bister, Daniel; Prautzsch, Hartmut
    Curves and surfaces with applications in CAGD (Chamonix--Mont-Blanc, 1996), 35--41, Vanderbilt Univ. Press, Nashville, TN, 1997, MathSciNet.
  35. 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.  
  36. An optimization approach for biarc curve-fitting of B-spline curves.
    Ong, C.J.; Wong, Y.S.; Hong, X.G.
    Computer aided design, 1996, vol. 28, no. 12, pp. 951, Ingenta.  
  37. C1-Surface Splines  
    Jorg Peters  
    SIAM Journal on Numerical Analysis, Vol. 32, No. 2. (Apr., 1995), pp. 645-666, Jstor.  
  38. Hazard Function Estimation Using B-Splines  
    Philip S. Rosenberg  
    Biometrics, Vol. 51, No. 3. (Sep., 1995), pp. 874-887, Jstor.  
  39. An efficient algorithm for B-spline curves.
    Zhang, Xiaopeng
    Pure Appl. Math. 11 (1995), suppl., 58--60, MathSciNet.  
  40. On the Computation of Battle-Lemarie's Wavelets  
    Ming-Jun Lai  
    Mathematics of Computation, Vol. 63, No. 208. (Oct., 1994), pp. 689-699, Jstor.  
  41. B-splines with geometric knot spacings.  
    Koçak, Zeynep F.; Phillips, George M.  
    BIT 34 (1994), no. 3, 388--399, MathSciNet.  
  42. Interpolation by Lagrange polynomials, B-splines and bounds of errors.
    Shadrin, A. Yu.
    Anal. Math. 20 (1994), no. 3, 213--224, MathSciNet.  
  43. Least-squares B-spline surface reconstruction in tomography.
    Gmelig Meyling, R. H. J.
    Colloquium topics in applied numerical analysis, Vol. 1 (Amsterdam, 1983/1984), 215--236, CWI Syllabi, 4, Math. Centrum, Centrum Wisk. Inform., Amsterdam, 1984, MathSciNet.  
  44. 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.  
  45. Some remarks on B-splines.
    Goldman, M.
    Mathematics (Latvian), 95--102, Latv. Univ. Zin\=at. Raksti, 588, Latv. Univ., Riga, 1993, MathSciNet.  
  46. 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.  
  47. Efficient Algorithms for Periodic Hermite Spline Interpolation  
    G. Plonka, M. Tasche  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 693-703, Jstor.  
  48. 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.  
  49. 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.  
  50. 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.  
  51. On Hermite interpolation with B-splines.
    Seidel, Hans-Peter
    Comput. Aided Geom. Design 8 (1991), no. 6, 439--441, MathSciNet.  
  52. Gaussian cubature formula for the computation of generalized B-splines and its application to serial correlation.
    Kaishev, V. K. A
    Statistical multiple integration (Arcata, CA, 1989), 219--237, Contemp. Math., 115, Amer. Math. Soc., Providence, RI, 1991, MathSciNet.  
  53. Systolic algorithms for B-spline patch generation.
    Megson, G.M.
    Journal of parallel and distributed computing, 1991, vol. 11, no. 3, pp. 213, Ingenta.  
  54. 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.  
  55. 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.  
  56. 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.  
  57. Hermite interpolation with B-splines.
    Mummy, Mark S.
    Comput. Aided Geom. Design 6 (1989), no. 2, 177--179, MathSciNet.  
  58. Optimal experimental designs for the B-spline regression.
    Kaishev, V.K.
    Computational statistics & data analysis, 1989, vol. 8, no. 1, pp. 39, Ingenta.  
  59. Modeling DNA Supercoils and Knots with B-Spline Functions.
    Hao, M.-H
    Biopolymers, 1989, vol. 28, no. 4, pp. 873, Ingenta.  
  60. 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.  
  61. 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.  
  62. B-spline approximation.
    Carr, Janet C.
    Journal of undergraduate mathematics, 1988, vol. 20, no. 2, pp. 39, Ingenta.  
  63. Observations on the history of central B-splines.
    Butzer, P. L.; Schmidt, M.; Stark, E. L.
    Arch. Hist. Exact Sci. 39 (1988), no. 2, 137--156, MathSciNet.  
  64. 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.  
  65. On algorithms and applications for bivariate B-splines.
    Gmelig Meyling, R. H. J.
    Algorithms for approximation (Shrivenham, 1985), 83--93, Inst. Math. Appl. Conf. Ser. New Ser., 10, Oxford Univ. Press, New York, 1987, MathSciNet.  
  66. 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.  
  67. Discrete cubic B-splines. (Russian)
    Belousov, A. V.
    Vychisl. Sistemy No. 115 (1986), 72--84, 151, MathSciNet.  
  68. Comments on some B-spline algorithms.
    Lee, E. T. Y.
    Computing 36 (1986), no. 3, 229--238, MathSciNet.  
  69. 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.  
  70. 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.  
  71. A class of combinations of B-splines and curve fitting. (Chinese)  
    Linhu, Chang Ren  
    Numer. Math. J. Chinese Univ. 6 (1984), no. 1, 1--7, MathSciNet.  
  72. Fair fitting methods using Bézier curves and B-spline curves. (Chinese)
    Liu, Ding Yuan; Zhao, Yu Qi; Zhan, Ting Xiong; Xiao, Hong En
    Math. Numer. Sinica 6 (1984), no. 4, 360--365, MathSciNet.  
  73. 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.  
  74. 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.  
  75. 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.  
  76. On Multivariate B-Splines  
    Wolfgang Dahmen  
    SIAM Journal on Numerical Analysis, Vol. 17, No. 2. (Apr., 1980), pp. 179-191, Jstor.  
  77. Natural Cubic and Bicubic Spline Interpolation  
    C. A. Hall  
    SIAM Journal on Numerical Analysis, Vol. 10, No. 6. (Dec., 1973), pp. 1055-1060, Jstor.  
  78. 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.  
  79. 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.  
  80. Multivariate Splines  
    Klaus Hollig  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 5. (Oct., 1982), pp. 1013-1031, Jstor.  
  81. 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.  
  82. 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.  
  83. A remark on calculating with B-splines.
    Mühlbach, G.
    Rev. Roumaine Math. Pures Appl. 24 (1979), no. 10, 1449--1450, MathSciNet.  
  84. 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