A comment on Ewald Quak's ``"About B-splines"
DOI:
https://doi.org/10.33993/jnaat451-1101Keywords:
B-spline, B-spline recurrence, Marsden's identity, knot insertion, Popoviciu, ChakalovAbstract
The early contributions to B-spline theory by Tiberiu Popoviciu and by Liubomir Chakalov are recalled.
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[B80] W. Boehm, Inserting new knots into B-spline curves, Computer-Aided Design, 12 (1980) no. 4, pp.199-201, http://dx.doi.org/10.1016/0010-4485(80)90154-2 DOI: https://doi.org/10.1016/0010-4485(80)90154-2
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[P34a] T. Popoviciu, Sur quelques proprietes des fonctions d’une ou de deux variables reel les, Mathematica, 8 (1934), pp.1-85. Retrieved on October 3rd, 2016, from http://ictp.acad.ro/popoviciu
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[Q] E. Quak, About B-splines. Twenty answers to one question: What is the cubic B-spline for the knots -2,-1,0,1,2?, J. Numer. Anal. Approx. Theory, 45 (2016) no. 1, pp.37-83, http://ictp.acad.ro/jnaat/journal/issue/view/2016-vol45-no1 DOI: https://doi.org/10.33993/jnaat451-1099
[S64] I.J. Schoenberg, Spline functions and the problem of graduation, Proc. Amer. Math. Soc., 52 (1964), pp.947-950, http://dx.doi.org/10.1073/pnas.52.4.947 DOI: https://doi.org/10.1073/pnas.52.4.947
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