Results 221 to 230 of about 53,902 (261)

Optimal parameterization for cubic splines

Computer-Aided Design, 1991
The author proposes an algorithm which produces a unique \(C^ 2\)-spline with nearly optimal arc-length parametrization. In order to determine the spline in question a minimization problem with interpolatory constraints has to be solved. Shape preserving interpolation is also discussed.
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Smoothing With Periodic Cubic Splines

Bell System Technical Journal, 1983
In this paper we present a mathematical algorithm for constructing a smoothing cubic spline with periodic end conditions and a predetermined ‘closeness of fit’ to a given set of points in the plane. In addition to providing a mathematical tool for smoothing raw data in which the underlying function is known to be periodic, this algorithm has special ...
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Cubic X-spline Interpolants

IMA Journal of Numerical Analysis, 1984
A cubic X-spline with knots \(\{x_ i\}^ N_{i=0}\) and parameter vector \(\{c_ i\}\) is a function \(s\in C^ 1[a,b]\) if \[ (i)\quad s(x)\text{ is a cubic on each } [x_{i-1},x_ i], \] \[ (ii)\quad s'(a)=[s(x_ 1)-s(x_ 0)]/h_ 1\text{ and } s'(b)=[s(x_ N)-s(x_{N- 1})]/h_ n, \] and \[ (iii)\quad s^{(2)}(x_ i+)-s^{(2)}(x_ i- )=(c_ ih_{i+1}/3)[s^{(3)}(x_ i ...
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Representations for parametric cubic splines

Computer Aided Geometric Design, 1989
Geometrically continuous cubic splines [see \textit{B. A. Barsky}, Ph. D. Dissertation, Univ. of Utah (1981); \textit{W. Boehm}, Comput. Aided Geom. Des. 2, 313-323 (1985; Zbl 0645.53002); the author, ibid. 3, 155-162 (1986; Zbl 0592.41011), \textit{G. M. Nielson}, Proc. Conf., Univ. Utah Salt Like City, Utah 1974, 209-235 (1974; M.R.
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Discrete weighted cubic splines

Numerical Algorithms, 2014
The paper presents methods for spline interpolation preserving the shape of the data (monotonicity and convexity) by using discrete weighted cubic splines.
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Refining cubic parametric B-splines

Computing, 2007
Cubic parametric B-splines are positive, compactly supported functions, introduced in the context of shape-preserving approximation of curves by \textit{P. Lamberti} and \textit{C. Manni} [Adv. Comput. Math. 20, No. 1--3, 105--127 (2004; Zbl 1054.41003)]. These functions are special parametric curves having piecewise cubic components.
Costantini P, MANNI, CARLA
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Generalized geometric cubic splines

Proceedings of CG International '96, 2002
A constructive approach has been adopted to build interpolatory and freeform cubic spline curves with a more general continuity than /spl beta/-continuity. This method provides not only a large variety of very interesting shape controls like biased, point and interval tensions but, as a special case, also recovers a number of spline methods like /spl ...
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Cubic splines on uniform meshes

Communications of the ACM, 1970
A very simple procedure is presented for constructing cubic splines, periodic or nonperiodic, on uniform meshes. Arcs of two cubics suffice to construct a basis of cardinal splines. An algorithm is given which requires only minimal storage and computation and permits easy trade-off of one against the other.
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Chordal Cubic Spline Quasi Interpolation

2012
This paper studies cubic spline quasi-interpolation of parametric curves through sequences of points in any space dimension. We show that if the parameter values are chosen by chord length, the order of accuracy is four. We also use this chordal cubic spline quasi interpolant to approximate the arc length derivatives and the length of the parametric ...
Paul Sablonnière, Driss Sbibih, Mohamed Tahrichi   +2 more
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Approximation by integro cubic splines

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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