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Monotonic Cubic Spline Interpolation
 Proceedings of Computer Graphics International
, 1999
"... This paper describes the use of cubic splines for interpolating monotonic data sets. Interpolating cubic splines are popular for fitting data because they use loworder polynomials and have C 2 continuity, a property that permits them to satisfy a desirable smoothness constraint. Unfortunately, th ..."
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Cited by 13 (0 self)
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This paper describes the use of cubic splines for interpolating monotonic data sets. Interpolating cubic splines are popular for fitting data because they use loworder polynomials and have C 2 continuity, a property that permits them to satisfy a desirable smoothness constraint. Unfortunately
Cubic Spline Interpolation
"... . An introduction into the theory and application of cubic splines with accompanying Matlab mfile cspline.m Introduction Real world numerical data is usually difficult to analyze. Any function which would effectively correlate the data would be difficult to obtain and highly unwieldy. To this end ..."
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Cited by 7 (0 self)
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and cumulative change over an interval. In this brief introduction, we will only discuss splines which interpolate equally spaced data points, although a more robust form could encompass unequally spaced points. Theory The fundamental idea behind cubic spline interpolation is based on the engineer's tool
On a Generalization of Cubic Spline Interpolation
"... Abstract—Based on analysis of basic cubic spline interpolation, the clamped cubic spline interpolation is generalized in this paper. The methods are presented on the condition that the first derivative and second derivative of arbitrary node are given. The Clamped spline and Curvatureadjusted cubic ..."
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Abstract—Based on analysis of basic cubic spline interpolation, the clamped cubic spline interpolation is generalized in this paper. The methods are presented on the condition that the first derivative and second derivative of arbitrary node are given. The Clamped spline and Curvature
Particle Swarm Algorithm for the Shortest Cubic Spline Interpolation
"... Abstract—The spline technology has applications in CAD, CAM, and computer graphics systems. Based on analysis of cubic spline interpolation, the problem of the shortest cubic spline interpolation is discussed in this paper. Furthermore, the particle swarm algorithm for this problem is presented. At ..."
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Abstract—The spline technology has applications in CAD, CAM, and computer graphics systems. Based on analysis of cubic spline interpolation, the problem of the shortest cubic spline interpolation is discussed in this paper. Furthermore, the particle swarm algorithm for this problem is presented
End Conditionsfor Cubic Spline Interpolation
, 1978
"... A class of end conditions is derived for cubic spline interpolation at equally spaced knots. These conditions are in terms of function values at the knots and give rise to O(h*) spline approximations. 1. ..."
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A class of end conditions is derived for cubic spline interpolation at equally spaced knots. These conditions are in terms of function values at the knots and give rise to O(h*) spline approximations. 1.
Cubic Spline Interpolation of Harmonic Functions
 BIT
, 1974
"... It is shown that for the two dimensional Laplace equation a univariate cubic spline approximation in either space direction together with a difference approximation in the other leads to the wellknown ninepoint finitedifference formula. For harmonic problems defined in rectangular regions this pr ..."
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Cited by 2 (0 self)
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It is shown that for the two dimensional Laplace equation a univariate cubic spline approximation in either space direction together with a difference approximation in the other leads to the wellknown ninepoint finitedifference formula. For harmonic problems defined in rectangular regions
Chordal cubic spline interpolation is fourth order accurate
 IMA J. Numer. Anal
"... It is well known that complete cubic spline interpolation of functions with four continuous derivatives is fourthorder accurate. In this paper we show that this kind of interpolation, when used to construct parametric spline curves through sequences of points in any space dimension, is again fourt ..."
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Cited by 11 (6 self)
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It is well known that complete cubic spline interpolation of functions with four continuous derivatives is fourthorder accurate. In this paper we show that this kind of interpolation, when used to construct parametric spline curves through sequences of points in any space dimension, is again
On a New Cubic Spline Interpolation with Application to Quadrature
, 2010
"... Abstract This paper presents a formulation and a study of an interpolatory cubic spline which is new and akin to the Subbotin quadratic spline. This new cubic spline interpolates at the first and last knots and at the two points located at trisections between the knots. Application of the proposed ..."
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Abstract This paper presents a formulation and a study of an interpolatory cubic spline which is new and akin to the Subbotin quadratic spline. This new cubic spline interpolates at the first and last knots and at the two points located at trisections between the knots. Application of the proposed
An EnergyMinimization Framework for Monotonic Cubic Spline Interpolation
 Journal of Computational and Applied Mathematics
, 2002
"... This paper describes the use of cubic splines for interpolating monotonic data sets. Interpolating cubic splines are popular for fitting data because they use loworder polynomials and have C² continuity, a property that permits them to satisfy a desirable smoothness constraint. Unfortunate ..."
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Cited by 4 (0 self)
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This paper describes the use of cubic splines for interpolating monotonic data sets. Interpolating cubic splines are popular for fitting data because they use loworder polynomials and have C² continuity, a property that permits them to satisfy a desirable smoothness constraint
Estimating Lorenz Curve of Income in China by Cubic Spline Interpolation
"... ABSTRACT In this paper, we use a kind of cubicsplineinterpolation to approximate the Lorenz curves of urban and rural area in China, respectively. ..."
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ABSTRACT In this paper, we use a kind of cubicsplineinterpolation to approximate the Lorenz curves of urban and rural area in China, respectively.
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