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Two Interpolatory Cubic Splines
, 1972
"... The third order and the uniform cubic spline are defined and shown to have O(h3) and O(hA) convergence respectively when used for interpolation. 1. ..."
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The third order and the uniform cubic spline are defined and shown to have O(h3) and O(hA) convergence respectively when used for interpolation. 1.
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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. 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
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
On a Generalization of Cubic Spline Interpolation
"... Abstractâ€”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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Abstractâ€”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
Restricted Cubic Splines (Natural Splines)
"... In a restricted cubic spline model we introduce k knots on the xaxis located at . We select a model of the expected value of y given x that is "1 2, , , kt t t linear before and after . 1t kt consists of piecewise cubic polynomials between adjacent knots (i.e. of the form ..."
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In a restricted cubic spline model we introduce k knots on the xaxis located at . We select a model of the expected value of y given x that is "1 2, , , kt t t linear before and after . 1t kt consists of piecewise cubic polynomials between adjacent knots (i.e. of the form
Variational Subdivision for Natural Cubic Splines
 Approximation Theory IX
, 1998
"... This paper explores the intrinsic link between natural cubic splines and subdivision. Natural cubic splines are defined via the variational problem of minimizing a simple approximation of bending energy. A subdivision scheme is derived which converges to the minimizer of this particular variational ..."
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Cited by 3 (0 self)
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This paper explores the intrinsic link between natural cubic splines and subdivision. Natural cubic splines are defined via the variational problem of minimizing a simple approximation of bending energy. A subdivision scheme is derived which converges to the minimizer of this particular variational
Characteristics; Cubic Spline Curve
"... The geometric distortion of the pushbroom digital aerial imagery can be rectified according to the data of the inertial measurement unit (IMU). The low precision of IMU data will cause the undulant wavelike twist deformations of the pushbroom digital aerial images after geometric rectification, di ..."
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directions of the wave curves. The specific implement method can be described as follows: firstly, the edges of the image are detected with Canny edge detector and the vector contour lines are obtained by tracing the edges to get contour lines and fitting them with the cubic spline curve method. Then
A rational cubic spline with tension
 Computer Aided Geometric Design
, 1990
"... Abstract. A rational cubic spline curve is described which has tension control parameters for manipulating the shape of the curve. The spline is presented in both interpolatory and rational Bspline forms, and the behaviour of the resulting representations is analysed with respect to ..."
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Cited by 2 (0 self)
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Abstract. A rational cubic spline curve is described which has tension control parameters for manipulating the shape of the curve. The spline is presented in both interpolatory and rational Bspline forms, and the behaviour of the resulting representations is analysed with respect to
Approximation of Curves by Fairness Cubic Splines
, 2007
"... Abstract In this paper we present an approximation method of curves by a new type of spline functions called fairness cubic splines from a given Lagrangian data set under fairness constraints. An approximating problem of curves is obtained by minimizing a quadratic functional in a parametric space ..."
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Abstract In this paper we present an approximation method of curves by a new type of spline functions called fairness cubic splines from a given Lagrangian data set under fairness constraints. An approximating problem of curves is obtained by minimizing a quadratic functional in a parametric space
Results 1  10
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1,267