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The Regularized Spline (R-Spline) Method for Function Approximation
Computational Mathematics and Modeling, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitriev, V. I., Ingtem, J. G.
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A quadratic spline function generator
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1989A function generator is developed which purges digital-to-analog (D-A) conversion of phase distortions by replacing both the hold circuit and the analog low-pass filter. This generator implements interpolation of a discrete-time signal by a quadratic spline function which is a smooth piecewise polynomial. Fidelity in the amplitude characteristic of the
Kazuo Toraichi +2 more
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Image restoration by spline functions
Applied Optics, 1978Spline functions, because of their highly desirable interpolating and approximating characteristics, are used as a potential alternative to the conventional pulse approximation method in digital image processing. In space-invariant imaging systems, the object and point-spread function are represented by a class of spline functions called B-splines ...
M J, Peyrovian, A A, Sawchuk
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Extrema detection of bivariate spline functions
Applied Mathematics and Computation, 2007The problem of finding the extrema of a two-variable spline function \(x(s,t)\) of degree \(k\geq 3\), in a rectangle \(\mathcal{D}\subset \mathbb{R}^2\), is examined. In this respect, a method is developed which allows to detect the extrema of \(x(s,t)\) as well as of their derivatives.
Hiroyuki Kano +2 more
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Window functions represented by B-spline functions
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1989Characteristics of window functions provided by B-spline functions are analyzed in comparison to other known windows. For the same highest-sidelobe level, those windows have a mainlobe bandwidth between those of Gaussian and cos/sup a/ x windows are as good as those of cos/sup a/ x ones in the sidelobe falloff. >
Kazuo Toraichi +3 more
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Computing zeroes of spline functions
Computer Aided Geometric Design, 1989The interval Newton method \(X:=m-f(m)/f'(x),\) where m is the midpoint of the interval X and \(f'(X)\) is an interval that contains the set \(\{f'(x):\) \(x\in X\}\) is applied to the computation of all zeroes of a spline function f of one variable in a given interval.
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On the Computation of Nonlinear Spline Functions
SIAM Journal on Numerical Analysis, 1977A mathematical characterization of nonlinear interpolating spline curves is developed through a variational calculus approach, based on the Euler–Bernoulli large-deflection theory for the bending of thin beams or elastica. Algorithms previously proposed for computing discrete approximations of nonlinear interpolating splines are discussed and compared.
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Accounting for Seasonality with Spline Functions
The Review of Economics and Statistics, 1980Truncated Normal," Econometrica 42 (Nov. 1974), 999-1011. Dagenais, Marcel, "Application of a Threshold Regression Model to Household Purchases of Automobiles," this REVIEW 57 (Aug. 1975), 275-285. Goldfeld, Stephen, and Richard Quandt, "Estimation in a Disequilibrium Model and the Value of Information," Journal of Econometrics 3 (1975), 325-348 ...
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On Functionals Dual to Minimal Splines
Journal of Mathematical Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multivariate Smoothing Spline Functions
SIAM Journal on Numerical Analysis, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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