On Shape Preserving Quadratic Spline Interpolation
From MaRDI portal
Publication:3670429
DOI10.1137/0720057zbMath0521.65009OpenAlexW2041791633MaRDI QIDQ3670429
Publication date: 1983
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1969.1/180184
Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Spline approximation (41A15)
Related Items (only showing first 100 items - show all)
A shape-preserving spline interpolation for sampling designs from inverse distributions ⋮ Trigonometric Hermite interpolation method for Fredholm linear integral equations ⋮ Two-dimensional EMD with shape-preserving spline interpolation ⋮ Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation ⋮ Data visualization using rational spline interpolation ⋮ A one-pass algorithm for shape-preserving quadratic spline interpolation ⋮ Powell-Sabin splines in range restricted interpolation of scattered data ⋮ Interpolation by a local taut cubic piecewise polynomial ⋮ Admissible slopes for monotone and convex interpolation ⋮ Shape-preserving polynomial interpolation scheme ⋮ Positive quartic, monotone quintic \(C^ 2\)-spline interpolation in one and two dimensions ⋮ LINEAR FUNCTIONS OF UNIFORM ORDER STATISTICS AND B-SPLINES ⋮ An algorithm for convexity-preserving surface interpolation ⋮ Coefficient estimation for 2D-spline equation, in order to correlate the supercritical rapid expansion process data points ⋮ On the numerical approximation of the rotation number ⋮ Shape-preserving knot removal ⋮ A smoothing stochastic simulated annealing method for localized shapes approximation ⋮ \(C^1\) sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree ⋮ An algorithm for computing shape-preserving interpolating splines of arbitrary degree ⋮ Bézier curves of positive curvature ⋮ Staircase algorithm and construction of convex spline interpolants up to the continuity \(C^3\) ⋮ Convex interpolating splines of arbitrary degree. III ⋮ Interpolation in a derivative strip ⋮ Comonotone shape-preserving spline histopolation ⋮ Shape-preserving dynamic programming ⋮ Shape preserving approximations by polynomials and splines ⋮ A shape preserving interpolant with tension controls ⋮ Shape preserving curves using quadratic trigonometric splines ⋮ \(C^ 1\) comonotone Hermite interpolation via parametric cubics ⋮ Fair upper bounds for the curvature in univariate convex interpolation ⋮ Constructive methods in convex \(C^ 2\) interpolation using quartic splines ⋮ A Hermite interpolatory subdivision scheme constructed from quadratic rational Bernstein-Bezier spline ⋮ Dynamic programming with shape-preserving rational spline Hermite interpolation ⋮ On univariate function identification problems ⋮ Point control of rational interpolating curves using parameters ⋮ A new family of convex splines for data interpolation ⋮ Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations ⋮ Analytic monotone pseudospectral interpolation ⋮ Convexity preserving scattered data interpolation using Powell-Sabin elements ⋮ Matrix-valued 4-point spline and 3-point non-spline interpolatory curve subdivision schemes ⋮ Cubic polynomial and cubic rational \(C^1\) sign, monotonicity and convexity preserving Hermite interpolation ⋮ On Kolmogorov's representation of functions of several variables by functions of one variable ⋮ Shape preserving rational [3/2 Hermite interpolatory subdivision scheme] ⋮ Shape-preserving piecewise rational interpolant with quartic numerator and quadratic denominator ⋮ Local convexity shape-preserving data visualization by spline function ⋮ Constrained fractal interpolation functions with variable scaling ⋮ Empirical mode decomposition with shape-preserving spline interpolation ⋮ \(C^{1}\) monotone cubic Hermite interpolant ⋮ Monotone and convex interpolation by weighted quadratic splines ⋮ Constrained control and approximation properties of a rational interpolating curve. ⋮ The EH interpolation spline and its approximation ⋮ A novel generalization of Bézier curve and surface ⋮ Interpolation and approximation by monotone cubic splines ⋮ Computation of Hermite interpolation in terms of B-spline basis using polar forms ⋮ A new basis for osculatory interpolation problems and applications ⋮ Shape-preserving \(C^1\) Hermite interpolants generated by a Gori-Pitolli subdivision scheme ⋮ Convexity and monotonicity properties of the local integro cubic spline ⋮ On an \(n\)-dimensional quadratic spline approximation ⋮ On the choice of parameters in shape-preserving quadratic spline interpolation ⋮ A rational iterated function system for resolution of univariate constrained interpolation ⋮ Multivariate epi-splines and evolving function identification problems ⋮ Dual Bézier curves and convexity preserving interpolation ⋮ Shape preserving rational cubic fractal interpolation function ⋮ A survey on univariate data interpolation and approximation by splines of given shape ⋮ Monotonicity preserving rational quadratic fractal interpolation functions ⋮ Monotone and convex interpolation by weighted cubic splines ⋮ Convexity preserving interpolation and Powell-Sabin elements ⋮ Construction of superconvergent quasi-interpolants using new normalized \(C^2\) cubic B-splines ⋮ A new \(C^2\) rational interpolation based on function values and constrained control of the interpolant curves ⋮ Approximation by shape preserving interpolation splines ⋮ Monotonicity preserving approximation of multivariate scattered data ⋮ A new approach for shape preserving interpolating curves ⋮ Shape preservation of scientific data through rational fractal splines ⋮ Shape preserving splines in constructing WOWA operators: Comment on paper by V. Torra ⋮ Monotone piecewise rational cubic interpolation ⋮ A novel approach to the convexity control of interpolant curves ⋮ Model-free stochastic collocation for an arbitrage-free implied volatility. I. ⋮ Rational iterated function system for positive/monotonic shape preservation ⋮ Unnamed Item ⋮ Shape preserving interpolation by quadratic splines ⋮ Circular Bernstein-Bézier spline approximation with knot removal ⋮ Scattered data interpolation subject to piecewise quadratic range restrictions ⋮ A novel construction of B-spline-like bases for a family of many knot spline spaces and their application to quasi-interpolation ⋮ Monotone interpolation of scattered data in \({\mathbb{R}}^ s\) ⋮ Error analysis for piecewise quadratic curve fitting algorithms ⋮ A new approach to deal with \(C^2\) cubic splines and its application to super-convergent quasi-interpolation ⋮ A general parametric framework for functional tension schemes ⋮ Parallel bucket sorting on graphics processing units based on convex optimization ⋮ On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming ⋮ Local shape control of the rational interpolation curves with quadratic denominator ⋮ Monotonicity preserving interpolatory subdivision schemes ⋮ Shape-preserving piecewise rational interpolation with higher order continuity ⋮ A new weighted rational cubic interpolation and its approximation ⋮ Approximation de contours convexes par des splines paramétrées périodiques convexes $C^1$, quadratiques ou cubiques ⋮ APPROXIMATE REASONING AND INTERPRETATION OF LABORATORY TESTS IN MEDICAL DIAGNOSTICS ⋮ Visualization of positive and convex data by a rational cubic spline interpolation ⋮ Convexity-preserving approximation by univariate cubic splines ⋮ Visual interpolation of data ⋮ Convexity-preserving interpolatory subdivision ⋮ A local algorithm for constructing non-negative cubic splines
This page was built for publication: On Shape Preserving Quadratic Spline Interpolation
