Fitting Monotone Surfaces to Scattered Data Using C1 Piecewise Cubics
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Publication:4337455
DOI10.1137/S0036142994268582zbMath0881.41010MaRDI QIDQ4337455
Publication date: 27 January 1998
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)
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Smooth bivariate shape-preserving cubic spline approximation ⋮ Nonnegative data interpolation by spherical splines ⋮ Shape-preserving knot removal ⋮ Visualization of data preserving monotonicity ⋮ A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations ⋮ A compressed primal-dual method for generating bivariate cubic \(L_{1}\) splines ⋮ Suitability of Parametric Shepard Interpolation for Nonrigid Image Registration ⋮ Fast \(L_1^kC^k\) polynomial spline interpolation algorithm with shape-preserving properties ⋮ \(C^{1}\) positivity preserving scattered data interpolation using rational Bernstein-Bézier triangular patch ⋮ \(C^{1}\) monotone cubic Hermite interpolant ⋮ Bivariate variational splines with monotonicity constraints ⋮ A geometric programming approach for bivariate cubic \(L_{1}\) splines ⋮ Monotonicity preserving approximation of multivariate scattered data ⋮ Shape-preserving, multiscale interpolation by bi- and multivariate cubic \(L_{1}\) splines ⋮ Shape-preserving rational interpolation scheme for regular surface data ⋮ Positivity and monotonicity preserving biquartic rational interpolation spline surface ⋮ Shape-preserving interpolation of irregular data by bivariate curvature-based cubic \(L_1\) splines in spherical coordinates ⋮ Weighted cubic and biharmonic splines
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