Radially symmetric thin plate splines interpolating a circular contour map
Copyright policy )Radially symmetric thin plate splines interpolating a circular contour map
Profiles of radially symmetric thin plate spline surfaces minimizing the Beppo Levi energy over a compact annulus $R_{1}\leq r\leq R_{2}$ have been studied by Rabut via reproducing kernel methods. Motivated by our recent construction of Beppo Levi polyspline surfaces, we focus here on minimizing the radial energy over the full semi-axis $0
new figures and sub-sections; new Proposition 1 replacing old Corollary 1; shorter proof of Theorem 4; one new reference
- Kuwait University Kuwait
thin plate spline, approximation order, 41A05, 41A15, 41A63, 65D07, Multidimensional problems, Numerical Analysis (math.NA), radially symmetric function, Numerical computation using splines, Beppo Levi polyspline, Spline approximation, \(L\)-spline, FOS: Mathematics, Mathematics - Numerical Analysis, Interpolation in approximation theory
thin plate spline, approximation order, 41A05, 41A15, 41A63, 65D07, Multidimensional problems, Numerical Analysis (math.NA), radially symmetric function, Numerical computation using splines, Beppo Levi polyspline, Spline approximation, \(L\)-spline, FOS: Mathematics, Mathematics - Numerical Analysis, Interpolation in approximation theory
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