Mathis Ortmann

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math.NA2024

On Quasi-Interpolation and their associated shift-invariant space using a new class of generalized Thin Plate Splines and Inverse Multiquadrics

Mathis Ortmann, Martin Buhmann

A new generalization of shifted thin plate splines $φ (x) = (c^{2 d} + ∣∣ x ∣ ∣^{2 d}) lo g (c^{2 d} + ∣∣ x ∣ ∣^{2 d}), x \in R^{n}, d \in N, c > 0$ is presented to incr…

math.NA2023

High Accuracy Quasi-Interpolation using a new class of generalized Multiquadrics

Mathis Ortmann, Martin Buhmann

A new generalization of multiquadric functions $ϕ (x) = c^{2 d} + ∣∣ x ∣ ∣^{2 d}$ , where $x \in R^{n}$ , $c \in R$ , $d \in N$ , is presented to increase the accurac…