Frederic Schoppert

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math.CA2026

Polynomial curvelets on higher-dimensional spheres

Frederic Schoppert

In this article, we introduce and investigate polynomial curvelets on spheres, which form a class of Parseval frames for $L^{2} (S^{d - 1})$ , $d \geq 3$ . The proposed construct…

math.CA2026

Directional polynomial frames on spheres

Marzieh Hasannasab, Larissa Kaldewey, Frederic Schoppert

We introduce a general framework for the construction of polynomial frames in $L^{2} (S^{d - 1})$ , $d \geq 3$ , where the frame functions are obtained as rotated versions of an…

math.CA2025

Directional polynomial wavelets on spheres

Frederic Schoppert

In this article, we construct discrete tight frames for $L^{2} (S^{d - 1})$ , $d \geq 3$ , which consist of localized polynomial wavelets with adjustable degrees of directionality.…

math.CA2025

Edge detection with polynomial frames on the sphere

Frederic Schoppert

In a recent article, we have shown that a variety of localized polynomial frames, including isotropic as well as directional systems, are suitable for detecting jump discontinuitie…