Frederic Schoppert

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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

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…

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.…