A unified inversion formula for the k -plane transform on constant curvature spaces using Wavelet-like transforms
Abstract
In this article, we derive a unified inversion formula for the k-dimensional totally geodesic Radon transform on simply connected spaces of constant curvature, namely Rn, Hn, and Sn. The unification of the formulae is motivated from the observation that the geometries of constant curvature spaces are interlinked. To obtain the unified inversion formula, we use wavelet-like transforms.
Fields of Study & Subjects
Mathematical Analysis and Transform Methods
Image and Signal Denoising Methods
Advanced Data Compression Techniques
Publication details
- Journal / source
- Integral Transforms and Special Functions
- Pages
- 1–20
- Publication date
- 8 January 2026
- Language
- EN