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Diffusion-Shock PDEs for Deep Learning on Position-Orientation Space

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We extend regularised diffusion-shock (RDS) filtering from Euclidean space R 2 (Schaefer and Weickert in J Math Imaging Vis 66:447-463, 2024. 10.1007/s10851-024-01175-0) to position-orientation space M 2 ≅ R 2 × S 1 . This has numerous advantag... ...