Spin Geometry and Image Processing

We give a survey of applications of spin geometry to image processing. We mainly focus on the problem of defining geometric Fourier transforms for both grey-level and color images. The definitions we propose rely on a spin generalization of the usual notion of character. We consider three possibilities for the actions of these spin characters: by using the spinor representation of grey-level image surfaces; by considering grey-level and color images as sections of associated bundles built first with standard representations and then with spin representations. Examples of applications to low-pass filtering are presented.

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Source https://hal.science/hal-00801224
Author Berthier, Michel
Maintainer CCSD
Last Updated May 12, 2026, 15:01 (UTC)
Created May 12, 2026, 15:01 (UTC)
Identifier hal-00801224
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Mathématiques, Image et Applications (MIA) ; La Rochelle Université (ULR)
creator Berthier, Michel
date 2013-01-21T00:00:00
harvest_object_id 1fb15034-13d5-4dfe-84e8-cb651b33ada9
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-06-18T00:00:00
set_spec type:UNDEFINED