Using Beltrami Framework for Orientation Diffusion in Image Processing

Authors:
Ron Kimmel;Nir A. Sochen
Affiliations:
-;-
Venue:
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Year:
2001

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Abstract

This paper addresses the problem of enhancement of noisy scalar and vector fields, when they are known to be constrained to a manifold. As an example, we address selective smoothing of orientation using the geometric Beltrami framework. The orientation vector field is represented accordingly as the embedding of a two dimensional surface in the spatial-feature manifold. Orientation diffusion is treated as a canonical example where the feature (orientation in this case) space is the unit circle S1. Applications to color analysis are discussed and numerical experiments demonstrate again the power of this framework for non-trivial geometries in image processing.