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 S 1. Applications to color analysis are discussed and numerical experiments demonstrate again the power of this framework for non-trivial geometries in image processing.
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© 2001 Springer-Verlag Berlin Heidelberg
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Kimmel, R., Sochen, N. (2001). Using Beltrami Framework for Orientation Diffusion in Image Processing. In: Arcelli, C., Cordella, L.P., di Baja, G.S. (eds) Visual Form 2001. IWVF 2001. Lecture Notes in Computer Science, vol 2059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45129-3_31
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DOI: https://doi.org/10.1007/3-540-45129-3_31
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