On the Incorporation of Time-delay Regularization into Curvature-based Diffusion

Authors:
Yunmei Chen;Paromita Bose
Affiliations:
Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA. yun@math.ufl.edu;Department of Computer and Information Science and Engineering, University of Florida, Gainesville, FL 32611-6120, USA. pbose@cise.ufl.edu
Venue:
Journal of Mathematical Imaging and Vision
Year:
2001

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Abstract

A new anisotropic nonlinear diffusion model incorporating time-delay regularization into curvature-based diffusion is proposed for image restoration and edge detection. A detailed mathematical analysis of the proposed model in the form of the proof of existence, uniqueness and stability of the “viscosity” solution of the model is presented. Furthermore, implementation issues and computational methods for the proposed model are also discussed in detail. The results obtained from testing our denoising and edge detection algorithm on several synthetic and real images showed the effectiveness of the proposed model in prserving sharp edges and fine structures while removing noise.