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Title: Cross-Diffusion Systems for Image Processing: I. The Linear Case
Authors: Araújo, Adérito 
Barbeiro, Sílvia 
Cuesta, Eduardo 
Durán, Angel 
Issue Date: 2017
Publisher: Springer
Project: info:eu-repo/grantAgreement/FCT/5876/147205/PT 
Serial title, monograph or event: Journal of Mathematical Imaging and Vision
Volume: 58
Issue: 3
Abstract: The use of cross-diffusion problems as mathematical models of different image processes is investigated. Here the image is represented by two real-valued functions which evolve in a coupled way, generalizing the approaches based on real and complex diffusion. The present paper is concerned with linear filtering. First, based on principles of scale invariance, a scale-space axiomatic is built. Then, some properties of linear complex diffusion are generalized, with particular emphasis on the use of one of the components of the cross-diffusion problem for edge detection. The performance of the cross-diffusion approach is analysed by numerical means in some one- and two-dimensional examples.
Other Identifiers: 10.1007/s10851-017-0720-x
DOI: 10.1007/s10851-017-0720-x
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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