Title:	An automatic stopping criterion for nonlinear anisotropic diffusion
Authors:	Bustacara-Medina, César Flórez-Valencia, Leonardo
Citation:	Journal of WSCG. 2018, vol. 26, no. 1, p. 37-48.
Issue Date:	2019
Publisher:	Václav Skala - UNION Agency
Document type:	článek article
URI:	http://hdl.handle.net/11025/35552
ISSN:	1213-6964 (on-line) 1213-6972 (print) 1213-6980 (CD-ROM)
Keywords:	vyhlazování;kritéria pro zastavení;nelineární anizotropní difúze;detekce okraje
Keywords in different language:	smoothing;stopping criteria;nonlinear anisotropic diffusion;edge detection
Abstract in different language:	Nonlinear anisotropic diffusion (NAD) filtering is a procedure based on nonlinear evolution PDEs which seeks to improve images qualitatively by removing noise while preserving details and even enhancing edges. However, well-known implementations are sensitive to parameters which are necessarily tuned to sharpen a narrow range of edge slopes; otherwise, edges are either blurred or staircased [Kee2002]. One important parameter is the iterations number, for that reason, in this paper a stopping criterion to halt the diffusion process is proposed. To meet this goal, two stopping criteria were compared. The first is the stopping criterion proposed by Joao et. al. [Joã2016], which is based on the Mean Squared Error (MSE). The second is our proposed method based on the CIRR contrast measure. To this end, a comparative analysis of five diffusion methods is performed. Four of them are nonlinear anisotropic diffusion methods and the fifth is the Perona-Malik method. According to the tests performed, the number of iterations required by the smoothing algorithms using the proposed stopping criterion is lower.
Rights:	© Václav Skala - UNION Agency
Appears in Collections:	Volume 27, Number 1 (2019)

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