TY - JOUR
T1 - An automatic stopping criterion for nonlinear anisotropic diffusion
AU - Bustacara-Medina, César
AU - Flórez-Valencia, Leonardo
N1 - Publisher Copyright:
© 2019, Vaclav Skala Union Agency. All rights reserved.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
KW - Edge detection
KW - Nonlinear anisotropic diffusion
KW - Smoothing
KW - Stopping criteria
UR - http://www.scopus.com/inward/record.url?scp=85074647136&partnerID=8YFLogxK
U2 - 10.24132/JWSCG.2019.27.1.5
DO - 10.24132/JWSCG.2019.27.1.5
M3 - Article
AN - SCOPUS:85074647136
SN - 1213-6972
VL - 27
SP - 37
EP - 48
JO - Journal of WSCG
JF - Journal of WSCG
IS - 1
ER -