2008
DOI: 10.1016/j.sigpro.2008.05.008
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Image smoothing and sharpening based on nonlinear diffusion equation

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Cited by 35 publications
(16 citation statements)
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“…Nonlinear image diffusion was first introduced by Prona and Malik [5]. On the basis of their study, numbers of non-linear diffusion filters have been proposed [6,7,8,9,10]. Most of these techniques are based on a scalar diffusivity which bound the diffusion flux always along the gradient direction.…”
Section: Introductionmentioning
confidence: 99%
“…Nonlinear image diffusion was first introduced by Prona and Malik [5]. On the basis of their study, numbers of non-linear diffusion filters have been proposed [6,7,8,9,10]. Most of these techniques are based on a scalar diffusivity which bound the diffusion flux always along the gradient direction.…”
Section: Introductionmentioning
confidence: 99%
“…In the process of evaluation, the image got enhanced ridge pattern, as shown in Fig. 1 The diffusion matric 11 12…”
Section: Coherence Enhanced Diffusionmentioning
confidence: 99%
“…An improved anisotropic diffusion was developed by Fang et al [22] which consists of two independent terms for smoothing of noisy background and sharpening of edge features. Yu et al [23] presented a kernal anisotropic diffusion incorporating a kernalized gradient operator |∇[Φf ]| in place of |∇f | in DCF in order to apply the diffusion process in small specified window of the pixels.…”
Section: Related Anisotropic Diffusion Meth-odsmentioning
confidence: 99%
“…Another important consideration while choosing z0 is to set the degrees of three input membership functions µ small (z0), µ medium (z 0 ) and µ large (z 0 ) as 0, 0.25 and 0.5 respectively as shown in Figure 3. Based on the above consideration, the optimal range of z0 which fulfils the need of desired degrees of membership functions is found to be [22,30]. We tested the diffusion result on 40% corrupted 'Lena' image by varying the values of z 0 ranging from 24 to 28 in terms of peak signal to noise ratio (PSNR) which shows the best PSNR performance at z0 = 27.…”
Section: Selection Of Z 0 and Tmentioning
confidence: 99%