PeronaMalikFilter
PeronaMalikFilter[image]
applies a Perona–Malik diffusion filter to image.
PeronaMalikFilter[image,t]
specifies the amount of diffusion time t to be applied.
PeronaMalikFilter[image,t,k]
uses a conductance parameter k.
PeronaMalikFilter[image,t,k,σ]
applies a Gaussian regularization of width σ to the image gradient in the conductance function.
Details
- Perona–Malik filtering is an inhomogeneous diffusion method typically used for smoothing images while preserving edges.
- PeronaMalikFilter works on 2D grayscale or multichannel images, operating on each channel separately.
- PeronaMalikFilter applies the diffusion equation to every image channel .
- The function of the σ-regularized gradient norm defines the conductance of the diffusion current. At edges where the gradient norm is large in comparison to k, diffusion is suppressed, thereby preserving edges.
- In PeronaMalikFilter[image,t], t parameterizes the evolution of the diffusion and thereby the spatial range of the filter.
- The conductance parameter k can take any positive value. The default value of k is Automatic, which assigns to k the 50% quantile of the gradient norm of image. If more than one channel is present, the gradient norm of the channel average is taken into account.
- The regularization parameter σ is the standard deviation of the Gaussian kernel , with which the image gradient is convolved. The σ-regularization makes the conductance term less susceptible to noise. If , a finite difference scheme is used to determine the gradient.
- PeronaMalikFilter[image] is equivalent to PeronaMalikFilter[image,1,Automatic,0].
Examples
open allclose allScope (3)
Applications (2)
Text
Wolfram Research (2010), PeronaMalikFilter, Wolfram Language function, https://reference.wolfram.com/language/ref/PeronaMalikFilter.html.
CMS
Wolfram Language. 2010. "PeronaMalikFilter." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/PeronaMalikFilter.html.
APA
Wolfram Language. (2010). PeronaMalikFilter. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/PeronaMalikFilter.html