skimage 0.17.2

NotesParametersReturnsBackRef
denoise_tv_chambolle(image, weight=0.1, eps=0.0002, n_iter_max=200, multichannel=False)

Notes

Make sure to set the multichannel parameter appropriately for color images.

The principle of total variation denoising is explained in https://en.wikipedia.org/wiki/Total_variation_denoising

The principle of total variation denoising is to minimize the total variation of the image, which can be roughly described as the integral of the norm of the image gradient. Total variation denoising tends to produce "cartoon-like" images, that is, piecewise-constant images.

This code is an implementation of the algorithm of Rudin, Fatemi and Osher that was proposed by Chambolle in .

Parameters

image : ndarray of ints, uints or floats

Input data to be denoised. :None:None:`image` can be of any numeric type, but it is cast into an ndarray of floats for the computation of the denoised image.

weight : float, optional

Denoising weight. The greater :None:None:`weight`, the more denoising (at the expense of fidelity to :None:None:`input`).

eps : float, optional

Relative difference of the value of the cost function that determines the stop criterion. The algorithm stops when:

(E_(n-1) - E_n) < eps * E_0

n_iter_max : int, optional

Maximal number of iterations used for the optimization.

multichannel : bool, optional

Apply total-variation denoising separately for each channel. This option should be true for color images, otherwise the denoising is also applied in the channels dimension.

Returns

out : ndarray

Denoised image.

Perform total-variation denoising on n-dimensional images.

Examples

2D example on astronaut image:

This example is valid syntax, but we were not able to check execution
>>> from skimage import color, data
... img = color.rgb2gray(data.astronaut())[:50, :50]
... img += 0.5 * img.std() * np.random.randn(*img.shape)
... denoised_img = denoise_tv_chambolle(img, weight=60)

3D example on synthetic data:

This example is valid syntax, but we were not able to check execution
>>> x, y, z = np.ogrid[0:20, 0:20, 0:20]
... mask = (x - 22)**2 + (y - 20)**2 + (z - 17)**2 < 8**2
... mask = mask.astype(np.float)
... mask += 0.2*np.random.randn(*mask.shape)
... res = denoise_tv_chambolle(mask, weight=100)
See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

skimage.restoration._denoise.denoise_tv_chambolle

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