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Typo fix.
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@@ -74,7 +74,7 @@ def wiener(data, psf, reg_val, reg=None, real=True):
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Returns
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-------
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im_deconv : (M, N) ndarray
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The deconvolued data
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The deconvolved data
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Examples
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--------
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@@ -94,7 +94,7 @@ def wiener(data, psf, reg_val, reg=None, real=True):
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.. math:: y = Hx + n
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where :math:`n is the noise`, :math:`H` the psf and :math:`x` the
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where :math:`n` is noise, :math:`H` the PSF and :math:`x` the
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unknown original image, the wiener filter is
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.. math:: \hat x = F^\dag (|\Lambda_H|^2 + \lambda |\Lambda_D|^2) \Lambda_H^\dag F y
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@@ -102,13 +102,18 @@ def wiener(data, psf, reg_val, reg=None, real=True):
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where :math:`F` and :math:`F^\dag` is the Fourier and inverse
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Fourier transfrom, :math:`\Lambda_H` the transfert function (or
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the Fourier transfrom of the PSF, see [2]) and :math:`\Lambda_D`
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the filter to penalized the restored image frequency (laplacian by
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default, that is penalization of high frequency). The parameter
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:math:`\lambda` tune the balance between the data (that tends to
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increase high frequency, even the noise), and the regularization.
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the filter to penalize the restored image frequencies (laplacian
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by default, that is penalization of high frequency). The parameter
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:math:`\lambda` tunes the balance between the data (that tends to
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increase high frequency, even those coming from noise), and the
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regularization.
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These methods are then specifique to a prior model that must be
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adequate. They could be refered to bayesian approaches.
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These methods are then specifique to a prior model that must match
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the application (smoothness by default). They could be refered to
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bayesian approaches.
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The use of Fourier space implies a circulant property of
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:math:`H`, see [2].
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References
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----------
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@@ -175,7 +180,7 @@ def unsupervised_wiener(data, psf, reg=None, user_params=None):
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Returns
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-------
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x_postmean : (M, N) ndarray
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The deconvolued data (the posterior mean)
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The deconvolved data (the posterior mean)
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chains : dict
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The keys 'noise' and 'prior' contains the chain list of noise and
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