.. _sphx_glr_auto_examples_optimization:

Optimization
------------


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows how to use a standard TV prior for image deblurring. The problem writes as y = Ax + \epsilon where A is a convolutional operator and \epsilon is the realization of some Gaussian noise. The goal is to recover the original image x from the blurred and noisy image y. The TV prior is used to regularize the problem.">

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  .. image:: /auto_examples/optimization/images/thumb/sphx_glr_demo_TV_minimisation_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_optimization_demo_TV_minimisation.py`

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      <div class="sphx-glr-thumbnail-title">Image deblurring with Total-Variation (TV) prior</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows how to use a standard wavelet prior for image inpainting. The problem writes as y = Ax + \epsilon where A is a mask and \epsilon is the realization of some Gaussian noise. The goal is to recover the original image x from the blurred and noisy image y. The wavelet prior is used to regularize the problem.">

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  .. image:: /auto_examples/optimization/images/thumb/sphx_glr_demo_wavelet_prior_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_optimization_demo_wavelet_prior.py`

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      <div class="sphx-glr-thumbnail-title">Image inpainting with wavelet prior</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example shows how to use a 3D wavelet denoiser for denoising a 3D image. We first apply a standard soft-thresholding wavelet denoiser to a 3D brain MRI volume. We then extend the denoiser objective to a redundant dictionary of wavelet bases, which does not admit a closed-form solution. We solve the denoising problem using the Dykstra-like algorithm.">

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  .. image:: /auto_examples/optimization/images/thumb/sphx_glr_demo_3D_wavelets_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_optimization_demo_3D_wavelets.py`

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      <div class="sphx-glr-thumbnail-title">3D wavelet denoising</div>
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    </div>


.. toctree::
   :hidden:

   /auto_examples/optimization/demo_TV_minimisation
   /auto_examples/optimization/demo_wavelet_prior
   /auto_examples/optimization/demo_3D_wavelets