:orphan:

.. _gallery:

Examples Gallery
===========================




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


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    <div class="sphx-glr-thumbcontainer" tooltip=" Demonstrates how to create sparse model vectors with small number of non-zero entries sampled ...">

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  .. image:: /gallery/images/thumb/sphx_glr_sparse_vector_normals_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_sparse_vector_normals.py`

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      <div class="sphx-glr-thumbnail-title">A sparse model vector generator</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="A Blocks signal as proposed by Donoho et al. in Wavelab buckheit1995wavelab is a concatenation ...">

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  .. image:: /gallery/images/thumb/sphx_glr_0002_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0002.py`

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      <div class="sphx-glr-thumbnail-title">Blocks Signal in Haar Basis</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="The Complex Sinusoids+Spikes signal in this example consists of a mixture of 3 different comple...">

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  .. image:: /gallery/images/thumb/sphx_glr_0004_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0004.py`

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      <div class="sphx-glr-thumbnail-title">Complex Sinusoids+Complex-Spikes in Dirac-Fourier Basis</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="The Cosine+Spikes signal in this example consists of a mixture of 3 different cosine waves with...">

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  .. image:: /gallery/images/thumb/sphx_glr_0003_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0003.py`

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      <div class="sphx-glr-thumbnail-title">Cosine+Spikes in Dirac-Cosine Basis</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this example we have">

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  .. image:: /gallery/images/thumb/sphx_glr_0005_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0005.py`

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      <div class="sphx-glr-thumbnail-title">Cosine+Spikes, Dirac-Cosine Basis, Gaussian Measurements</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="A Grassmannian (real) frame \Phi is an m \times n matrix (dictionary) with unit norm columns su...">

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  .. image:: /gallery/images/thumb/sphx_glr_grass_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_grass.py`

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      <div class="sphx-glr-thumbnail-title">Grassmannian Frames</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="A HeaviSine signal as proposed by Donoho et al. in Wavelab buckheit1995wavelab is a sign wave w...">

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  .. image:: /gallery/images/thumb/sphx_glr_0001_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0001.py`

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      <div class="sphx-glr-thumbnail-title">HeaviSine Signal in Fourier-HeaviSide Basis</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this example we have">

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  .. image:: /gallery/images/thumb/sphx_glr_0006_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0006.py`

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      <div class="sphx-glr-thumbnail-title">Piecewise Cubic, Daubechies Basis, Gaussian Measurements</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this example we have">

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  .. image:: /gallery/images/thumb/sphx_glr_0007_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0007.py`

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      <div class="sphx-glr-thumbnail-title">Signed Spikes, Gaussian Measurements</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip=" In audio signal processing, source separation is the process of isolating individual sounds in...">

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  .. image:: /gallery/images/thumb/sphx_glr_0401_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0401.py`

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      <div class="sphx-glr-thumbnail-title">Source Separation I</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /gallery/sparse_vector_normals
   /gallery/0002
   /gallery/0004
   /gallery/0003
   /gallery/0005
   /gallery/grass
   /gallery/0001
   /gallery/0006
   /gallery/0007
   /gallery/0401


Linear Operators
-----------------------------------------------



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


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    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates how to construct a linear operator from an ordinary matrix.">

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  .. image:: /gallery/0100_lop/images/thumb/sphx_glr_matrix_operator_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0100_lop_matrix_operator.py`

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      <div class="sphx-glr-thumbnail-title">A matrix backed linear operator</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Compressive Sensing Operators">

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  .. image:: /gallery/0100_lop/images/thumb/sphx_glr_cs_operators_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0100_lop_cs_operators.py`

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      <div class="sphx-glr-thumbnail-title">Compressive Sensing Operators</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates following features:">

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  .. image:: /gallery/0100_lop/images/thumb/sphx_glr_deconvolution_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0100_lop_deconvolution.py`

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      <div class="sphx-glr-thumbnail-title">Deconvolution</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates following features:">

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  .. image:: /gallery/0100_lop/images/thumb/sphx_glr_deblurring_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0100_lop_deblurring.py`

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      <div class="sphx-glr-thumbnail-title">Image Deblurring</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates following features:">

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  .. image:: /gallery/0100_lop/images/thumb/sphx_glr_wt_op_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0100_lop_wt_op.py`

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      <div class="sphx-glr-thumbnail-title">Wavelet Transform Operators</div>
    </div>


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    </div>


Compressive Sensing
-----------------------------------



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


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    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates following features - Making 1-bit quantized compressive measurements ...">

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  .. image:: /gallery/0200_cs/images/thumb/sphx_glr_cs1bit_biht_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0200_cs_cs1bit_biht.py`

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      <div class="sphx-glr-thumbnail-title">1 bit Compressive Sensing</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this example, we demonstrate the BSBL (Block Sparse Bayesian Learning) algorithm zhang2012re...">

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  .. image:: /gallery/0200_cs/images/thumb/sphx_glr_bsbl_1_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0200_cs_bsbl_1.py`

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      <div class="sphx-glr-thumbnail-title">Block Sparse Bayesian Learning</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example explains the step by step development of  CoSaMP (Compressive Sensing Matching Pur...">

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  .. image:: /gallery/0200_cs/images/thumb/sphx_glr_cosamp_step_by_step_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0200_cs_cosamp_step_by_step.py`

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      <div class="sphx-glr-thumbnail-title">CoSaMP step by step</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this example, we demonstrate the compressive sensing of ECG data and reconstruction using Bl...">

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  .. image:: /gallery/0200_cs/images/thumb/sphx_glr_ecg_cs_bsbl_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0200_cs_ecg_cs_bsbl.py`

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      <div class="sphx-glr-thumbnail-title">ECG Data Compressive Sensing</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This is a very simple example of using the matching pursuit algorithm.">

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  .. image:: /gallery/0200_cs/images/thumb/sphx_glr_matching_pursuit_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0200_cs_matching_pursuit.py`

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      <div class="sphx-glr-thumbnail-title">Matching Pursuit</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip=" A (random) sparse binary sensing matrix has a very simple design. Assume that the signal space...">

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  .. image:: /gallery/0200_cs/images/thumb/sphx_glr_sparse_binary_sensor_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0200_cs_sparse_binary_sensor.py`

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      <div class="sphx-glr-thumbnail-title">Sparse Binary Sensing Matrices</div>
    </div>


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    </div>


Convex Relaxation Techniques
-----------------------------------------------




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


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    <div class="sphx-glr-thumbcontainer" tooltip="This is a simple example of using the FOcal Underdetermined System Solver (FOCUSS).">

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  .. image:: /gallery/0300_cvx/images/thumb/sphx_glr_focuss_1_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0300_cvx_focuss_1.py`

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      <div class="sphx-glr-thumbnail-title">FOcal Underdetermined System Solver (FOCUSS)</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example has following features:">

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  .. image:: /gallery/0300_cvx/images/thumb/sphx_glr_partial_wh_sensor_cosine_basis_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0300_cvx_partial_wh_sensor_cosine_basis.py`

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      <div class="sphx-glr-thumbnail-title">Random Orthogonal Measurements, Cosine Basis, ADMM</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example has following features:">

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  .. image:: /gallery/0300_cvx/images/thumb/sphx_glr_spikes_l1ls_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_0300_cvx_spikes_l1ls.py`

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      <div class="sphx-glr-thumbnail-title">Recovering spikes via TNIPM</div>
    </div>


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    </div>


Data Clustering
------------------------



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


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    <div class="sphx-glr-thumbcontainer" tooltip="CR-Sparse includes a K-means implementation as part of its sparse subspace clustering module.">

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  .. image:: /gallery/2000_cluster/images/thumb/sphx_glr_kmeans_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_2000_cluster_kmeans.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">K-means Clustering</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates the sparse subspace clustering algorithm via orthogonal matching purs...">

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  .. image:: /gallery/2000_cluster/images/thumb/sphx_glr_ssc_omp_thumb.png
    :alt:

  :ref:`sphx_glr_gallery_2000_cluster_ssc_omp.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Sparse Subspace Clustering - OMP</div>
    </div>


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    </div>


.. toctree::
   :hidden:
   :includehidden:


   /gallery/0100_lop/index.rst
   /gallery/0200_cs/index.rst
   /gallery/0300_cvx/index.rst
   /gallery/2000_cluster/index.rst



.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_