.. _sphx_glr_auto_examples_04_listmode_algorithms:

Emission tomography reconstruction algorithms (listmode data)
-------------------------------------------------------------

The same families of algorithms as the sinogram gallery, but operating directly
on listmode (event-by-event) data through the listmode projector: listmode
MLEM / OSEM / SVRG, stochastic-gradient variants, and listmode SPDHG.  Listmode
is the natural choice for sparse, high-resolution (e.g. TOF) data.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates how to run MLEM, OSEM, and SVRG using listmode (event-by-event) data, and compares all algorithms with their sinogram equivalents via a convergence plot of the negative Poisson log-likelihood.">

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  .. image:: /auto_examples/04_listmode_algorithms/images/thumb/sphx_glr_00_run_listmode_mlem_osem_svrg_thumb.png
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  :doc:`/auto_examples/04_listmode_algorithms/00_run_listmode_mlem_osem_svrg`

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      <div class="sphx-glr-thumbnail-title">Listmode MLEM, OSEM, and SVRG</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example compares sinogram and listmode variants of SGD and SVRG for minimising the regularised negative Poisson log-likelihood">

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  .. image:: /auto_examples/04_listmode_algorithms/images/thumb/sphx_glr_01_run_listmode_sgd_svrg_thumb.png
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  :doc:`/auto_examples/04_listmode_algorithms/01_run_listmode_sgd_svrg`

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      <div class="sphx-glr-thumbnail-title">Convergence comparison: SGD vs SVRG with regularization (sinogram and listmode)</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates the use of the primal dual hybrid gradient (PDHG) algorithm, the listmode stochastic PDHG (LM-SPDHG) to minimize the negative Poisson log-likelihood function combined with a total variation regularizer:">

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  .. image:: /auto_examples/04_listmode_algorithms/images/thumb/sphx_glr_02_lm_spdhg_thumb.png
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  :doc:`/auto_examples/04_listmode_algorithms/02_lm_spdhg`

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      <div class="sphx-glr-thumbnail-title">PDHG and LM-SPDHG to optimize the Poisson logL and total variation</div>
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.. toctree::
   :hidden:

   /auto_examples/04_listmode_algorithms/00_run_listmode_mlem_osem_svrg
   /auto_examples/04_listmode_algorithms/01_run_listmode_sgd_svrg
   /auto_examples/04_listmode_algorithms/02_lm_spdhg