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Sea Ice Characterization Challenge Problems 
=============================================

Variables that arise in sea ice dynamics can be *discontinuous* in space and time,
are almost always *sparsely* observed, and often only indirectly to observable 
quantities, resulting in significant *uncertainty*.   Sea ice therefore provides a
natural application space for us to develop new mathematical techniques for 
characterizing "DSU" variables.   This package aims to formulation several prototypical
inverse problems related to sea ice dynamics and navigation.  These problems focus primarily
on characterizing sea ice thickness and provide a sequency with increasing in complexity
and realism.  


.. image:: _static/thickness_profile.png
  :width: 100%
  :alt: Alternative text


.. panels::
    :img-top-cls: pl-4 pr-4

    ---
    
    **Problem 1: Static Estimation**
    ^^^^^^^^^^^^^^^^^^^^^

    Static estimation of ice thickness.

    .. link-button:: source/descriptions/problem1.html
        :type: url
        :text: Learn more
        :classes: btn-secondary stretched-link

    ---
    
    **Problem 2: Lagrangian Mapping**
    ^^^^^^^^^^^^^^^^^^^^

    Ice thickness estimation in moving Lagrangian reference frame.

    .. link-button:: source/descriptions/problem2.html
        :type: url
        :text: Learn more
        :classes: btn-secondary stretched-link

    ---
    
    **Problem 3: Data Assimilation**
    ^^^^^^^^^^^^^^^^^^^^^^^^

    Sequential inference and data assimilation.

    .. link-button:: source/descriptions/problem3.html
        :type: url
        :text: Learn more
        :classes: btn-secondary stretched-link
        


Contents 
-------------

.. toctree::
   :maxdepth: 2

   source/descriptions/index.rst
   source/implementations/index.rst