.. _auto_curves_median:

*MEDIAN OF ALL CURVES*
======================

Computes the element-wise median curve across a collection of input curves. Optionally synchronises all curves to a common x-axis before computation, and supports cylindrical-coordinate mode for directional data. Use this worker when you need a robust central-tendency summary that is less sensitive to outliers than the mean.

When to use
-----------

Classification: **process**.

Tagged: ``aggregation``, ``central_tendency``, ``curves``, ``cylindrical_coords``, ``median``, ``sync_x``.

Inputs
------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20 20 20

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curves
     - curves
     - vector
     - —
     - 
     - Collection of input curves (vector type, multi-select) over which the median is computed; supply two or more curves — leave empty only if curves are injected upstream.
   * - Sync X
     - sync_x
     - string
     - no
     - 
     - Whether to interpolate all curves onto a common x-axis before computing the median ('yes') or assume they already share identical x values ('no', default); set to 'yes' whenever curves have different x sampling.
   * - Use Cylindrical Coords
     - use_cylindrical_coord
     - string
     - no
     - 
     - Whether to transform curve coordinates into cylindrical space before computing the median ('yes') or operate in Cartesian space ('no', default); set to 'yes' for angular or directional signal data.

Outputs
-------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - curves_average_all_output_1
     - curves_average_all_output_1
     - vector
     - Single output curve representing the element-wise median of all input curves, returned on the synchronised (or original) x-axis in the same units as the inputs.

Disciplines
-----------

- data.curve.pair
- data.curve.transform
- data.statistics

Runnable example
----------------

A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: `/api/workflow/example?id=curves_median <https://www.d3view.com/api/workflow/example?id=curves_median>`_

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curves_median</code>. Schema hash: <code>ddc953ab9fe2</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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