.. _auto_curves_scale_by_curve_isoparametric:

*SCALE Y VALUES BY A SET OF CURVE*
==================================

Scales the Y values of one or more base curves by a reference scale curve using isoparametric interpolation. The scale factors are derived from the scale curve at digitized or critical-point intervals, then applied element-wise along the X axis of each base curve. Use this worker when you need spatially varying Y-axis scaling driven by a second curve.

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

Classification: **process**.

Tagged: ``curve_scaling``, ``curve_transform``, ``isoparametric``, ``scale``, ``transformations``, ``y_scale``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Base Curve
     - base_curves
     - vector
     - —
     - ✓
     - One or more input curves whose Y values will be scaled; accepts a vector (multi-curve) input — each curve is processed independently against the scale curve.
   * - Curve To Use For Scale
     - curvetousefor_scale
     - vector
     - —
     - ✓
     - The reference scale curve whose Y values define the spatially varying scale factors applied to the base curves; must share a compatible X range with the base curves.
   * - after_x
     - after_x
     - string
     - 0
     - 
     - X-axis threshold below which no scaling is applied; scaling begins only after this X value (default 0, meaning scaling applies from the start of the curve).
   * - Digitize Scale Curve
     - every
     - string
     - 10
     - 
     - Digitization interval for sampling the scale curve; set to a positive integer to sample every N points, or 0 to use only the critical points (peaks, valleys, endpoints) of the scale curve (default 10).
   * - Restrict To This Indexes
     - restrict_to
     - string
     - —
     - 
     - Optional list of base-curve indices (from the base_curves vector) to which scaling is restricted; leave empty to process all base curves.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - Scaled Curve
     - curve_scale_by_curve_output_1
     - vector
     - The resulting scaled curve(s) with Y values multiplied by the isoparametrically interpolated scale factors derived from the scale curve; same X coordinates as the input base curves.

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

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

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

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

.. raw:: html

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curves_scale_by_curve_isoparametric</code>. Schema hash: <code>9d9b7d62119c</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>