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Path center of mass #16889

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Path center of mass #16889

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5f8493b
correctly compute bounding box for path
brunobeltran Mar 17, 2020
5be375f
add function to compute (signed) area of path
brunobeltran Mar 20, 2020
caf0324
code to compute bezier segment / path lengths
brunobeltran Mar 23, 2020
23ae477
add function to get center of mass of path
brunobeltran Mar 21, 2020
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34 changes: 34 additions & 0 deletions doc/users/next_whats_new/2020-03-31-path-size-methods.rst
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Functions to compute a Path's size
----------------------------------

Various functions were added to `~.bezier.BezierSegment` and `~.path.Path` to
allow computation of the shape, size and area of a `~.path.Path` and its
composite Bezier curves.

In addition to the fixes below, `~.bezier.BezierSegment` has gained more
documentation and usability improvements, including properties that contain its
dimension, degree, control_points, and more.

Better interface for Path segment iteration
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`~.path.Path.iter_bezier` iterates through the `~.bezier.BezierSegment`'s that
make up the Path. This is much more useful typically than the existing
`~.path.Path.iter_segments` function, which returns the absolute minimum amount
of information possible to reconstruct the Path.

Fixed bug that computed a Path's Bbox incorrectly
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Historically, `~.path.Path.get_extents` has always simply returned the Bbox of
a curve's control points, instead of the Bbox of the curve itself. While this is
a correct upper bound for the path's extents, it can differ dramatically from
the Path's actual extents for non-linear Bezier curves.

Path area
~~~~~~~~~

A `~.path.Path.signed_area` method was added to compute the signed filled area
of a Path object analytically (i.e. without integration). This should be useful
for constructing Paths of a desired area.
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