Quadproj 2.0 is there!
======================

I could not sleep knowing that one of my thesis chapters was unfinished: the `quadproj <https://pypi.org/project/quadproj/>`_ library **1.x** can only help you projecting a point onto a non-cylindrical central quadrics. This seemed oddly too specific, and much reduced the usefulness of the tool to me.

I am therefore thrilled to announce the brand new version of quadproj **2.x** that can deal with any (nonlinear [#f1]_) quadric.

This includes strange animals such as the **elliptic cones**


.. image:: ../data/images/elliptic_cone.png
    :width: 600
    :align: center
    :alt: Elliptic cone

Or other **parabolic** quadrics, such as the *elliptic paraboloid*

.. image:: ../data/images/elliptic_paraboloid.png
    :width: 600
    :align: center
    :alt: HYperbolic paraboloid

And the *hyperbolic paraboloid* (with the projection in red of the initial point in black)


.. image:: ../data/images/hyperbolic_paraboloid.gif
    :align: center
    :alt: Hyperbolic paraboloid

Finally any cylindrical quadric is also covered, such as the *ellipsoid* **cylinder**

.. image:: ../data/images/ellipsoid_cylinder.png
    :align: center
    :alt: Ellipsoid cylinder

Hopefully, this would help anyone on the verge of projecting into hypersurfaces... Stay---and project---safe! Next step: accommodating `this paper <https://loicvh.eu/aca/abstracts/OJMO_2022.html>`_ to theoretically back up the projection in the parabolic, elliptic, and cylindrical case.

.. rubric:: Footnotes

.. [#f1] The linear case is trivial so this won't keep me awake at night...

.. rubric:: Posted on 2024-11-11