#12212: Colormap for implicit_plot3d and parametric_plot3d
-------------------------------------+-------------------------------------
       Reporter:  niles              |        Owner:  jason, was
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.3
      Component:  graphics           |   Resolution:
       Keywords:  colormap, plot     |    Merged in:
        Authors:  Joris              |    Reviewers:
  Vankerschaver                      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/chapoton/12212   |  a6e0d47d681d64a5d0c21cceb1a1f012fba29645
   Dependencies:                     |     Stopgaps:
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Comment (by niles):

 I've played with this a little bit now, and it seems reasonably fast in my
 simple tests.

 I realized that using an arbitrary scalar function (e.g. curvature) for
 the colormap only works for implicit surfaces, not parametrized surfaces.
 If I understand correctly, this is a fundamental limitation of this
 approach, because it applies colors only *after* the surface is
 constructed and therefore only has access to coordinates in 3-space, not
 the parametrization that was used to produce them.

 This is still more useful than what currently exists (i.e., nothing!), but
 perhaps it can be integrated into the surface construction methods in a
 way that works for both implicit and parametrized surfaces.

--
Ticket URL: <http://trac.sagemath.org/ticket/12212#comment:15>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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