#20877: Meta-ticket: Polyhedral complexes, piecewise functions of several
variables
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Reporter: mkoeppe | Owner:
Type: task | Status: new
Priority: major | Milestone: sage-7.3
Component: geometry | Resolution:
Keywords: piecewise | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by mkoeppe:
Old description:
> This meta-ticket will implement piecewise functions of several real
> variables.
> The pieces are polyhedral complexes (not necessarily triangulations) or
> more generally polyhedral dissections (i.e., not necessarily face-to-
> face).
> In my application, the functions will be piecewise linear, possibly
> discontinuous; but the implementation should be general enough for
> splines.
>
> Discussion welcome, in particular in regard to how this code should
> interact with the existing classes for abstract complexes (CW complexes)
> and `PointConfiguration`.
>
> - #20878: PointConfiguration: Add plot method
> - #20879: Expose PPL's Not-Necessarily-Closed Polyhedra using Sage
> Polyhedra
New description:
This meta-ticket will implement piecewise functions of several real
variables.
The pieces are polyhedral complexes (not necessarily triangulations) or
more generally polyhedral dissections (i.e., not necessarily face-to-
face).
In my application, the functions will be piecewise linear, possibly
discontinuous; but the implementation should be general enough for
splines.
Discussion welcome, in particular in regard to how this code should
interact with the existing classes for abstract complexes (CW complexes)
and `PointConfiguration`.
- #20878: `PointConfiguration`: Add `plot` method
- #20879: Expose PPL's Not-Necessarily-Closed Polyhedra using Sage
Polyhedra -- could play the same role as half-open intervals do in the
context of the new piecewise functions.
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Ticket URL: <https://trac.sagemath.org/ticket/20877#comment:2>
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