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[Octave-bug-tracker] [bug #52416] about delaunay document


From: anonymous
Subject: [Octave-bug-tracker] [bug #52416] about delaunay document
Date: Wed, 15 Nov 2017 22:39:16 -0500 (EST)
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:52.0) Gecko/20100101 Firefox/52.0

URL:
  <http://savannah.gnu.org/bugs/?52416>

                 Summary: about delaunay document
                 Project: GNU Octave
            Submitted by: None
            Submitted on: Thu 16 Nov 2017 03:39:15 AM UTC
                Category: Documentation
                Severity: 3 - Normal
                Priority: 5 - Normal
              Item Group: Documentation
                  Status: None
             Assigned to: None
         Originator Name: 
        Originator Email: address@hidden
             Open/Closed: Open
         Discussion Lock: Any
                 Release: 4.2.1
        Operating System: Any

    _______________________________________________________

Details:

"help delaunay" says that

     For 2-D sets, the return value TRI is a set of triangles which
     satisfies the Delaunay circum-circle criterion, i.e., only a single
     data point from [X, Y] is within the circum-circle of the defining
     triangle.



     For 3-D sets, the return value TETR is a set of tetrahedrons which
     satisfies the Delaunay circum-circle criterion, i.e., only a single
     data point from [X, Y, Z] is within the circum-circle of the
     defining tetrahedron.


but from the result of "demo delaunay",
it seems that "only a single data point" should be changed to "no data
point".
<https://en.wikipedia.org/wiki/Delaunay_triangulation> also says that

In mathematics and computational geometry, a Delaunay triangulation for a
given set P of discrete points in a plane is a triangulation DT(P) such that
no point in P is inside the circumcircle of any triangle in DT(P).


I'm not very sure about this. Please check it carefully. Thanks maintainers.




    _______________________________________________________

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