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Subject: Re: [boost] Formal Review: Boost.Polygon starts today August 24, 2009
From: Maurizio Vitale (maurizio.vitale_at_[hidden])
Date: 20090902 11:47:15
>>>>> "Arash" == Arash Partow <arash_at_[hidden]> writes:
Arash> A convex hull is by definition, simply, a set of points. The
Arash> cardinality of such a set is infinite. From a geometers point
Arash> of view a hull is its own structure or entity and has its own
Arash> set of operations. Just because a couple of GIS applications
Arash> you've work with in the past seem to have a representation of
Arash> CHs that resemble a polygon doesn't mean that has to be the
Arash> case.
It seems to be more than a cople of GIS applications. For what it is
worth, from Wikipedia (http://en.wikipedia.org/wiki/Convex_hull):
In mathematics, the convex hull or convex envelope for a set of points X
in a real vector space V is the minimal convex set containing X.
In computational geometry, it is common to use the term "convex hull"
for the boundary of the minimal convex set containing a given nonempty
finite set of points in the plane. Unless the points are collinear, the
convex hull in this sense is a simple closed polygonal chain.
 Maurizio
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