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Added qualityRadii: computes inradius /circumradius. 

(ok the name is ugly...)
This commit is contained in:
Federico Ponchio 2007-11-16 14:22:35 +00:00
parent 79067524eb
commit 030feec36a
1 changed files with 25 additions and 0 deletions
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25
vcg/space/triangle3.h
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@ -24,6 +24,9 @@
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$Log: not supported by cvs2svn $ $Log: not supported by cvs2svn $
Revision 1.16 2007/10/10 15:11:30 ponchio
Added Circumcenter function.
Revision 1.15 2007/05/10 09:31:15 cignoni Revision 1.15 2007/05/10 09:31:15 cignoni
Corrected InterpolationParameters invocation Corrected InterpolationParameters invocation
@ -263,6 +266,28 @@ P3ScalarType Quality( Point3<P3ScalarType> const &p0, Point3<P3ScalarType> const
return a/b; return a/b;
} }
/// Compute a shape quality measure of the triangle composed by points p0,p1,p2
/// It Returns inradius/circumradius
/// the range is range [0, 1]
/// e.g. Equilateral triangle 1, halfsquare: 1/2, ... up to a line that has zero quality.
template<class P3ScalarType>
P3ScalarType QualityRadii(Point3<P3ScalarType> const &p0,
Point3<P3ScalarType> const &p1
Point3<P3ScalarType> const &p2) {
P3ScalarType a=(p1-p0).Norm();
P3ScalarType b=(p2-p0).Norm();
P3ScalarType c=(p1-p2).Norm();
P3ScalarType sum = (a + b + c)*0.5;
P3ScalarType area2 = sum*(a+b-sum)*(a+c-sum)*(b+c-sum);
if(area2 <= 0) return 0;
//circumradius: (a*b*c)/(4*sqrt(area2))
//inradius: (a*b*c)/(4*circumradius*sum) => sqrt(area2)/sum;
return (4*area2)/(a*b*c*sum);
}
/// Returns the normal to the plane passing through p0,p1,p2 /// Returns the normal to the plane passing through p0,p1,p2
template<class TriangleType> template<class TriangleType>
Point3<typename TriangleType::ScalarType> Normal(const TriangleType &t) Point3<typename TriangleType::ScalarType> Normal(const TriangleType &t)