CurvatureCalculator::Quadric Class Reference

Public Member Functions
IGL_INLINE	Quadric ()
IGL_INLINE	Quadric (double av, double bv, double cv, double dv, double ev)
IGL_INLINE double &	a ()
IGL_INLINE double &	b ()
IGL_INLINE double &	c ()
IGL_INLINE double &	d ()
IGL_INLINE double &	e ()
IGL_INLINE double	evaluate (double u, double v)
IGL_INLINE double	du (double u, double v)
IGL_INLINE double	dv (double u, double v)
IGL_INLINE double	duv (double u, double v)
IGL_INLINE double	duu (double u, double v)
IGL_INLINE double	dvv (double u, double v)

Static Public Member Functions
static IGL_INLINE Quadric	fit (const std::vector< Eigen::Vector3d > &VV)

Public Attributes
double	data [5]

Detailed Description

Constructor & Destructor Documentation

Quadric() [1/2]

IGL_INLINE CurvatureCalculator::Quadric::Quadric ( )

inline

    {
      a() = b() = c() = d() = e() = 1.0;
    }

References a(), b(), c(), d(), and e().

Referenced by fit().

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Quadric() [2/2]

IGL_INLINE CurvatureCalculator::Quadric::Quadric ( double  av, double  bv, double  cv, double  dv, double  ev  )

inline

    {
      a() = av;
      b() = bv;
      c() = cv;
      d() = dv;
      e() = ev;
    }

References a(), b(), c(), d(), dv(), and e().

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Member Function Documentation

a()

IGL_INLINE double & CurvatureCalculator::Quadric::a ( )

inline

{ return data[0];}

References data.

Referenced by Quadric(), Quadric(), du(), duu(), evaluate(), and CurvatureCalculator::finalEigenStuff().

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b()

IGL_INLINE double & CurvatureCalculator::Quadric::b ( )

inline

{ return data[1];}

References data.

Referenced by Quadric(), Quadric(), du(), duv(), dv(), evaluate(), CurvatureCalculator::finalEigenStuff(), and fit().

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c()

IGL_INLINE double & CurvatureCalculator::Quadric::c ( )

inline

{ return data[2];}

References data.

Referenced by Quadric(), Quadric(), dv(), dvv(), evaluate(), CurvatureCalculator::finalEigenStuff(), and fit().

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d()

IGL_INLINE double & CurvatureCalculator::Quadric::d ( )

inline

{ return data[3];}

References data.

Referenced by Quadric(), Quadric(), du(), evaluate(), and CurvatureCalculator::finalEigenStuff().

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du()

IGL_INLINE double CurvatureCalculator::Quadric::du ( double  u, double  v  )

inline

    {
      return 2.0*a()*u + b()*v + d();
    }

References a(), b(), and d().

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duu()

IGL_INLINE double CurvatureCalculator::Quadric::duu ( double  u, double  v  )

inline

    {
      return 2.0*a();
    }

References a().

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duv()

IGL_INLINE double CurvatureCalculator::Quadric::duv ( double  u, double  v  )

inline

    {
      return b();
    }

References b().

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dv()

IGL_INLINE double CurvatureCalculator::Quadric::dv ( double  u, double  v  )

inline

    {
      return 2.0*c()*v + b()*u + e();
    }

References b(), c(), and e().

Referenced by Quadric().

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dvv()

IGL_INLINE double CurvatureCalculator::Quadric::dvv ( double  u, double  v  )

inline

    {
      return 2.0*c();
    }

References c().

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e()

IGL_INLINE double & CurvatureCalculator::Quadric::e ( )

inline

{ return data[4];}

References data.

Referenced by Quadric(), Quadric(), dv(), evaluate(), and CurvatureCalculator::finalEigenStuff().

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evaluate()

IGL_INLINE double CurvatureCalculator::Quadric::evaluate ( double  u, double  v  )

inline

    {
      return a()*u*u + b()*u*v + c()*v*v + d()*u + e()*v;
    }

References a(), b(), c(), d(), and e().

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fit()

static IGL_INLINE Quadric CurvatureCalculator::Quadric::fit ( const std::vector< Eigen::Vector3d > &  VV )

inlinestatic

    {
      assert(VV.size() >= 5);
      if (VV.size() < 5)
      {
        std::cerr << "ASSERT FAILED! fit function requires at least 5 points: Only " << VV.size() << " were given." << std::endl;
        exit(0);
      }
 
      Eigen::MatrixXd A(VV.size(),5);
      Eigen::MatrixXd b(VV.size(),1);
      Eigen::MatrixXd sol(5,1);
 
      for(unsigned int c=0; c < VV.size(); ++c)
      {
        double u = VV[c][0];
        double v = VV[c][1];
        double n = VV[c][2];
 
        A(c,0) = u*u;
        A(c,1) = u*v;
        A(c,2) = v*v;
        A(c,3) = u;
        A(c,4) = v;
 
        b(c) = n;
      }
 
      sol=A.jacobiSvd(Eigen::ComputeThinU | Eigen::ComputeThinV).solve(b);
 
      return Quadric(sol(0),sol(1),sol(2),sol(3),sol(4));
    }

References Quadric(), b(), c(), Eigen::ComputeThinU, and Eigen::ComputeThinV.

Referenced by CurvatureCalculator::fitQuadric().

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Member Data Documentation

data

double CurvatureCalculator::Quadric::data[5]

Referenced by a(), b(), c(), d(), and e().

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The documentation for this class was generated from the following file:

• src/libigl/igl/principal_curvature.cpp