ParametricSurface Class Reference

Parametric surface patches. More...

#include <surface.h>

Public Member Functions
virtual Vector	Vertex (const double &, const double &) const
	Compute a point on the patch.
virtual Vector	Normal (const double &, const double &) const
	Compute the normal at a given point on the patch.
virtual void	Tangents (const double &, const double &, Vector &, Vector &) const
	Compute the partial derivatives at a given point on the patch.
virtual Mesh	GetMesh (int, int) const
	Create the mesh of the patch.
virtual double	Gaussian (const double &, const double &) const
	Compute the Gaussian curvature.

Protected Member Functions
void	FundamentalForms (const double &, const double &, Vector &, Vector &) const
	Compute the first and second fundamental forms.

Static Protected Attributes
static const double	Epsilon = 1.0e-6
	Epsilon for derivatives.

Detailed Description

Parametric surface patches.

Member Function Documentation

FundamentalForms()

void ParametricSurface::FundamentalForms ( const double & u, const double & v, Vector & efg, Vector & lmn ) const

protected

Compute the first and second fundamental forms.

Parameters

u,v	Coordinates.
efg,lmn	Fundamental forms compacted into two vectors

Gaussian()

double ParametricSurface::Gaussian ( const double & u, const double & v ) const

virtual

Compute the Gaussian curvature.

Parameters

u,v	Coordinates.

GetMesh()

Mesh ParametricSurface::GetMesh ( int nu, int nv ) const

virtual

Create the mesh of the patch.

Parameters

nu,nv

Subdivisons.

Normal()

Vector ParametricSurface::Normal ( const double & u, const double & v ) const

virtual

Compute the normal at a given point on the patch.

Parameters

u,v	Coordinates.

Tangents()

void ParametricSurface::Tangents ( const double & u, const double & v, Vector & tu, Vector & tv ) const

virtual

Compute the partial derivatives at a given point on the patch.

Parameters

u,v	Coordinates.
tu,tv	Tangent vectors, not normalized.

Vertex()

Vector ParametricSurface::Vertex ( const double & u, const double & v ) const

virtual

Compute a point on the patch.

Parameters

u,v	Coordinates.