Template class for computing local properties of a 3D surface: point, first and second derivatives, tangent directions, normal, and curvature analysis (max, min, mean, Gaussian). More...

#include <GeomLProp_SLProps.hxx>

Public Member Functions
	GeomLProp_SLPropsBase (const SurfaceType &S, const double U, const double V, const int N, const double Resolution)
	Initializes the local properties of the surface for the parameter values (, <V>). The current point and the derivatives are computed at the same time, which allows an optimization of the computation time. <N> indicates the maximum number of derivations to be done (0, 1, or 2). For example, to compute only the tangent, N should be equal to 1. <Resolution> is the linear tolerance (it is used to test if a vector is null).

	GeomLProp_SLPropsBase (const SurfaceType &S, const int N, const double Resolution)
	idem as previous constructor but without setting the value of parameters and <V>.

	GeomLProp_SLPropsBase (const int N, const double Resolution)
	idem as previous constructor but without setting the value of parameters and <V> and the surface. the surface can have an empty constructor.

void	SetSurface (const SurfaceType &S)
	Initializes the local properties of the surface S for the new surface.

void	SetParameters (const double U, const double V)
	Initializes the local properties of the surface S for the new parameter values (, <V>).

const gp_Pnt &	Value () const
	Returns the point.

const gp_Vec &	D1U ()
	Returns the first U derivative. The derivative is computed if it has not been yet.

const gp_Vec &	D1V ()
	Returns the first V derivative. The derivative is computed if it has not been yet.

const gp_Vec &	D2U ()
	Returns the second U derivatives The derivative is computed if it has not been yet.

const gp_Vec &	D2V ()
	Returns the second V derivative. The derivative is computed if it has not been yet.

const gp_Vec &	DUV ()
	Returns the second UV cross-derivative. The derivative is computed if it has not been yet.

bool	IsTangentUDefined ()
	returns True if the U tangent is defined. For example, the tangent is not defined if the two first U derivatives are null.

void	TangentU (gp_Dir &D)
	Returns the tangent direction <D> on the iso-V.

bool	IsTangentVDefined ()
	returns if the V tangent is defined. For example, the tangent is not defined if the two first V derivatives are null.

void	TangentV (gp_Dir &D)
	Returns the tangent direction <D> on the iso-V.

bool	IsNormalDefined ()
	Tells if the normal is defined.

const gp_Dir &	Normal ()
	Returns the normal direction.

bool	IsCurvatureDefined ()
	returns True if the curvature is defined.

bool	IsUmbilic ()
	returns True if the point is umbilic (i.e. if the curvature is constant).

double	MaxCurvature ()
	Returns the maximum curvature.

double	MinCurvature ()
	Returns the minimum curvature.

void	CurvatureDirections (gp_Dir &MaxD, gp_Dir &MinD)
	Returns the direction of the maximum and minimum curvature <MaxD> and <MinD>

double	MeanCurvature ()
	Returns the mean curvature.

double	GaussianCurvature ()
	Returns the Gaussian curvature.

Detailed Description

template<typename SurfaceType, typename Access = LProp_SurfaceUtils::DirectAccess>
class GeomLProp_SLPropsBase< SurfaceType, Access >

Template class for computing local properties of a 3D surface: point, first and second derivatives, tangent directions, normal, and curvature analysis (max, min, mean, Gaussian).

Template Parameters

SurfaceType	the surface storage type (e.g. occ::handle<Geom_Surface>, BRepAdaptor_Surface, occ::handle<Adaptor3d_Surface>, HLRBRep_SurfacePtr)
Access	the access policy for evaluating surface derivatives