Kaskade::AngleFeatureDetector< Index, ctype, dim > Class Template Reference

Specifying geometric features in terms of angles between face normals and edge tangents. More...

#include <boundaryInterpolation.hh>

Detailed Description

template<class Index, class ctype, int dim>
class Kaskade::AngleFeatureDetector< Index, ctype, dim >

Specifying geometric features in terms of angles between face normals and edge tangents.

Definition at line 408 of file boundaryInterpolation.hh.

Inheritance diagram for Kaskade::AngleFeatureDetector< Index, ctype, dim >:

Public Types
using	Vector = Simplex::Vector< ctype, dim >

Public Member Functions
	AngleFeatureDetector (ctype featureCurveAngle=1.0, ctype featureEdgeAngle=0.5)
	Constructor. More...
virtual	~AngleFeatureDetector ()
virtual bool	isFeatureVertex (Index vidx, Vector const &t1, Vector const &t2, int bsid1, int bsid2) const
	Decides whether two boundary edges emanating from a joint vertex of a 2D domain are part of a smooth boundary curve or not. More...
virtual bool	isFeatureEdge (Index vidx, Vector const &n1, Vector const &n2, int bsid1, int bsid2) const
	Decides whether a boundary edge of a 3D domain is part of a smooth boundary patch or not. More...
virtual bool	isFeatureCurve (Index vidx, Vector const &t1, Vector const &t2) const
	Decides whether two feature boundary edges of a 3D domain meeting in a joint vertex are part of a smooth boundary curve or not. More...
virtual Vector	vertexNormal (Index vidx, Vector const &n) const
	Provides a surface normal at non-feature vertices (where no feature edge passes through). More...

Member Typedef Documentation

Vector

template<class Index , class ctype , int dim>

using Kaskade::AngleFeatureDetector< Index, ctype, dim >::Vector = Simplex::Vector<ctype,dim>

Definition at line 411 of file boundaryInterpolation.hh.

Constructor & Destructor Documentation

AngleFeatureDetector()

template<class Index , class ctype , int dim>

Kaskade::AngleFeatureDetector< Index, ctype, dim >::AngleFeatureDetector	(	ctype	featureCurveAngle = 1.0,
		ctype	featureEdgeAngle = 0.5
	)

Constructor.

Parameters

featureCurveAngle	the angle (in radians) between two edges (feature edges in 3D, boundary edges in 2D) that determines whether they form a differentiable feature curve. Defaults to roughly 57°.
featureEdgeAngle	the angle (in radians) between adjacent facets' normals that determines whether they share a feature edge or a normal ( \( G^1 \) continuous) edge. Defaults to roughly 29°. This is only of effect in 3D grids.

~AngleFeatureDetector()

template<class Index , class ctype , int dim>

virtual Kaskade::AngleFeatureDetector< Index, ctype, dim >::~AngleFeatureDetector ( )

inlinevirtual

Definition at line 424 of file boundaryInterpolation.hh.

Member Function Documentation

isFeatureCurve()

template<class Index , class ctype , int dim>

virtual bool Kaskade::AngleFeatureDetector< Index, ctype, dim >::isFeatureCurve ( Index  vidx, Vector const &  t1, Vector const &  t2  ) const

virtual

Decides whether two feature boundary edges of a 3D domain meeting in a joint vertex are part of a smooth boundary curve or not.

This method is called only when 3D domains are processed.

Parameters

the	vertex index in the level 0 coarse grid view
t1	tangent vector of first edge
t2	tangent vector of second edge

The tangent vectors are normalized and point away from the vertex. Thus, t1+t2==0 means they form a straight line.

Implements Kaskade::GeometricFeatureDetector< Index, ctype, dim >.

isFeatureEdge()

template<class Index , class ctype , int dim>

virtual bool Kaskade::AngleFeatureDetector< Index, ctype, dim >::isFeatureEdge ( Index  vidx, Vector const &  n1, Vector const &  n2, int  bsid1, int  bsid2  ) const

virtual

Decides whether a boundary edge of a 3D domain is part of a smooth boundary patch or not.

More precisely, it determines whether an edge-vertex incidence is a feature "edge". Edges can be specified as being smooth at one of its vertices and shart on the other.

This method is called only when 3D domains are processed.

Parameters

vidx	the vertex index in the level 0 coarse grid view
n1	the outer normal vector of the face on one side of the edge, evaluated at the vertex
n2	the outer normal vector of the face on the other side of the edge, evaluated at the vertex
bsid1	the boundary segment index of the first face
bsid2	the boundary segment index of the second face

Implements Kaskade::GeometricFeatureDetector< Index, ctype, dim >.

isFeatureVertex()

template<class Index , class ctype , int dim>

virtual bool Kaskade::AngleFeatureDetector< Index, ctype, dim >::isFeatureVertex ( Index  vidx, Vector const &  t1, Vector const &  t2, int  bsid1, int  bsid2  ) const

virtual

Decides whether two boundary edges emanating from a joint vertex of a 2D domain are part of a smooth boundary curve or not.

This method is called only when 2D domains are processed.

Parameters

vidx	the vertex index in the level 0 coarse grid view
t1	tangent vector of first edge
t2	tangent vector of second edge
bsid1	the boundary segment index of the first edge
bsid2	the boundary segment index of the second edge

The tangent vectors are normalized and point away from the vertex. Thus, t1+t2==0 means they form a straight line.

Implements Kaskade::GeometricFeatureDetector< Index, ctype, dim >.

vertexNormal()

template<class Index , class ctype , int dim>

virtual Vector Kaskade::GeometricFeatureDetector< Index, ctype, dim >::vertexNormal ( Index  vidx, Vector const &  n  ) const

inlinevirtualinherited

Provides a surface normal at non-feature vertices (where no feature edge passes through).

Parameters

vidx	the vertex index
n	a suggested normal, usually an average of incident face normals

Returns

the actual normal \( n_a \) to use. It holds \( n_a^T n > 0 \) and \( \|n_a\| > 0 \).

The default implementation just passes the suggested normal on.

Definition at line 396 of file boundaryInterpolation.hh.

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

• boundaryInterpolation.hh