DGtal::functors::EmbedderFromNormalVectors< TRealPoint, TRealVector > Struct Template Reference

Functor that projects a face vertex of a surface mesh onto the tangent plane given by a per-face normal vector. This functor can be used in PolygonalCalculus to correct the embedding of digital surfaces using an estimated normal vector field (see [26]). More...

#include <DGtal/dec/PolygonalCalculus.h>

Public Types
typedef SurfaceMesh< TRealPoint, TRealVector >	MySurfaceMesh
	Type of SurfaceMesh.
typedef MySurfaceMesh::Vertex	Vertex
	Vertex type.
typedef MySurfaceMesh::Face	Face
	Face type.
typedef MySurfaceMesh::RealPoint	Real3dPoint
	Position type.

Public Member Functions
	EmbedderFromNormalVectors ()=delete
	EmbedderFromNormalVectors (ConstAlias< std::vector< Real3dPoint > > normals, ConstAlias< MySurfaceMesh > surfmesh)
Real3dPoint	operator() (const Face &f, const Vertex &v)

Data Fields
const std::vector< Real3dPoint > *	myNormals
	Alias to the normal vectors.
const MySurfaceMesh *	mySurfaceMesh
	Alias to the surface mesh.

Detailed Description

template<typename TRealPoint, typename TRealVector>
struct DGtal::functors::EmbedderFromNormalVectors< TRealPoint, TRealVector >

Functor that projects a face vertex of a surface mesh onto the tangent plane given by a per-face normal vector. This functor can be used in PolygonalCalculus to correct the embedding of digital surfaces using an estimated normal vector field (see [26]).

Note

when used in PolygonalCalculus, all operators being invariant by translation, all tangent planes pass through the origin (0,0,0) (no offest).

Template Parameters

TRealPoint	a model of points \(\mathbb{R}^3\) (e.g. PointVector).
TRealVector	a model of vectors in \(\mathbb{R}^3\) (e.g. PointVector).

Definition at line 61 of file PolygonalCalculus.h.

Member Typedef Documentation

Face

template<typename TRealPoint, typename TRealVector>

typedef MySurfaceMesh::Face DGtal::functors::EmbedderFromNormalVectors< TRealPoint, TRealVector >::Face

Face type.

Definition at line 68 of file PolygonalCalculus.h.

MySurfaceMesh

template<typename TRealPoint, typename TRealVector>

typedef SurfaceMesh<TRealPoint, TRealVector> DGtal::functors::EmbedderFromNormalVectors< TRealPoint, TRealVector >::MySurfaceMesh

Type of SurfaceMesh.

Definition at line 64 of file PolygonalCalculus.h.

Real3dPoint

template<typename TRealPoint, typename TRealVector>

typedef MySurfaceMesh::RealPoint DGtal::functors::EmbedderFromNormalVectors< TRealPoint, TRealVector >::Real3dPoint

Position type.

Definition at line 70 of file PolygonalCalculus.h.

Vertex

template<typename TRealPoint, typename TRealVector>

typedef MySurfaceMesh::Vertex DGtal::functors::EmbedderFromNormalVectors< TRealPoint, TRealVector >::Vertex

Vertex type.

Definition at line 66 of file PolygonalCalculus.h.

Constructor & Destructor Documentation

EmbedderFromNormalVectors() [1/2]

template<typename TRealPoint, typename TRealVector>

DGtal::functors::EmbedderFromNormalVectors< TRealPoint, TRealVector >::EmbedderFromNormalVectors ( )

delete

EmbedderFromNormalVectors() [2/2]

template<typename TRealPoint, typename TRealVector>

DGtal::functors::EmbedderFromNormalVectors< TRealPoint, TRealVector >::EmbedderFromNormalVectors ( ConstAlias< std::vector< Real3dPoint > > normals, ConstAlias< MySurfaceMesh > surfmesh )

inline

Constructor from an array of normal vectors and a surface mesh instance.

Parameters

normals	a vector of per face normal vectors (same ordering as the SurfaceMesh face indicies).
surfmesh	an instance of SurfaceMesh

Definition at line 77 of file PolygonalCalculus.h.

      {
        myNormals     = &normals;
        mySurfaceMesh = &surfmesh;
      }

References myNormals, mySurfaceMesh, and surfmesh.

Member Function Documentation

operator()()

template<typename TRealPoint, typename TRealVector>

Real3dPoint DGtal::functors::EmbedderFromNormalVectors< TRealPoint, TRealVector >::operator() ( const Face & f, const Vertex & v )

inline

Project a face vertex onto its tangent plane (given by the per-face estimated normal vector).

Parameters

f	the face that contains the vertex
v	the vertex to project

Definition at line 89 of file PolygonalCalculus.h.

      {
        const auto nn = (*myNormals)[f];
        Real3dPoint p = mySurfaceMesh->position(v);
        return p - nn.dot(p)*nn;
      }

References mySurfaceMesh.

Field Documentation

myNormals

template<typename TRealPoint, typename TRealVector>

const std::vector<Real3dPoint>* DGtal::functors::EmbedderFromNormalVectors< TRealPoint, TRealVector >::myNormals

Alias to the normal vectors.

Definition at line 97 of file PolygonalCalculus.h.

Referenced by EmbedderFromNormalVectors().

mySurfaceMesh

template<typename TRealPoint, typename TRealVector>

const MySurfaceMesh* DGtal::functors::EmbedderFromNormalVectors< TRealPoint, TRealVector >::mySurfaceMesh

Alias to the surface mesh.

Definition at line 99 of file PolygonalCalculus.h.

Referenced by EmbedderFromNormalVectors(), and operator()().

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

• PolygonalCalculus.h