ITK  4.1.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Static Public Attributes | Protected Member Functions
itk::fem::Element3DC0LinearTriangular Class Reference

#include <itkFEMElement3DC0LinearTriangular.h>

+ Inheritance diagram for itk::fem::Element3DC0LinearTriangular:
+ Collaboration diagram for itk::fem::Element3DC0LinearTriangular:

List of all members.

Public Types

enum  { DefaultIntegrationOrder = 1 }
typedef SmartPointer< const SelfConstPointer
typedef SmartPointer< SelfPointer
typedef Element3DC0LinearTriangular Self
typedef TemplatedParentClass Superclass
typedef ElementStd< 3, 3 > TemplatedParentClass

Public Member Functions

void ComputeNormalDirection (const VectorType &v1, const VectorType &v2, const VectorType &v3, VectorType &n) const
itk::fem::Element::Float Determinant2x2 (const VectorType &c1, const VectorType &c2) const
void GeneralizedProjectPoint (const VectorType &x, const VectorType &origin, const VectorType &normal, VectorType &xproj) const
virtual void GetIntegrationPointAndWeight (unsigned int i, VectorType &pt, Float &w, unsigned int order) const
virtual bool GetLocalFromGlobalCoordinates (const VectorType &globalPt, VectorType &localPt) const
virtual const char * GetNameOfClass () const
virtual unsigned int GetNumberOfIntegrationPoints (unsigned int order) const
virtual Float JacobianDeterminant (const VectorType &pt, const MatrixType *pJ=0) const
virtual void JacobianInverse (const VectorType &pt, MatrixType &invJ, const MatrixType *pJ=0) const
virtual void PopulateEdgeIds ()
virtual void ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const
virtual VectorType ShapeFunctions (const VectorType &pt) const

Static Public Attributes

static const unsigned int Nip [6]
static const Float trigGaussRuleInfo [6][7][4]

Protected Member Functions

virtual void PrintSelf (std::ostream &os, Indent indent) const

Detailed Description

3-noded, linear, C0 continuous finite element in 2D space.

The ordering of the nodes is counter clockwise. That is the nodes should be defined in the following order:

(0,1) 2 * |\ | \ | \ | \ | \ | \ *------* 0 1 (0,0) (0,1)

Definition at line 51 of file itkFEMElement3DC0LinearTriangular.h.


Member Typedef Documentation

Definition at line 56 of file itkFEMElement3DC0LinearTriangular.h.


Member Enumeration Documentation

anonymous enum
Enumerator:
DefaultIntegrationOrder 

Definition at line 69 of file itkFEMElement3DC0LinearTriangular.h.


Member Function Documentation

void itk::fem::Element3DC0LinearTriangular::ComputeNormalDirection ( const VectorType v1,
const VectorType v2,
const VectorType v3,
VectorType n 
) const

Normal of the triangle element

Return the determinate of a 2x2 matrix

void itk::fem::Element3DC0LinearTriangular::GeneralizedProjectPoint ( const VectorType x,
const VectorType origin,
const VectorType normal,
VectorType xproj 
) const

Project the point x onto the plane containing the triangle element

virtual void itk::fem::Element3DC0LinearTriangular::GetIntegrationPointAndWeight ( unsigned int  i,
VectorType pt,
Float w,
unsigned int  order 
) const [virtual]

Get the Integration point and weight

Implements itk::fem::Element.

virtual bool itk::fem::Element3DC0LinearTriangular::GetLocalFromGlobalCoordinates ( const VectorType globalPt,
VectorType localPt 
) const [virtual]

Convert from global to local coordinates

Implements itk::fem::Element.

virtual const char* itk::fem::Element3DC0LinearTriangular::GetNameOfClass ( ) const [virtual]
virtual unsigned int itk::fem::Element3DC0LinearTriangular::GetNumberOfIntegrationPoints ( unsigned int  order) const [virtual]

Get the number of integration points

Implements itk::fem::Element.

virtual Float itk::fem::Element3DC0LinearTriangular::JacobianDeterminant ( const VectorType pt,
const MatrixType pJ = 0 
) const [virtual]

Compute the determinate of the Jacobian matrix

Reimplemented from itk::fem::Element.

virtual void itk::fem::Element3DC0LinearTriangular::JacobianInverse ( const VectorType pt,
MatrixType invJ,
const MatrixType pJ = 0 
) const [virtual]

Compute the inverse of the Jacobian matrix

Reimplemented from itk::fem::Element.

Define the edges and nodes that correspond to the edges

Implements itk::fem::Element.

virtual void itk::fem::Element3DC0LinearTriangular::PrintSelf ( std::ostream &  os,
Indent  indent 
) const [protected, virtual]

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::fem::ElementStd< 3, 3 >.

Reimplemented in itk::fem::Element3DMembrane< Element3DC0LinearTriangular >, itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >, itk::fem::Element3DC0LinearTriangularLaplaceBeltrami, and itk::fem::Element3DC0LinearTriangularMembrane.

virtual void itk::fem::Element3DC0LinearTriangular::ShapeFunctionDerivatives ( const VectorType pt,
MatrixType shapeD 
) const [virtual]

Return the shape functions derivatives in the shapeD matrix

Implements itk::fem::Element.

Return the shape functions used to interpolate across the element

Implements itk::fem::Element.


Member Data Documentation

const unsigned int itk::fem::Element3DC0LinearTriangular::Nip[6] [static]

Array that holds number of integration point for each order of numerical integration.

Definition at line 124 of file itkFEMElement3DC0LinearTriangular.h.

Constants for integration rules.

Definition at line 118 of file itkFEMElement3DC0LinearTriangular.h.


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