ITK
4.1.0
Insight Segmentation and Registration Toolkit
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#include <itkFEMElement3DC0LinearTriangular.h>
Public Types | |
enum | { DefaultIntegrationOrder = 1 } |
typedef SmartPointer< const Self > | ConstPointer |
typedef SmartPointer< Self > | Pointer |
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 |
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.
typedef SmartPointer<const Self> itk::fem::Element3DC0LinearTriangular::ConstPointer |
Reimplemented from itk::fem::ElementStd< 3, 3 >.
Reimplemented in itk::fem::Element3DMembrane< Element3DC0LinearTriangular >, itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >, itk::fem::Element3DC0LinearTriangularLaplaceBeltrami, and itk::fem::Element3DC0LinearTriangularMembrane.
Definition at line 59 of file itkFEMElement3DC0LinearTriangular.h.
Reimplemented from itk::fem::ElementStd< 3, 3 >.
Reimplemented in itk::fem::Element3DMembrane< Element3DC0LinearTriangular >, itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >, itk::fem::Element3DC0LinearTriangularLaplaceBeltrami, and itk::fem::Element3DC0LinearTriangularMembrane.
Definition at line 58 of file itkFEMElement3DC0LinearTriangular.h.
Standard class typedefs.
Reimplemented from itk::fem::ElementStd< 3, 3 >.
Reimplemented in itk::fem::Element3DMembrane< Element3DC0LinearTriangular >, itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >, itk::fem::Element3DC0LinearTriangularLaplaceBeltrami, and itk::fem::Element3DC0LinearTriangularMembrane.
Definition at line 55 of file itkFEMElement3DC0LinearTriangular.h.
Reimplemented from itk::fem::ElementStd< 3, 3 >.
Reimplemented in itk::fem::Element3DMembrane< Element3DC0LinearTriangular >, itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >, itk::fem::Element3DC0LinearTriangularLaplaceBeltrami, and itk::fem::Element3DC0LinearTriangularMembrane.
Definition at line 57 of file itkFEMElement3DC0LinearTriangular.h.
Definition at line 56 of file itkFEMElement3DC0LinearTriangular.h.
anonymous enum |
Definition at line 69 of file itkFEMElement3DC0LinearTriangular.h.
void itk::fem::Element3DC0LinearTriangular::ComputeNormalDirection | ( | const VectorType & | v1, |
const VectorType & | v2, | ||
const VectorType & | v3, | ||
VectorType & | n | ||
) | const |
Normal of the triangle element
itk::fem::Element::Float itk::fem::Element3DC0LinearTriangular::Determinant2x2 | ( | const VectorType & | c1, |
const VectorType & | c2 | ||
) | const |
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] |
Run-time type information (and related methods).
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 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.
virtual void itk::fem::Element3DC0LinearTriangular::PopulateEdgeIds | ( | ) | [virtual] |
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.
virtual VectorType itk::fem::Element3DC0LinearTriangular::ShapeFunctions | ( | const VectorType & | pt | ) | const [virtual] |
Return the shape functions used to interpolate across the element
Implements itk::fem::Element.
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.
const Float itk::fem::Element3DC0LinearTriangular::trigGaussRuleInfo[6][7][4] [static] |
Constants for integration rules.
Definition at line 118 of file itkFEMElement3DC0LinearTriangular.h.