class ActiveTriangulationTriangle3D : public TriangulationTriangle3D

a triangle of a 3D triangulation

Inheritance:

Public Methods

ActiveTriangulationTriangle3D*	getNeighbor (unsigned int i) const returns one of its 3D triangle neighbor from its index
double	getCotangentAlpha (const unsigned int i) const returns the cotangent of angle alpha i
double	getCosineAlpha (const unsigned int i) const returns the cosine of angle alpha i at rest position
double	getSineProduct () const returns the sine product divided by the area
ActiveTriangulationVertex3D*	getVertex (unsigned int i) const returns a 3D active triangle vertex from its index
ActiveTriangulationEdge3D*	getEdge (unsigned int i) const returns a 3D active triangle edge from its index
ActiveTriangulationZone3D*	getZone (void) const returns the 3D active zone associated with that triangle
ActiveTriangulation3D*	getTriangulation () const returns the 3D triangulation the triangle belongs to
void	storeDotProductRestVertex () store the dot product of the triangle vectors in its rest position
double	getLambda () const returns the first Lamé coefficient of the triangle
double	getMu () const returns the second Lamé coefficient of the triangle
void	setLambda (const double l) set the first Lamé coefficient of the triangle
void	setMu (const double m) set the first Lamé coefficient of the triangle
void	storeRestArea () compute and store the square Area of the triangle in its rest position
double	getRestArea () returns the square Rest Area
double	getDotProductRestVertex (const unsigned int i) const get the dot product of the triangle vectors in its rest position
void	computeCotangentAlpha () compute the 3 cotangent of the 3 angles at rest position necessary for the mean curvature force
void	getCotangentAlpha (double cotangentArray[3]) get the 3 cotangent of the 3 angles of the current triangle shape necessary for the mean curvature force
void	storeCosineAlpha () store the 3 cosine of the 3 angles necessary for the quadratic membrane force
void	storeSineProduct () store the sine product constant for the quadratic membrane force
static void	setMeanCurvatureTexture (TriangulationTriangle3D *t, double c[3]) set the texture coordinate as a function of mean curevature */
static void	setGaussianCurvatureTexture (TriangulationTriangle3D *t, double c[3]) set the texture coordinate as a function of gaussian curvature */

Public

	constructors ActiveTriangulationTriangle3D (Triangulation *mesh, bool empty=false, TriangulationTriangle *n0 = 0, TriangulationTriangle *n1 = 0, TriangulationTriangle *n2 = 0, TriangulationVertex *v0 = 0, TriangulationVertex *v1 = 0, TriangulationVertex *v2 = 0, TriangulationEdge *e0 = 0, TriangulationEdge *e1 = 0, TriangulationEdge *e2 = 0, TriangulationZone *z=0) constructor
	destructor virtual ~ActiveTriangulationTriangle3D () empty destructor

Protected Fields

double	restArea the area of the rest triangle
double	dotProductRestVertex [3] array used when computing the membrane force : it is equal to (Pj - Pi)
double	cotangentAlpha [3] array used to compute the mean curvature motion force : it is equal to (P[i+1] -P[i])
double	cosineAlpha [3] array used to compute the quadratic membrane force : it is equal to ( P[i+1] -P[i])
double	sineProduct constant evaluated at rest position that is used for the quadratic membrane force
double	lambda the first Lamé coefficient used by the membrane force
double	mu the second Lamé coefficient used by the membrane force

Inherited from TriangulationTriangle3D:

Public Methods

Vec3 getNormal() const

void setTextureCoordinate(unsigned int i, unsigned int j, double value)

double getTextureCoordinate(int i, int j)

double getArea() const

void computeNormal()

std::list <TriangulationLandmark *> ::iterator firstLandmark()

std::list <TriangulationLandmark *> ::iterator lastLandmark()

void addLandmark( TriangulationLandmark *l)

Protected Fields

Vec3 normal

double textCoord[3][4]

std::list <TriangulationLandmark *> landmarkList

Inherited from TriangulationTriangle:

Public Methods

void setNeighboringTriangle(int i, TriangulationTriangle *t)

void setEdge(int i, TriangulationEdge *e)

void setVertex(int i, TriangulationVertex *v)

void setWhichNeighbor(unsigned int i, unsigned int j)

void setWhichNeighbor(void)

int getRef(void) const

int getWhichNeighbor(int i) const

int getWhichNeighbor(const TriangulationTriangle *v) const

int neighborIndex(const TriangulationTriangle *v) const

bool isReal() const

void setReal()

void setVirtual()

void zoneRemoved(TriangulationZone *z)

void setZone(TriangulationZone *z)

void swapNeighbors(unsigned int i, unsigned int j)

Protected Fields

TriangulationTriangle* neighbor[3]

TriangulationVertex* vertex[3]

TriangulationEdge* edge[3]

bool empty

unsigned int whichNeighbor[3]

int ref

Triangulation* triangulation

TriangulationZone* zone

VertexContour* vertexContour

SM2VertexTopology* vertexWindow

std::vector * neighborhood

unsigned int neighborhoodSize

double restArea

the area of the rest triangle

double dotProductRestVertex[3]

array used when computing the membrane force : it is equal to (Pj - Pi) . (Pk - Pi) for the rest position

double cotangentAlpha[3]

array used to compute the mean curvature motion force : it is equal to (P[i+1] -P[i]).(P[i]-P[i-1])/area

double cosineAlpha[3]

array used to compute the quadratic membrane force : it is equal to ( P[i+1] -P[i]).(P[i]-P[i-1])/(|P[i+1] -P[i]|*|P[i] -P[i-1]|)

double sineProduct

constant evaluated at rest position that is used for the quadratic membrane force. It is equal to (l_0^2*l_1^2*l_2^2)/16 A^4

double lambda

the first Lamé coefficient used by the membrane force

double mu

the second Lamé coefficient used by the membrane force

constructors

ActiveTriangulationTriangle3D(Triangulation *mesh, bool empty=false, TriangulationTriangle *n0 = 0, TriangulationTriangle *n1 = 0, TriangulationTriangle *n2 = 0, TriangulationVertex *v0 = 0, TriangulationVertex *v1 = 0, TriangulationVertex *v2 = 0, TriangulationEdge *e0 = 0, TriangulationEdge *e1 = 0, TriangulationEdge *e2 = 0, TriangulationZone *z=0)

constructor

Parameters:

mesh - the triangulation where the triangle is inserted
empty - if the triangle is real or virtual
n0 - first triangle neighbor,
n1 - second triangle neighbor,
n2 - third triangle neighbor,
v0 - first vertex,
v1 - second vertex,
v2 - third vertex,
e0 - first edge,
e1 - second edge,
e2 - third edge,
z - zone the triangle belongs

destructor

virtual ~ActiveTriangulationTriangle3D()

empty destructor

ActiveTriangulationTriangle3D* getNeighbor(unsigned int i) const

returns one of its 3D triangle neighbor from its index

Parameters:

i - neighbor number (0, 1 or 2)

double getCotangentAlpha(const unsigned int i) const

returns the cotangent of angle alpha i

double getCosineAlpha(const unsigned int i) const

returns the cosine of angle alpha i at rest position

double getSineProduct() const

returns the sine product divided by the area

ActiveTriangulationVertex3D* getVertex(unsigned int i) const

returns a 3D active triangle vertex from its index

Parameters:

i - vertex index (0, 1 or 2)

ActiveTriangulationEdge3D* getEdge(unsigned int i) const

returns a 3D active triangle edge from its index

Parameters:

i - vertex index (0, 1 or 2)

ActiveTriangulationZone3D* getZone(void) const

returns the 3D active zone associated with that triangle

ActiveTriangulation3D* getTriangulation() const

returns the 3D triangulation the triangle belongs to

void storeDotProductRestVertex()

store the dot product of the triangle vectors in its rest position

double getLambda() const

returns the first Lamé coefficient of the triangle

double getMu() const

returns the second Lamé coefficient of the triangle

void setLambda(const double l)

set the first Lamé coefficient of the triangle

void setMu(const double m)

set the first Lamé coefficient of the triangle

void storeRestArea()

compute and store the square Area of the triangle in its rest position

double getRestArea()

returns the square Rest Area

double getDotProductRestVertex(const unsigned int i) const

get the dot product of the triangle vectors in its rest position

void computeCotangentAlpha()

compute the 3 cotangent of the 3 angles at rest position necessary for the mean curvature force

void getCotangentAlpha(double cotangentArray[3])

get the 3 cotangent of the 3 angles of the current triangle shape necessary for the mean curvature force

void storeCosineAlpha()

store the 3 cosine of the 3 angles necessary for the quadratic membrane force

void storeSineProduct()

store the sine product constant for the quadratic membrane force

static void setMeanCurvatureTexture(TriangulationTriangle3D *t, double c[3])

set the texture coordinate as a function of mean curevature */

static void setGaussianCurvatureTexture(TriangulationTriangle3D *t, double c[3])

set the texture coordinate as a function of gaussian curvature */

This class has no child classes.

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