Mathematical constants and macro definitions

Classes
class	TeTinVertex
	A basic class for handling vertex of TIN. More...
class	TeTinVertexSet
	A basic class for handling a std::set of TeTinVertex. More...
class	TeTinEdge
	A basic class for handling edges of a TIN. More...
class	TeTinEdgeSet
	A basic class for handling a std::set of TeTinEdge. More...
class	TeTinTriangle
	TeTinTriangle: A class for handling a TIN triangle. More...
class	TeTinTriangleSet
	TeTinTriangle: A class for handling a std::set of TIN triangles. More...
class	TeTin
	A class to handle a TIN. More...
Defines
#define	MAX(a, b)   ( (a>b) ? a : b )
	Macro that returns max between two values.
#define	MIN(a, b)   ( (a<b) ? a : b )
	Macro that returns min between two values.
#define	ABS(x)   ( ((x) >= 0) ? (x) : -(x) )
	Macro that returns the absolute value.
Typedefs
typedef TeTinVertexSet::iterator	TeTin::TeTinVertexIterator
typedef TeTinEdgeSet::iterator	TeTin::TeTinEdgeIterator
typedef TeTinTriangleSet::iterator	TeTin::TeTinTriangleIterator
Enumerations
enum	TeTinVertexType {   DELETEDVERTEX = -1, NORMALVERTEX = 0, ONCONTOURVERTEX = 1, ONBOXVERTEX = 2,   ONBREAKLINEVERTEX = 3, CONTOURFIRSTVERTEX = 4, CONTOURLASTVERTEX = 5, BREAKLINEFIRSTVERTEX = 6,   BREAKLINELASTVERTEX = 7 }
	Tin Vertex types. More...
enum	TeTinEdgeType { DELETEDEDGE = -1, NORMALEDGE = 0, ONCONTOUREDGE = 1, ONBREAKLINEEDGE = 2 }
	Tin Edges type. More...
Functions
	TeTinVertex::TeTinVertex (TeCoord2D xy, double value, TeTinVertexType type, long edge)
	Constructor with parameters.
bool	TeTinVertex::operator== (const TeTinVertex &other) const
	Returns TRUE if a TeTinVertex is equal to other.
long	TeTinVertex::oneEdge ()
void	TeTinVertex::setOneEdge (long oneEdge)
TeTinVertexType	TeTinVertex::type ()
void	TeTinVertex::setType (TeTinVertexType type)
void	TeTinVertex::value (double value)
double	TeTinVertex::value ()
	Return the value associated to the measure.
TeGeomRep	TeTinVertex::elemType ()
bool	TeTinVertexSet::loadFromFile (std::string &fileName)
TeGeomRep	TeTinVertexSet::elemType ()
	TeTinEdge::TeTinEdge (long from, long to, long left, long right, TeTinEdgeType type)
bool	TeTinEdge::operator== (const TeTinEdge &other) const
	Returns TRUE if a TeTinEdge is equal to other.
long	TeTinEdge::from ()
long	TeTinEdge::to ()
void	TeTinEdge::setVertices (long from, long to)
void	TeTinEdge::swapVertices ()
long	TeTinEdge::left ()
long	TeTinEdge::right ()
void	TeTinEdge::setTriangles (long left, long right)
void	TeTinEdge::swapTriangles ()
void	TeTinEdge::exchangeTriangle (long t1, long t2)
void	TeTinEdge::exchangeVertex (long v1, long v2)
TeTinEdgeType	TeTinEdge::type ()
void	TeTinEdge::setType (TeTinEdgeType type)
TeGeomRep	TeTinEdge::elemType ()
bool	TeTinEdgeSet::loadFromFile (std::string &fileName)
TeGeomRep	TeTinEdgeSet::elemType ()
	TeTinTriangle::TeTinTriangle (long first, long second, long third)
bool	TeTinTriangle::operator== (const TeTinTriangle &other) const
	Returns TRUE if a TeTinTriangle is equal to other.
void	TeTinTriangle::setEdges (long first, long second, long third)
void	TeTinTriangle::edges (long &first, long &second, long &third)
	Return triangle edges ids.
long	TeTinTriangle::edgeAt (short num)
TeGeomRep	TeTinTriangle::elemType ()
bool	TeTinTriangleSet::loadFromFile (std::string &fileName)
TeGeomRep	TeTinTriangleSet::elemType ()
	TeTin::TeTin (TeBox &)
void	TeTin::clear ()
TeBox	TeTin::box ()
bool	TeTin::createInitialTriangles (TeBox &box)
bool	TeTin::insertLineSamples (TeContourLine &line)
bool	TeTin::loadFromFile (std::string &fileName)
bool	TeTin::getLines (TeLineSet &lineSet)
bool	TeTin::isEmpty ()
TeTinEdge &	TeTin::edge (long i)
TeTinVertex &	TeTin::vertex (long i)
TeTinTriangle &	TeTin::triangle (long i)
TeTinVertexIterator	TeTin::vertexBegin ()
TeTinVertexIterator	TeTin::vertexEnd ()
TeTinEdgeIterator	TeTin::edgeBegin ()
TeTinEdgeIterator	TeTin::edgeEnd ()
TeTinTriangleIterator	TeTin::triangleBegin ()
TeTinTriangleIterator	TeTin::triangleEnd ()
bool	TeTin::triangleContainsPoint (TeTinTriangle &t, TeCoord2D &pt)
bool	TeTin::triangleContainsPoint (long t, TeCoord2D &pt)
long	TeTin::edgeWithVertexDiffFromEdge (long t, long v, long e)
long	TeTin::oneTriangleWithVertex (long vertex)
long	TeTin::oneEdgeWithVertex (long vertex)
long	TeTin::edgeOppVertex (TeTinTriangle &triangle, long vertex)
long	TeTin::edgeOppVertex (long triangle, long vertex)
long	TeTin::vertexOppEdge (long triangle, long edge)
bool	TeTin::vertexEdges (long vertex, std::list< long > &edges)
bool	TeTin::vertexOppEdges (long vertex, std::list< long > &edges)
bool	TeTin::vertexOppEdges (long v, std::list< long > &triset, std::list< long > &edges)
bool	TeTin::vertexOppVertices (long vertex, std::list< long > &vertices)
bool	TeTin::vertexSecondNeighVertices (long v, list< long > &vertices)
bool	TeTin::vertexTriangles (long vertex, std::list< long > &triangles)
bool	TeTin::triangle3Neighbors (long t, long &neighbor0, long &neighbor1, long &neighbor2)
long	TeTin::triangleAt (TeCoord2D &pt)
long	TeTin::triangleAt (TeBox boxPt)
bool	TeTin::triangleVertices (TeTinTriangle &t, long &vertex0, long &vertex1, long &vertex2)
bool	TeTin::triangleVertices (long t, long &vertex0, long &vertex1, long &vertex2)
long	TeTin::triangleVertexAt (long t, long vertex)
bool	TeTin::triangle3DPoints (TeTinTriangle &t, TeCoord2D &pt0, TeCoord2D &pt1, TeCoord2D &pt2, double &val0, double &val1, double &val2)
bool	TeTin::triangle3DPoints (long t, TeCoord2D &pt0, TeCoord2D &pt1, TeCoord2D &pt2, double &val0, double &val1, double &val2)
bool	TeTin::trianglePoints (TeTinTriangle &t, TeCoord2D &pt0, TeCoord2D &pt1, TeCoord2D &pt2)
bool	TeTin::trianglePoints (long t, TeCoord2D &pt0, TeCoord2D &pt1, TeCoord2D &pt2)
bool	TeTin::twoNewTriangles (long t, long v, std::set< long > &triangles)
long	TeTin::duplicateTriangle (long t, long n, long v, std::set< long > &triangles)
bool	TeTin::dupNeighTriangle (long t, long e, long v, std::set< long > &triangles)
void	TeTin::testDelaunayForVertex (long v, std::set< long > &triangles)
bool	TeTin::testDelaunayAt (long t, long v, std::set< long > &triangles)
bool	TeTin::testDelaunay (long e)
bool	TeTin::testDelaunay (long t, long v)
bool	TeTin::testDelaunay (long t1, long t2, long t3)
bool	TeTin::testDelaunay (long t1, long t2, long t3, long t4)
bool	TeTin::createDelaunay ()
bool	TeTin::generateDelaunay (long nt, long ntbase, long &contr)
void	TeTin::vertexExchange (long oldVertex, long newVertex)
long	TeTin::oppositeVertex (long t, long e)
	Method used to read the identification number of the opposite vertex of a given edge.
bool	TeTin::createSmallerAngleTriangulation ()
	Creates a triangulation using the Smaller Angle method.
bool	TeTin::testSmallerAngleAt (long t, long v)
	Test the angle between two normals.
bool	TeTin::createIsolinesTriangulation ()
	Test isolines.
bool	TeTin::swapEdges (long t, long tv, long ai)
bool	TeTin::insertPoint (TeSample &xyz)
bool	TeTin::insertPoint (double x, double y, double value)
bool	TeTin::edgesInterBySegment (TeCoord2D &pf, TeCoord2D &pn, std::list< long > &aiset, std::list< long > &viset)
bool	TeTin::insertSegment (TeCoord2D &pf, TeCoord2D &pn)
void	TeTin::convexize ()
bool	TeTin::isEdgeTriangle (long t)
int	TeTin::sizeTriangles ()
int	TeTin::sizeVertex ()
TeGeomRep	TeTin::elemType ()
bool	TeTin::createTIN (TeSampleSet &sampleSet, TeContourLineSet &contourSet)
	Creates TIN.
bool	TeTin::createTIN (TeLayer *inputLayer_ptr, TePolygonSet &ps)
	Creates TIN.
bool	TeTin::createTIN (TeLayer *inputLayer_ptr)
	Creates TIN from point's layer.
bool	TeTin::createAttrTable (TeTable &attTable, TeDatabase *db, TeLayer *layer)
	Creates a attributes table.
bool	TeTin::createPolygon (TePolygonSet ps, TeTable &attTable, int t, TeCoord2D &pt0, TeCoord2D &pt1, TeCoord2D &pt2, double &val0, double &val1, double &val2)
	Creates polygons with points of triangles.
bool	TeTin::createPolygon (TePolygonSet ps, TeTable &attTable, int t, TeCoord2D &pt0, TeCoord2D &pt1, TeCoord2D &pt2, double &val0, double &val1, double &val2, double &slope, double &aspect)
	Creates polygons with points of triangles.
bool	TeTin::createPolygon (TePolygonSet ps, TeTable &attTable, int t, TeTinVertex vert0, TeTinVertex vert1, TeTinVertex vert2, double &slope, double &aspect)
bool	TeTin::saveTIN (TeDatabase *db, TeLayer *layer, TePolygonSet &ps, TeTable &attTable)
	Add polygons in the layer and save attributes table in the database.
bool	TeTin::saveVertexTIN (TeDatabase *db, TeLayer *layer, TePointSet &ps, TeTable &attTable)
	Add points in the layer and save attributes table in the database.
bool	TeTin::saveTINdb (TeDatabase *db, string &outLayerName, string &tablename)
	Saves TIN in the database.
TeLayer *	TeTin::saveTINdb (TeDatabase *db, TeProjection *proj, string &outLayerName, string &tablename)
	Saves TIN in the database.
bool	TeTin::saveVertexTINdb (TeDatabase *db, string &outLayerName, string &tablename)
	Saves vertex of TIN in the database.
bool	TeTin::borderUp ()
	Deletes vertex ONBOXVERTEX and re-triangular TIN.
void	TeTin::writeTriangleEdgesSPRFile (std::string &name, TeRaster *raster)
	Saves TIN in SPRING file format.
void	TeTin::areaTriangle (TeTinTriangle &t, float &area)
	Calculates the area of triangle.
void	TeTin::slopeTriangle (TeTinTriangle &t, double &slope, char slopetype)
	Calculates the slope of triangle.
void	TeTin::aspectTriangle (TeTinTriangle &t, double &aspect)
	Calculates the aspect of triangle.
bool	TeTin::calculateGradient (TeRaster *&grid, char gradtype, char slopetype)
	Method that calculates gradient values for a TIN.
bool	TeTin::createPointSet (TePointSet &ps, TeTable &atttable, TeLayer *layer, TeDatabase *db)
	Creates a PointSet object with vertex of TIN.
bool	TeTin::createSampleSet (TeSampleSet &sample)
	Creates a sample object with vertex of TIN.
double	TeTin::triangleGradient (TeTinTriangle &t, char gradtype, char slopetype)
	Calculates the gradient of triangle.
bool	TeTin::normalTriangle (TeTinTriangle &t, std::vector< double > &nvector)
	Calculates the normal.
bool	TeTin::normalTriangle (std::vector< TeTinVertex > vert, double *nvector)
void	TeTin::normalizeVector (std::vector< double > &nvector)
	Function that normalize a vector by its size.
void	TeTin::normalizeVector (double *nvector)
bool	TeTin::defineInterLinesColumns (TeRaster *raster, TeTinTriangle t, int &fline, int &lline, int &fcol, int &lcol)
	Calculates the lines and the columns intercepted by a triangle (Used to image)
void	TeTin::linearInterpolation (TeRaster *raster, int band, TeTinTriangle t, int fline, int lline, int fcol, int lcol)
	Fills the grid locations, inside a triangle, with a zvalue linearly evaluated (Used to image)
bool	TeTin::linearInterpolation (TeRaster *&grid)
	Fills the grid locations, inside triangles, with a zvalue linearly evaluated (Used to grid)
bool	TeTin::quinticInterpolation (TeRaster *&grid, int interpolator)
bool	TeTin::interpolationPoint (TeCoord2D &pt, double &z)
	This function interpolates the average weighted by the inverse of the distance.
bool	TeTin::slopeaspectPoint (TeCoord2D &pt, double &s, double &a)
	Calculates the slope and orientation on the point.
bool	TeTin::vertexOncontour (long &v)
void	TeTin::setTolerances (double minedgesize=0, double isoTol=-1, double ptsdist=-1, double breaklineTol=-1)
	Set triangulation tolerances.
double	TeTin::pointToSegmentDistance (TeCoord2D fseg, TeCoord2D lseg, TeCoord2D pt, TeCoord2D &pti)
	Calculates the distance between a point and a segment.
bool	TeTin::insertBreaklines (TeLineSet &breaklineSet, double scale)
	Insert breaklines in the triangulation.
void	TeTin::copyBreaklines (TeLineSet &breaklines)
	Method that perform a copy of breaklines.
bool	TeTin::insertBreaklinesPoints (TeLineSet breaklines, double scale)
	Insert break vertex in the triangulation.
bool	TeTin::vertexClosestPoints (long v, std::vector< long > &clstVert)
	Method that search the closest points of a specific vertex.
bool	TeTin::breakVertexClosestPoints (long v, std::vector< long > &rclstVert, std::vector< long > &lclstVert)
	Method that searches the break vertex closest points.
void	TeTin::vertexDerivatives ()
	Calculate the first and second derivatives in the vertex of a given triangle.
void	TeTin::triangleFirstDeriv ()
	Calculate first derivative on triangles.
void	TeTin::vertexFirstDeriv ()
	Calculate first derivative on vertex.
void	TeTin::triangleSecondDeriv ()
	Calculate second derivative on triangles.
void	TeTin::vertexSecondDeriv ()
	Calculate second derivative on vertex.
void	TeTin::breakVertexFirstDeriv ()
	Calculate the first derivative in the vertex of a given break triangle.
void	TeTin::breakTriangleSecondDeriv ()
	Calculate the second derivative in the vertex of a given break triangle.
void	TeTin::breakVertexSecondDeriv ()
	Calculates the second derivative at all triangulation break vertex.
void	TeTin::calcVertexFirstDeriv (long v, std::vector< long > clstVertex, TeTinVertex &deriv)
	Calculates the first derivative in a given vertex.
void	TeTin::calcVertexSecondDeriv (long v, std::vector< long > clstVertex, TeTinVertex &deriv)
	Calculates the second derivative in a given vertex.
void	TeTin::calcTriangleSecondDeriv (long v, std::list< long > triangles, TeTinVertexSet &fderiv)
	Calculates the second derivatives in a vertex of a given triangle.
bool	TeTin::findInterPoints (TeCoord2D &pf, TeCoord2D &pn, TeTinVertexSet &pts)
	Search the point that intersects two triangles containing points pf and pn.
void	TeTin::vertexTriangles (long v, std::list< long > &rtri, std::list< long > &ltri)
	Finds the triangle list sharing a given node.
void	TeTin::calcZvalueAkima (long t, TeTinVertex &v1, TeTinVertex &v2)
	Method that evaluate Z values for pt1 and pt2 using the Akima polynomium fitted in a triangle.
void	TeTin::defineAkimaCoeficients (long t, double *coef)
void	TeTin::defineAkimaCoeficients (long t, TeTinVertexSet vertSet, double *coef)
	Define the coefficients of the Akima polynomium fitted in a given triangle.
bool	TeTin::checkTopology ()
	Method that check the topology in a triangulation.
void	TeTin::checkEdges (long t)
	Method that check the edges in a triangulation.
void	TeTin::orderEdges ()
	Order edges.
long	TeTin::findEdge (long v1, long v2)
	Finds a edge given two vertex identification.
bool	TeTin::onIsolineSegment (long e, TeTinVertex &vert)
	Method that checks if a vertex is on the isoline segment.
bool	TeTin::onSegment (TeCoord2D pt, TeCoord2D fseg, TeCoord2D lseg, double tol)
	Method that checks if a point pt is on a segment.
bool	TeTin::isIsolineSegment (long e)
	Method that veryfies if the Isoline is a segment.
bool	TeTin::isBreaklineSegment (long e)
	Method that veryfies if the Breakline is a segment.
void	TeTin::writeTriangleSPRFile (std::string nameVert, std::string nameEdge, std::string nameTriang)
bool	TeTin::loadTIN (TeLayer *layer, TeDatabase *db)
	Load triangles from an input layer with TePOLYGONS representation.
void	TeTin::point3dListFilter (TeTinVertexSet vertSet, double tol)
bool	TeTin::leastSquareFitting (double *vectx, double *vecty, int np, int degree, double *coef)
	Method that performs a least square fitting in a set of points.
bool	TeTin::gaussElimination (int nvars, int neqs, double **matrix)
	Method used to solve a system of linear equation throught the Gauss elimination method.
bool	TeTin::isNeighborOnIsoOrBreakline (long t, long nviz)
	Method that veryfies if the neighbour is on an Isoline or on a Breakline.
void	TeTin::generateContour (double contour, TeContourLine *&ptline)
	Method to generate contour from a TIN.
bool	TeTin::defineInterTriangle (TeContourLine *&ptline, TeTinVertex *vert)
	Method used to define the intersections between an isoline and a triangle.
bool	TeTin::defineInterEdge (TeContourLine *&ptline, TeTinVertex fpt, TeTinVertex spt)
	Method used to define the intersection with an edge of a triangle.
long	TeTin::onSameSide (TeCoord2D pt1, TeCoord2D pt2, TeCoord2D fseg, TeCoord2D lseg)
string	TeTin::errorMessage ()
	Returns the error message.
Variables
const int	TeNAME_LENGTH = 2000
	A default name length.
const double	TeMAXFLOAT = 3.4E37
	Maximum float value.
const double	TeMINFLOAT = 3.4E-37
	Minimum float value.
const double	TePI = 3.14159265358979323846
	The ratio of the circumference to the diameter of a circle.
const double	TeCDR = 0.01745329251994329576
	Conversion factor: degrees to radians.
const double	TeCRD = 57.29577951308232087679
	Conversion factor: radians to degrees.
const double	TeEARTHRADIUS = 6378160.
	Int. Astronomical Union - 1965.
const double	TeTinBIGFLOAT = TeMAXFLOAT / 10.
	Near Maximum float value - TeMAXFLOAT / 10.

---

Define Documentation

#define ABS

(

x

)

( ((x) >= 0) ? (x) : -(x) )

Macro that returns the absolute value.

#define MAX	(		a,
			b
	)		( (a>b) ? a : b )

Macro that returns max between two values.

#define MIN	(		a,
			b
	)		( (a<b) ? a : b )

Macro that returns min between two values.

---

Typedef Documentation

typedef TeTinEdgeSet::iterator TeTin::TeTinEdgeIterator

typedef TeTinTriangleSet::iterator TeTin::TeTinTriangleIterator

typedef TeTinVertexSet::iterator TeTin::TeTinVertexIterator

---

Enumeration Type Documentation

enum TeTinEdgeType

Tin Edges type.

Enumerator:

DELETEDEDGE
NORMALEDGE
ONCONTOUREDGE
ONBREAKLINEEDGE

enum TeTinVertexType

Tin Vertex types.

Enumerator:

DELETEDVERTEX
NORMALVERTEX
ONCONTOURVERTEX
ONBOXVERTEX
ONBREAKLINEVERTEX
CONTOURFIRSTVERTEX
CONTOURLASTVERTEX
BREAKLINEFIRSTVERTEX
BREAKLINELASTVERTEX

---

Function Documentation

void TeTin::areaTriangle	(	TeTinTriangle &	t,
		float &	area
	)

Calculates the area of triangle.

Parameters:

t	TeTinTriangle object
area	area of triangle

void TeTin::aspectTriangle	(	TeTinTriangle &	t,
		double &	aspect
	)

Calculates the aspect of triangle.

Parameters:

t	TeTinTriangle object
aspect	aspect of triangle

bool TeTin::borderUp

(

)

Deletes vertex ONBOXVERTEX and re-triangular TIN.

TeBox TeTin::box

(

)

[inline]

void TeTin::breakTriangleSecondDeriv

(

)

Calculate the second derivative in the vertex of a given break triangle.

bool TeTin::breakVertexClosestPoints	(	long	v,
		std::vector< long > &	rclstVert,
		std::vector< long > &	lclstVert
	)

Method that searches the break vertex closest points.

Parameters:

v	vertex identification
rclstVert	vector of right vertex
lclstVert	vector of left vertex

void TeTin::breakVertexFirstDeriv

(

)

Calculate the first derivative in the vertex of a given break triangle.

void TeTin::breakVertexSecondDeriv

(

)

Calculates the second derivative at all triangulation break vertex.

void TeTin::calcTriangleSecondDeriv	(	long	v,
		std::list< long >	triangles,
		TeTinVertexSet &	fderiv
	)

Calculates the second derivatives in a vertex of a given triangle.

Parameters:

v	vertex identification
triangles	list of triangles identification

Returns:

fderiv second derivative in x and y direction

bool TeTin::calculateGradient	(	TeRaster *&	grid,
		char	gradtype,
		char	slopetype
	)

Method that calculates gradient values for a TIN.

Parameters:

grid	pointer to output grid
gradtype	type of gradient (slope or aspect)
slopetype	type os slope (degree or percent)

void TeTin::calcVertexFirstDeriv	(	long	v,
		std::vector< long >	clstVertex,
		TeTinVertex &	deriv
	)

Calculates the first derivative in a given vertex.

Parameters:

v	vertex identification
clstVertex	vector of a list of vertex

Returns:

deriv first derivative in x and y directions

void TeTin::calcVertexSecondDeriv	(	long	v,
		std::vector< long >	clstVertex,
		TeTinVertex &	deriv
	)

Calculates the second derivative in a given vertex.

Parameters:

v	vertex identification
clstVertex	vector of a list of vertex

Returns:

deriv second derivative in x and y direction

void TeTin::calcZvalueAkima	(	long	t,
		TeTinVertex &	v1,
		TeTinVertex &	v2
	)

Method that evaluate Z values for pt1 and pt2 using the Akima polynomium fitted in a triangle.

Parameters:

t	triangle identification number
v1
v2

void TeTin::checkEdges

(

long

t

)

Method that check the edges in a triangulation.

Parameters:

t

triangle

bool TeTin::checkTopology

(

)

Method that check the topology in a triangulation.

void TeTin::clear

(

void

)

[inline]

void TeTin::convexize

(

)

void TeTin::copyBreaklines

(

TeLineSet &

breaklines

)

Method that perform a copy of breaklines.

Parameters:

breaklines

break lines

bool TeTin::createAttrTable	(	TeTable &	attTable,
		TeDatabase *	db,
		TeLayer *	layer
	)

Creates a attributes table.

Parameters:

attTable	attributes table
db	current database
layer	layer

bool TeTin::createDelaunay

(

)

bool TeTin::createInitialTriangles

(

TeBox &

box

)

bool TeTin::createIsolinesTriangulation

(

)

Test isolines.

bool TeTin::createPointSet	(	TePointSet &	ps,
		TeTable &	atttable,
		TeLayer *	layer,
		TeDatabase *	db
	)

Creates a PointSet object with vertex of TIN.

Parameters:

ps	PointSet object
atttable	attributes table
layer	layer
db	current database

bool TeTin::createPolygon	(	TePolygonSet	ps,
		TeTable &	attTable,
		int	t,
		TeCoord2D &	pt0,
		TeCoord2D &	pt1,
		TeCoord2D &	pt2,
		double &	val0,
		double &	val1,
		double &	val2
	)

Creates polygons with points of triangles.

Parameters:

ps	PolygonSet
attTable	attributes table
t	triangle's number
pt0	triangle's point 0
pt1	triangle's point 1
pt2	triangle's point 2
val0	point's 0 value
val1	point's 1 value
val2	point's 2 value

bool TeTin::createPolygon	(	TePolygonSet	ps,
		TeTable &	attTable,
		int	t,
		TeCoord2D &	pt0,
		TeCoord2D &	pt1,
		TeCoord2D &	pt2,
		double &	val0,
		double &	val1,
		double &	val2,
		double &	slope,
		double &	aspect
	)

Creates polygons with points of triangles.

Parameters:

ps	PolygonSet
attTable	attributes table
t	triangle's number
pt0	triangle's point 0
pt1	triangle's point 1
pt2	triangle's point 2
val0	point's 0 value
val1	point's 1 value
val2	point's 2 value
slope	slope's value of triangle

bool TeTin::createPolygon	(	TePolygonSet	ps,
		TeTable &	attTable,
		int	t,
		TeTinVertex	vert0,
		TeTinVertex	vert1,
		TeTinVertex	vert2,
		double &	slope,
		double &	aspect
	)

bool TeTin::createSampleSet

(

TeSampleSet &

sample

)

Creates a sample object with vertex of TIN.

Parameters:

sample

SampleSet object

bool TeTin::createSmallerAngleTriangulation

(

)

Creates a triangulation using the Smaller Angle method.

bool TeTin::createTIN	(	TeLayer *	inputLayer_ptr,
		TePolygonSet &	ps
	)

Creates TIN.

Parameters:

inputLayer_ptr	layer
ps	PolygonSet

Used to store the attribute's values

Used to store the attribute's objects ID

Containers used to store the attributes values and objects ID

bool TeTin::createTIN

(

TeLayer *

inputLayer_ptr

)

Creates TIN from point's layer.

Parameters:

inputLayer_ptr

layer

bool TeTin::createTIN	(	TeSampleSet &	sampleSet,
		TeContourLineSet &	contourSet
	)

Creates TIN.

Parameters:

sampleSet	SampleSet
contourSet	ContourLineSet

void TeTin::defineAkimaCoeficients	(	long	t,
		double *	coef
	)

void TeTin::defineAkimaCoeficients	(	long	t,
		TeTinVertexSet	vertSet,
		double *	coef
	)

Define the coefficients of the Akima polynomium fitted in a given triangle.

Parameters:

t	triangle
coef	pointer to a double vector containing the polynomium coefficients

bool TeTin::defineInterEdge	(	TeContourLine *&	ptline,
		TeTinVertex	fpt,
		TeTinVertex	spt
	)

Method used to define the intersection with an edge of a triangle.

Parameters:

ptline	contour line
fpt	first point of the edge
spt	second point of the edge

bool TeTin::defineInterLinesColumns	(	TeRaster *	raster,
		TeTinTriangle	t,
		int &	fline,
		int &	lline,
		int &	fcol,
		int &	lcol
	)

Calculates the lines and the columns intercepted by a triangle (Used to image)

Parameters:

raster	pointer to a raster
t	current triangle
fline	first line of the raster
lline	last line of the raster
fcol	first column of the raster
lcol	last column of the raster

bool TeTin::defineInterTriangle	(	TeContourLine *&	ptline,
		TeTinVertex *	vert
	)

Method used to define the intersections between an isoline and a triangle.

long TeTin::duplicateTriangle	(	long	t,
		long	n,
		long	v,
		std::set< long > &	triangles
	)

bool TeTin::dupNeighTriangle	(	long	t,
		long	e,
		long	v,
		std::set< long > &	triangles
	)

TeTinEdge& TeTin::edge

(

long

i

)

[inline]

long TeTinTriangle::edgeAt

(

short

num

)

[inline]

TeTinEdgeIterator TeTin::edgeBegin

(

)

[inline]

TeTinEdgeIterator TeTin::edgeEnd

(

)

[inline]

long TeTin::edgeOppVertex	(	TeTinTriangle &	triangle,
		long	vertex
	)

long TeTin::edgeOppVertex	(	long	triangle,
		long	vertex
	)		[inline]

void TeTinTriangle::edges	(	long &	first,
		long &	second,
		long &	third
	)		[inline]

Return triangle edges ids.

Parameters:

first	first edge
second	second edge
third	third edge

bool TeTin::edgesInterBySegment	(	TeCoord2D &	pf,
		TeCoord2D &	pn,
		std::list< long > &	aiset,
		std::list< long > &	viset
	)

long TeTin::edgeWithVertexDiffFromEdge	(	long	t,
		long	v,
		long	e
	)

TeGeomRep TeTinVertexSet::elemType

(

)

[inline]

TeGeomRep TeTinTriangle::elemType

(

)

[inline]

TeGeomRep TeTinVertex::elemType

(

)

[inline]

TeGeomRep TeTinTriangleSet::elemType

(

)

[inline]

TeGeomRep TeTinEdge::elemType

(

)

[inline]

TeGeomRep TeTin::elemType

(

)

[inline]

TeGeomRep TeTinEdgeSet::elemType

(

)

[inline]

string TeTin::errorMessage

(

)

[inline]

Returns the error message.

void TeTinEdge::exchangeTriangle	(	long	t1,
		long	t2
	)		[inline]

void TeTinEdge::exchangeVertex	(	long	v1,
		long	v2
	)		[inline]

long TeTin::findEdge	(	long	v1,
		long	v2
	)

Finds a edge given two vertex identification.

Parameters:

v1	first vertex identification number
v2	second vertex identification number

bool TeTin::findInterPoints	(	TeCoord2D &	pf,
		TeCoord2D &	pn,
		TeTinVertexSet &	pts
	)

Search the point that intersects two triangles containing points pf and pn.

Parameters:

pf	first point
pn	last point
pts	list of points

long TeTinEdge::from

(

)

[inline]

bool TeTin::gaussElimination	(	int	nvars,
		int	neqs,
		double **	matrix
	)

Method used to solve a system of linear equation throught the Gauss elimination method.

Parameters:

nvars	number of variables
neqs	number of equations
matrix	array with variables

void TeTin::generateContour	(	double	contour,
		TeContourLine *&	ptline
	)

Method to generate contour from a TIN.

bool TeTin::generateDelaunay	(	long	nt,
		long	ntbase,
		long &	contr
	)

bool TeTin::getLines

(

TeLineSet &

lineSet

)

bool TeTin::insertBreaklines	(	TeLineSet &	breaklineSet,
		double	scale
	)

Insert breaklines in the triangulation.

Parameters:

breaklineSet

break lines

bool TeTin::insertBreaklinesPoints	(	TeLineSet	breaklines,
		double	scale
	)

Insert break vertex in the triangulation.

Parameters:

breaklines

break lines

bool TeTin::insertLineSamples

(

TeContourLine &

line

)

bool TeTin::insertPoint

(

TeSample &

xyz

)

[inline]

bool TeTin::insertPoint	(	double	x,
		double	y,
		double	value
	)

bool TeTin::insertSegment	(	TeCoord2D &	pf,
		TeCoord2D &	pn
	)

bool TeTin::interpolationPoint	(	TeCoord2D &	pt,
		double &	z
	)

This function interpolates the average weighted by the inverse of the distance.

Parameters:

pt	point coordinates
z	point's value

bool TeTin::isBreaklineSegment

(

long

e

)

Method that veryfies if the Breakline is a segment.

bool TeTin::isEdgeTriangle

(

long

t

)

bool TeTin::isEmpty

(

void

)

[inline]

bool TeTin::isIsolineSegment

(

long

e

)

Method that veryfies if the Isoline is a segment.

bool TeTin::isNeighborOnIsoOrBreakline	(	long	t,
		long	nviz
	)

Method that veryfies if the neighbour is on an Isoline or on a Breakline.

bool TeTin::leastSquareFitting	(	double *	vectx,
		double *	vecty,
		int	np,
		int	degree,
		double *	coef
	)

Method that performs a least square fitting in a set of points.

Parameters:

vectx	point coordinates
vecty	point coordinates
np	number of points
degree	degree of the polynomium used in the fitting
coef	pointer to the polynomium coefficients

long TeTinEdge::left

(

)

[inline]

void TeTin::linearInterpolation	(	TeRaster *	raster,
		int	band,
		TeTinTriangle	t,
		int	fline,
		int	lline,
		int	fcol,
		int	lcol
	)

Fills the grid locations, inside a triangle, with a zvalue linearly evaluated (Used to image)

Parameters:

raster	pointer to a raster
band	current band
t	current triangle
fline	first line of the raster
lline	last line of the raster
fcol	first column of the raster
lcol	last column of the raster

bool TeTin::linearInterpolation

(

TeRaster *&

grid

)

Fills the grid locations, inside triangles, with a zvalue linearly evaluated (Used to grid)

Parameters:

grid	pointer to output grid

bool TeTinTriangleSet::loadFromFile

(

std::string &

fileName

)

bool TeTin::loadFromFile

(

std::string &

fileName

)

bool TeTinVertexSet::loadFromFile

(

std::string &

fileName

)

bool TeTinEdgeSet::loadFromFile

(

std::string &

fileName

)

bool TeTin::loadTIN	(	TeLayer *	layer,
		TeDatabase *	db
	)

Load triangles from an input layer with TePOLYGONS representation.

Parameters:

layer	input theme
db	database

void TeTin::normalizeVector

(

double *

nvector

)

void TeTin::normalizeVector

(

std::vector< double > &

nvector

)

Function that normalize a vector by its size.

Parameters:

nvector

pointer to the vector coordinates x, y and z

bool TeTin::normalTriangle	(	TeTinTriangle &	t,
		std::vector< double > &	nvector
	)

Calculates the normal.

Parameters:

t	TeTinTriangle object
nvector	normal vector

bool TeTin::normalTriangle	(	std::vector< TeTinVertex >	vert,
		double *	nvector
	)

long TeTinVertex::oneEdge

(

)

[inline]

long TeTin::oneEdgeWithVertex

(

long

vertex

)

long TeTin::oneTriangleWithVertex

(

long

vertex

)

bool TeTin::onIsolineSegment	(	long	e,
		TeTinVertex &	vert
	)

Method that checks if a vertex is on the isoline segment.

long TeTin::onSameSide	(	TeCoord2D	pt1,
		TeCoord2D	pt2,
		TeCoord2D	fseg,
		TeCoord2D	lseg
	)

bool TeTin::onSegment	(	TeCoord2D	pt,
		TeCoord2D	fseg,
		TeCoord2D	lseg,
		double	tol
	)

Method that checks if a point pt is on a segment.

bool TeTinEdge::operator==

(

const TeTinEdge &

other

)

const [inline]

Returns TRUE if a TeTinEdge is equal to other.

bool TeTinVertex::operator==

(

const TeTinVertex &

other

)

const [inline]

Returns TRUE if a TeTinVertex is equal to other.

bool TeTinTriangle::operator==

(

const TeTinTriangle &

other

)

const [inline]

Returns TRUE if a TeTinTriangle is equal to other.

long TeTin::oppositeVertex	(	long	t,
		long	e
	)

Method used to read the identification number of the opposite vertex of a given edge.

void TeTin::orderEdges

(

)

Order edges.

void TeTin::point3dListFilter	(	TeTinVertexSet	vertSet,
		double	tol
	)

Method that filters the points that are closer considering a given tolerance

double TeTin::pointToSegmentDistance	(	TeCoord2D	fseg,
		TeCoord2D	lseg,
		TeCoord2D	pt,
		TeCoord2D &	pti
	)

Calculates the distance between a point and a segment.

Parameters:

fseg	segment first point
lseg	segment last point
pt	considered point
pti	intersection point

Returns:

the distance between the point and the segment

bool TeTin::quinticInterpolation	(	TeRaster *&	grid,
		int	interpolator
	)

Fills the grid locations with a zvalue evaluated by a quintic polynomium. (Used to grid)

Parameters:

grid	pointer to output grid
interpolator	interpolator

long TeTinEdge::right

(

)

[inline]

bool TeTin::saveTIN	(	TeDatabase *	db,
		TeLayer *	layer,
		TePolygonSet &	ps,
		TeTable &	attTable
	)

Add polygons in the layer and save attributes table in the database.

Parameters:

db	current database
layer	layer
ps	PolygonSet
attTable	attributes table

TeLayer * TeTin::saveTINdb	(	TeDatabase *	db,
		TeProjection *	proj,
		string &	outLayerName,
		string &	tablename
	)

Saves TIN in the database.

Parameters:

db	current database
outLayerName	layer name that will be created
tablename	attributes table name that will be created

bool TeTin::saveTINdb	(	TeDatabase *	db,
		string &	outLayerName,
		string &	tablename
	)

Saves TIN in the database.

Parameters:

db	current database
outLayerName	layer name that will be created
tablename	attributes table name that will be created

bool TeTin::saveVertexTIN	(	TeDatabase *	db,
		TeLayer *	layer,
		TePointSet &	ps,
		TeTable &	attTable
	)

Add points in the layer and save attributes table in the database.

Parameters:

db	current database
layer	layer
ps	PointSet
attTable	attributes table

bool TeTin::saveVertexTINdb	(	TeDatabase *	db,
		string &	outLayerName,
		string &	tablename
	)

Saves vertex of TIN in the database.

Parameters:

db	current database
outLayerName	layer name that will be created
tablename	attributes table name that will be created

void TeTinTriangle::setEdges	(	long	first,
		long	second,
		long	third
	)		[inline]

void TeTinVertex::setOneEdge

(

long

oneEdge

)

[inline]

void TeTin::setTolerances	(	double	minedgesize = 0,
		double	isoTol = -1,
		double	ptsdist = -1,
		double	breaklineTol = -1
	)

Set triangulation tolerances.

Parameters:

minedgesize	triangulation edges minimum size
isoTol	isolines tolerance
ptsdist	distance of isolines points
breaklineTol	breaklines tolerance

void TeTinEdge::setTriangles	(	long	left,
		long	right
	)		[inline]

void TeTinEdge::setType

(

TeTinEdgeType

type

)

[inline]

void TeTinVertex::setType

(

TeTinVertexType

type

)

[inline]

void TeTinEdge::setVertices	(	long	from,
		long	to
	)		[inline]

int TeTin::sizeTriangles

(

)

[inline]

int TeTin::sizeVertex

(

)

[inline]

bool TeTin::slopeaspectPoint	(	TeCoord2D &	pt,
		double &	s,
		double &	a
	)

Calculates the slope and orientation on the point.

Parameters:

pt	point coordinates
s	slope on the point
a	orientation on the point

void TeTin::slopeTriangle	(	TeTinTriangle &	t,
		double &	slope,
		char	slopetype
	)

Calculates the slope of triangle.

Parameters:

t	TeTinTriangle object
slope	slope of triangle
slopetype	type of slope (g = degres or r = radian)

bool TeTin::swapEdges	(	long	t,
		long	tv,
		long	ai
	)

void TeTinEdge::swapTriangles

(

)

[inline]

void TeTinEdge::swapVertices

(

)

[inline]

bool TeTin::testDelaunay	(	long	t1,
		long	t2,
		long	t3,
		long	t4
	)

bool TeTin::testDelaunay

(

long

e

)

bool TeTin::testDelaunay	(	long	t1,
		long	t2,
		long	t3
	)

bool TeTin::testDelaunay	(	long	t,
		long	v
	)

bool TeTin::testDelaunayAt	(	long	t,
		long	v,
		std::set< long > &	triangles
	)

void TeTin::testDelaunayForVertex	(	long	v,
		std::set< long > &	triangles
	)

bool TeTin::testSmallerAngleAt	(	long	t,
		long	v
	)

Test the angle between two normals.

Parameters:

t	triangle identification
v	neighbor triangle

TeTin::TeTin

(

TeBox &

)

[inline]

TeTinEdge::TeTinEdge	(	long	from,
		long	to,
		long	left,
		long	right,
		TeTinEdgeType	type
	)		[inline]

TeTinTriangle::TeTinTriangle	(	long	first,
		long	second,
		long	third
	)		[inline]

TeTinVertex::TeTinVertex	(	TeCoord2D	xy,
		double	value,
		TeTinVertexType	type,
		long	edge
	)		[inline]

Constructor with parameters.

long TeTinEdge::to

(

)

[inline]

TeTinTriangle& TeTin::triangle

(

long

i

)

[inline]

bool TeTin::triangle3DPoints	(	TeTinTriangle &	t,
		TeCoord2D &	pt0,
		TeCoord2D &	pt1,
		TeCoord2D &	pt2,
		double &	val0,
		double &	val1,
		double &	val2
	)

bool TeTin::triangle3DPoints	(	long	t,
		TeCoord2D &	pt0,
		TeCoord2D &	pt1,
		TeCoord2D &	pt2,
		double &	val0,
		double &	val1,
		double &	val2
	)		[inline]

bool TeTin::triangle3Neighbors	(	long	t,
		long &	neighbor0,
		long &	neighbor1,
		long &	neighbor2
	)

long TeTin::triangleAt

(

TeBox

boxPt

)

long TeTin::triangleAt

(

TeCoord2D &

pt

)

TeTinTriangleIterator TeTin::triangleBegin

(

)

[inline]

bool TeTin::triangleContainsPoint	(	long	t,
		TeCoord2D &	pt
	)		[inline]

bool TeTin::triangleContainsPoint	(	TeTinTriangle &	t,
		TeCoord2D &	pt
	)

TeTinTriangleIterator TeTin::triangleEnd

(

)

[inline]

void TeTin::triangleFirstDeriv

(

)

Calculate first derivative on triangles.

double TeTin::triangleGradient	(	TeTinTriangle &	t,
		char	gradtype,
		char	slopetype
	)

Calculates the gradient of triangle.

Parameters:

t	TeTinTriangle object
gradtype	type of gradient (s = slope or a = aspect)
slopetype	type of slope (g = degres or r = radian)

bool TeTin::trianglePoints	(	long	t,
		TeCoord2D &	pt0,
		TeCoord2D &	pt1,
		TeCoord2D &	pt2
	)		[inline]

bool TeTin::trianglePoints	(	TeTinTriangle &	t,
		TeCoord2D &	pt0,
		TeCoord2D &	pt1,
		TeCoord2D &	pt2
	)

void TeTin::triangleSecondDeriv

(

)

Calculate second derivative on triangles.

long TeTin::triangleVertexAt	(	long	t,
		long	vertex
	)

bool TeTin::triangleVertices	(	long	t,
		long &	vertex0,
		long &	vertex1,
		long &	vertex2
	)		[inline]

bool TeTin::triangleVertices	(	TeTinTriangle &	t,
		long &	vertex0,
		long &	vertex1,
		long &	vertex2
	)

bool TeTin::twoNewTriangles	(	long	t,
		long	v,
		std::set< long > &	triangles
	)

TeTinEdgeType TeTinEdge::type

(

)

[inline]

TeTinVertexType TeTinVertex::type

(

)

[inline]

double TeTinVertex::value

(

)

[inline]

Return the value associated to the measure.

Reimplemented from TeMeasure.

void TeTinVertex::value

(

double

value

)

[inline]

TeTinVertex& TeTin::vertex

(

long

i

)

[inline]

TeTinVertexIterator TeTin::vertexBegin

(

)

[inline]

bool TeTin::vertexClosestPoints	(	long	v,
		std::vector< long > &	clstVert
	)

Method that search the closest points of a specific vertex.

Parameters:

v	vertex identification
clstVert	vector of closest vertex

void TeTin::vertexDerivatives

(

)

Calculate the first and second derivatives in the vertex of a given triangle.

bool TeTin::vertexEdges	(	long	vertex,
		std::list< long > &	edges
	)

TeTinVertexIterator TeTin::vertexEnd

(

)

[inline]

void TeTin::vertexExchange	(	long	oldVertex,
		long	newVertex
	)

void TeTin::vertexFirstDeriv

(

)

Calculate first derivative on vertex.

bool TeTin::vertexOncontour

(

long &

v

)

long TeTin::vertexOppEdge	(	long	triangle,
		long	edge
	)

bool TeTin::vertexOppEdges	(	long	v,
		std::list< long > &	triset,
		std::list< long > &	edges
	)

bool TeTin::vertexOppEdges	(	long	vertex,
		std::list< long > &	edges
	)

bool TeTin::vertexOppVertices	(	long	vertex,
		std::list< long > &	vertices
	)

void TeTin::vertexSecondDeriv

(

)

Calculate second derivative on vertex.

bool TeTin::vertexSecondNeighVertices	(	long	v,
		list< long > &	vertices
	)

bool TeTin::vertexTriangles	(	long	vertex,
		std::list< long > &	triangles
	)

void TeTin::vertexTriangles	(	long	v,
		std::list< long > &	rtri,
		std::list< long > &	ltri
	)

Finds the triangle list sharing a given node.

Parameters:

v	vertex identification number
rtri	list with the triangles at right side
ltri	list with the triangles at left side

void TeTin::writeTriangleEdgesSPRFile	(	std::string &	name,
		TeRaster *	raster
	)

Saves TIN in SPRING file format.

Parameters:

name	File's name

void TeTin::writeTriangleSPRFile	(	std::string	nameVert,
		std::string	nameEdge,
		std::string	nameTriang
	)

---

Variable Documentation

const double TeCDR = 0.01745329251994329576

Conversion factor: degrees to radians.

Examples:

convertCoordinates.cpp, importShape.cpp, and spatialQuery.cpp.

const double TeCRD = 57.29577951308232087679

Conversion factor: radians to degrees.

const double TeEARTHRADIUS = 6378160.

Int. Astronomical Union - 1965.

const double TeMAXFLOAT = 3.4E37

Maximum float value.

const double TeMINFLOAT = 3.4E-37

Minimum float value.

const int TeNAME_LENGTH = 2000

A default name length.

A default name length

const double TePI = 3.14159265358979323846

The ratio of the circumference to the diameter of a circle.

const double TeTinBIGFLOAT = TeMAXFLOAT / 10.

Near Maximum float value - TeMAXFLOAT / 10.