‍** More...

#include <Zone2.h>

Public Member Functions
Zone2 *	convertToBoundedZone ()
	Convert a zone to a bounded zone. More...

void	debug (const char *name="")
	Development function.

void	exportZone (FadeExport &fadeExport, bool bWithCustomIndices) const
	Export triangles from a zone. More...

double	getArea25D () const
	Get 2.5D Area. More...

double	getArea2D () const
	Get 2D Area. More...

void	getBorderEdges (std::vector< Edge2 > &vBorderEdgesOut) const
	Get border edges. More...

void	getBoundarySegments (std::vector< Segment2 > &vSegments) const
	Compute the boundary segments. More...

Bbox2	getBoundingBox () const
	Compute the bounding box.

void	getComponentPolygons (std::vector< CompPolygon > &vCompPolygons) const
	Get connected components and their boundary polygons. More...

ConstraintGraph2 *	getConstraintGraph () const
	Get the associated constraint. More...

void	getConstraintGraphs (std::vector< ConstraintGraph2 * > &vConstraintGraphs_) const
	Get the associated constraint graphs.

ConstraintSegment2 *	getNearbyBoundaryConstraint (Point2 &p, double tolerance)
	Locates the nearest boundary ConstraintSegment2 of the zone within a specified distance. More...

size_t	getNumberOfTriangles () const
	Get the number of triangles. More...

void	getOffsetBoundary (double offset, std::vector< Segment2 > &vOffsetBoundary, double mergeAngleDeg=10.0, double angleStepDeg=20.0)
	Get the boundary of an offset shape. More...

void	getTriangles (std::vector< Triangle2 * > &vTriangles_) const
	Get the triangles of the zone. More...

void	getVertices (std::vector< Point2 * > &vVertices_) const
	Get the vertices of the zone.

ZoneLocation	getZoneLocation () const
	Get the zone location. More...

bool	hasOn (const Point2 &p)
	Checks if the given point lies on the zone or its boundary. More...

bool	hasOnBoundary (const Point2 &p)
	Checks if the given point lies on the boundary of the zone. More...

Triangle2 *	locate (const Point2 &p)
	Locates the triangle containing the given point within the zone. More...

size_t	numberOfConstraintGraphs () const
	Get a the number of ConstraintGraph2 objects. More...

bool	save (const char *filename)
	Save the zone. More...

bool	save (std::ostream &stream)
	Save the zone. More...

bool	shiftToZone (const Point2 &from, double tolerance, Point2 &result)
	Finds a point close to the input point that lies inside the zone. More...

void	show (const char *filename, bool bShowFull, bool bWithConstraints) const
	Postscript- and PDF-visualization. More...

void	show (Visualizer2 *pVisualizer, bool bShowFull, bool bWithConstraints) const
	Postscript- and PDF-visualization. More...

void	showGeomview (const char filename, const char color) const
	Geomview visualization. More...

void	showGeomview (Visualizer3 pVis, const char color) const
	Geomview visualization. More...

void	showVtk (const char *filename, VtkColor zoneColor, VtkColor nonZoneColor=VTK_TRANSPARENT, VtkColor constraintColor=VTK_TRANSPARENT) const
	VTK visualization. More...

void	showVtk (VtkWriter *pVtk, VtkColor zoneColor, VtkColor nonZoneColor=VTK_TRANSPARENT, VtkColor constraintColor=VTK_TRANSPARENT) const
	VTK visualization. More...

void	slopeValleyRidgeOptimization (OptimizationMode om=OPTMODE_BETTER)
	Optimize Slopes, Valleys and Ridges. More...

void	smoothing (int numIterations=2, bool bWithXY=true)
	Smoothing. More...

void	smoothing2 (int numIterations, bool bWithXY, bool bWithConstraintZ)
	Smooths the vertices of the zone. More...

void	statistics (const char *s) const

void	subscribe (MsgType msgType, MsgBase *pMsg)
	Register a message receiver. More...

void	unifyGrid (double tolerance)

void	unsubscribe (MsgType msgType, MsgBase *pMsg)
	Unregister a message receiver. More...

void	writeObj (const char *outFilename) const
	Write the zone to .obj Writes the triangles of the present Zone2 to an .obj file (The *.obj format represents a 3D scene). More...

bool	writePly (const char *filename, bool bASCII=false) const
	Write the zone to a *.ply file. More...

bool	writePly (std::ostream &os, bool bASCII=false) const
	Write the zone to a *.ply file. More...

Protected Member Functions
Zone2 &	operator= (const Zone2 &)

Friends
Zone2 *	peelOffIf (Zone2 pZone, bool bAvoidSplit, PeelPredicateTS pPredicate)
	Peel off border triangles. More...

Zone2 *	peelOffIf (Zone2 pZone, UserPredicateT pPredicate, bool bVerbose)
	Peel off border triangles (deprecated) More...

Zone2 *	zoneDifference (Zone2 pZone0, Zone2 pZone1)
	Computes the difference between two Zone2 objects. More...

Zone2 *	zoneIntersection (Zone2 pZone0, Zone2 pZone1)
	Computes the intersection of two Zone2 objects. More...

Zone2 *	zoneSymmetricDifference (Zone2 pZone0, Zone2 pZone1)
	Computes the symmetric difference between two Zone2 objects. More...

Zone2 *	zoneUnion (Zone2 pZone0, Zone2 pZone1)
	Computes the union of two Zone2 objects. More...

Detailed Description

‍**

Connected component with boundary- and hole polygons

Zone2 is a certain defined area of a triangulation

See also: http://www.geom.at/example4-zones-defined-areas-in-triangulations/; http://www.geom.at/boolean-operations/; createZone in the Fade2D class

Member Function Documentation

◆ convertToBoundedZone()

Zone2* GEOM_FADE25D::Zone2::convertToBoundedZone ( )

Convert a zone to a bounded zone.

The mesh generation algorithms refine() and refineAdvanced() require a zone object that is bounded by constraint segments. This is always the case for zones with zoneLocation ZL_INSIDE but other types of zones may be unbounded. For convenience this method is provided to create a bounded zone from a possibly unbounded one.

Returns: a pointer to a new Zone2 object with zoneLocation ZL_RESULT_BOUNDED or a pointer to the present zone if this->getZoneLocation() is ZL_INSIDE.

◆ exportZone()

void GEOM_FADE25D::Zone2::exportZone	(	FadeExport &	fadeExport,
		bool	bWithCustomIndices
	)		const

Export triangles from a zone.

Parameters

fadeExport	is a struct that will hold the requested triangulation data
bWithCustomIndices	determines whether the custom indices of the points are also stored

◆ getArea25D()

double GEOM_FADE25D::Zone2::getArea25D ( ) const

Get 2.5D Area.

Returns the 2.5D area of the zone.

Note: The getArea() method is deprecated and replaced by getArea2D() and getArea25D()

◆ getArea2D()

double GEOM_FADE25D::Zone2::getArea2D ( ) const

Get 2D Area.

Returns the 2D area of the zone.

Note: The getArea() method is deprecated and replaced by getArea2D() and getArea25D()

◆ getBorderEdges()

void GEOM_FADE25D::Zone2::getBorderEdges ( std::vector< Edge2 > & vBorderEdgesOut ) const

Get border edges.

Returns: : the CCW oriented border edges of the zone

◆ getBoundarySegments()

void GEOM_FADE25D::Zone2::getBoundarySegments ( std::vector< Segment2 > & vSegments ) const

Compute the boundary segments.

Outputs the boundary segments of the zone. These are ccw-oriented but not returned in any specific order.

◆ getComponentPolygons()

void GEOM_FADE25D::Zone2::getComponentPolygons ( std::vector< CompPolygon > & vCompPolygons ) const

Get connected components and their boundary polygons.

This method subdivides the zone into connected components. For each connected component it then returns a CompPolygon object consisting of the triangles, their outer boundary polygon and the hole polygons. Edges are represented by a triangle and an index and they are always counterclockwise (CCW) around the triangle belonging to the Zone2. Thus the outer boundary polygon is ccw-oriented while the polygons of inner holes are cw-oriented.

◆ getConstraintGraph()

ConstraintGraph2* GEOM_FADE25D::Zone2::getConstraintGraph ( ) const

Get the associated constraint.

Returns: a pointer to the ConstraintGraph2 object which defines the zone.
or NULL for ZL_RESULT-, ZL_GROW and ZL_GLOBAL_-zones.

◆ getNearbyBoundaryConstraint()

ConstraintSegment2* GEOM_FADE25D::Zone2::getNearbyBoundaryConstraint	(	Point2 &	p,
		double	tolerance
	)

Locates the nearest boundary ConstraintSegment2 of the zone within a specified distance.

Parameters

p	The point from which to search.
tolerance	The maximum allowed 2D distance between the point and the ConstraintSegment2.

Returns: A pointer to the closest alive ConstraintSegment2 within the tolerance distance, where p has an orthogonal projection, or NULL if no such segment is found.

The first call to Zone2::hasOn(), Zone2::hasOnBoundary(), Zone2::getNearbyBoundaryConstraint(), Zone2::shiftToZone() or Zone2::locate() initializes a search structure. For zones not of type ZL_INSIDE, ZL_BOUNDED, or ZL_GLOBAL, constraint edges are inserted around the zone.

◆ getNumberOfTriangles()

size_t GEOM_FADE25D::Zone2::getNumberOfTriangles ( ) const

Get the number of triangles.

Warning: This method is fast but O(n), so don't call it frequently in a loop.

◆ getOffsetBoundary()

void GEOM_FADE25D::Zone2::getOffsetBoundary	(	double	offset,
		std::vector< Segment2 > &	vOffsetBoundary,
		double	mergeAngleDeg = `10.0`,
		double	angleStepDeg = `20.0`
	)

Get the boundary of an offset shape.

This function computes a zone offset by a specified distance. The result is returned as a vector of oriented Segment2's.

Parameters

	offset	The positive or negative offset distance from the present zone.
[out]	vOffsetBoundary	A vector that will contain the output segments, in arbitrary order, oriented counterclockwise around the resulting shape.
	mergeAngleDeg	If the angle between two offset points of an original vertex is less than this value (in degrees), the points will be merged. Default: 10.0, valid range: greater than 0 and up to 135.
	angleStepDeg	Specifies the angle interval (in degrees) at which circular arcs are sampled using line segments. Default: 20.0, valid range: greater than 0 and up to 135.

◆ getTriangles()

void GEOM_FADE25D::Zone2::getTriangles ( std::vector< Triangle2 * > & vTriangles_ ) const

Get the triangles of the zone.

This command fetches the existing triangles of the zone.

Note: Fade_2D::void applyConstraintsAndZones() must be called after the last insertion of points and constraints.; that the lifetime of data from the Fade2D datastructures does exceed the lifetime of the Fade2D object.

◆ getZoneLocation()

ZoneLocation GEOM_FADE25D::Zone2::getZoneLocation ( ) const

Get the zone location.

Returns: ZL_INSIDE if the zone applies to the triangles inside one or more ConstraintGraph2 objects
ZL_OUTSIDE if the zone applies to the outside triangles
ZL_GLOBAL if the zone applies (dynamically) to all triangles
ZL_RESULT if the zone is the result of a set operation
ZL_GROW if the zone is specified by a set of constraint graphs and an inner point

An ouside zone and in inside zone

◆ hasOn()

bool GEOM_FADE25D::Zone2::hasOn ( const Point2 & p )

Checks if the given point lies on the zone or its boundary.

Parameters

p	The point to check.

Returns: true if the point is on the zone or its boundary, false otherwise.

The first call to Zone2::hasOn(), Zone2::hasOnBoundary(), Zone2::getNearbyBoundaryConstraint(), Zone2::shiftToZone() or Zone2::locate() initializes a search structure. For zones not of type ZL_INSIDE, ZL_BOUNDED, or ZL_GLOBAL, constraint edges are inserted around the zone.

◆ hasOnBoundary()

bool GEOM_FADE25D::Zone2::hasOnBoundary ( const Point2 & p )

Checks if the given point lies on the boundary of the zone.

Parameters

p	The point to check.

Returns: true if the point is on the boundary, false otherwise.

The first call to Zone2::hasOn(), Zone2::hasOnBoundary(), Zone2::getNearbyBoundaryConstraint(), Zone2::shiftToZone() or Zone2::locate() initializes a search structure. For zones not of type ZL_INSIDE, ZL_BOUNDED, or ZL_GLOBAL, constraint edges are inserted around the zone.

◆ locate()

Triangle2* GEOM_FADE25D::Zone2::locate ( const Point2 & p )

Locates the triangle containing the given point within the zone.

Parameters

p	The point to locate.

Returns: A pointer to the Triangle2 if the point is inside the zone, otherwise NULL.

The first call to Zone2::hasOn(), Zone2::hasOnBoundary(), Zone2::getNearbyBoundaryConstraint(), Zone2::shiftToZone() or Zone2::locate() initializes a search structure. For zones not of type ZL_INSIDE, ZL_BOUNDED, or ZL_GLOBAL, constraint edges are inserted around the zone.

◆ numberOfConstraintGraphs()

size_t GEOM_FADE25D::Zone2::numberOfConstraintGraphs ( ) const

Get a the number of ConstraintGraph2 objects.

A Zone2 object might be defined by zero, one or more ConstraintGraph2 objects.

◆ save() [1/2]

bool GEOM_FADE25D::Zone2::save ( const char * filename )

Save the zone.

This command saves the present Zone2 to a binary file. Any constraint edges and custom indices in the domain are retained.

Parameters

[in] filename is the output filename

Returns: whether the operation was successful

Note: A Delaunay triangulation is convex without holes but this may not hold for the zone to be saved. Thus extra triangles may be saved to fill concavities. These extra-triangles will belong to the Fade_2D instance but not to the Zone2 object when reloaded.

See also: save(std::ostream& stream). Use the similar command Fade_2D::saveZones(const char* file, std::vector<Zone2*>& vZones) to store more than just one zone. Use Fade_2D::saveTriangulation() to store all triangles of the triangulation plus any specified zones. Use Fade_2D::load() to reload the data from such files.

◆ save() [2/2]

bool GEOM_FADE25D::Zone2::save ( std::ostream & stream )

Save the zone.

This command saves the present Zone2 to an ostream. Any constraint edges and custom indices in the domain are retained.

Parameters

stream is the output stream

Returns: whether the operation was successful

Note: A Delaunay triangulation is convex without holes but this may not hold for the zone to be saved. Thus extra triangles may be saved to fill concavities. These extra-triangles will belong to the Fade_2D instance but not to the Zone2 object when reloaded.

See also: Use the similar command Fade_2D::saveZones(const char* file, std::vector<Zone2*>& vZones) to store more than just one zone. Use Fade_2D::saveTriangulation() to store all triangles of the triangulation plus any specified zones. Use Fade_2D::load() to reload the data from such files.

◆ shiftToZone()

bool GEOM_FADE25D::Zone2::shiftToZone	(	const Point2 &	from,
		double	tolerance,
		Point2 &	result
	)

Finds a point close to the input point that lies inside the zone.

Parameters

from	A point outside the zone.
tolerance	The maximum allowed 2D distance to find a point within the zone.
result	A reference to store the point found within the zone, close to `from`.

Returns: true if a point within the zone is successfully found or created; false otherwise.

The first call to Zone2::hasOn(), Zone2::hasOnBoundary(), Zone2::getNearbyBoundaryConstraint(), Zone2::shiftToZone() or Zone2::locate() initializes a search structure. For zones not of type ZL_INSIDE, ZL_BOUNDED, or ZL_GLOBAL, constraint edges are inserted around the zone.

◆ show() [1/2]

void GEOM_FADE25D::Zone2::show	(	const char *	filename,
		bool	bShowFull,
		bool	bWithConstraints
	)		const

Postscript- and PDF-visualization.

Parameters

filename	is the name of the output file.
bShowFull	specifies if only the zone or the full triangulation shall be drawn
bWithConstraints	specifies if constraint edges shall be drawn

◆ show() [2/2]

void GEOM_FADE25D::Zone2::show	(	Visualizer2 *	pVisualizer,
		bool	bShowFull,
		bool	bWithConstraints
	)		const

Postscript- and PDF-visualization.

Parameters

pVisualizer is a pointer to an existing Visualizer2 object drawing a .ps or .pdf file

Note: You must call pVisualizer->writeFile() before program end

Parameters

bShowFull	specifies if only the zone or the full triangulation shall be drawn
bWithConstraints	specifies if constraint edges shall be drawn

◆ showGeomview() [1/2]

void GEOM_FADE25D::Zone2::showGeomview	(	const char *	filename,
		const char *	color
	)		const

Geomview visualization.

Parameters

filename	is the name of the output file.
color	is a string ("red green blue alpha"), e.g., "1.0 0.0 0.0 1.0"*

◆ showGeomview() [2/2]

void GEOM_FADE25D::Zone2::showGeomview	(	Visualizer3 *	pVis,
		const char *	color
	)		const

Geomview visualization.

Parameters

pVis	points to a Visualizer3 object
color	is a string ("red green blue alpha"), e.g., "1.0 0.0 0.0 1.0"*

◆ showVtk() [1/2]

void GEOM_FADE25D::Zone2::showVtk	(	const char *	filename,
		VtkColor	zoneColor,
		VtkColor	nonZoneColor = `VTK_TRANSPARENT`,
		VtkColor	constraintColor = `VTK_TRANSPARENT`
	)		const

VTK visualization.

Parameters

filename	The name of the output file.
zoneColor	The color for the zone's triangles
nonZoneColor	The color of the non-zone-triangles. Use VTK_TRANSPARENT to prevent them from being drawn.
constraintColor	The color of the constraint edges. Use VTK_TRANSPARENT to prevent them from being drawn.

◆ showVtk() [2/2]

void GEOM_FADE25D::Zone2::showVtk	(	VtkWriter *	pVtk,
		VtkColor	zoneColor,
		VtkColor	nonZoneColor = `VTK_TRANSPARENT`,
		VtkColor	constraintColor = `VTK_TRANSPARENT`
	)		const

VTK visualization.

Parameters

pVtk	A VtkWriter object that may already contain other geometric objects
zoneColor	The color for the zone's triangles
nonZoneColor	The color of the non-zone-triangles. Use VTK_TRANSPARENT to prevent them from being drawn.
constraintColor	The color of the constraint edges. Use VTK_TRANSPARENT to prevent them from being drawn.

Note: pVtk->writeFile() finally writes the .vtk file.

◆ slopeValleyRidgeOptimization()

void GEOM_FADE25D::Zone2::slopeValleyRidgeOptimization ( OptimizationMode om = OPTMODE_BETTER )

Optimize Slopes, Valleys and Ridges.

A pure Delaunay triangulation takes only the x and y coordinates into account. However, for terrain scans, it is important to consider the z coordinate as well, otherwise ridges, valleys and rivers will look unnatural. This method leaves the points constant, but uses edge flips to change the connectivity, making the surface smoother overall.

Parameters

om	is the optimization mode: OPTMODE_NORMAL is the fastest. OPTMODE_BETTER provides significantly better results while still taking a moderate amount of time. OPTMODE_BEST delivers the best results, but also has a significantly higher time requirement. This method supports the progress-bar mechanism.

Note: Flipping edges makes the triangulation non-delaunay, i.e. the empty-circle-property is then no longer given. Improving the smoothness of the surface by edge flips also means degrading the interior angles of the triangles (to a certain degree).

◆ smoothing()

void GEOM_FADE25D::Zone2::smoothing	(	int	numIterations = `2`,
		bool	bWithXY = `true`
	)

Smoothing.

Deprecated method: This method is deprecated and retained for backwards compatibility. It is recommended to use the new method smoothing2() instead for better results.

Weighted laplacian smoothing for the z-coordinate of all zone vertices. The x and y coordinates can also be optimized but only for vertices not belonging to the boundary of the zone or to constraint edges. This method is very fast but does nevertheless support the progress bar mechanism.

Parameters

numIterations	is the number of smoothing passes.
bWithXY	specifies if the x and y coordinates are also adapted.

◆ smoothing2()

void GEOM_FADE25D::Zone2::smoothing2	(	int	numIterations,
		bool	bWithXY,
		bool	bWithConstraintZ
	)

Smooths the vertices of the zone.

This function performs a weighted Laplacian smoothing on the vertices of the Zone2. We distinguish between two types of vertices:

Static vertices: Belong to constraint-edges or border-edges of the Zone2.
Dynamic vertices: All other vertices.

Parameters

numIterations	Number of smoothing iterations to perform. Higher values yield smoother results; 2-3 passes are recommended.
bWithXY	Boolean flag to determine if the x- and y-coordinates of dynamic vertices should also be adjusted.
bConstraintsWithZ	Boolean flag to control whether the z-coordinates of static vertices are also updated by the smoothing process.

Note

The x- and y-coordinates of static vertices are never changed.
The z-coordinates of dynamic vertices can always change, regardless of the value of bConstraintsWithZ.

◆ statistics()

void GEOM_FADE25D::Zone2::statistics ( const char * s ) const

Statistics

Prints statistics to stdout.

◆ subscribe()

void GEOM_FADE25D::Zone2::subscribe	(	MsgType	msgType,
		MsgBase *	pMsg
	)

Register a message receiver.

Parameters

msgType	is the type of message the subscriber shall receive, e.g. MSG_PROGRESS or MSG_WARNING
pMsg	is a pointer to a custom class derived from MsgBase

◆ unifyGrid()

void GEOM_FADE25D::Zone2::unifyGrid ( double tolerance )

Unify Grid

A Delaunay triangulation is not unique when when 2 or more triangles lie on a common circle. As a consequence the four corners of a rectangle can be triangulated in two different ways: Either the diagonal proceeds from the lower left to the upper right corner or it connects the other two corners. Both solutions are valid and an arbitrary one is applied when points are triangulated. To improve the repeatability and for reasons of visual appearance this method unifies such diagonals to point from the lower left to the upper right corner (or in horizontal direction).

Parameters

tolerance is 0 when only exact cases of more than 3 points on a common circumcircle shall be changed. But in practice input data can be disturbed by noise and tiny rounding errors such that grid points are not exactly on a grid. The numeric error is computed as $error=\frac{abs(diagonalA-diagonalB)}{max(diagonalA,diagonalB)}$ . and tolerance is an upper threshold to allow modification despite such tiny inaccuracies. Use with caution, such flips break the empty circle property and this may or may not fit your setting.

◆ unsubscribe()

void GEOM_FADE25D::Zone2::unsubscribe	(	MsgType	msgType,
		MsgBase *	pMsg
	)

Unregister a message receiver.

Parameters

msgType	is the type of message the subscriber shall not receive anymore
pMsg	is a pointer to a custom class derived from MsgBase

◆ writeObj()

void GEOM_FADE25D::Zone2::writeObj ( const char * outFilename ) const

Write the zone to *.obj Writes the triangles of the present Zone2 to an *.obj file (The *.obj format represents a 3D scene).

Parameters

outFilename is the output filename

◆ writePly() [1/2]

bool GEOM_FADE25D::Zone2::writePly	(	const char *	filename,
		bool	bASCII = `false`
	)		const

Write the zone to a *.ply file.

Parameters

filename	is the output filename
bASCII	specifies whether to write the *.ply in ASCII or binary format

Note: Method available for platforms with C++11

◆ writePly() [2/2]

bool GEOM_FADE25D::Zone2::writePly	(	std::ostream &	os,
		bool	bASCII = `false`
	)		const

Write the zone to a *.ply file.

Parameters

os	is the output file
bASCII	specifies whether to write the *.ply in ASCII or binary format

Note: Method available for platforms with C++11

Friends And Related Function Documentation

◆ peelOffIf [1/2]

Zone2* peelOffIf	(	Zone2 *	pZone,
		bool	bAvoidSplit,
		PeelPredicateTS *	pPredicate
	)

friend

Peel off border triangles.

Parameters

pZone	is the input zone
bAvoidSplit	if true, then the algorithm removes a triangle only if it does not break the zone into independent components.
pPredicate	is a user-defined predicate that decides if a triangle shall be removed.

Returns: a new zone containing a subset of the triangles of pZone or NULL if no triangles remain.

◆ peelOffIf [2/2]

Zone2* peelOffIf	(	Zone2 *	pZone,
		UserPredicateT *	pPredicate,
		bool	bVerbose
	)

friend

Peel off border triangles (deprecated)

This function is DEPRECATED but kept for backwards compatibility. The new and better function is: peelOffIf(Zone2* pZone, bool bAvoidSplit,PeelPredicateTS* pPredicate)

Parameters

pZone
pPredicate
bVerbose

Returns: a new zone containing a subset of the triangles of pZone or NULL if no triangles remain.

◆ zoneDifference

Zone2* zoneDifference	(	Zone2 *	pZone0,
		Zone2 *	pZone1
	)

friend

Computes the difference between two Zone2 objects.

This function returns a pointer to a new Zone2 object representing the difference between the two input zones. The difference is the area covered by the first zone that is not covered by the second zone. The input zones must belong to the same Fade_2D object.

Parameters

pZone0	Pointer to the first Zone2 object.
pZone1	Pointer to the second Zone2 object.

Returns: Zone2* A pointer to the resulting Zone2 object representing the difference. If the result is empty, the function returns NULL.

◆ zoneIntersection

Zone2* zoneIntersection	(	Zone2 *	pZone0,
		Zone2 *	pZone1
	)

friend

Computes the intersection of two Zone2 objects.

This function returns a pointer to a new Zone2 object representing the intersection of the two input zones. The intersection is the area covered by both of the input zones. The input zones must belong to the same Fade_2D object.

Parameters

pZone0	Pointer to the first Zone2 object.
pZone1	Pointer to the second Zone2 object.

Returns: Zone2* A pointer to the resulting Zone2 object representing the intersection. If the result is empty, the function returns NULL.

◆ zoneSymmetricDifference

Zone2* zoneSymmetricDifference	(	Zone2 *	pZone0,
		Zone2 *	pZone1
	)

friend

Computes the symmetric difference between two Zone2 objects.

This function returns a pointer to a new Zone2 object representing the symmetric difference between the two input zones. The symmetric difference is the area covered by either of the input zones but not by both. The input zones must belong to the same Fade_2D object.

Parameters

pZone0	Pointer to the first Zone2 object.
pZone1	Pointer to the second Zone2 object.

Returns: Zone2* A pointer to the resulting Zone2 object representing the symmetric difference. If the result is empty, the function returns NULL.

◆ zoneUnion

Zone2* zoneUnion	(	Zone2 *	pZone0,
		Zone2 *	pZone1
	)

friend

Computes the union of two Zone2 objects.

This function returns a pointer to a new Zone2 object representing the union of the two input zones. The union is the area covered by either of the input zones. The input zones must belong to the same Fade_2D object.

Parameters

pZone0	Pointer to the first Zone2 object.
pZone1	Pointer to the second Zone2 object.

Returns: Zone2* A pointer to the resulting Zone2 object representing the union.

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

Zone2.h

Public Member Functions

Protected Member Functions

Friends

Detailed Description

Member Function Documentation

◆ convertToBoundedZone()

◆ exportZone()

◆ getArea25D()

◆ getArea2D()

◆ getBorderEdges()

◆ getBoundarySegments()

◆ getComponentPolygons()

◆ getConstraintGraph()

◆ getNearbyBoundaryConstraint()

◆ getNumberOfTriangles()

◆ getOffsetBoundary()

◆ getTriangles()

◆ getZoneLocation()

◆ hasOn()

◆ hasOnBoundary()

◆ locate()

◆ numberOfConstraintGraphs()

◆ save() [1/2]

◆ save() [2/2]

◆ shiftToZone()

◆ show() [1/2]

◆ show() [2/2]

◆ showGeomview() [1/2]

◆ showGeomview() [2/2]

◆ showVtk() [1/2]

◆ showVtk() [2/2]

◆ slopeValleyRidgeOptimization()

◆ smoothing()

◆ smoothing2()

◆ statistics()

◆ subscribe()

◆ unifyGrid()

◆ unsubscribe()

◆ writeObj()

◆ writePly() [1/2]

◆ writePly() [2/2]

Friends And Related Function Documentation

◆ peelOffIf [1/2]

◆ peelOffIf [2/2]

◆ zoneDifference

◆ zoneIntersection

◆ zoneSymmetricDifference

◆ zoneUnion