GProp_PEquation Class Reference

A framework to analyze a collection - or cloud
More...

#include <GProp_PEquation.hxx>

Public Member Functions
	GProp_PEquation (const TColgp_Array1OfPnt &Pnts, const Standard_Real Tol)
	Constructs a framework to analyze the <br> collection of points Pnts and computes: More...
Standard_Boolean	IsPlanar () const
	Returns true if, according to the given <br> tolerance, the points analyzed by this framework are coplanar. Use the function Plane to access the computed result. More...
Standard_Boolean	IsLinear () const
	Returns true if, according to the given <br> tolerance, the points analyzed by this framework are colinear. Use the function Line to access the computed result. More...
Standard_Boolean	IsPoint () const
	Returns true if, according to the given <br> tolerance, the points analyzed by this framework are coincident. Use the function Point to access the computed result. More...
Standard_Boolean	IsSpace () const
	Returns true if, according to the given <br> tolerance value, the points analyzed by this framework are neither coincident, nor collinear, nor coplanar. Use the function Box to query the smallest box that includes the collection of points. More...
gp_Pln	Plane () const
	Returns the mean plane passing near all the <br> points analyzed by this framework if, according to the given precision, the points are considered to be coplanar. Exceptions Standard_NoSuchObject if, according to the given precision value, the points analyzed by this framework are considered to be: More...
gp_Lin	Line () const
	Returns the mean line passing near all the <br> points analyzed by this framework if, according to the given precision value, the points are considered to be collinear. Exceptions Standard_NoSuchObject if, according to the given precision, the points analyzed by this framework are considered to be: More...
gp_Pnt	Point () const
	Returns the mean point of all the points <br> analyzed by this framework if, according to the given precision, the points are considered to be coincident. Exceptions Standard_NoSuchObject if, according to the given precision, the points analyzed by this framework are not considered to be coincident. More...
void	Box (gp_Pnt &P, gp_Vec &V1, gp_Vec &V2, gp_Vec &V3) const
	Returns the definition of the smallest box which <br> contains all the points analyzed by this framework if, according to the given precision value, the points are considered to be neither coincident, nor collinear and nor coplanar. This box is centered on the barycenter P of the collection of points. Its sides are parallel to the three vectors V1, V2 and V3, the length of which is the length of the box in the corresponding direction. Note: Vectors V1, V2 and V3 are parallel to the three axes of principal inertia of the system composed of the collection of points where each point is of equal mass. Exceptions Standard_NoSuchObject if, according to the given precision, the points analyzed by this framework are considered to be coincident, collinear or coplanar. More...

Detailed Description

A framework to analyze a collection - or cloud

• of points and to verify if they are coincident,
  collinear or coplanar within a given precision. If
  so, it also computes the mean point, the mean
  line or the mean plane of the points. If not, it
  computes the minimal box which includes all the points.
  

Constructor & Destructor Documentation

GProp_PEquation::GProp_PEquation	(	const TColgp_Array1OfPnt &	Pnts,
		const Standard_Real	Tol
	)

 Constructs a framework to analyze the <br>

collection of points Pnts and computes:

• the mean point if the points in question are
  considered to be coincident within the precision Tol, or
  
• the mean line if they are considered to be
  collinear within the precision Tol, or
  
• the mean plane if they are considered to be
  coplanar within the precision Tol, or
  
• the minimal box which contains all the points. Use :
  
• the functions IsPoint, IsLinear, IsPlanar
  and IsSpace to find the result of the analysis, and
  
• the function Point, Line, Plane or Box to
  access the computed result.
  

Member Function Documentation

void GProp_PEquation::Box	(	gp_Pnt &	P,
		gp_Vec &	V1,
		gp_Vec &	V2,
		gp_Vec &	V3
	)		const

 Returns the definition of the smallest box which <br>

contains all the points analyzed by this
framework if, according to the given precision
value, the points are considered to be neither
coincident, nor collinear and nor coplanar.
This box is centered on the barycenter P of the
collection of points. Its sides are parallel to the
three vectors V1, V2 and V3, the length of
which is the length of the box in the corresponding direction.
Note: Vectors V1, V2 and V3 are parallel to
the three axes of principal inertia of the system
composed of the collection of points where each point is of equal mass.
Exceptions
Standard_NoSuchObject if, according to the given precision,
the points analyzed by this framework are considered to be coincident, collinear or coplanar.

Standard_Boolean GProp_PEquation::IsLinear

(

)

const

  Returns true if, according to the given <br>

tolerance, the points analyzed by this framework are colinear.
Use the function Line to access the computed result.

Standard_Boolean GProp_PEquation::IsPlanar

(

)

const

 Returns true if, according to the given <br>

tolerance, the points analyzed by this framework are coplanar.
Use the function Plane to access the computed result.

Standard_Boolean GProp_PEquation::IsPoint

(

)

const

  Returns true if, according to the given <br>

tolerance, the points analyzed by this framework are coincident.
Use the function Point to access the computed result.

Standard_Boolean GProp_PEquation::IsSpace

(

)

const

 Returns true if, according to the given <br>

tolerance value, the points analyzed by this
framework are neither coincident, nor collinear, nor coplanar.
Use the function Box to query the smallest box
that includes the collection of points.

gp_Lin GProp_PEquation::Line

(

)

const

 Returns the mean line passing near all the <br>

points analyzed by this framework if, according
to the given precision value, the points are considered to be collinear.
Exceptions
Standard_NoSuchObject if, according to the
given precision, the points analyzed by this
framework are considered to be:

• coincident, or
  
• not collinear.
  

gp_Pln GProp_PEquation::Plane

(

)

const

 Returns the mean plane passing near all the <br>

points analyzed by this framework if, according
to the given precision, the points are considered to be coplanar.
Exceptions
Standard_NoSuchObject if, according to the
given precision value, the points analyzed by
this framework are considered to be:

• coincident, or
  
• collinear, or
  
• not coplanar.
  

gp_Pnt GProp_PEquation::Point

(

)

const

 Returns the mean point of all the points <br>

analyzed by this framework if, according to the
given precision, the points are considered to be coincident.
Exceptions
Standard_NoSuchObject if, according to the
given precision, the points analyzed by this
framework are not considered to be coincident.

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

• GProp_PEquation.hxx