Open CASCADE Technology 6.6.0
Public Member Functions
GCPnts_UniformDeflection Class Reference

Provides an algorithm to compute a distribution of
points on a 'C2' continuous curve. The algorithm
respects a criterion of maximum deflection between
the curve and the polygon that results from the computed points.
Note: This algorithm is relatively time consuming. A
GCPnts_QuasiUniformDeflection algorithm is
quicker; it can also work with non-'C2' continuous
curves, but it generates more points in the distribution.

#include <GCPnts_UniformDeflection.hxx>

Public Member Functions

 GCPnts_UniformDeflection ()
 Constructs an empty algorithm. To define the problem
to be solved, use the function Initialize.

 GCPnts_UniformDeflection (Adaptor3d_Curve &C, const Standard_Real Deflection, const Standard_Boolean WithControl=Standard_True)
 Computes a uniform Deflection distribution of points on
the Curve .
if <WithControl> is True,the algorithm controls the estimate
deflection

 GCPnts_UniformDeflection (Adaptor2d_Curve2d &C, const Standard_Real Deflection, const Standard_Boolean WithControl=Standard_True)
 Computes a uniform Deflection distribution of points on
the Curve .
if <WithControl> is True,the algorithm controls the estimate
deflection

 GCPnts_UniformDeflection (Adaptor3d_Curve &C, const Standard_Real Deflection, const Standard_Real U1, const Standard_Real U2, const Standard_Boolean WithControl=Standard_True)
 Computes a Uniform Deflection distribution of points
on a part of the Curve .
if <WithControl> is True,the algorithm controls the estimate
deflection

 GCPnts_UniformDeflection (Adaptor2d_Curve2d &C, const Standard_Real Deflection, const Standard_Real U1, const Standard_Real U2, const Standard_Boolean WithControl=Standard_True)
 Computes a Uniform Deflection distribution of points
on a part of the Curve .
if <WithControl> is True,the algorithm controls the estimate
deflection

void Initialize (Adaptor3d_Curve &C, const Standard_Real Deflection, const Standard_Boolean WithControl=Standard_True)
 Initialize the algoritms with , <Deflection>

void Initialize (Adaptor2d_Curve2d &C, const Standard_Real Deflection, const Standard_Boolean WithControl=Standard_True)
 Initialize the algoritms with , <Deflection>

void Initialize (Adaptor3d_Curve &C, const Standard_Real Deflection, const Standard_Real U1, const Standard_Real U2, const Standard_Boolean WithControl=Standard_True)
 Initialize the algoritms with , <Deflection>,
<U1>,<U2>

void Initialize (Adaptor2d_Curve2d &C, const Standard_Real Deflection, const Standard_Real U1, const Standard_Real U2, const Standard_Boolean WithControl=Standard_True)
 Initialize the algoritms with , <Deflection>,
<U1>,<U2>
This and the above methods initialize (or reinitialize) this algorithm and
compute a distribution of points:

Standard_Boolean IsDone () const
 Returns true if the computation was successful.
IsDone is a protection against:

Standard_Integer NbPoints () const
 Returns the number of points of the distribution
computed by this algorithm.
Exceptions
StdFail_NotDone if this algorithm has not been
initialized, or if the computation was not successful.

Standard_Real Parameter (const Standard_Integer Index) const
 Returns the parameter of the point of index Index in
the distribution computed by this algorithm.
Warning
Index must be greater than or equal to 1, and less
than or equal to the number of points of the
distribution. However, pay particular attention as this
condition is not checked by this function.
Exceptions
StdFail_NotDone if this algorithm has not been
initialized, or if the computation was not successful.

gp_Pnt Value (const Standard_Integer Index) const
 Returns the point of index Index in the distribution
computed by this algorithm.
Warning
Index must be greater than or equal to 1, and less
than or equal to the number of points of the
distribution. However, pay particular attention as this
condition is not checked by this function.
Exceptions
StdFAil_NotDone if this algorithm has not been
initialized, or if the computation was not successful.

Standard_Real Deflection () const
 Returns the deflection between the curve and the
polygon resulting from the points of the distribution
computed by this algorithm.
This value is the one given to the algorithm at the
time of construction (or initialization).
Exceptions
StdFail_NotDone if this algorithm has not been
initialized, or if the computation was not successful.


Constructor & Destructor Documentation

GCPnts_UniformDeflection::GCPnts_UniformDeflection ( )
GCPnts_UniformDeflection::GCPnts_UniformDeflection ( Adaptor3d_Curve C,
const Standard_Real  Deflection,
const Standard_Boolean  WithControl = Standard_True 
)
GCPnts_UniformDeflection::GCPnts_UniformDeflection ( Adaptor2d_Curve2d C,
const Standard_Real  Deflection,
const Standard_Boolean  WithControl = Standard_True 
)
GCPnts_UniformDeflection::GCPnts_UniformDeflection ( Adaptor3d_Curve C,
const Standard_Real  Deflection,
const Standard_Real  U1,
const Standard_Real  U2,
const Standard_Boolean  WithControl = Standard_True 
)
GCPnts_UniformDeflection::GCPnts_UniformDeflection ( Adaptor2d_Curve2d C,
const Standard_Real  Deflection,
const Standard_Real  U1,
const Standard_Real  U2,
const Standard_Boolean  WithControl = Standard_True 
)

Member Function Documentation

Standard_Real GCPnts_UniformDeflection::Deflection ( ) const
void GCPnts_UniformDeflection::Initialize ( Adaptor2d_Curve2d C,
const Standard_Real  Deflection,
const Standard_Real  U1,
const Standard_Real  U2,
const Standard_Boolean  WithControl = Standard_True 
)
  • on the curve C, or
  • on the part of curve C limited by the two
    parameter values U1 and U2,
    where the maximum distance between C and the
    polygon that results from the points of the
    distribution is not greater than Deflection.
    The first point of the distribution is either the origin
    of curve C or the point of parameter U1. The last
    point of the distribution is either the end point of
    curve C or the point of parameter U2. Intermediate
    points of the distribution are built using
    interpolations of segments of the curve limited at
    the 2nd degree. The construction ensures, in a first
    step, that the chordal deviation for this
    interpolation of the curve is less than or equal to
    Deflection. However, it does not ensure that the
    chordal deviation for the curve itself is less than or
    equal to Deflection. To do this a check is
    necessary, which may generate (second step)
    additional intermediate points. This check is time
    consuming, and can be avoided by setting
    WithControl to false. Note that by default
    WithControl is true and check is performed.
    Use the function IsDone to verify that the
    computation was successful, the function NbPoints
    to obtain the number of points of the computed
    distribution, and the function Parameter to read
    the parameter of each point.
    Warning
  • C is necessary, 'C2' continuous. This property is
    not checked at construction time.
  • The roles of U1 and U2 are inverted if U1 > U2.
    Warning
    C is an adapted curve, i.e. an object which is an interface between:
  • the services provided by either a 2D curve from
    the package Geom2d (in the case of an
    Adaptor2d_Curve2d curve) or a 3D curve from
    the package Geom (in the case of an Adaptor3d_Curve curve),
  • and those required on the curve by the computation algorithm.
void GCPnts_UniformDeflection::Initialize ( Adaptor3d_Curve C,
const Standard_Real  Deflection,
const Standard_Boolean  WithControl = Standard_True 
)
void GCPnts_UniformDeflection::Initialize ( Adaptor2d_Curve2d C,
const Standard_Real  Deflection,
const Standard_Boolean  WithControl = Standard_True 
)
void GCPnts_UniformDeflection::Initialize ( Adaptor3d_Curve C,
const Standard_Real  Deflection,
const Standard_Real  U1,
const Standard_Real  U2,
const Standard_Boolean  WithControl = Standard_True 
)
Standard_Boolean GCPnts_UniformDeflection::IsDone ( ) const
  • non-convergence of the algorithm
  • querying the results before computation.
Standard_Integer GCPnts_UniformDeflection::NbPoints ( ) const
Standard_Real GCPnts_UniformDeflection::Parameter ( const Standard_Integer  Index) const
gp_Pnt GCPnts_UniformDeflection::Value ( const Standard_Integer  Index) const

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