Complements standard tool Geom_Surface by providing additional functionality for detection surface singularities, checking spatial surface closure and computing projections of 3D points onto a surface. More...
#include <ShapeAnalysis_Surface.hxx>
Public Member Functions | |
| ShapeAnalysis_Surface (const Handle< Geom_Surface > &S) | |
| Creates an analyzer object on the basis of existing surface. More... | |
| void | Init (const Handle< Geom_Surface > &S) |
| Loads existing surface. More... | |
| void | Init (const Handle< ShapeAnalysis_Surface > &other) |
| Reads all the data from another Surface, without recomputing. More... | |
| void | SetDomain (const Standard_Real U1, const Standard_Real U2, const Standard_Real V1, const Standard_Real V2) |
| const Handle< Geom_Surface > & | Surface () const |
| Returns a surface being analyzed. More... | |
| const Handle< GeomAdaptor_HSurface > & | Adaptor3d () |
| Returns the Adaptor. Creates it if not yet done. More... | |
| const Handle< GeomAdaptor_HSurface > & | TrueAdaptor3d () const |
| Returns the Adaptor (may be Null if method Adaptor() was not called) More... | |
| Standard_Real | Gap () const |
| Returns 3D distance found by one of the following methods. IsDegenerated, DegeneratedValues, ProjectDegenerated (distance between 3D point and found or last (if not found) singularity), IsUClosed, IsVClosed (minimum value of precision to consider the surface to be closed), ValueOfUV (distance between 3D point and found solution). More... | |
| gp_Pnt | Value (const Standard_Real u, const Standard_Real v) |
| Returns a 3D point specified by parameters in surface parametrical space. More... | |
| gp_Pnt | Value (const gp_Pnt2d &p2d) |
| Returns a 3d point specified by a point in surface parametrical space. More... | |
| Standard_Boolean | HasSingularities (const Standard_Real preci) |
| Returns True if the surface has singularities for the given precision (i.e. if there are surface singularities with sizes not greater than precision). More... | |
| Standard_Integer | NbSingularities (const Standard_Real preci) |
| Returns the number of singularities for the given precision (i.e. number of surface singularities with sizes not greater than precision). More... | |
| Standard_Boolean | Singularity (const Standard_Integer num, Standard_Real &preci, gp_Pnt &P3d, gp_Pnt2d &firstP2d, gp_Pnt2d &lastP2d, Standard_Real &firstpar, Standard_Real &lastpar, Standard_Boolean &uisodeg) |
| Returns the characteristics of the singularity specified by its rank number <num>. That means, that it is not neccessary for <num> to be in the range [1, NbSingularities] but must be not greater than possible (see ComputeSingularities). The returned characteristics are: preci: the smallest precision with which the iso-line is considered as degenerated, P3d: 3D point of singularity (middle point of the surface iso-line), firstP2d and lastP2d: first and last 2D points of the iso-line in parametrical surface, firstpar and lastpar: first and last parameters of the iso-line in parametrical surface, uisodeg: if the degenerated iso-line is U-iso (True) or V-iso (False). Returns False if <num> is out of range, else returns True. More... | |
| Standard_Boolean | IsDegenerated (const gp_Pnt &P3d, const Standard_Real preci) |
| Returns True if there is at least one surface boundary which is considered as degenerated with <preci> and distance between P3d and corresponding singular point is less than <preci> More... | |
| Standard_Boolean | DegeneratedValues (const gp_Pnt &P3d, const Standard_Real preci, gp_Pnt2d &firstP2d, gp_Pnt2d &lastP2d, Standard_Real &firstpar, Standard_Real &lastpar, const Standard_Boolean forward=Standard_True) |
| Returns True if there is at least one surface iso-line which is considered as degenerated with <preci> and distance between P3d and corresponding singular point is less than <preci> (like IsDegenerated). Returns characteristics of the first found boundary matching those criteria. More... | |
| Standard_Boolean | ProjectDegenerated (const gp_Pnt &P3d, const Standard_Real preci, const gp_Pnt2d &neighbour, gp_Pnt2d &result) |
| Projects a point <P3d> on a singularity by computing one of the coordinates of preliminary computed <result>. More... | |
| Standard_Boolean | ProjectDegenerated (const Standard_Integer nbrPnt, const TColgp_Array1OfPnt &points, TColgp_Array1OfPnt2d &pnt2d, const Standard_Real preci, const Standard_Boolean direct) |
| Checks points at the beginning (direct is True) or end (direct is False) of array <points> to lie in singularity of surface, and if yes, adjusts the indeterminate 2d coordinate of these points by nearest point which is not in singularity. Returns True if some points were adjusted. More... | |
| Standard_Boolean | IsDegenerated (const gp_Pnt2d &p2d1, const gp_Pnt2d &p2d2, const Standard_Real tol, const Standard_Real ratio) |
| Returns True if straight pcurve going from point p2d1 to p2d2 is degenerate, i.e. lies in the singularity of the surface. NOTE: it uses another method of detecting singularity than used by ComputeSingularities() et al.! For that, maximums of distances between points p2d1, p2d2 and 0.5*(p2d1+p2d2) and between corresponding 3d points are computed. The pcurve (p2d1, p2d2) is considered as degenerate if: More... | |
| void | Bounds (Standard_Real &ufirst, Standard_Real &ulast, Standard_Real &vfirst, Standard_Real &vlast) const |
| Returns the bounds of the surface (from Bounds from Surface, but buffered) More... | |
| void | ComputeBoundIsos () |
| Computes bound isos (protected against exceptions) More... | |
| Handle< Geom_Curve > | UIso (const Standard_Real U) |
| Returns a U-Iso. Null if not possible or failed Remark : bound isos are buffered. More... | |
| Handle< Geom_Curve > | VIso (const Standard_Real V) |
| Returns a V-Iso. Null if not possible or failed Remark : bound isos are buffered. More... | |
| Standard_Boolean | IsUClosed (const Standard_Real preci=-1) |
| Tells if the Surface is spatially closed in U with given precision. If <preci> < 0 then Precision::Confusion is used. If Geom_Surface says that the surface is U-closed, this method also says this. Otherwise additional analysis is performed, comparing given precision with the following distances: More... | |
| Standard_Boolean | IsVClosed (const Standard_Real preci=-1) |
| Tells if the Surface is spatially closed in V with given precision. If <preci> < 0 then Precision::Confusion is used. If Geom_Surface says that the surface is V-closed, this method also says this. Otherwise additional analysis is performed, comparing given precision with the following distances: More... | |
| gp_Pnt2d | ValueOfUV (const gp_Pnt &P3D, const Standard_Real preci) |
| Computes the parameters in the surface parametrical space of 3D point. The result is parameters of the point projected onto the surface. This method enhances functionality provided by the standard tool GeomAPI_ProjectPointOnSurface by treatment of cases when the projected point is near to the surface boundaries and when this standard tool fails. More... | |
| gp_Pnt2d | NextValueOfUV (const gp_Pnt2d &p2dPrev, const gp_Pnt &P3D, const Standard_Real preci, const Standard_Real maxpreci=-1.0) |
| Projects a point P3D on the surface. Does the same thing as ValueOfUV but tries to optimize computations by taking into account previous point <p2dPrev>: makes a step by UV and tries Newton algorithm. If <maxpreci> >0. and distance between solution and P3D is greater than <maxpreci>, that solution is considered as bad, and ValueOfUV() is used. If not succeded, calls ValueOfUV() More... | |
| Standard_Real | UVFromIso (const gp_Pnt &P3D, const Standard_Real preci, Standard_Real &U, Standard_Real &V) |
| Tries a refinement of an already computed couple (U,V) by using projecting 3D point on iso-lines: More... | |
| Standard_Real | UCloseVal () const |
| Returns minimum value to consider the surface as U-closed. More... | |
| Standard_Real | VCloseVal () const |
| Returns minimum value to consider the surface as V-closed. More... | |
| const Bnd_Box & | GetBoxUF () |
| const Bnd_Box & | GetBoxUL () |
| const Bnd_Box & | GetBoxVF () |
| const Bnd_Box & | GetBoxVL () |
 Public Member Functions inherited from MMgt_TShared | |
| virtual void | Delete () const override |
| Memory deallocator for transient classes. More... | |
| Public Member Functions inherited from Standard_Transient | |
| Standard_Transient () | |
| Empty constructor. More... | |
| Standard_Transient (const Standard_Transient &) | |
| Copy constructor – does nothing. More... | |
| Standard_Transient & | operator= (const Standard_Transient &) |
| Assignment operator, needed to avoid copying reference counter. More... | |
| virtual | ~Standard_Transient () |
| Destructor must be virtual. More... | |
| virtual const opencascade::handle< Standard_Type > & | DynamicType () const |
| Returns a type descriptor about this object. More... | |
| Standard_Boolean | IsInstance (const opencascade::handle< Standard_Type > &theType) const |
| Returns a true value if this is an instance of Type. More... | |
| Standard_Boolean | IsInstance (const Standard_CString theTypeName) const |
| Returns a true value if this is an instance of TypeName. More... | |
| Standard_Boolean | IsKind (const opencascade::handle< Standard_Type > &theType) const |
| Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More... | |
| Standard_Boolean | IsKind (const Standard_CString theTypeName) const |
| Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More... | |
| Standard_Transient * | This () const |
| Returns non-const pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero. More... | |
| Standard_Integer | GetRefCount () const |
| Get the reference counter of this object. More... | |
| void | IncrementRefCounter () const |
| Increments the reference counter of this object. More... | |
| Standard_Integer | DecrementRefCounter () const |
| Decrements the reference counter of this object; returns the decremented value. More... | |
Additional Inherited Members | |
| Public Types inherited from Standard_Transient | |
| typedef void | base_type |
| Returns a type descriptor about this object. More... | |
| Static Public Member Functions inherited from Standard_Transient | |
| static const char * | get_type_name () |
| Returns a type descriptor about this object. More... | |
| static const opencascade::handle< Standard_Type > & | get_type_descriptor () |
| Returns type descriptor of Standard_Transient class. More... | |
Detailed Description
Complements standard tool Geom_Surface by providing additional functionality for detection surface singularities, checking spatial surface closure and computing projections of 3D points onto a surface.
- The singularities Each singularity stores the precision with which corresponding surface iso-line is considered as degenerated. The number of singularities is determined by specifying precision and always not greater than 4.
- The spatial closure The check for spatial closure is performed with given precision (default value is Precision::Confusion). If Geom_Surface says that the surface is closed, this class also says this. Otherwise additional analysis is performed.
- The parameters of 3D point on the surface The projection of the point is performed with given precision. This class tries to find a solution taking into account possible singularities. Additional method for searching the solution from already built one is also provided.
This tool is optimised: computes most information only once
Constructor & Destructor Documentation
| ShapeAnalysis_Surface::ShapeAnalysis_Surface | ( | const Handle< Geom_Surface > & | S | ) |
Creates an analyzer object on the basis of existing surface.
Member Function Documentation
| const Handle< GeomAdaptor_HSurface >& ShapeAnalysis_Surface::Adaptor3d | ( | ) |
Returns the Adaptor. Creates it if not yet done.
| void ShapeAnalysis_Surface::Bounds | ( | Standard_Real & | ufirst, |
| Standard_Real & | ulast, | ||
| Standard_Real & | vfirst, | ||
| Standard_Real & | vlast | ||
| ) | const |
Returns the bounds of the surface (from Bounds from Surface, but buffered)
| void ShapeAnalysis_Surface::ComputeBoundIsos | ( | ) |
Computes bound isos (protected against exceptions)
| Standard_Boolean ShapeAnalysis_Surface::DegeneratedValues | ( | const gp_Pnt & | P3d, |
| const Standard_Real | preci, | ||
| gp_Pnt2d & | firstP2d, | ||
| gp_Pnt2d & | lastP2d, | ||
| Standard_Real & | firstpar, | ||
| Standard_Real & | lastpar, | ||
| const Standard_Boolean | forward = Standard_True |
||
| ) |
Returns True if there is at least one surface iso-line which is considered as degenerated with <preci> and distance between P3d and corresponding singular point is less than <preci> (like IsDegenerated). Returns characteristics of the first found boundary matching those criteria.
| Standard_Real ShapeAnalysis_Surface::Gap | ( | ) | const |
Returns 3D distance found by one of the following methods. IsDegenerated, DegeneratedValues, ProjectDegenerated (distance between 3D point and found or last (if not found) singularity), IsUClosed, IsVClosed (minimum value of precision to consider the surface to be closed), ValueOfUV (distance between 3D point and found solution).
| const Bnd_Box& ShapeAnalysis_Surface::GetBoxUF | ( | ) |
| const Bnd_Box& ShapeAnalysis_Surface::GetBoxUL | ( | ) |
| const Bnd_Box& ShapeAnalysis_Surface::GetBoxVF | ( | ) |
| const Bnd_Box& ShapeAnalysis_Surface::GetBoxVL | ( | ) |
| Standard_Boolean ShapeAnalysis_Surface::HasSingularities | ( | const Standard_Real | preci | ) |
Returns True if the surface has singularities for the given precision (i.e. if there are surface singularities with sizes not greater than precision).
| void ShapeAnalysis_Surface::Init | ( | const Handle< Geom_Surface > & | S | ) |
Loads existing surface.
| void ShapeAnalysis_Surface::Init | ( | const Handle< ShapeAnalysis_Surface > & | other | ) |
Reads all the data from another Surface, without recomputing.
| Standard_Boolean ShapeAnalysis_Surface::IsDegenerated | ( | const gp_Pnt & | P3d, |
| const Standard_Real | preci | ||
| ) |
Returns True if there is at least one surface boundary which is considered as degenerated with <preci> and distance between P3d and corresponding singular point is less than <preci>
| Standard_Boolean ShapeAnalysis_Surface::IsDegenerated | ( | const gp_Pnt2d & | p2d1, |
| const gp_Pnt2d & | p2d2, | ||
| const Standard_Real | tol, | ||
| const Standard_Real | ratio | ||
| ) |
Returns True if straight pcurve going from point p2d1 to p2d2 is degenerate, i.e. lies in the singularity of the surface. NOTE: it uses another method of detecting singularity than used by ComputeSingularities() et al.! For that, maximums of distances between points p2d1, p2d2 and 0.5*(p2d1+p2d2) and between corresponding 3d points are computed. The pcurve (p2d1, p2d2) is considered as degenerate if:
- max distance in 3d is less than <tol>
- max distance in 2d is at least <ratio> times greather than the Resolution computed from max distance in 3d (max3d < tol && max2d > ratio * Resolution(max3d)) NOTE: <ratio> should be >1 (e.g. 10)
| Standard_Boolean ShapeAnalysis_Surface::IsUClosed | ( | const Standard_Real | preci = -1 | ) |
Tells if the Surface is spatially closed in U with given precision. If <preci> < 0 then Precision::Confusion is used. If Geom_Surface says that the surface is U-closed, this method also says this. Otherwise additional analysis is performed, comparing given precision with the following distances:
- periodic B-Splines are closed,
- polinomial B-Spline with boundary multiplicities degree+1 and Bezier - maximum distance between poles,
- rational B-Spline or one with boundary multiplicities not degree+1 - maximum distance computed at knots and their middles,
- surface of extrusion - distance between ends of basis curve,
- other (RectangularTrimmed and Offset) - maximum distance computed at 100 equi-distanted points.
| Standard_Boolean ShapeAnalysis_Surface::IsVClosed | ( | const Standard_Real | preci = -1 | ) |
Tells if the Surface is spatially closed in V with given precision. If <preci> < 0 then Precision::Confusion is used. If Geom_Surface says that the surface is V-closed, this method also says this. Otherwise additional analysis is performed, comparing given precision with the following distances:
- periodic B-Splines are closed,
- polinomial B-Spline with boundary multiplicities degree+1 and Bezier - maximum distance between poles,
- rational B-Spline or one with boundary multiplicities not degree+1 - maximum distance computed at knots and their middles,
- surface of revolution - distance between ends of basis curve,
- other (RectangularTrimmed and Offset) - maximum distance computed at 100 equi-distanted points.
| Standard_Integer ShapeAnalysis_Surface::NbSingularities | ( | const Standard_Real | preci | ) |
Returns the number of singularities for the given precision (i.e. number of surface singularities with sizes not greater than precision).
| gp_Pnt2d ShapeAnalysis_Surface::NextValueOfUV | ( | const gp_Pnt2d & | p2dPrev, |
| const gp_Pnt & | P3D, | ||
| const Standard_Real | preci, | ||
| const Standard_Real | maxpreci = -1.0 |
||
| ) |
Projects a point P3D on the surface. Does the same thing as ValueOfUV but tries to optimize computations by taking into account previous point <p2dPrev>: makes a step by UV and tries Newton algorithm. If <maxpreci> >0. and distance between solution and P3D is greater than <maxpreci>, that solution is considered as bad, and ValueOfUV() is used. If not succeded, calls ValueOfUV()
| Standard_Boolean ShapeAnalysis_Surface::ProjectDegenerated | ( | const gp_Pnt & | P3d, |
| const Standard_Real | preci, | ||
| const gp_Pnt2d & | neighbour, | ||
| gp_Pnt2d & | result | ||
| ) |
Projects a point <P3d> on a singularity by computing one of the coordinates of preliminary computed <result>.
Finds the iso-line which is considered as degenerated with <preci> and a. distance between P3d and corresponding singular point is less than <preci> (like IsDegenerated) or b. difference between already computed <result>'s coordinate and iso-coordinate of the boundary is less than 2D resolution (computed from <preci> by Geom_Adaptor). Then sets not yet computed <result>'s coordinate taking it from <neighbour> and returns True.
| Standard_Boolean ShapeAnalysis_Surface::ProjectDegenerated | ( | const Standard_Integer | nbrPnt, |
| const TColgp_Array1OfPnt & | points, | ||
| TColgp_Array1OfPnt2d & | pnt2d, | ||
| const Standard_Real | preci, | ||
| const Standard_Boolean | direct | ||
| ) |
Checks points at the beginning (direct is True) or end (direct is False) of array <points> to lie in singularity of surface, and if yes, adjusts the indeterminate 2d coordinate of these points by nearest point which is not in singularity. Returns True if some points were adjusted.
| void ShapeAnalysis_Surface::SetDomain | ( | const Standard_Real | U1, |
| const Standard_Real | U2, | ||
| const Standard_Real | V1, | ||
| const Standard_Real | V2 | ||
| ) |
| Standard_Boolean ShapeAnalysis_Surface::Singularity | ( | const Standard_Integer | num, |
| Standard_Real & | preci, | ||
| gp_Pnt & | P3d, | ||
| gp_Pnt2d & | firstP2d, | ||
| gp_Pnt2d & | lastP2d, | ||
| Standard_Real & | firstpar, | ||
| Standard_Real & | lastpar, | ||
| Standard_Boolean & | uisodeg | ||
| ) |
Returns the characteristics of the singularity specified by its rank number <num>. That means, that it is not neccessary for <num> to be in the range [1, NbSingularities] but must be not greater than possible (see ComputeSingularities). The returned characteristics are: preci: the smallest precision with which the iso-line is considered as degenerated, P3d: 3D point of singularity (middle point of the surface iso-line), firstP2d and lastP2d: first and last 2D points of the iso-line in parametrical surface, firstpar and lastpar: first and last parameters of the iso-line in parametrical surface, uisodeg: if the degenerated iso-line is U-iso (True) or V-iso (False). Returns False if <num> is out of range, else returns True.
| const Handle< Geom_Surface >& ShapeAnalysis_Surface::Surface | ( | ) | const |
Returns a surface being analyzed.
| const Handle< GeomAdaptor_HSurface >& ShapeAnalysis_Surface::TrueAdaptor3d | ( | ) | const |
Returns the Adaptor (may be Null if method Adaptor() was not called)
| Standard_Real ShapeAnalysis_Surface::UCloseVal | ( | ) | const |
Returns minimum value to consider the surface as U-closed.
| Handle< Geom_Curve > ShapeAnalysis_Surface::UIso | ( | const Standard_Real | U | ) |
Returns a U-Iso. Null if not possible or failed Remark : bound isos are buffered.
| Standard_Real ShapeAnalysis_Surface::UVFromIso | ( | const gp_Pnt & | P3D, |
| const Standard_Real | preci, | ||
| Standard_Real & | U, | ||
| Standard_Real & | V | ||
| ) |
Tries a refinement of an already computed couple (U,V) by using projecting 3D point on iso-lines:
- boundaries of the surface,
- iso-lines passing through (U,V)
- iteratively received iso-lines passing through new U and new V (number of iterations is limited by 5 in each direction) Returns the best resulting distance between P3D and Value(U,V) in the case of success. Else, returns a very great value
| gp_Pnt ShapeAnalysis_Surface::Value | ( | const Standard_Real | u, |
| const Standard_Real | v | ||
| ) |
Returns a 3D point specified by parameters in surface parametrical space.
Returns a 3d point specified by a point in surface parametrical space.
| gp_Pnt2d ShapeAnalysis_Surface::ValueOfUV | ( | const gp_Pnt & | P3D, |
| const Standard_Real | preci | ||
| ) |
Computes the parameters in the surface parametrical space of 3D point. The result is parameters of the point projected onto the surface. This method enhances functionality provided by the standard tool GeomAPI_ProjectPointOnSurface by treatment of cases when the projected point is near to the surface boundaries and when this standard tool fails.
| Standard_Real ShapeAnalysis_Surface::VCloseVal | ( | ) | const |
Returns minimum value to consider the surface as V-closed.
| Handle< Geom_Curve > ShapeAnalysis_Surface::VIso | ( | const Standard_Real | V | ) |
Returns a V-Iso. Null if not possible or failed Remark : bound isos are buffered.
Field Documentation
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The documentation for this class was generated from the following file:
