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GMModelInterfaces Interface CATICGMLocalAnalysis1D

Usage: an implementation of this interface is supplied and you must use it as is. You should not reimplement it.

interface CATICGMLocalAnalysis1D

Class defining the local analysis on a point of a CATCurve.

It performs curvature, torsion, main normal and binormal on a point of a CATCurve. This class is not streamable. The point where the analysis is done can be changed by .

Method Index

o GetBiNormal(): Returns the binormal at the point of this CATICGMLocalAnalysis1D.
o GetCurvature(): Returns the curvature at the point of this CATICGMLocalAnalysis1D.
o GetMainNormal(): Returns the main normal at the point of this CATICGMLocalAnalysis1D.
o GetTorsion(): Returns the torsion at the point of this CATICGMLocalAnalysis1D.
o IsARegularParam(): Tests whether the point of this CATICGMLocalAnalysis1D is regular.
o SetParam(CATCrvParam&): Modifies the point where this CATICGMLocalAnalysis1D is performed.

Methods

o GetBiNormal

public virtual GetBiNormal(

)

Returns the binormal at the point of this CATICGMLocalAnalysis1D.

Returns:: The binormal: Let V = FirstDeriv ^ SecondDeriv. Then,
BiNormal = V / V.Norm() , where ^ is the cross product.

o GetCurvature

public virtual GetCurvature(

)

Returns the curvature at the point of this CATICGMLocalAnalysis1D.

Returns:: The curvature : the norm of the cross product of the first derivative and the second derivative divided by the cube of the norm of the first derivative.
Curvature = (FirstDeriv^SecondDeriv).Norm() / (FirstDeriv.Norm())^3.

o GetMainNormal

public virtual GetMainNormal(

)

Returns the main normal at the point of this CATICGMLocalAnalysis1D.

Returns:: The main normal: Let V = FirstDeriv ^ SecondDeriv. Then,
MainNormal = (V / V.Norm() ) ^ FirstDeriv / FirstDeriv.Norm() , where ^ is the cross product.

o GetTorsion

public virtual GetTorsion(

)

Returns the torsion at the point of this CATICGMLocalAnalysis1D.

Returns:: The torsion: Let V = FirstDeriv ^ SecondDeriv. Then,
Torsion = V*ThirdDeriv / V*V, where * is the dot product and ^ the cross product.

o IsARegularParam

public virtual IsARegularParam(

)

Tests whether the point of this CATICGMLocalAnalysis1D is regular.
A point is non regular when the partial derivative of one of its coordinate is null.

Returns:

The result of the test.
Legal values:

0: if it is not regular
1: if it is regular

o SetParam

public virtual SetParam( iNewParamToAnalyze)

Modifies the point where this CATICGMLocalAnalysis1D is performed.
The analysis is automatically done.

Parameters:

iNewParamToAnalyze: The parameter of the new point to analyze.

This object is included in the file: CATICGMLocalAnalysis1D.h
If needed, your Imakefile.mk should include the module: CATGMModelInterfaces