DGtal::detail::CurvatureFromDSSLengthAndWidth Struct Reference

#include <DGtal/geometry/curves/estimation/SegmentComputerEstimators.h>

Public Types
typedef double	Value

Public Member Functions
template<typename DSS >
Value	operator() (const DSS &aDSS) const

Detailed Description

Description of class 'CurvatureFromDSSLengthAndWidth'

Aim: computes the curvature \( k \) from the length \( l \) and the width \( w \) of a DSS as follow: \( 1/k = (l*l)/(8*w) + w/2 \)

Note

Adaption from Coeurjolly, D. and Miguet, S. and Tougne, L. "Discrete Curvature Based on Osculating Circle Estimation", Proc. IWVF, LNCS, vol 2059, pp.303-312, 2001

Definition at line 1261 of file SegmentComputerEstimators.h.

Member Typedef Documentation

Value

typedef double DGtal::detail::CurvatureFromDSSLengthAndWidth::Value

Definition at line 1264 of file SegmentComputerEstimators.h.

Member Function Documentation

operator()()

template<typename DSS >

Value DGtal::detail::CurvatureFromDSSLengthAndWidth::operator() ( const DSS & aDSS ) const

inline

Definition at line 1267 of file SegmentComputerEstimators.h.

      {
        typedef typename DSS::Vector Vector; 
        //length
        Vector v = ( *aDSS.begin() - *boost::prior(aDSS.end()) ); 
        Value l = v.norm(Vector::L_2);
        //width
        Vector t( aDSS.b(), aDSS.a() );
        Value w = 1.0 / v.norm(Vector::L_2); 
        //result
        return 1.0/( (l*l)/(8.*w) + w/2 ); 
      }

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

• SegmentComputerEstimators.h