DGtal  0.9.2
VCMGeometricFunctors.h
1 
17 #pragma once
18 
31 #if defined(VCMGeometricFunctors_RECURSES)
32 #error Recursive header files inclusion detected in VCMGeometricFunctors.h
33 #else // defined(VCMGeometricFunctors_RECURSES)
34 
35 #define VCMGeometricFunctors_RECURSES
36 
37 #if !defined VCMGeometricFunctors_h
38 
39 #define VCMGeometricFunctors_h
40 
42 // Inclusions
43 #include <iostream>
44 #include "DGtal/base/Common.h"
46 
47 // @since 0.8 In DGtal::functors
48 namespace DGtal {
49  namespace functors {
50 
58  template <typename TVCMOnDigitalSurface>
60  typedef TVCMOnDigitalSurface VCMOnDigitalSurface;
61  typedef typename VCMOnDigitalSurface::KSpace KSpace;
62  typedef typename VCMOnDigitalSurface::Surfel Surfel;
63  typedef typename VCMOnDigitalSurface::VectorN RealVector;
64  typedef typename RealVector::Component Scalar;
65  typedef Surfel Argument;
66  typedef RealVector Quantity;
67 
76  : myVCMOnDigitalSurface( aVCMOnDigitalSurface ) {}
77 
85  void attach( ConstAlias<VCMOnDigitalSurface> aVCMOnDigitalSurface )
86  {
87  myVCMOnDigitalSurface = aVCMOnDigitalSurface;
88  }
89 
97  Quantity operator()( const Surfel & s ) const
98  {
99  typedef typename VCMOnDigitalSurface::Surfel2Normals Surfel2Normals;
100  ASSERT( myVCMOnDigitalSurface != 0 );
101  typename Surfel2Normals::const_iterator itSN = myVCMOnDigitalSurface->mapSurfel2Normals().find( s );
102  ASSERT( itSN != myVCMOnDigitalSurface->mapSurfel2Normals().end() );
103  return - itSN->second.vcmNormal;
104  }
105 
106  private:
109  };
110 
111 
119  template <typename TVCMOnDigitalSurface>
121  typedef TVCMOnDigitalSurface VCMOnDigitalSurface;
122  typedef typename VCMOnDigitalSurface::KSpace KSpace;
123  typedef typename VCMOnDigitalSurface::Surfel Surfel;
124  typedef typename VCMOnDigitalSurface::VectorN RealVector;
125  typedef typename RealVector::Component Scalar;
126  typedef Surfel Argument;
127  typedef Scalar Quantity;
128 
137  : myVCMOnDigitalSurface( aVCMOnDigitalSurface )
138  {
139  BOOST_STATIC_ASSERT(( KSpace::dimension == 2 ));
140  }
141 
149  void attach( ConstAlias<VCMOnDigitalSurface> aVCMOnDigitalSurface )
150  {
151  myVCMOnDigitalSurface = aVCMOnDigitalSurface;
152  }
153 
161  Quantity operator()( const Surfel & s ) const
162  {
163  ASSERT( myVCMOnDigitalSurface != 0 );
164  RealVector lambda;
165  bool ok = myVCMOnDigitalSurface->getChiVCMEigenvalues( lambda, s );
166  ASSERT( ok ); boost::ignore_unused_variable_warning( ok );
167 
168  // The last eigenvalue l1 is approximately the mixed "area" 8pi R^3 r / 3
169  // The curvature is related to the first eigenvalue l0.
170  // k1^2 = 3*l0 / (l1*r^2)
171  return sqrt( 3.0 * lambda[0] / lambda[1] ) / myVCMOnDigitalSurface->r();
172  }
173 
174  private:
177  };
178 
188  template <typename TVCMOnDigitalSurface>
190  typedef TVCMOnDigitalSurface VCMOnDigitalSurface;
191  typedef typename VCMOnDigitalSurface::KSpace KSpace;
192  typedef typename VCMOnDigitalSurface::Surfel Surfel;
193  typedef typename VCMOnDigitalSurface::VectorN RealVector;
194  typedef typename RealVector::Component Scalar;
195  typedef Surfel Argument;
196  typedef Scalar Quantity;
197 
206  : myVCMOnDigitalSurface( aVCMOnDigitalSurface )
207  {
208  BOOST_STATIC_ASSERT(( KSpace::dimension == 3 ));
209  }
210 
218  void attach( ConstAlias<VCMOnDigitalSurface> aVCMOnDigitalSurface )
219  {
220  myVCMOnDigitalSurface = aVCMOnDigitalSurface;
221  }
222 
230  Quantity operator()( const Surfel & s ) const
231  {
232  ASSERT( myVCMOnDigitalSurface != 0 );
233  RealVector lambda;
234  bool ok = myVCMOnDigitalSurface->getChiVCMEigenvalues( lambda, s );
235  ASSERT( ok ); boost::ignore_unused_variable_warning( ok );
236 
237  // The last eigenvalue l2 is approximately the mixed "area" 2pi R^3 r^2 / 3
238  // The greatest principal curvature is related to the second eigenvalue l1.
239  // k1^2 = 4*l1 / (l2*r^2)
240  return 2.0 * sqrt( lambda[1] / lambda[2] ) / myVCMOnDigitalSurface->r();
241  }
242 
243  private:
246  };
247 
257  template <typename TVCMOnDigitalSurface>
259  typedef TVCMOnDigitalSurface VCMOnDigitalSurface;
260  typedef typename VCMOnDigitalSurface::KSpace KSpace;
261  typedef typename VCMOnDigitalSurface::Surfel Surfel;
262  typedef typename VCMOnDigitalSurface::VectorN RealVector;
263  typedef typename RealVector::Component Scalar;
264  typedef Surfel Argument;
265  typedef Scalar Quantity;
266 
275  : myVCMOnDigitalSurface( aVCMOnDigitalSurface )
276  {
277  BOOST_STATIC_ASSERT(( KSpace::dimension == 3 ));
278  }
279 
287  void attach( ConstAlias<VCMOnDigitalSurface> aVCMOnDigitalSurface )
288  {
289  myVCMOnDigitalSurface = aVCMOnDigitalSurface;
290  }
291 
299  Quantity operator()( const Surfel & s ) const
300  {
301  ASSERT( myVCMOnDigitalSurface != 0 );
302  RealVector lambda;
303  bool ok = myVCMOnDigitalSurface->getChiVCMEigenvalues( lambda, s );
304  ASSERT( ok ); boost::ignore_unused_variable_warning( ok );
305 
306  // The last eigenvalue l2 is approximately the mixed "area" 2pi R^3 r^2 / 3
307  // The smallest principal curvature is related to the first eigenvalue l0.
308  // k2^2 = 4*l0 / (l2*r^2)
309  return 2.0 * sqrt( lambda[0] / lambda[2] ) / myVCMOnDigitalSurface->r();
310  }
311 
312  private:
315  };
316 
317 
325  template <typename TVCMOnDigitalSurface>
327  typedef TVCMOnDigitalSurface VCMOnDigitalSurface;
328  typedef typename VCMOnDigitalSurface::KSpace KSpace;
329  typedef typename VCMOnDigitalSurface::Surfel Surfel;
330  typedef typename VCMOnDigitalSurface::VectorN RealVector;
331  typedef typename RealVector::Component Scalar;
332  typedef Surfel Argument;
333  typedef Scalar Quantity;
334 
343  : myVCMOnDigitalSurface( aVCMOnDigitalSurface )
344  {
345  BOOST_STATIC_ASSERT(( KSpace::dimension == 3 ));
346  }
347 
355  void attach( ConstAlias<VCMOnDigitalSurface> aVCMOnDigitalSurface )
356  {
357  myVCMOnDigitalSurface = aVCMOnDigitalSurface;
358  }
359 
367  Quantity operator()( const Surfel & s ) const
368  {
369  ASSERT( myVCMOnDigitalSurface != 0 );
370  RealVector lambda;
371  bool ok = myVCMOnDigitalSurface->getChiVCMEigenvalues( lambda, s );
372  ASSERT( ok ); boost::ignore_unused_variable_warning( ok );
373 
374  // The last eigenvalue l2 is approximately the mixed "area" 2pi R^3 r^2 / 3
375  // The greatest principal curvature is related to the second eigenvalue l1.
376  // k1^2 = 4*l1 / (l2*r^2)
377  Quantity k1 = 2.0 * sqrt( lambda[1] / lambda[2] ) / myVCMOnDigitalSurface->r();
378 
379  // The last eigenvalue l2 is approximately the mixed "area" 2pi R^3 r^2 / 3
380  // The smallest principal curvature is related to the first eigenvalue l0.
381  // k2^2 = 4*l0 / (l2*r^2)
382  Quantity k2 = 2.0 * sqrt( lambda[0] / lambda[2] ) / myVCMOnDigitalSurface->r();
383  return (k1+k2) * 0.5;
384  }
385 
386  private:
389  };
390 
391  } //namespace functors
392 } // namespace DGtal
393 
394 
396 // Includes inline functions.
397 
398 // //
400 
401 #endif // !defined VCMGeometricFunctors_h
402 
403 #undef VCMGeometricFunctors_RECURSES
404 #endif // else defined(VCMGeometricFunctors_RECURSES)
VCMAbsoluteCurvatureFunctor(ConstAlias< VCMOnDigitalSurface > aVCMOnDigitalSurface=0)
void attach(ConstAlias< VCMOnDigitalSurface > aVCMOnDigitalSurface)
void attach(ConstAlias< VCMOnDigitalSurface > aVCMOnDigitalSurface)
Aim: A functor Surfel -> Quantity that returns the absolute curvature at given surfel. This class has meaning only in 2D.
Aim: This class encapsulates its parameter class so that to indicate to the user that the object/poin...
Definition: ConstAlias.h:186
Quantity operator()(const Surfel &s) const
VCMFirstPrincipalAbsoluteCurvatureFunctor(ConstAlias< VCMOnDigitalSurface > aVCMOnDigitalSurface=0)
void attach(ConstAlias< VCMOnDigitalSurface > aVCMOnDigitalSurface)
VCMMeanAbsoluteCurvatures3DFunctor(ConstAlias< VCMOnDigitalSurface > aVCMOnDigitalSurface=0)
CountedConstPtrOrConstPtr< VCMOnDigitalSurface > myVCMOnDigitalSurface
The shape of interest.
VCMSecondPrincipalAbsoluteCurvatureFunctor(ConstAlias< VCMOnDigitalSurface > aVCMOnDigitalSurface=0)
Aim: A functor Surfel -> Quantity that returns the outer normal vector at given surfel.
VCMOnDigitalSurface::VectorN RealVector
Aim: A functor Surfel -> Quantity that returns the first principal absolute curvature (greatest curva...
CountedConstPtrOrConstPtr< VCMOnDigitalSurface > myVCMOnDigitalSurface
The shape of interest.
Aim: A functor Surfel -> Quantity that returns the second principal absolute curvature (smallest curv...
VCMNormalVectorFunctor(ConstAlias< VCMOnDigitalSurface > aVCMOnDigitalSurface=0)
void attach(ConstAlias< VCMOnDigitalSurface > aVCMOnDigitalSurface)
DGtal is the top-level namespace which contains all DGtal functions and types.
CountedConstPtrOrConstPtr< VCMOnDigitalSurface > myVCMOnDigitalSurface
The shape of interest.
CountedConstPtrOrConstPtr< VCMOnDigitalSurface > myVCMOnDigitalSurface
The shape of interest.
CountedConstPtrOrConstPtr< VCMOnDigitalSurface > myVCMOnDigitalSurface
The shape of interest.
Aim: A functor Surfel -> Quantity that returns the mean of absolute curvatures at given surfel: (abs(...
void attach(ConstAlias< VCMOnDigitalSurface > aVCMOnDigitalSurface)
Quantity operator()(const Surfel &s) const