DGtal
1.0.0

Aim: A parallel strip in the space is the intersection of two parallel halfplanes such that each halfplane includes the other. More...
#include <DGtal/geometry/surfaces/ParallelStrip.h>
Public Types  
typedef TSpace  Space 
typedef ParallelStrip< Space, muIncluded, muPlusNuIncluded >  Self 
typedef Space::Point  Point 
typedef Space::RealPoint  RealPoint 
typedef Space::Vector  Vector 
typedef Space::RealVector  RealVector 
typedef RealPoint::Coordinate  Coordinate 
typedef RealVector::Component  Component 
typedef Component  Scalar 
Public Member Functions  
~ParallelStrip ()  
ParallelStrip ()  
ParallelStrip (Scalar mu, const RealVector &N, Scalar nu)  
ParallelStrip (const ParallelStrip &other)  
ParallelStrip &  operator= (const ParallelStrip &other) 
const RealVector &  normal () const 
Scalar  mu () const 
Scalar  nu () const 
Scalar  width () const 
Scalar  axisWidth () const 
Dimension  mainAxis () const 
Scalar  diagonalWidth () const 
Dimension  mainDiagonal () const 
void  getBounds (Scalar &mu, Scalar &mu_plus_nu) const 
bool  operator() (const Point &p) const 
bool  operator() (const RealPoint &p) const 
void  selfDisplay (std::ostream &out) const 
bool  isValid () const 
Protected Attributes  
Scalar  myMu 
The minimal scalar value \(\mu\) of the strip. More...  
RealVector  myN 
The unit normal vector N to the strip. More...  
Scalar  myNu 
The width \(\nu\) of the strip. More...  
Private Member Functions  
BOOST_CONCEPT_ASSERT ((concepts::CSpace< TSpace >))  
Aim: A parallel strip in the space is the intersection of two parallel halfplanes such that each halfplane includes the other.
Description of template class 'ParallelStrip'
If N is the unit normal to one of the halfplane, the set of point X that is included in the strip satisfies some: \( \mu \le N \dot X \le \mu + \nu \), where inequalities can be large or strict.
The normal to the strip is the vector N. The width of the strip is the scalar \(\nu\). The axis width of the strip is the quantity \(\nu / N_i\) where \(N_i\) is the greatest component.
Models: A ParallelStrip is a model of concepts::CPointPredicate.
TSpace  any digital space, i.e., a model of CSpace. 
muIncluded  when 'true', the first inequality is large, i.e. \( \mu \le N \dot X \), otherwise it is strict, i.e. \( \mu < N \dot X \) 
muPlusNuIncluded  when 'true', the second inequality is large, i.e. \( N \dot X \le \mu + \nu\), otherwise it is strict, i.e. \( N \dot X < \mu + \nu\) 
Definition at line 90 of file ParallelStrip.h.
typedef RealVector::Component DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::Component 
Definition at line 103 of file ParallelStrip.h.
typedef RealPoint::Coordinate DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::Coordinate 
Definition at line 102 of file ParallelStrip.h.
typedef Space::Point DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::Point 
Definition at line 98 of file ParallelStrip.h.
typedef Space::RealPoint DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::RealPoint 
Definition at line 99 of file ParallelStrip.h.
typedef Space::RealVector DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::RealVector 
Definition at line 101 of file ParallelStrip.h.
typedef Component DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::Scalar 
Definition at line 104 of file ParallelStrip.h.
typedef ParallelStrip<Space,muIncluded,muPlusNuIncluded> DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::Self 
Definition at line 97 of file ParallelStrip.h.
typedef TSpace DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::Space 
Definition at line 96 of file ParallelStrip.h.
typedef Space::Vector DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::Vector 
Definition at line 100 of file ParallelStrip.h.
DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::~ParallelStrip  (  ) 
Destructor.
DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::ParallelStrip  (  ) 
Constructor. The object is invalid.
DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::ParallelStrip  (  Scalar  mu, 
const RealVector &  N,  
Scalar  nu  
) 
Constructor from parameters.
mu  the minimal value of N.X 
N  the normal to the plane 
nu  the width of the strip. 
Note that the equation is normalized so that the normal is a unit vector.
DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::ParallelStrip  (  const ParallelStrip< TSpace, muIncluded, muPlusNuIncluded > &  other  ) 
Copy constructor.
other  the object to clone. 
Scalar DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::axisWidth  (  )  const 

private 
Scalar DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::diagonalWidth  (  )  const 
void DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::getBounds  (  Scalar &  mu, 
Scalar &  mu_plus_nu  
)  const 
If N is the unit normal to the current plane, then \( \mu \le N \cdot X\) and \(N \cdot X \le \mu + \nu\) are the two halfplanes defining it.
mu  the lower bound (corresponding to the unit vector). 
mu_plus_nu  the upper bound (corresponding to the unit vector). 
bool DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::isValid  (  )  const 
Checks the validity/consistency of the object.
Dimension DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::mainAxis  (  )  const 
Dimension DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::mainDiagonal  (  )  const 
Scalar DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::mu  (  )  const 
const RealVector& DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::normal  (  )  const 
Scalar DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::nu  (  )  const 
Same as width().
bool DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::operator()  (  const Point &  p  )  const 
Checks if the digital point p is in this strip. Therefore, a ParallelStrip is a model of concepts::CPointPredicate.
p  any 3D digital point. 
bool DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::operator()  (  const RealPoint &  p  )  const 
Checks if the (realvalued) point p is in this strip.
p  any 3D realvalued point. 
ParallelStrip& DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::operator=  (  const ParallelStrip< TSpace, muIncluded, muPlusNuIncluded > &  other  ) 
Assignment.
other  the object to copy. 
void DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::selfDisplay  (  std::ostream &  out  )  const 
Writes/Displays the object on an output stream.
out  the output stream where the object is written. 
Scalar DGtal::ParallelStrip< TSpace, muIncluded, muPlusNuIncluded >::width  (  )  const 
Same as nu().

protected 
The minimal scalar value \(\mu\) of the strip.
Definition at line 246 of file ParallelStrip.h.

protected 
The unit normal vector N to the strip.
Definition at line 248 of file ParallelStrip.h.

protected 
The width \(\nu\) of the strip.
Definition at line 250 of file ParallelStrip.h.