CGAL 6.1 - 2D Envelopes
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CGAL Namespace Reference

Classes

class  Envelope_diagram_1
 This class is the default envelope-diagram class used by envelope functions to represent the minimization or the maximization diagram of a set of curves. More...
 

Functions

template<class InputIterator , class EnvelopeDiagram >
void lower_envelope_2 (InputIterator begin, InputIterator end, EnvelopeDiagram &diag)
 Computes the lower envelope of a set of curves in \( \mathbb{R}^2\), as given by the range [begin, end).
 
template<class InputIterator , class EnvelopeDiagram >
void lower_envelope_x_monotone_2 (InputIterator begin, InputIterator end, EnvelopeDiagram &diag)
 Computes the lower envelope of a set of \( x\)-monotone curves in \( \mathbb{R}^2\), as given by the range [begin, end).
 
template<class InputIterator , class EnvelopeDiagram , class Traits >
void lower_envelope_x_monotone_2 (InputIterator begin, InputIterator end, EnvelopeDiagram &diag, const Traits &traits)
 Computes the lower envelope of a set of \( x\)-monotone curves in \( \mathbb{R}^2\), as given by the range [begin, end) with the help of the arrangement traits object traits responsible for their creation.
 
template<class InputIterator , class EnvelopeDiagram >
void upper_envelope_2 (InputIterator begin, InputIterator end, EnvelopeDiagram &diag)
 Computes the upper envelope of a set of curves in \( \mathbb{R}^2\), as given by the range [begin, end).
 
template<class InputIterator , class EnvelopeDiagram >
void upper_envelope_x_monotone_2 (InputIterator begin, InputIterator end, EnvelopeDiagram &diag)
 Computes the upper envelope of a set of \( x\)-monotone curves in \( \mathbb{R}^2\), as given by the range [begin, end).
 
template<class InputIterator , class EnvelopeDiagram , class Traits >
void upper_envelope_x_monotone_2 (InputIterator begin, InputIterator end, EnvelopeDiagram &diag, const Traits &traits)
 Computes the upper envelope of a set of \( x\)-monotone curves in \( \mathbb{R}^2\), as given by the range [begin, end) with the help of the arrangement traits object traits responsible for their creation.