Contours

Models and functions that can be used when regularizing contours.

Classes
class	CGAL::Shape_regularization::Contours::Longest_direction_2< GeomTraits, InputRange, PointMap >
	Estimates the longest principal direction of the contour. More...
class	CGAL::Shape_regularization::Contours::Multiple_directions_2< GeomTraits, InputRange, PointMap >
	Estimates possibly multiple principal directions of the contour based on the user-specified minimum length and maximum angle bounds. More...
class	CGAL::Shape_regularization::Contours::User_defined_directions_2< GeomTraits, InputRange, PointMap >
	Sets multiple user-specified principal directions of the contour. More...

Functions
template<typename InputRange , typename ContDirections , typename OutIterator , typename NamedParameters >
OutIterator	CGAL::Shape_regularization::Contours::regularize_closed_contour (const InputRange &input_range, const ContDirections &directions, OutIterator contour, const NamedParameters &np)
	regularizes closed contours. More...
template<typename InputRange , typename OutIterator >
OutIterator	CGAL::Shape_regularization::Contours::regularize_closed_contour (const InputRange &input_range, OutIterator contour)
	regularizes closed contours. More...
template<typename InputRange , typename ContDirections , typename OutIterator , typename NamedParameters >
OutIterator	CGAL::Shape_regularization::Contours::regularize_open_contour (const InputRange &input_range, const ContDirections &directions, OutIterator contour, const NamedParameters &np)
	regularizes open contours. More...
template<typename InputRange , typename OutIterator >
OutIterator	CGAL::Shape_regularization::Contours::regularize_open_contour (const InputRange &input_range, OutIterator contour)
	regularizes open contours. More...

Function Documentation

regularize_closed_contour() [1/2]

template<typename InputRange , typename ContDirections , typename OutIterator , typename NamedParameters >

OutIterator CGAL::Shape_regularization::Contours::regularize_closed_contour	(	const InputRange &	input_range,
		const ContDirections &	directions,
		OutIterator	contour,
		const NamedParameters &	np
	)

#include <CGAL/Shape_regularization/regularize_contours.h>

regularizes closed contours.

Given a set of ordered 2D points connected by segments, which form a closed contour, this function enables to reinforce three types of regularities among consecutive edges of this contour:

• Parallelism: contour edges, which are detected as near parallel, are made exactly parallel.
• Orthogonality: contour edges, which are detected as near orthogonal, are made exactly orthogonal.
• Collinearity: parallel contour edges, which are detected as near collinear, are made exactly collinear.

The principal directions of the contour are provided via the concept ContourDirections.

Template Parameters

InputRange	a model of ConstRange whose iterator type is RandomAccessIterator
ContDirections	a model of ContourDirections
OutIterator	a model of OutputIterator that accepts points of type GeomTraits::Point_2
NamedParameters	a sequence of Named Parameters

Parameters

input_range	a const range of ordered points, which form a contour
directions	estimated contour directions towards which the contour edges are oriented
contour	an output iterator with points of the regularized contour
np	an optional sequence of Named Parameters among the ones listed below; this parameter can be omitted, the default values are then used

Optional Named Parameters

maximum_offset maximum allowed orthogonal distance between two parallel and consecutive contour edges such that they are considered to be collinear Type: GeomTraits::FT Default: 0.5 unit length
point_map a property map that maps an item from input_range to GeomTraits::Point_2 Type: a model of ReadablePropertyMap whose key type is the value type of the input range and value type is GeomTraits::Point_2 Default: CGAL::Identity_property_map
geom_traits an instance of geometric traits class Type: a model of Kernel Default: a CGAL Kernel deduced from the point type, using CGAL::Kernel_traits

Returns

an output iterator to the element in the destination range, one past the last contour vertex stored

Precondition

input_range.size() >= 3

Examples:

Shape_regularization/regularize_closed_contour.cpp, and Shape_regularization/regularize_contour.cpp.

regularize_closed_contour() [2/2]

template<typename InputRange , typename OutIterator >

OutIterator CGAL::Shape_regularization::Contours::regularize_closed_contour	(	const InputRange &	input_range,
		OutIterator	contour
	)

#include <CGAL/Shape_regularization/regularize_contours.h>

regularizes closed contours.

This function regularizes a closed contour with respect to the longest edge of this contour.

regularize_open_contour() [1/2]

template<typename InputRange , typename ContDirections , typename OutIterator , typename NamedParameters >

OutIterator CGAL::Shape_regularization::Contours::regularize_open_contour	(	const InputRange &	input_range,
		const ContDirections &	directions,
		OutIterator	contour,
		const NamedParameters &	np
	)

#include <CGAL/Shape_regularization/regularize_contours.h>

regularizes open contours.

Given a set of ordered 2D points connected by segments, which form an open contour, this function enables to reinforce three types of regularities among consecutive edges of this contour:

• Parallelism: contour edges, which are detected as near parallel, are made exactly parallel.
• Orthogonality: contour edges, which are detected as near orthogonal, are made exactly orthogonal.
• Collinearity: parallel contour edges, which are detected as near collinear, are made exactly collinear.

The principal directions of the contour are provided via the concept ContourDirections.

Template Parameters

InputRange	a model of ConstRange whose iterator type is RandomAccessIterator
ContDirections	a model of ContourDirections
OutIterator	a model of OutputIterator that accepts points of type GeomTraits::Point_2
NamedParameters	a sequence of Named Parameters

Parameters

input_range	a const range of ordered points, which form a contour
directions	estimated contour directions towards which the contour edges are oriented
contour	an output iterator with points of the regularized contour
np	an optional sequence of Named Parameters among the ones listed below; this parameter can be omitted, the default values are then used

Optional Named Parameters

maximum_offset maximum allowed orthogonal distance between two parallel and consecutive contour edges such that they are considered to be collinear Type: GeomTraits::FT Default: 0.5 unit length
point_map a property map that maps an item from input_range to GeomTraits::Point_2 Type: a model of ReadablePropertyMap whose key type is the value type of the input range and value type is GeomTraits::Point_2 Default: CGAL::Identity_property_map
geom_traits an instance of geometric traits class Type: a model of Kernel Default: a CGAL Kernel deduced from the point type, using CGAL::Kernel_traits

Returns

an output iterator to the element in the destination range, one past the last contour vertex stored

Precondition

input_range.size() >= 2

Examples:

Shape_regularization/regularize_open_contour.cpp.

regularize_open_contour() [2/2]

template<typename InputRange , typename OutIterator >

OutIterator CGAL::Shape_regularization::Contours::regularize_open_contour	(	const InputRange &	input_range,
		OutIterator	contour
	)

#include <CGAL/Shape_regularization/regularize_contours.h>

regularizes open contours.

This function regularizes an open contour with respect to the longest edge of this contour.