\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D and 3D Linear Geometry Kernel

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Classes
Cartesian/Homogenous Conversion
2D and 3D Linear Geometry Kernel Reference

##

## Classes
class | CGAL::Cartesian_converter< K1, K2, NTConverter >
| `Cartesian_converter` converts objects from the kernel traits `K1` to the kernel traits `K2` using `NTConverter` to do the conversion. More...
class | CGAL::Homogeneous_converter< K1, K2, RTConverter, FTConverter >
| `Homogeneous_converter` converts objects from the kernel traits `K1` to the kernel traits `K2`. More...
template<typename RT >
Point_2< Homogeneous< RT > > | CGAL::cartesian_to_homogeneous (const Point_2< Cartesian< RT > > &cp)
| Functions to convert between Cartesian and homogeneous kernels. More...
template<typename RT >
Point_3< Homogeneous< RT > > | CGAL::cartesian_to_homogeneous (const Point_3< Cartesian< RT > > &cp)
| converts 3D point `cp` with Cartesian representation into a 3D point with homogeneous representation with the same number type.
template<typename FT >
Point_2< Cartesian< FT > > | CGAL::homogeneous_to_cartesian (const Point_2< Homogeneous< FT > > &hp)
| converts 2D point `hp` with homogeneous representation into a 2D point with Cartesian representation with the same number type.
template<typename FT >
Point_3< Cartesian< FT > > | CGAL::homogeneous_to_cartesian (const Point_3< Homogeneous< FT > > &hp)
| converts 3D point `hp` with homogeneous representation into a 3D point with Cartesian representation with the same number type.
template<typename RT >
Point_2< Cartesian< Quotient < RT > > > | CGAL::homogeneous_to_quotient_cartesian (const Point_2< Homogeneous< RT > > &hp)
| converts the 2D point `hp` with homogeneous representation with number type `RT` into a 2D point with Cartesian representation with number type `Quotient<RT>`.
template<typename RT >
Point_3< Cartesian< Quotient < RT > > > | CGAL::homogeneous_to_quotient_cartesian (const Point_3< Homogeneous< RT > > &hp)
| converts the 3D point `hp` with homogeneous representation with number type `RT` into a 3D point with Cartesian representation with number type `Quotient<RT>`.
template<typename RT >
Point_2< Homogeneous< RT > > | CGAL::quotient_cartesian_to_homogeneous (const Point_2< Cartesian< Quotient< RT > > > &cp)
| converts 2D point `cp` with Cartesian representation with number type `Quotient<RT>` into a 2D point with homogeneous representation with number type `RT`.
template<typename RT >
Point_3< Homogeneous< RT > > | CGAL::quotient_cartesian_to_homogeneous (const Point_3< Cartesian< Quotient< RT > > > &cp)
| converts 3D point `cp` with Cartesian representation with number type `Quotient<RT>` into a 3D point with homogeneous representation with number type `RT`.

## Function Documentation

template<typename RT >

Point_2< Homogeneous<RT> > CGAL::cartesian_to_homogeneous | ( | const Point_2< Cartesian< RT > > & | cp) |  |

Functions to convert between Cartesian and homogeneous kernels.

See Also
  `CGAL::Cartesian<FieldNumberType>`
  `CGAL::Cartesian_converter<K1, K2, NTConverter>`
  `CGAL::Homogeneous<RingNumberType>`
  `CGAL::Homogeneous_converter<K1, K2, RTConverter, FTConverter>`
  `CGAL::Simple_cartesian<FieldNumberType>`
  `CGAL::Simple_homogeneous<RingNumberType>`

converts 2D point `cp` with Cartesian representation into a 2D point with homogeneous representation with the same number type.

`#include <CGAL/cartesian_homogeneous_conversion.h>`