\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13.2 - 2D and 3D Linear Geometry Kernel
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Kernel::ConstructProjectedXYPoint_2 Concept Reference
2D and 3D Linear Geometry Kernel Reference » Concepts » Kernel Function Object Concepts

Definition

Refines:
AdaptableFunctor (with two arguments)
See also
CGAL::Plane_3<Kernel>
ConstructLiftedPoint_3

Operations

A model of this concept must provide:

Kernel::Point_2 operator() (const Kernel::Plane_3 &h, const Kernel::Point_3 &p)
 returns the image point of the projection of p under an affine transformation, which maps h onto the \( xy\)-plane, with the \( z\)-coordinate removed. More...
 

Member Function Documentation

◆ operator()()

Kernel::Point_2 Kernel::ConstructProjectedXYPoint_2::operator() ( const Kernel::Plane_3 &  h,
const Kernel::Point_3 &  p 
)

returns the image point of the projection of p under an affine transformation, which maps h onto the \( xy\)-plane, with the \( z\)-coordinate removed.

This affine transformation must be the inverse of the affine transformation used in ConstructLiftedPoint_3.