\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.14 - 2D and 3D Linear Geometry Kernel
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Kernel::ConstructProjectedPoint_3 Concept Reference
2D and 3D Linear Geometry Kernel Reference » Concepts » Kernel Function Object Concepts

Definition

Refines:
AdaptableFunctor (with two arguments)
See also
CGAL::Line_3<Kernel>
CGAL::Plane_3<Kernel>

Operations

A model of this concept must provide:

Kernel::Point_3 operator() (const Kernel::Line_3 &l, const Kernel::Point_3 &p)
 returns the orthogonal projection of p onto l.
 
Kernel::Point_3 operator() (const Kernel::Plane_3 &h, const Kernel::Point_3 &p)
 returns the orthogonal projection of p onto h.
 
Kernel::Point_3 operator() (const Kernel::Segment_3 &s, const Kernel::Point_3 &p)
 returns the point of s that is the closest to p.
 
Kernel::Point_3 operator() (const Kernel::Ray_3 &r, const Kernel::Point_3 &p)
 returns the point of r that is the closest to p.
 
Kernel::Point_3 operator() (const Kernel::Triangle_3 &t, const Kernel::Point_3 &p)
 returns the point of t that is the closest to p.