\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.8.1 - dD Geometry Kernel
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KernelWithLifting_d::Lift_to_paraboloid_d Concept Reference
Kernel Concept

Definition

Operations

A model of this concept must provide:

Kernel_d::Point_d operator() (const Kernel_d::Point_d &p)
 returns \( p = (x_0,\ldots,x_{d-1})\) lifted to the paraboloid of revolution which is the point \( (x_0, \ldots,x_{d-1},\sum_{0 \le i < d}x_i^2)\) in \( (d+1)\)-space.