\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12 - Classification
CGAL::Classification::Feature::Linearity Class Reference

#include <CGAL/Classification/Feature/Eigen.h>

Inherits from



Feature based on the eigenvalues of the covariance matrix of a local neighborhood.

Linearity is defined, for the 3 eigenvalues \(\lambda_1 \ge \lambda_2 \ge \lambda_3 \ge 0\), as:

\[ \frac{\lambda_1 - \lambda_2}{\lambda_1} \]

Its default name is "linearity".

Public Member Functions

template<typename InputRange >
 Linearity (const InputRange &input, const Local_eigen_analysis &eigen)
 Constructs the feature. More...
- Public Member Functions inherited from CGAL::Classification::Feature_base
const std::string & name () const
 Returns the name of the feature (initialized to abstract_feature for Feature_base).
void set_name (const std::string &name)
 Changes the name of the feature.
virtual float value (std::size_t index)=0
 Returns the value taken by the feature for at the item for the item at position index. More...

Constructor & Destructor Documentation

◆ Linearity()

template<typename InputRange >
CGAL::Classification::Feature::Linearity::Linearity ( const InputRange &  input,
const Local_eigen_analysis eigen 

Constructs the feature.

Template Parameters
Inputmodel of ConstRange. Its iterator type is RandomAccessIterator.
inputpoint range.
eigenclass with precomputed eigenvectors and eigenvalues.