\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.7 - Point Set Processing
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List of all members | Static Public Member Functions
VCMTraits Concept Reference
Concepts

Definition

Concept providing functions to extract eigenvectors and eigenvalue from covariance matrices represented by an array a as follows:

\( \begin{bmatrix} a[0] & a[1] & a[2] \\ a[1] & a[3] & a[4] \\ a[2] & a[4] & a[5] \\ \end{bmatrix}\)
Has Models:
CGAL::Eigen_vcm_traits

Static Public Member Functions

static bool diagonalize_selfadjoint_covariance_matrix (const cpp11::array< double, 6 > &cov, cpp11::array< double, 3 > &eigenvalues)
 fill eigenvalues with the eigenvalues of the covariance matrix represented by cov. More...
 
static bool extract_largest_eigenvector_of_covariance_matrix (const cpp11::array< double, 6 > &cov, cpp11::array< double, 3 > &normal)
 Extract the eigenvector associated to the largest eigenvalue of the covariance matrix represented by cov. More...
 

Member Function Documentation

static bool VCMTraits::diagonalize_selfadjoint_covariance_matrix ( const cpp11::array< double, 6 > &  cov,
cpp11::array< double, 3 > &  eigenvalues 
)
static

fill eigenvalues with the eigenvalues of the covariance matrix represented by cov.

Eigenvalues are sorted by increasing order.

Returns
true if the operation was successful and false otherwise.
static bool VCMTraits::extract_largest_eigenvector_of_covariance_matrix ( const cpp11::array< double, 6 > &  cov,
cpp11::array< double, 3 > &  normal 
)
static

Extract the eigenvector associated to the largest eigenvalue of the covariance matrix represented by cov.

Returns
true if the operation was successful and false otherwise.