Polydim::Utilities::Inertia_Data Struct Reference

Affine map data aligning a polytope with its principal axes of inertia. More...

#include <Inertia_Utilities.hpp>

Public Attributes
Eigen::Matrix3d	Fmatrix
Eigen::Matrix3d	FmatrixInv
Eigen::Vector3d	translation
double	absDetFmatrix
double	signDetQ

Detailed Description

Affine map data aligning a polytope with its principal axes of inertia.

Encodes the affine change of coordinates \(\boldsymbol{x} = F\,\hat{\boldsymbol{x}} + \boldsymbol{t}\) (physical \(\leftrightarrow\) reference/inertia frame), where the reference frame is isotropic and aligned with the element's principal axes of inertia. The mapping is used to improve the conditioning of the monomial basis in inertia-based local spaces.

Member Data Documentation

absDetFmatrix

double Polydim::Utilities::Inertia_Data::absDetFmatrix

Fmatrix

Eigen::Matrix3d Polydim::Utilities::Inertia_Data::Fmatrix

FmatrixInv

Eigen::Matrix3d Polydim::Utilities::Inertia_Data::FmatrixInv

signDetQ

double Polydim::Utilities::Inertia_Data::signDetQ

translation

Eigen::Vector3d Polydim::Utilities::Inertia_Data::translation

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The documentation for this struct was generated from the following file:

• Inertia_Utilities.hpp