hexed::brep::Coordinate_change Class Reference

A change of coordinates from "definition" space (domain) to "model" space (codomain). More...

#include <brep.hpp>

Public Member Functions
	Coordinate_change (Mat< 3 > translate=Mat< 3 >::Zero(), Mat< 3, 3 > transform=Mat< 3, 3 >::Identity())
Mat< 3 >	to_model (Mat< 3 > definition) const
	Applies the coordinate transformation.
Mat< 3 >	to_definition (Mat< 3 > model) const
	Inverts the coordinate transformation.
Mat< 3, 3 >	transform () const
	Obtains the transformation matrix, if you care.
Mat< 3 >	translate () const
	Obtains the translation vector, if you care.
Coordinate_change	operator() (Coordinate_change that) const
	Returns a Coordinate_change which is the composition of this and that.

Detailed Description

A change of coordinates from "definition" space (domain) to "model" space (codomain).

Consists of a linear transformation (usually unitary) followed by a translation.

Constructor & Destructor Documentation

Coordinate_change()

hexed::brep::Coordinate_change::Coordinate_change	(	Mat< 3 >	translate = Mat< 3 >::Zero(),
		Mat< 3, 3 >	transform = Mat< 3, 3 >::Identity() )

Note

transform must be invertible.

Member Function Documentation

operator()()

Coordinate_change hexed::brep::Coordinate_change::operator()

(

Coordinate_change

that

)

const

Returns a Coordinate_change which is the composition of this and that.

I.e., (*this)(that).to_model(x) == this->to_model(that.to_model(x)).

to_definition()

Mat< 3 > hexed::brep::Coordinate_change::to_definition ( Mat< 3 > model ) const

inline

Inverts the coordinate transformation.

to_definition(to_model(x)) == to_model(to_definition(x)) = x.

to_model()

Mat< 3 > hexed::brep::Coordinate_change::to_model ( Mat< 3 > definition ) const

inline

Applies the coordinate transformation.

Specifically, the result is translate() + transform()*defintion.

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

• /home/micaiah/Desktop/hexed/include/brep.hpp