Matrix2d Structure

Description

This .NET class wraps the AcGeMatrix2d ObjectARX class.

Class Matrix2d represents an affine transformation of 3D space, including translation. Each matrix M has the form:

a00 a01 t0
a10 a11 t1
0    0    1

where the matrix A:

a00 a01
a10 a11

is called the linear part of M.

Column T:

t0
t1

is called a translational part of M.

To get Point2dpoint transformed by corresponding transformation, one has to take the product M x P of the matrix M and point-column P = ( pnt.x, pnt.y, 1.0) to the power of T. To get Vector2dvector transformed by corresponding transformation, one has to take the product M x V of the matrix M and vector-column V = ( vec.x, vec.y, 0.0) to the power of T.

Every matrix M is associated with a coordinate system. This coordinate system has the origin (t₀, t₁) and vectors (a₀₀, a₁₀) and (a₀₁, a₁₁) as axes. Matrix M maps the standard coordinate system to the coordinate system with the origin (0, 0) and axes (1, 0) and (0, 1).

Visual Basic

Public Structure Matrix2d
Inherits IFormattable
End Structure

C#

public struct Matrix2d : IFormattable {
}

Links

Matrix2d Methods, Matrix2d Operators, Matrix2d Properties