Matrix3d Structure

Description

This .Net class wraps AcGeMatrix3d ObjectARX class.

Class Matrix3d represents an affine transformation of 3D space, including translation. Each matrix M has the form:

a00 a01 a02 t0
a10 a11 a12 t1
a20 a21 a22 t2
0    0   0   1

where the matrix A:

a00 a01 a02
a10 a11 a12
a20 a21 a22

is called the linear part of M.

Column T:

t0
t1
t2

is called a translational part of M.

To get Point3dpoint 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, pnt.z, 1.0 ) to the power of T . To get Vector3dvector 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, vec.z, 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, 0) and axes (1, 0, 0), (0, 1, 0), and (0, 0, 1).

C#

public struct Matrix3d : IFormattable {
}

Visual Basic

Public Structure Matrix3d
Inherits IFormattable
End Structure

Links

Matrix3d Methods, Matrix3d Operators, Matrix3d Properties