Transform

Supported Versions

1

Subtype of

Serializable

Fields

The class is

Entity/Object	Variable	Description
integer	d	Space dimension
Boolean		1 if transformation is a unit transformation, 0 otherwise. If the value is 1, no more fields are present
double [d+1][d+1]	M	Values in transformation matrix
Boolean		1 if determinant is positive, 0 otherwise
Boolean		1 if matrix is isotropic, 0 otherwise

Description

The transformation class is defined by the transformation matrix, which operates as a premultiplier on column vectors containing homogeneous coordinates thus

where the conventional 3D coordinates are

The matrix thus consists of

where R is a nonsingular transformation matrix, containing the rotation, reflection, nonuniform scaling, and shearing components; T is a translation vector; and S is a global scaling factor greater than zero.