Transform

3D Transformation. 3x4 matrix.

Properties

Constants

• IDENTITY = Transform( 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 ) — Transform with no translation, rotation or scaling applied. When applied to other data structures, performs no transformation.
• FLIP_Y = Transform( 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0 ) — Transform with mirroring applied perpendicular to the XZ plane.
• FLIP_Z = Transform( 1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0 ) — with mirroring applied perpendicular to the XY plane.

Represents one or many transformations in 3D space such as translation, rotation, or scaling. It consists of a Basis “basis” and an “origin”. It is similar to a 3x4 matrix.

Tutorials

• Math

• Basis basis

The basis is a matrix containing 3 as its columns: X axis, Y axis, and Z axis. These vectors can be interpreted as the basis vectors of local coordinate system traveling with the object.

• Vector3 origin

The translation offset of the transform.

Method Descriptions

• Transform ( Vector3 x_axis, y_axis, Vector3 z_axis, origin )

Constructs the Transform from four Vector3. Each axis corresponds to local basis vectors (some of which may be scaled).

• Transform ( Basis basis, origin )

Constructs the Transform from a Basis and .

• Transform Transform ( from )

Constructs the Transform from a Quat. The origin will be Vector3(0, 0, 0).

• Transform ( Basis from )

Constructs the Transform from a . The origin will be Vector3(0, 0, 0).

• Transform affine_inverse ( )

Returns the inverse of the transform, under the assumption that the transformation is composed of rotation, scaling and translation.

• interpolate_with ( Transform transform, weight )

Interpolates the transform to other Transform by weight amount (0-1).

• Transform inverse ( )

Returns the inverse of the transform, under the assumption that the transformation is composed of rotation and translation (no scaling, use affine_inverse for transforms with scaling).

• looking_at ( Vector3 target, up )

Returns a copy of the transform rotated such that its -Z axis points towards the position.

Operations take place in global space.

• Transform orthonormalized ( )

Returns the transform with the basis orthogonal (90 degrees), and normalized axis vectors.

• rotated ( Vector3 axis, phi )

Rotates the transform around given axis by phi. The axis must be a normalized vector.

• Transform scaled ( scale )

Scales the transform by the specified 3D scaling factors.

• Transform translated ( ofs )

Translates the transform by the specified offset.

Transforms the given Vector3, , or AABB by this transform.

• xform_inv ( Variant v )