# Transform¶

Category: Built-In Types

## Brief Description¶

3D Transformation. 3x4 matrix.

## Member Functions¶

 Transform Transform ( Vector3 x_axis, Vector3 y_axis, Vector3 z_axis, Vector3 origin ) Transform Transform ( Basis basis, Vector3 origin ) Transform Transform ( Transform2D from ) Transform Transform ( Quat from ) Transform Transform ( Basis from ) Transform affine_inverse ( ) Transform interpolate_with ( Transform transform, float weight ) Transform inverse ( ) Transform looking_at ( Vector3 target, Vector3 up ) Transform orthonormalized ( ) Transform rotated ( Vector3 axis, float phi ) Transform scaled ( Vector3 scale ) Transform translated ( Vector3 ofs ) var xform ( var v ) var xform_inv ( var v )

## Member Variables¶

• Basis basis - The basis is a matrix containing 3 Vector3 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.

## Description¶

Represents one or many transformations in 3D space such as translation, rotation, or scaling. It consists of a Basis “basis” and an Vector3 “origin”. It is similar to a 3x4 matrix.

## Member Function Description¶

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

Constructs the Transform from a Basis and Vector3.

Constructs the Transform from a Transform2D.

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

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

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

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

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).

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

The transform will first be rotated around the given `up` vector, and then fully aligned to the target by a further rotation around an axis perpendicular to both the `target` and `up` vectors.

Operations take place in global space.

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

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

Scales the transform by the specified 3D scaling factors.

Translates the transform by the specified offset.

• var xform ( var v )

Transforms the given vector “v” by this transform.

• var xform_inv ( var v )

Inverse-transforms the given vector “v” by this transform.