3D transformation (3×4 matrix).
3×4 matrix (3 rows, 4 columns) used for 3D linear transformations. It can represent transformations such as translation, rotation, or scaling. It consists of a [member basis] (first 3 columns) and a [Vector3] for the [member origin] (last column). For more information, read the "Matrices and transforms" documentation article.
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Constructs a Transform from a [Transform2D].
Constructs the Transform from a [Basis]. The origin will be Vector3(0, 0, 0).
Constructs a Transform from a [Quaternion]. The origin will be [code]Vector3(0, 0, 0)[/code].
Constructs a Transform from a [Basis] and [Vector3].
Constructs a Transform from four [Vector3] values (matrix columns). Each axis corresponds to local basis vectors (some of which may be scaled).
Returns the inverse of the transform, under the assumption that the transformation is composed of rotation, scaling and translation.
Returns a transform interpolated between this transform and another by a given [code]weight[/code] (on the range of 0.0 to 1.0).
Returns the inverse of the transform, under the assumption that the transformation is composed of rotation and translation (no scaling, use [method affine_inverse] for transforms with scaling).
Returns [code]true[/code] if this transform and [code]transform[/code] are approximately equal, by calling [code]is_equal_approx[/code] on each component.
Returns a copy of the transform rotated such that its -Z axis points towards the [code]target[/code] position. The transform will first be rotated around the given [code]up[/code] vector, and then fully aligned to the target by a further rotation around an axis perpendicular to both the [code]target[/code] and [code]up[/code] vectors. Operations take place in global space.
Returns the transform with the basis orthogonal (90 degrees), and normalized axis vectors (scale of 1 or -1).
Returns a copy of the transform rotated around the given [code]axis[/code] by the given [code]angle[/code] (in radians). The [code]axis[/code] must be a normalized vector. This method is an optimized version of multiplying the given transform [code]X[/code] with a corresponding rotation transform [code]R[/code] from the left, i.e., [code]R * X[/code]. This can be seen as transforming with respect to the global/parent frame.
Returns a copy of the transform rotated around the given [code]axis[/code] by the given [code]angle[/code] (in radians). The [code]axis[/code] must be a normalized vector. This method is an optimized version of multiplying the given transform [code]X[/code] with a corresponding rotation transform [code]R[/code] from the right, i.e., [code]X * R[/code]. This can be seen as transforming with respect to the local frame.
Returns a copy of the transform scaled by the given [code]scale[/code] factor. This method is an optimized version of multiplying the given transform [code]X[/code] with a corresponding scaling transform [code]S[/code] from the left, i.e., [code]S * X[/code]. This can be seen as transforming with respect to the global/parent frame.
Returns a copy of the transform scaled by the given [code]scale[/code] factor. This method is an optimized version of multiplying the given transform [code]X[/code] with a corresponding scaling transform [code]S[/code] from the right, i.e., [code]X * S[/code]. This can be seen as transforming with respect to the local frame.
Returns a copy of the transform translated by the given [code]offset[/code]. This method is an optimized version of multiplying the given transform [code]X[/code] with a corresponding translation transform [code]T[/code] from the left, i.e., [code]T * X[/code]. This can be seen as transforming with respect to the global/parent frame.
Returns a copy of the transform translated by the given [code]offset[/code]. This method is an optimized version of multiplying the given transform [code]X[/code] with a corresponding translation transform [code]T[/code] from the right, i.e., [code]X * T[/code]. This can be seen as transforming with respect to the local frame.
Transforms the given [Vector3], [Plane], [AABB], or [PoolVector3Array] by this transform.
Inverse-transforms the given [Vector3], [Plane], [AABB], or [PoolVector3Array] by this transform, under the assumption that the transformation is composed of rotation and translation (no scaling). Equivalent to calling [code]inverse().xform(v)[/code] on this transform. For affine transformations (e.g. with scaling) see [method affine_inverse] method.
- 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.
- The translation offset of the transform (column 3, the fourth column). Equivalent to array index [code]3[/code].
[Transform] with no translation, rotation or scaling applied. When applied to other data structures, [constant IDENTITY] performs no transformation.
[Transform] with mirroring applied perpendicular to the YZ plane.
[Transform] with mirroring applied perpendicular to the XZ plane.
[Transform] with mirroring applied perpendicular to the XY plane.