Frame

class compas.geometry.Frame(point, xaxis, yaxis, **kwargs)[source]

Bases: Primitive

A frame is defined by a base point and two orthonormal base vectors.

Parameters

point ([float, float, float] | compas.geometry.Point) – The origin of the frame.
xaxis ([float, float, float] | compas.geometry.Vector) – The x-axis of the frame.
yaxis ([float, float, float] | compas.geometry.Vector) – The y-axis of the frame.

Attributes

point (compas.geometry.Point) – The base point of the frame.
xaxis (compas.geometry.Vector) – The local X axis of the frame.
yaxis (compas.geometry.Vector) – The local Y axis of the frame.
zaxis (compas.geometry.Vector, read-only) – The Z axis of the frame.
normal (compas.geometry.Vector, read-only) – The normal of the base plane of the frame.
quaternion (compas.geometry.Quaternion, read-only) – The quaternion from the rotation given by the frame.
axis_angle_vector (compas.geometry.Vector, read-only) – The axis-angle vector representing the rotation of the frame.

Notes

All input vectors are orthonormalized when creating a frame, with the first vector as starting point.

Examples

>>> from compas.geometry import Point
>>> from compas.geometry import Vector
>>> f = Frame([0, 0, 0], [1, 0, 0], [0, 1, 0])
>>> f = Frame(Point(0, 0, 0), Vector(1, 0, 0), Vector(0, 1, 0))

Methods

`euler_angles`	The Euler angles from the rotation given by the frame.
`from_axis_angle_vector`	Construct a frame from an axis-angle vector representing the rotation.
`from_data`	Construct a frame from its data representation.
`from_euler_angles`	Construct a frame from a rotation represented by Euler angles.
`from_list`	Construct a frame from a list of 12 or 16 float values.
`from_matrix`	Construct a frame from a matrix.
`from_plane`	Constructs a frame from a plane.
`from_points`	Constructs a frame from 3 points.
`from_quaternion`	Construct a frame from a rotation represented by quaternion coefficients.
`from_rotation`	Constructs a frame from a Rotation.
`from_transformation`	Constructs a frame from a Transformation.
`local_to_local_coordinates`	Returns the object's coordinates in frame1 in the local coordinates of frame2.
`to_local_coordinates`	Returns the object's coordinates in the local coordinate system of the frame.
`to_world_coordinates`	Returns the object's coordinates in the global coordinate frame.
`transform`	Transform the frame.
`worldXY`	Construct the world XY frame.
`worldYZ`	Construct the world YZ frame.
`worldZX`	Construct the world ZX frame.

Inherited Methods

`copy`	Make an independent copy of the data object.
`from_json`	Construct an object from serialized data contained in a JSON file.
`from_jsonstring`	Construct an object from serialized data contained in a JSON string.
`to_data`	Convert an object to its native data representation.
`to_json`	Serialize the data representation of an object to a JSON file.
`to_jsonstring`	Serialize the data representation of an object to a JSON string.
`transformed`	Returns a transformed copy of this geometry.
`validate_data`	Validate the object's data against its data schema.
`validate_json`	Validate the object's data against its json schema.

Frame

COMPAS