def represent_point_in_global_coordinates(self, point):
"""Represents a point from local coordinates in the world coordinate system.
Parameters
----------
point : :obj:`list` of :obj:`float` or :class:`Point`
A point in local coordinates.
Returns
-------
:class:`Point`
A point in the world coordinate system.
Examples
--------
>>> from compas.geometry import Frame
>>> f = Frame([1, 1, 1], [0.68, 0.68, 0.27], [-0.67, 0.73, -0.15])
>>> pw1 = [2, 2, 2]
>>> pf = f.represent_point_in_local_coordinates(pw1)
>>> pw2 = f.represent_point_in_global_coordinates(pf)
>>> allclose(pw1, pw2)
True
"""
T = matrix_from_frame(self)
pt = Point(*point)
pt.transform(T)
return pt
def represent_point_in_local_coordinates(self, point):
"""Represents a point in the frame's local coordinate system.
Parameters
----------
point : :obj:`list` of :obj:`float` or :class:`Point`
A point in world XY.
Returns
-------
:class:`Point`
A point in the local coordinate system of the frame.
Examples
--------
>>> from compas.geometry import Frame
>>> f = Frame([1, 1, 1], [0.68, 0.68, 0.27], [-0.67, 0.73, -0.15])
>>> pw1 = [2, 2, 2]
>>> pf = f.represent_point_in_local_coordinates(pw1)
>>> pw2 = f.represent_point_in_global_coordinates(pf)
>>> allclose(pw1, pw2)
True
"""
pt = Point(*subtract_vectors(point, self.point))
T = inverse(matrix_from_basis_vectors(self.xaxis, self.yaxis))
pt.transform(T)
return pt
