def fit_plane_scipy(P=None):
from skspatial.objects import Points, Plane
from skspatial.plotting import plot_3d
points = Points([[0, 0, 0], [1, 3, 5], [-5, 6, 3], [3, 6, 7], [-2, 6, 7]
]) if P is None else Points(P)
plane = Plane.best_fit(points)
plot_3d(
points.plotter(c='k', s=0.1, depthshade=False),
plane.plotter(alpha=0.8, lims_x=(-5, 5), lims_y=(-5, 5)),
)
plt.show()
"""
3D Line of Best Fit
===================
Fit a line to multiple 3D points.
"""
from skspatial.objects import Line
from skspatial.objects import Points
from skspatial.plotting import plot_3d
points = Points([
[0, 0, 0],
[1, 1, 0],
[2, 3, 2],
[3, 2, 3],
[4, 5, 4],
[6, 5, 5],
[6, 6, 5],
[7, 6, 7],
], )
line_fit = Line.best_fit(points)
plot_3d(
line_fit.plotter(t_1=-7, t_2=7, c='k'),
points.plotter(c='b', depthshade=False),
)
"""
3D Plane of Best Fit
====================
Fit a plane to multiple 3D points.
"""
from skspatial.objects import Plane
from skspatial.objects import Points
from skspatial.plotting import plot_3d
points = Points([[0, 0, 0], [1, 3, 5], [-5, 6, 3], [3, 6, 7], [-2, 6, 7]])
plane = Plane.best_fit(points)
plot_3d(
points.plotter(c='k', s=50, depthshade=False),
plane.plotter(alpha=0.2, lims_x=(-5, 5), lims_y=(-5, 5)),
)
cordi_after = np.zeros_like(cordi)
for i in range(len(cordi)):
point_tem = plane.project_point(cordi[i])
cordi_after[i] = np.array(point_tem)
# print(cordi_after)
points_after = Points(cordi_after)
# print(points)
# print(type(points))
plot_3d(
points_after.plotter(c='k', s=5, depthshade=False),
plane.plotter(alpha=0.2, lims_x=(-1, 1), lims_y=(-1, 1)),
)
# fig = plt.figure()
# ax = Axes3D(fig)
# ax.scatter(cordi[:, 0], cordi[:, 1], cordi[:, 2])
# plt.show()
def rotation(normal_vector_, support_vector):
a = np.array(normal_vector_)
b = np.array(support_vector)
theta_ = np.arccos(np.dot(a, b) / (np.linalg.norm(a) * np.linalg.norm(b)))
rotation_axis = np.cross(a, b)
"""
2D Line of Best Fit
===================
Fit a line to multiple 2D points.
"""
from skspatial.objects import Points, Line
from skspatial.plotting import plot_2d
points = Points([
[0, 0],
[0, 1],
[1, 2],
[3, 3],
[4, 3],
[6, 5],
[5, 6],
[7, 8],
])
line_fit = Line.best_fit(points)
plot_2d(
line_fit.plotter(t_1=-7, t_2=7, c='k'),
points.plotter(c='k'),
)