"""
Vector-Plane Projection
=======================
Project a vector onto a plane.
"""
from skspatial.objects import Plane
from skspatial.objects import Vector
from skspatial.plotting import plot_3d
plane = Plane([0, 0, 0], [0, 0, 1])
vector = Vector([1, 1, 1])
vector_projected = plane.project_vector(vector)
_, ax = plot_3d(
plane.plotter(lims_x=(-5, 5), lims_y=(-5, 5), alpha=0.3),
vector.plotter(point=plane.point, color='k'),
vector_projected.plotter(point=plane.point,
color='r',
linewidth=2,
zorder=3),
)
ax.set_zlim([-1, 1])
"""
Point-Plane Projection
======================
Project a point onto a plane.
"""
from skspatial.objects import Plane
from skspatial.objects import Point
from skspatial.objects import Vector
from skspatial.plotting import plot_3d
plane = Plane(point=[0, 0, 2], normal=[1, 0, 2])
point = Point([5, 9, 3])
point_projected = plane.project_point(point)
vector_projection = Vector.from_points(point, point_projected)
plot_3d(
plane.plotter(lims_x=(0, 10), lims_y=(0, 15), alpha=0.3),
point.plotter(s=75, c='k'),
point_projected.plotter(c='r', s=75, zorder=3),
vector_projection.plotter(point=point, c='k', linestyle='--'),
)
"""
Plane-Line Intersection
=======================
"""
from skspatial.objects import Line, Plane
from skspatial.plotting import plot_3d
plane = Plane(point=[0, 0, 0], normal=[1, 1, 1])
line = Line(point=[-1, -1, 0], direction=[0, 0, 1])
point_intersection = plane.intersect_line(line)
plot_3d(
plane.plotter(lims_x=[-2, 2], lims_y=[-2, 2], alpha=0.2),
line.plotter(t_2=5),
point_intersection.plotter(c='k', s=75),
)
"""
Plane-Plane Intersection
========================
"""
from skspatial.objects import Plane
from skspatial.plotting import plot_3d
plane_a = Plane([0, 0, 0], [1, 0, 0])
plane_b = Plane([0, 0, 0], [1, 0, 1])
line_intersection = plane_a.intersect_plane(plane_b)
plot_3d(
plane_a.plotter(alpha=0.2),
plane_b.plotter(alpha=0.2),
line_intersection.plotter(t_1=-1, c='k'),
)
