""" 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'), )