ostk.mathematics.geometry.d3.object.PointSet¶

class PointSet( self: ostk.mathematics.geometry.d3.object.PointSet, points: list[ostk.mathematics.geometry.d3.object.Point], )¶

Bases: Object

A collection of 3D points.

A PointSet is an unordered collection of unique points in 3D space.

Construct a point set from an array of points.

Parameters:: points (list[Point]) -- Array of 3D points.

Example

>>> points = [Point(0.0, 0.0), Point(1.0, 1.0)]
>>> point_set = PointSet(points)
>>> point_set.is_defined()  # True

Methods

`apply_transformation`	Apply a transformation to all points in the set.
`as_cone`	Convert the object to a cone.
`as_ellipsoid`	Convert the object to an ellipsoid.
`as_line`	Convert the object to a line.
`as_line_string`	Convert the object to a line string.
`as_plane`	Convert the object to a plane.
`as_point`	Convert the object to a point.
`as_point_set`	Convert the object to a point set.
`as_polygon`	Convert the object to a polygon.
`as_pyramid`	Convert the object to a pyramid.
`as_ray`	Convert the object to a ray.
`as_segment`	Convert the object to a segment.
`as_sphere`	Convert the object to a sphere.
`contains`	Check if this object contains another object.
`distance_to`	Calculate the minimum distance from the point set to a point.
`empty`	Create an empty point set.
`get_point_closest_to`	Get the point in the set closest to a given point.
`get_size`	Get the number of points in the set.
`intersects`	Check if this object intersects another object.
`is_cone`	Check if the object is a cone.
`is_defined`	Check if the point set is defined.
`is_ellipsoid`	Check if the object is an ellipsoid.
`is_empty`	Check if the point set is empty.
`is_line`	Check if the object is a line.
`is_line_string`	Check if the object is a line string.
`is_near`	Check if another point set is near this one within a tolerance.
`is_plane`	Check if the object is a plane.
`is_point`	Check if the object is a point.
`is_point_set`	Check if the object is a point set.
`is_polygon`	Check if the object is a polygon.
`is_pyramid`	Check if the object is a pyramid.
`is_ray`	Check if the object is a ray.
`is_segment`	Check if the object is a segment.
`is_sphere`	Check if the object is a sphere.

apply_transformation( self: ostk.mathematics.geometry.d3.object.PointSet, transformation: ostk::mathematics::geometry::d3::Transformation, ) → None¶

Apply a transformation to all points in the set.

Parameters:: transformation (Transformation) -- The transformation to apply.

Example

>>> points = [Point(0.0, 0.0), Point(1.0, 1.0)]
>>> point_set = PointSet(points)
>>> transformation = Transformation.translation([1.0, 0.0])
>>> point_set.apply_transformation(transformation)

as_cone( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::Cone¶

Convert the object to a cone.

Returns:: The cone.
Return type:: Cone

as_ellipsoid( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::Ellipsoid¶

Convert the object to an ellipsoid.

Returns:: The ellipsoid.
Return type:: Ellipsoid

as_line( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::Line¶

Convert the object to a line.

Returns:: The line.
Return type:: Line

as_line_string( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::LineString¶

Convert the object to a line string.

Returns:: The line string.
Return type:: LineString

as_plane( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::Plane¶

Convert the object to a plane.

Returns:: The plane.
Return type:: Plane

as_point( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::Point¶

Convert the object to a point.

Returns:: The point.
Return type:: Point

as_point_set( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::PointSet¶

Convert the object to a point set.

Returns:: The point set.
Return type:: PointSet

as_polygon( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::Polygon¶

Convert the object to a polygon.

Returns:: The polygon.
Return type:: Polygon

as_pyramid( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::Pyramid¶

Convert the object to a pyramid.

Returns:: The pyramid.
Return type:: Pyramid

as_ray( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::Ray¶

Convert the object to a ray.

Returns:: The ray.
Return type:: Ray

as_segment( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::Segment¶

Convert the object to a segment.

Returns:: The segment.
Return type:: Segment

as_sphere( self: ostk.mathematics.geometry.d3.Object, ) → ostk::mathematics::geometry::d3::object::Sphere¶

Convert the object to a sphere.

Returns:: The sphere.
Return type:: Sphere

contains( self: ostk.mathematics.geometry.d3.Object, arg0: ostk.mathematics.geometry.d3.Object, ) → bool¶

Check if this object contains another object.

Parameters:: object (Object) -- The object to check containment of.
Returns:: True if this object contains the other object.
Return type:: bool

Example

>>> object = Cone(Point(1.0, 2.0, 3.0), [0.0, 0.0, 1.0], Angle.degrees(30.0))
>>> other_object = Point(1.0, 2.0, 3.1)
>>> object.contains(other_object)  # True

distance_to( self: ostk.mathematics.geometry.d3.object.PointSet, point: ostk.mathematics.geometry.d3.object.Point, ) → ostk.core.type.Real¶

Calculate the minimum distance from the point set to a point.

Parameters:: point (Point) -- The point to measure distance to.
Returns:: The minimum distance to any point in the set.
Return type:: float

Example

>>> points = [Point(0.0, 0.0), Point(1.0, 1.0)]
>>> point_set = PointSet(points)
>>> point_set.distance_to(Point(0.5, 0.5))  # 0.5

static empty() → ostk.mathematics.geometry.d3.object.PointSet¶

Create an empty point set.

Returns:: An empty point set.
Return type:: PointSet

Example

>>> empty_set = PointSet.empty()
>>> empty_set.is_empty()  # True
>>> empty_set.get_size()  # 0

get_point_closest_to( self: ostk.mathematics.geometry.d3.object.PointSet, point: ostk.mathematics.geometry.d3.object.Point, ) → ostk.mathematics.geometry.d3.object.Point¶

Get the point in the set closest to a given point.

Parameters:: point (Point) -- The reference point.
Returns:: The closest point in the set.
Return type:: Point

Example

>>> points = [Point(0.0, 0.0), Point(1.0, 1.0)]
>>> point_set = PointSet(points)
>>> point_set.get_point_closest_to(Point(0.5, 0.5))  # Point(0.5, 0.5)

get_size(self: ostk.mathematics.geometry.d3.object.PointSet) → int¶

Get the number of points in the set.

Returns:: The number of points.
Return type:: int

Example

>>> points = [Point(0.0, 0.0), Point(1.0, 1.0)]
>>> point_set = PointSet(points)
>>> point_set.get_size()  # 2

intersects( self: ostk.mathematics.geometry.d3.Object, arg0: ostk.mathematics.geometry.d3.Object, ) → bool¶

Check if this object intersects another object.

Parameters:: object (Object) -- The object to check intersection with.
Returns:: True if the objects intersect.
Return type:: bool

Example

>>> object = Cone(Point(1.0, 2.0, 3.0), [0.0, 0.0, 1.0], Angle.degrees(30.0))
>>> other_object = Point(1.0, 2.0, 3.1)
>>> object.intersects(other_object)  # True

is_cone(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is a cone.

Returns:: True if the object is a cone.
Return type:: bool

is_defined(self: ostk.mathematics.geometry.d3.object.PointSet) → bool¶

Check if the point set is defined.

Returns:: True if the point set is defined.
Return type:: bool

Example

>>> points = [Point(0.0, 0.0), Point(1.0, 1.0)]
>>> point_set = PointSet(points)
>>> point_set.is_defined()  # True

is_ellipsoid(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is an ellipsoid.

Returns:: True if the object is an ellipsoid.
Return type:: bool

is_empty(self: ostk.mathematics.geometry.d3.object.PointSet) → bool¶

Check if the point set is empty.

Returns:: True if the point set contains no points.
Return type:: bool

is_line(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is a line.

Returns:: True if the object is a line.
Return type:: bool

is_line_string(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is a line string.

Returns:: True if the object is a line string.
Return type:: bool

is_near( self: ostk.mathematics.geometry.d3.object.PointSet, point_set: ostk.mathematics.geometry.d3.object.PointSet, tolerance: ostk.core.type.Real, ) → bool¶

Check if another point set is near this one within a tolerance.

Parameters:

point_set (PointSet) -- The point set to compare against.
tolerance (float) -- The maximum distance for points to be considered near.

Returns:

True if the point sets are near each other.

Return type:

bool

Example

>>> points = [Point(0.0, 0.0), Point(1.0, 1.0)]
>>> point_set = PointSet(points)
>>> point_set.is_near(PointSet(points), 0.1)  # True

is_plane(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is a plane.

Returns:: True if the object is a plane.
Return type:: bool

is_point(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is a point.

Returns:: True if the object is a point.
Return type:: bool

is_point_set(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is a point set.

Returns:: True if the object is a point set.
Return type:: bool

is_polygon(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is a polygon.

Returns:: True if the object is a polygon.
Return type:: bool

is_pyramid(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is a pyramid.

Returns:: True if the object is a pyramid.
Return type:: bool

is_ray(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is a ray.

Returns:: True if the object is a ray.
Return type:: bool

is_segment(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is a segment.

Returns:: True if the object is a segment.
Return type:: bool

is_sphere(self: ostk.mathematics.geometry.d3.Object) → bool¶

Check if the object is a sphere.

Returns:: True if the object is a sphere.
Return type:: bool