locan.data.regions.region.LineSegment3D

class locan.data.regions.region.LineSegment3D(points, is_directed=True)

Bases: Region3D

Region class to define a line.

The line is constructed from a list of two points. A direction is given by the order of points with the first point as origin.

Parameters:

points (npt.ArrayLike) – Points with shape (2, dimension)

Methods

__init__(points[, is_directed])
as_artist([origin])	Matplotlib patch object for this region (e.g. matplotlib.patches.Ellipse).
buffer(distance, **kwargs)	Extend the region perpendicular by a distance.
contains(points)	Return list of indices for all points that are inside the region of interest.
from_intervals(intervals)	Constructor for instantiating Line from list of (min, max) bounds.
from_open3d(cls, open3d_object)	Constructor for instantiating Region from open3d object.
intersection(other)	Returns a region representing the intersection of this region with other.
plot([ax])	Provide plot of region as matplotlib.axes.Axes object.
symmetric_difference(other)	Returns the union of the two regions minus any areas contained in the intersection of the two regions.
union(other)	Returns a region representing the union of this region with other.

Attributes

bounding_box	A region describing the minimum axis-aligned bounding box that encloses the original region.
bounds	Region bounds min_x, min_y, ..., max_x, max_y, .
centroid	Point coordinates for region centroid.
dimension	The region dimension.
elongation	A measure between 0 and 1 for how elongated the object is.
extent	The extent (max_x - min_x), (max_y - min_y), .
intervals	Provide bounds in a tuple (min, max) arrangement.
isoperimetric_quotient	Ratio of the volume of a region to the volume of a ball with the same surface:
max_distance	The maximum distance between any two points within the region.
open3d_object
origin	The starting point of a directed line.
radial_distance	Average of all absolute distances between vertices and centroid.
region_measure	Region measure, i.e. area (for 2d) or volume (for 3d).
subregion_measure	Measure of the sub-dimensional region, i.e. perimeter length (for 2d) or surface area (for 3d).
vertices	Terminal points of line.

as_artist(origin=(0, 0), **kwargs)

Matplotlib patch object for this region (e.g. matplotlib.patches.Ellipse).

Parameters:

• origin (Union[_Buffer, _SupportsArray[dtype[Any]], _NestedSequence[_SupportsArray[dtype[Any]]], bool, int, float, complex, str, bytes, _NestedSequence[bool | int | float | complex | str | bytes]]) – The (x, y, z) pixel position of the origin of the displayed image. Default is (0, 0, 0).

• kwargs (Any) – Other parameters passed to the matplotlib.patches object.

Returns:

Matplotlib patch for the specified region.

Return type:

matplotlib.patches.Patch

property bounding_box: AxisOrientedCuboid

A region describing the minimum axis-aligned bounding box that encloses the original region.

Return type:

Region

property bounds: ndarray[tuple[int, ...], dtype[float64]]

Region bounds min_x, min_y, …, max_x, max_y, … for each dimension.

Returns:

of shape (2 * dimension,)

Return type:

npt.NDArray[np.float64] | None

buffer(distance, **kwargs)

Extend the region perpendicular by a distance.

Parameters:

distance (float) – Distance by which the region is extended.

Returns:

The extended region.

Return type:

Region

property centroid: ndarray[tuple[int, ...], dtype[float64]]

Point coordinates for region centroid.

Returns:

of shape (dimension,)

Return type:

npt.NDArray[np.float64] | None

contains(points)

Return list of indices for all points that are inside the region of interest.

Parameters:

points (Union[_Buffer, _SupportsArray[dtype[Any]], _NestedSequence[_SupportsArray[dtype[Any]]], bool, int, float, complex, str, bytes, _NestedSequence[bool | int | float | complex | str | bytes]]) – Coordinates of points that are tested for being inside the specified region.

Returns:

Array with indices for all points in original point array that are within the region.

Return type:

npt.NDArray[np.int64]

property elongation: float

A measure between 0 and 1 for how elongated the object is. It is computed as: 1 - the ratio of length of minor axis to length of major axis.

Return type:

float

property extent: ndarray[tuple[int, ...], dtype[float64]]

The extent (max_x - min_x), (max_y - min_y), … for each dimension.

Returns:

of shape (dimension,)

Return type:

npt.NDArray[np.float64] | None

classmethod from_intervals(intervals)

Constructor for instantiating Line from list of (min, max) bounds.

Parameters:

intervals (Union[_Buffer, _SupportsArray[dtype[Any]], _NestedSequence[_SupportsArray[dtype[Any]]], bool, int, float, complex, str, bytes, _NestedSequence[bool | int | float | complex | str | bytes]]) – The region bounds for each dimension of shape (dimension, 2)

Return type:

LineSegment2D

classmethod from_open3d(cls, open3d_object)

Constructor for instantiating Region from open3d object.

Note

This function is deprecated.

Parameters:

open3d_object (LineSet) – Geometric object to be converted into Region

Return type:

AxisOrientedCuboid | Cuboid | EmptyRegion

property intervals: ndarray[tuple[int, ...], dtype[float64]]

Provide bounds in a tuple (min, max) arrangement.

Returns:

((min_x, max_x), …) of shape(dimension, 2)

Return type:

tuple[tuple[float, float], …]

property max_distance: float

The maximum distance between any two points within the region.

Return type:

float

property open3d_object: LineSet

property origin: ndarray[tuple[int, ...], dtype[float64]] | None

The starting point of a directed line.

Returns:

of shape(dimension)

Return type:

npt.NDArray[np.float64] | None

property region_measure: float

Region measure, i.e. area (for 2d) or volume (for 3d).

Return type:

float

property subregion_measure: float

Measure of the sub-dimensional region, i.e. perimeter length (for 2d) or surface area (for 3d).

Return type:

float

property vertices: ndarray[tuple[int, ...], dtype[float64]]

Terminal points of line.

Returns:

of shape(2, dimension)

Return type:

npt.NDArray[np.float64]