locan.data.regions.region.LineSegment2D

class locan.data.regions.region.LineSegment2D(points, is_directed=True)[source]

Bases: Region2D

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 2D 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_shapely(line)

Constructor for instantiating Region from shapely 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 area of a region to the area of a circle with the same perimeter:

max_distance

The maximum distance between any two points within the region.

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).

shapely_object

Geometric object as defined in shapely.

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)[source]

Matplotlib 2D 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) pixel position of the origin of the displayed image. Default is (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 centroid: ndarray[tuple[int, ...], dtype[float64]]

Point coordinates for region centroid.

Returns:

of shape (dimension,)

Return type:

npt.NDArray[np.float64] | None

contains(points)[source]

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

classmethod from_intervals(intervals)[source]

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_shapely(line)[source]

Constructor for instantiating Region from shapely object.

Note

This function is deprecated.

Parameters:

shapely_object – Geometric object to be converted into Region

Return type:

LineSegment2D | Polygon | MultiPolygon | EmptyRegion

property max_distance: float

The maximum distance between any two points within the region.

Return type:

float

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 shapely_object: LineString

Geometric object as defined in shapely.

Return type:

Shapely object

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]