kornia.geometry.line

class kornia.geometry.line.ParametrizedLine(origin, direction)

Class that describes a parametrize line.

A parametrized line is defined by an origin point \(o\) and a unit direction vector \(d\) such that the line corresponds to the set

\[l(t) = o + t * d\]

__init__(origin, direction)

Initializes a parametrized line of direction and origin.

Parameters

• origin (Tensor) – any point on the line of any dimension.

• direction (Tensor) – the normalized vector direction of any dimension.

Example

>>> o = torch.tensor([0.0, 0.0])
>>> d = torch.tensor([1.0, 1.0])
>>> l = ParametrizedLine(o, d)

dim()

Return the dimension in which the line holds.

Return type

int

property direction: Tensor

Return the line direction vector.

Return type

Tensor

distance(point)

Return the distance of a point to its projections onto the line.

Parameters

point (Tensor) – the point to calculate the distance into the line.

Return type

Tensor

property origin: Tensor

Return the line origin point.

Return type

Tensor

point_at(t)

The point at \(t\) along this line.

Parameters

t (Union[float, Tensor]) – step along the line.

Return type

Tensor

Returns

tensor with the point.

Example

>>> p0 = torch.tensor([0.0, 0.0])
>>> p1 = torch.tensor([1.0, 1.0])
>>> l = ParametrizedLine.through(p0, p1)
>>> p2 = l.point_at(0.1)

projection(point)

Return the projection of a point onto the line.

Parameters

point (Tensor) – the point to be projected.

Return type

Tensor

squared_distance(point)

Return the squared distance of a point to its projection onte the line.

Parameters

point (Tensor) – the point to calculate the distance onto the line.

Return type

Tensor

classmethod through(p0, p1)

Constructs a parametrized line going from a point \(p0\) to \(p1\).

Parameters

• p0 – tensor with first point \((B, D)\) where D is the point dimension.

• p1 – tensor with second point \((B, D)\) where D is the point dimension.

Example

>>> p0 = torch.tensor([0.0, 0.0])
>>> p1 = torch.tensor([1.0, 1.0])
>>> l = ParametrizedLine.through(p0, p1)

Return type

ParametrizedLine

kornia.geometry.line.fit_line(points, weights=None)

Fit a line from a set of points.

Parameters

• points (Tensor) – tensor containing a batch of sets of n-dimensional points. The expected shape of the tensor is \((B,N,D)\).

• weights (Optional[Tensor], optional) – weights to use to solve the equations system. The expected shape of the tensor is \((B,N)\). Default: None

Return type

ParametrizedLine

Returns

A tensor containing the direction of the fited line of shape \((B,D)\).

Example

>>> points = torch.rand(2, 10, 3)
>>> weights = torch.ones(2, 10)
>>> line = fit_line(points, weights)
>>> line.direction.shape
torch.Size([2, 3])

class kornia.geometry.line.Hyperplane

Not implemented yet: https://gitlab.com/libeigen/eigen/-/blob/master/Eigen/src/Geometry/Hyperplane.h.