# DX¶

class menpofit.differentiable.DX[source]

Bases: object

Object that is able to take its own derivative with respect to spatial changes.

abstract d_dx(points)[source]

The first order derivative of this spatial object with respect to spatial changes evaluated at points.

Parameters

points ((n_points, n_dims) ndarray) – The spatial points at which the derivative should be evaluated.

Returns

d_dx ((n_points, n_dims, n_dims) ndarray) – The Jacobian wrt spatial changes.

d_dx[i, j, k] is the scalar differential change that the j’th dimension of the i’th point experiences due to a first order change in the k’th dimension.

It may be the case that the Jacobian is constant across space - in this case axis zero may have length 1 to allow for broadcasting.