colour.algebra.manhattan_distance

colour.algebra.manhattan_distance(a, b)[source]

Returns the Manhattan (or City-Block) distance between point arrays \(a\) and \(b\).

For a two-dimensional space, the metric is as follows: \(M_D = |x_a - x_b| + |y_a - y_b|\)

Parameters
  • a (array_like) – Point array \(a\).

  • b (array_like) – Point array \(b\).

Returns

Manhattan distance.

Return type

numeric or ndarray

Examples

>>> a = np.array([100.00000000, 21.57210357, 272.22819350])
>>> b = np.array([100.00000000, 426.67945353, 72.39590835])
>>> manhattan_distance(a, b)  
604.9396351...