euclidean_error¶

menpofit.error.euclidean_error(shape, gt_shape)[source]

Computes the Euclidean error between two shapes, i.e.

$\frac{1}{N}\sum_{i=1}^N\sqrt{(s_{i,x}-s^*_{i,x})^2 + (s_{i,y}-s^*_{i,y})^2}$

where $$(s_{i,x}, s_{i,y})$$ are the x and y coordinates of the $$i$$’th point of the final shape, $$(s^*_{i,x}, s^*_{i,y})$$ are the x and y coordinates of the $$i$$’th point of the ground truth shape and $$N$$ is the total number of points.

Parameters
• shape (menpo.shape.PointCloud) – The input shape (e.g. the final shape of a fitting procedure).

• gt_shape (menpo.shape.PointCloud) – The ground truth shape.

Returns

root_mean_square_error (float) – The Euclidean error.