pyrot.eye_modelling.ellipsoid_fit

Attributes

logger

Functions

ellipsoid_fit(→ tuple[numpy.ndarray, numpy.ndarray, ...)

Fit an ellipsoid/sphere/paraboloid/hyperboloid to a set of xyz data points.

Module Contents

pyrot.eye_modelling.ellipsoid_fit.logger

pyrot.eye_modelling.ellipsoid_fit.ellipsoid_fit(markers_in_eye: list[list[float]], eye_shape: str) → tuple[numpy.ndarray, numpy.ndarray, numpy.ndarray, float]

Fit an ellipsoid/sphere/paraboloid/hyperboloid to a set of xyz data points.

Parameters

markers_in_eyelist of [x, y, z]

Cartesian data, list of three n x 1 vectors.

eye_shapestr

Shape to fit: - ‘sphere’ fits a sphere - ‘ellipsoid’ fits an ellipsoid with its axes aligned along [x, y, z] axes - ‘EYEPLAN’ fits an ellipsoid with x- and z- radii equal

Returns

centerndarray

Ellipsoid or other conic center coordinates [xc, yc, zc].

radiindarray

Ellipsoid or other conic radii [a, b, c].

evecsndarray

The radii directions as columns of the 3x3 matrix.

Raises

NotImplementedError

If an unsupported eye shape is provided.

Notes

It does not find exactly the best fitting ellipse (see van Vught et al.).