HermiteSpline

class splinebox.spline_curves.HermiteSpline(M, basis_function, closed=False, control_points=None, tangents=None, padding_function=<function padding_function>)

Class for the construction of a Hermite spline. It inherits from splinebox.spline_curves.Spline. Here, we only document the additional methods and attributes. For information on the inherited methods and attributes refere to the documentation of splinebox.spline_curves.Spline.

Parameters

Mint

Number of control points.

basis_functionsplinebox.basis_functions.BasisFunction

The basis function used to construct the spline. The multigenerator attribute has to be true and the eval method has to return two values instead of one.

closedboolean

Whether or not the spline is closed, i.e. the two ends are connected.

Attributes

basis_function	The basis function of the spline.
control_points	The control points of this spline, i.e. the c[k] in equation (1).
knots	The knots of this spline, i.e. the values of the spline at \(t=0,1,...,M\).
tangents	The tangents of this spline.

Methods

arc_length([stop, start, epsabs, epsrel])	Compute the arc length of the spline between the two parameter values specified.
arc_length_to_parameter(s[, atol])	Convert the arc length s to the coresponding value in parameter space.
copy()	Returns a deep copy of this spline.
curvature(t)	Compute the curcature of the spline at position(s) t.
curvilinear_reparametrization_energy([...])	This energy can be used to enforce equal spacing of the knots.
distance(point[, return_t])	Computes the distance of point from the spline.
draw(x, y)	Computes whether a point is inside or outside a closed spline on a regular grid of points.
dtheta(t)	Helper function for calculating the winding number.
eval(t[, derivative])	Evalute the spline or one of its derivatives at parameter value(s) t.
fit(points[, arc_length_parameterization])	Fit the provided points with the spline using least squares.
from_json(path)	Constructs a spline from a json file that was saved using splinebox.spline_curves.Spline.to_json().
is_inside(x, y)	Determines if a point with coordinates x, y is inside the spline.
mesh([radius, step_t, step_angle, ...])	Create a 3D mesh around the spline curve.
moving_frame(t[, method, initial_vector])	Compute a moving frame (local orthonormal coordinate system) along the spline.
normal(t[, frame, initial_vector])	Returns the normal vector for 1D and 2D splines.
rotate(rotation_matrix[, centred])	Rotate the spline with the provided rotation matrix.
scale(scaling_factor)	Enlarge or shrink the spline by the provided factor.
to_json(path[, version])	Saves the spline as a json file.
translate(vector)	Translates the spline by a vector.