BSpline

class LRSplines.BSpline(degree_u: int, degree_v: int, knots_u: List[float], knots_v: List[float], weight: float = 1, end_u=False, end_v=False, north=False, south=False, east=False, west=False)

Represents a single weighted tensor product B-spline with associated methods and fields.

add_to_support_if_intersects(element: Element) → bool

Returns true if the given element intersects the support of this BSpline, and adds element to the list of elements of support.

Parameters:element – element in consideration Returns:true or false

intersects(element: Element) → bool

Returns true if the support of b_spline intersects the element with positive area.

Parameters:

• b_spline – b_spline whose support is to be checked
• element – element whose domain is to be checked

Returns:

true or false

knot_average

Returns the knot average for this BSpline (the Greville point).

Returns:the knot average (u, v).

overloaded

True if all its supporting elements are overloaded. :return: True or false

remove_from_support(element: Element) → bool

Removes given element from the list of elements with support. Returns true if element is found and removed, false otherwise.

Parameters:element – element to remove Returns:true or false

update_weights(other: LRSplines.b_spline.BSpline) → None

Updates the weights during splitting.