import type { BezierResult, UtilPoint } from '../types/util-types';
/**
 * For a pinned spline, the knots have to be repeated k times
 * (where k is the order), at both the beginning and the end
 */
export declare const checkPinned: (k: number, knots: number[]) => void;
export declare const multiplicity: (knots: number[], index: number) => number;
/**
 * https://saccade.com/writing/graphics/KnotVectors.pdf
 * A quadratic piecewise Bézier knot vector with seven control points
 * will look like this [0 0 0 1 1 2 2 3 3 3]. In general, in a
 * piecewise Bézier knot vector the first k knots are the same,
 * then each subsequent group of k-1 knots is the same,
 * until you get to the end.
 */
export declare const computeInsertions: (k: number, knots: number[]) => number[];
export default function toPiecewiseBezier(k: number, controlPoints: UtilPoint[], knots: number[]): BezierResult;
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