import { Vector3 } from "three";
import type { NurbsCurve } from "../core";
import type { NurbsSurface } from "../core";
/**
 * Generates a clamped uniform knot vector for given number of control points and degree.
 */
export declare function generateUniformKnots(numControlPoints: number, degree: number): number[];
/**
 * Evaluates a surface point and wraps it in a Vector3.
 */
export declare function projectPointToSurface(surface: NurbsSurface, u: number, v: number): Vector3;
/**
 * Computes the surface normal at (u, v) using verb's analytical normal.
 */
export declare function computeNormal(surface: NurbsSurface, u: number, v: number): Vector3;
/**
 * Uniformly samples a NURBS curve in 2D (UV space).
 */
export declare function sampleNurbsCurve2D(curve: NurbsCurve, numPoints?: number): [number, number][];
/**
 * Adaptively samples a NURBS curve in 2D (UV space) based on angle threshold.
 */
export declare function adaptiveSampleNurbsCurve2D(curve: NurbsCurve, maxAngleDeg?: number, maxDepth?: number): [number, number][];
/**
 * Projects a 3D point onto a surface, returning the closest UV parameters.
 */
export declare function projectPointToSurfaceUV(surface: NurbsSurface, point: number[]): [number, number] | null;
/**
 * Projects an entire 3D curve onto a surface, returning UV-space points.
 * Uses marching approach: each projected point uses the previous result as
 * initial guess for Newton iteration, ensuring continuity and speed.
 *
 * This is significantly more robust than projecting points independently,
 * especially for curves that run near surface boundaries or along near-tangent
 * directions. Based on the approach described in Section 6.1 of The NURBS Book.
 */
export declare function projectCurveOntoSurface(surface: NurbsSurface, curve: NurbsCurve, numSamples?: number): [number, number][];