import type { Point3 } from '../../types';
import { Vector3 } from '../geometry';
import Curve from './Curve';
/**
 * Utility class for manipulating Catmull-Rom 3D curves
 *
 * @exports
 * @class CatmullRomCurve3
 * @extends Curve<Vector3>
 */
export default class CatmullRomCurve3 extends Curve<Vector3> {
    readonly type: string;
    /**
     * X-axis coordinate of the start point
     */
    x1: number;
    /**
     * Y-axis coordinate of the start point
     */
    y1: number;
    /**
     * Z-axis coordinate of the start point
     */
    z1: number;
    /**
     * X-axis coordinate of the first control point
     */
    cp1x: number;
    /**
     * Y-axis coordinate of the first control point
     */
    cp1y: number;
    /**
     * Z-axis coordinate of the first control point
     */
    cp1z: number;
    /**
     * X-axis coordinate of the second control point
     */
    cp2x: number;
    /**
     * Y-axis coordinate of the second control point
     */
    cp2y: number;
    /**
     * Z-axis coordinate of the second control point
     */
    cp2z: number;
    /**
     * X-axis coordinate of the end point
     */
    x2: number;
    /**
     * Y-axis coordinate of the end point
     */
    y2: number;
    /**
     * Z-axis coordinate of the end point
     */
    z2: number;
    /**
     * @param {number} x1   X-axis coordinate of the start point
     * @param {number} y1   Y-axis coordinate of the start point
     * @param {number} z1   Z-axis coordinate of the start point
     * @param {number} cp1x X-axis coordinate of the first control point
     * @param {number} cp1y Y-axis coordinate of the first control point
     * @param {number} cp1z Z-axis coordinate of the first control point
     * @param {number} cp2x X-axis coordinate of the second control point
     * @param {number} cp2y Y-axis coordinate of the second control point
     * @param {number} cp2z Z-axis coordinate of the second control point
     * @param {number} x2   X-axis coordinate of the end point
     * @param {number} y2   Y-axis coordinate of the end point
     * @param {number} z2   Z-axis coordinate of the end point
     */
    constructor(x1: number, y1: number, z1: number, cp1x: number, cp1y: number, cp1z: number, cp2x: number, cp2y: number, cp2z: number, x2: number, y2: number, z2: number);
    /**
     * Interpolate a point on this curve
     *
     * @param {number} t Normalized time value to interpolate
     * @returns {Vector2} Interpolated coordinates on this curve
     */
    getPoint(t: number): Vector3;
    /**
     * Interpolate a point on a Catmull-Rom curve
     *
     * @param {number} x1   X-axis coordinate of the start point
     * @param {number} y1   Y-axis coordinate of the start point
     * @param {number} z1   Z-axis coordinate of the start point
     * @param {number} cp1x X-axis coordinate of the first control point
     * @param {number} cp1y Y-axis coordinate of the first control point
     * @param {number} cp1z Z-axis coordinate of the first control point
     * @param {number} cp2x X-axis coordinate of the second control point
     * @param {number} cp2y Y-axis coordinate of the second control point
     * @param {number} cp2z Z-axis coordinate of the second control point
     * @param {number} x2   X-axis coordinate of the end point
     * @param {number} y2   Y-axis coordinate of the end point
     * @param {number} z2   Z-axis coordinate of the end point
     * @returns {Point3} Interpolated coordinates on the curve
     */
    static interpolate(t: number, x1: number, y1: number, z1: number, cp1x: number, cp1y: number, cp1z: number, cp2x: number, cp2y: number, cp2z: number, x2: number, y2: number, z2: number): Point3;
}