旋转椭圆曲线在Three.js中的实现

// 引入Three.js库
import * as THREE from 'three';

// 创建场景、相机和渲染器
const scene = new THREE.Scene();
const camera = new THREE.PerspectiveCamera(75, window.innerWidth / window.innerHeight, 0.1, 1000);
const renderer = new THREE.WebGLRenderer();
renderer.setSize(window.innerWidth, window.innerHeight);
document.body.appendChild(renderer.domElement);

// 定义椭圆参数
const a = 5; // 长轴长度
const b = 3; // 短轴长度
const theta = Math.PI / 4; // 旋转角度

// 生成顶点数据
const points = [];
const segments = 64;
for (let i = 0; i <= segments; i++) {
    const t = i / segments * 2 * Math.PI;
    const x = a * Math.cos(t) * Math.cos(theta) - b * Math.sin(t) * Math.sin(theta);
    const y = a * Math.cos(t) * Math.sin(theta) + b * Math.sin(t) * Math.cos(theta);
    points.push(new THREE.Vector3(x, y, 0));
}

// 创建几何体
const geometry = new THREE.BufferGeometry().setFromPoints(points);

// 创建材质
const material = new THREE.LineBasicMaterial({ color: 0x00ff00 });

// 创建线对象
const line = new THREE.Line(geometry, material);

// 将线对象添加到场景中
scene.add(line);

// 设置相机位置
camera.position.z = 10;

// 渲染循环
function animate() {
    requestAnimationFrame(animate);
    renderer.render(scene, camera);
}
animate();