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# Logs
logs
*.log
npm-debug.log*
yarn-debug.log*
yarn-error.log*
pnpm-debug.log*
lerna-debug.log*
node_modules
dist
dist-ssr
*.local
# Editor directories and files
.vscode/*
!.vscode/extensions.json
.idea
.DS_Store
*.suo
*.ntvs*
*.njsproj
*.sln
*.sw?

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/dist/*
.local
.output.js
/node_modules/**
**/*.svg
**/*.sh
/public/*

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{
"useTabs": false,
"tabWidth": 2,
"printWidth": 80,
"singleQuote": true,
"trailingComma": "none",
"semi": false
}

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{
"recommendations": ["johnsoncodehk.volar"]
}

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# 矩阵
在3D计算机图形学中，4x4矩阵最常用的用法是作为一个变换矩阵Transformation Matrix。
Matrix4
矩阵可以直接看成二维数组。
![](https://alicdn.taoya.art/img/202204280903188.png)
什么是三维投影转换？ 简而言之，就是将三维空间中的物体，投射在相机视平面的转换算法
三维投影矩阵计算公式如下：
```shell
const uMatrix = ProjectMatrix * CameraMatrixWorldInverse* ObjectMatrixWorld
```
视图矩阵称为**ViewMatrix**
视图矩阵的含义是，固定其他因素，我们改变了相机的位置和角度后，它眼中的世界也会发生变化，这种变化就是视图矩阵。
### 获取屏幕二维坐标
给定三维坐标[x, y, z]，怎么获取它在屏幕上的二维坐标呢？计算公式如下：
```shell
const [x, y] = ProjectionMatrix * CameraWorldMatrixInverse * [x, y, z]
```
THREE在Vector3上封装了方法：
```shell
const v = new THREE.Vector3(x, y, z);
const xy = v.project(camera);
```
### 屏幕坐标转化为三维坐标
给定屏幕二维坐标[x, y]，怎么获取它在三维空间中三维坐标呢？计算公式如下：
```shell
const [x, y, z] = CameraWorldMatrix * ProjectionMatrixInverse * [x, y, z]
```
```shell
const v = new THREE.Vector3(x, y, z);
const xyz = v.unproject(camera);
```
## 文档
https://threejs.org/docs/#api/zh/math/Matrix4

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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8" />
<link rel="icon" href="/favicon.ico" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>Vite App</title>
<!-- 启用360浏览器的极速模式(webkit) -->
<meta name="renderer" content="webkit">
<!-- 避免IE使用兼容模式 -->
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<!-- 针对手持设备优化，主要是针对一些老的不识别viewport的浏览器，比如黑莓 -->
<meta name="HandheldFriendly" content="true">
<!-- 微软的老式浏览器 -->
<meta name="MobileOptimized" content="320">
<!-- uc强制竖屏 -->
<meta name="screen-orientation" content="portrait">
<!-- QQ强制竖屏 -->
<meta name="x5-orientation" content="portrait">
<!-- UC强制全屏 -->
<meta name="full-screen" content="yes">
<!-- QQ强制全屏 -->
<meta name="x5-fullscreen" content="true">
<!-- UC应用模式 -->
<meta name="browsermode" content="application">
<!-- QQ应用模式 -->
<meta name="x5-page-mode" content="app">
<!-- windows phone 点击无高光 -->
<meta name="msapplication-tap-highlight" content="no">
<meta content="telephone=no" name="format-detection" />
<meta name="huaban" content="nopin" />
<meta name="apple-mobile-web-app-capable" content="yes" />
<meta name="apple-mobile-web-app-status-bar-style" content="black" />
</head>
<body>
<div id="app"></div>
<script type="module" src="/src/main.js"></script>
</body>
</html>

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{
"name": "three_3d",
"private": true,
"version": "0.0.0",
"scripts": {
"dev": "vite",
"build": "vite build",
"preview": "vite preview",
"prettier": "prettier --write ."
},
"dependencies": {
"autoprefixer": "^10.4.2",
"element-plus": "^2.1.11",
"normalize.css": "^8.0.1",
"postcss": "^8.4.8",
"postcss-import": "^14.0.2",
"sass": "^1.49.9",
"stats.js": "^0.17.0",
"three": "^0.138.3",
"tweakpane": "^3.0.7",
"vite-plugin-glsl": "^0.1.1",
"vue": "^3.2.25"
},
"devDependencies": {
"@vitejs/plugin-vue": "^2.2.0",
"prettier": "^2.5.1",
"vite": "^2.8.0"
}
}

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module.exports = {
"plugins": {
// 兼容浏览器，添加前缀
'autoprefixer': {
overrideBrowserslist: [
"Android 4.1",
"iOS 7.1",
"Chrome > 31",
"ff > 31",
"ie >= 8",
"last 10 versions", // 所有主流浏览器最近10版本用
],
grid: true,
}
}
}

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User-agent: *
Disallow:

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<script>
import { defineComponent } from 'vue'
import BasicScene from './scene/index'
export default defineComponent({
data() {
return {
camera: {
position: {
x: 0,
y: 0,
z: 10
},
matrix: []
},
model: {
position: {
x: 0,
y: 0,
z: 0
},
matrix: []
}
}
},
methods: {
resetCamera() {
this.effect.camera.position.set(0, 0, 10)
},
resetModel() {},
cameraPos(pos) {
this.effect.camera.position.set(
this.camera.position.x,
this.camera.position.y,
this.camera.position.z
)
this.effect.camera.updateMatrixWorld(true)
this.camera.matrix = []
this.camera.matrix = [...this.effect.camera.matrix.elements]
},
modelPos(pos) {
this.effect.box.position.set(
this.model.position.x,
this.model.position.y,
this.model.position.z
)
this.effect.box.updateMatrixWorld(true)
this.model.matrix = []
this.model.matrix = [...this.effect.box.matrix.elements]
}
},
beforeMount() {
this.effect = new BasicScene()
this.camera.matrix = [...this.effect.camera.matrix.elements]
this.model.matrix = [...this.effect.box.matrix.elements]
}
})
</script>
<template>
<div class="controller">
<el-row>
<el-col :span="6">
<h4>View(Camera)</h4>
<div>
<!-- {{ effect.camera.matrix.elements }} -->
<el-form label-width="120px">
<el-form-item label="Position X">
<el-input-number
:step="1"
size="small"
v-model="camera.position.x"
@change="cameraPos('x')"
/>
</el-form-item>
<el-form-item label="Position Y">
<el-input-number
:step="1"
size="small"
v-model="camera.position.y"
@change="cameraPos('y')"
/>
</el-form-item>
<el-form-item label="Position Z">
<el-input-number
:step="1"
size="small"
v-model="camera.position.z"
@change="cameraPos('z')"
/>
</el-form-item>
</el-form>
<el-button type="primary" size="small" @click="resetCamera"
>重置View(Camera)</el-button
>
</div>
</el-col>
<el-col :span="6">
<h4>Model(Camera)</h4>
<div>
<el-form label-width="120px">
<el-form-item label="Position X">
<el-input-number
:step="1"
size="small"
v-model="model.position.x"
@change="modelPos('x')"
/>
</el-form-item>
<el-form-item label="Position Y">
<el-input-number
:step="1"
size="small"
v-model="model.position.y"
@change="modelPos('y')"
/>
</el-form-item>
<el-form-item label="Position Z">
<el-input-number
:step="1"
size="small"
v-model="model.position.z"
@change="modelPos('z')"
/>
</el-form-item>
</el-form>
<el-button type="primary" size="small" @click="resetModel"
>重置View(Camera)</el-button
>
</div>
</el-col>
<el-col :span="4">
<h4>View(Matrix)</h4>
<div class="grid">
<div v-for="(item, index) in camera.matrix" :key="index">
{{ item }}
</div>
</div>
</el-col>
<el-col :span="4">
<h4>Model(Matrix)</h4>
<div class="grid">
<div v-for="(item, index) in model.matrix" :key="index">
{{ item }}
</div>
</div>
</el-col>
<el-col :span="4">
<h4>ModelView(Matrix)</h4>
</el-col>
</el-row>
</div>
</template>
<style lang="scss" scoped>
.controller {
width: 100%;
height: 20vh;
background: #fff;
position: fixed;
bottom: 0;
left: 0;
padding: 35px 32px;
.grid {
display: grid;
grid-template-columns: repeat(4, 1fr);
div {
font-size: 10px;
}
}
}
</style>

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import {
createApp
} from 'vue'
import App from './App.vue'
import ElementPlus from 'element-plus'
import 'element-plus/dist/index.css'
import 'normalize.css';
let app = createApp(App)
app.use(ElementPlus)
app.mount('#app')

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import * as THREE from 'three';
import {
REVISION
} from 'three';
import {
OrbitControls
} from 'three/examples/jsm/controls/OrbitControls'
import Stats from 'stats.js'
import {
Pane
} from 'tweakpane'
let debug = true;
export default class Sketch {
constructor() {
if (debug) console.log("Three Version: ", REVISION);
// 初始化
this.initParam();
this.init();
// 调试
// this.initAxesHelp();
this.initGridHelp();
this.initController();
this.render();
this.loop();
// Main
this.generateCircular();
}
/// 对象
generateCircular() {
let box = new THREE.BoxGeometry(1, 1, 1);
let material = new THREE.MeshBasicMaterial({
color: 'blue',
});
let mesh = new THREE.Mesh(box, material);
this.box = mesh;
this.scene.add(this.box);
var mat4 = new THREE.Matrix4()
// 默认值单位矩阵
// 1, 0, 0, 0,
// 0, 1, 0, 0,
// 0, 0, 1, 0,
// 0, 0, 0, 1
console.log('查看矩阵对象默认值', mat4.elements);
/// set()方法
/// 重置矩阵的元素值，执行.set()方法，本质上改变的就是矩阵elements属性值
mat4.set(
1, 0, 0, 5,
0, 1, 0, 3,
0, 0, 1, 9,
0, 0, 0, 1
)
mat4.transpose();
console.log('查看mat4的转置矩阵', mat4.elements);
}
loop() {
const Delta = this.clock.getDelta();
this.index = window.requestAnimationFrame(this.loop.bind(this));
this.render();
}
initParam() {
this.width = window.innerWidth;
this.height = window.innerHeight;
this.aspect = this.width / this.height;
this.clock = new THREE.Clock();
}
init() {
const {
innerWidth,
innerHeight
} = window;
this.aspect = innerWidth / innerHeight;
// 场景
this.scene = new THREE.Scene();
this.scene.background = new THREE.Color('#eeeeee');
// 摄像机
this.camera = new THREE.PerspectiveCamera(75, this.aspect, 0.1, 1000);
this.camera.position.set(0, 0, 10);
this.camera.lookAt(0, 0, 0);
// 渲染
this.aspect = innerWidth / innerHeight;
this.renderer = new THREE.WebGLRenderer({
antialias: true,
alpha: true,
});
this.renderer.setSize(innerWidth, innerHeight);
this.renderer.render(this.scene, this.camera);
this.renderer.setPixelRatio = window.Pixi
document.body.appendChild(this.renderer.domElement);
}
initAxesHelp() {
this.axesHelper = new THREE.AxesHelper(100);
this.scene.add(this.axesHelper);
}
initGridHelp() {
this.gridHelper = new THREE.GridHelper(300, 300);
this.gridHelper.position.y = -0.5;
this.gridHelper.position.x = -0.5;
this.gridHelper.position.z = -0.5;
this.scene.add(this.gridHelper);
}
initController() {
const that = this;
this.controller = new OrbitControls(this.camera, this.renderer.domElement);
this.controller.addEventListener('change', function () {
that.renderer.render(that.scene, that.camera);
})
}
render() {
this.renderer.render(this.scene, this.camera);
}
}

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body {
background-color: red;
}

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// 两个数字之间随机数
function rand(min, max) {
return Math.random() * (max - min + 1) + min
}

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import {
defineConfig
} from 'vite'
import vue from '@vitejs/plugin-vue'
import glsl from 'vite-plugin-glsl'
import path from 'path'
const nodeResolve = (dir) => path.resolve(__dirname, '.', dir)
// https://vitejs.dev/config/
export default defineConfig({
resolve: {
alias: {
'@': nodeResolve('src')
},
},
server: {
host: '0.0.0.0',
port: 3000,
},
css: {
preprocessorOptions: {
scss: {
additionalData: `@import "@/style/variables.scss";`,
javascriptEnabled: true,
},
},
},
plugins: [
vue(),
glsl(),
]
})

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integrity sha512-BREuTgTYlUr0zw0EZn3hnhC3I6gPWv+Kwh4MCih6QcAeaTlaIX0DwOVN0wHej7hSvDPecz4jygy/idsgKfW58Q==
vue@^3.2.25:
version "3.2.33"
resolved "http://10.1.23.43:4873/vue/-/vue-3.2.33.tgz#7867eb16a3293a28c4d190a837bc447878bd64c2"
integrity sha512-si1ExAlDUrLSIg/V7D/GgA4twJwfsfgG+t9w10z38HhL/HA07132pUQ2KuwAo8qbCyMJ9e6OqrmWrOCr+jW7ZQ==
dependencies:
"@vue/compiler-dom" "3.2.33"
"@vue/compiler-sfc" "3.2.33"
"@vue/runtime-dom" "3.2.33"
"@vue/server-renderer" "3.2.33"
"@vue/shared" "3.2.33"