quadtree terrain

src/client/game.ts

@@ -96,7 +96,7 @@ export class Game {
     this.thirdPersonCamera?.update(dt);
     this.joystick?.update(dt);
 
-    this.world?.update(dt);
+    this.player && this.world?.update(this.player.container.position);
   }
 
   bindSocket() {

src/client/object/world/ClientWorld.ts

@@ -1,19 +1,17 @@
-import { Mesh, Object3D, Vector3 } from 'three';
+import { Object3D, Vector2, Vector3 } from 'three';
 import { WorldChunk } from '../../../common/world/WorldChunk';
 import { WorldManager } from '../../../common/world/WorldManager';
 import { ClientWorldChunkShader } from './ClientWorldChunkShader';
-import { ClientWorldMesher } from './ClientWorldMesher';
 import { ClientWorldTexture } from './ClientWorldTexture';
+import { QuadtreeMesher } from './quadtree/quadtree-mesher';
 
 // TODO: distance loading
-// TODO: LOD
 
 const BASE = '/assets/terrain/';
 
 export class ClientWorld extends WorldManager {
   public world = new Object3D();
-  private _mesher = new ClientWorldMesher();
-  private _chunkMeshes: Mesh[] = [];
+  private _chunkMeshers: QuadtreeMesher[] = [];
   private _chunkMeshQueue: WorldChunk[] = [];
   private _worldTextures: Map<string, ClientWorldTexture> = new Map();
   private _shader = new ClientWorldChunkShader(this._worldTextures);
@@ -62,7 +60,7 @@ export class ClientWorld extends WorldManager {
     }
   }
 
-  update(dt: number) {
+  update(camera: Vector3) {
     if (this._chunkMeshQueue.length) {
       const chunk = this._chunkMeshQueue.shift();
       const material = this._shader.getShader(
@@ -71,16 +69,22 @@ export class ClientWorld extends WorldManager {
         chunk.region.splat.map((file) => `${BASE}/texture/${file}`),
       );
 
-      const mesh = this._mesher.createTerrainMesh(
-        chunk,
+      const root = new QuadtreeMesher(
+        chunk.size,
+        new Vector2(chunk.size * chunk.x, chunk.size * chunk.y),
         material,
-        this.getHeight.bind(this),
-        this.getNormalVector.bind(this),
       );
 
-      this._chunkMeshes.push(mesh);
-      this.world.add(mesh);
+      root.getHeight = this.getInterpolatedHeight.bind(this);
+      root.getNormal = this.getNormalVector.bind(this);
+      root.initialize();
+
+      this._chunkMeshers.push(root);
+      this.world.add(root.container);
+      return;
     }
+
+    this._chunkMeshers.forEach((item) => item.update(camera));
   }
 
   private createMeshes() {

src/client/object/world/ClientWorldMesher.ts

@@ -1,75 +0,0 @@
-import {
-  BufferGeometry,
-  Float32BufferAttribute,
-  Material,
-  Mesh,
-  Vector3,
-} from 'three';
-import { WorldChunk } from '../../../common/world/WorldChunk';
-
-export class ClientWorldMesher {
-  public createGeometry(
-    chunk: WorldChunk,
-    getHeight: (x: number, y: number) => number,
-    getNormal: (x: number, y: number) => Vector3,
-  ): BufferGeometry {
-    const geometry = new BufferGeometry();
-    const vertices = [];
-    const normals = [];
-    const indices = [];
-    const uvs = [];
-    for (let x = 0; x < chunk.size; x++) {
-      for (let y = 0; y < chunk.size; y++) {
-        const normal = getNormal(y, x);
-        vertices.push(
-          (y / chunk.size - 1) * chunk.size,
-          getHeight(y, x),
-          (x / chunk.size - 1) * chunk.size,
-        );
-        normals.push(normal.x, normal.y, normal.z);
-        uvs.push(y / (chunk.size - 1), x / (chunk.size - 1));
-      }
-    }
-
-    for (let x = 0; x < chunk.size - 1; x++) {
-      for (let y = 0; y < chunk.size - 1; y++) {
-        const topLeft = x * chunk.size + y;
-        const topRight = topLeft + 1;
-        const bottomLeft = (x + 1) * chunk.size + y;
-        const bottomRight = bottomLeft + 1;
-        indices.push(
-          topLeft,
-          bottomLeft,
-          topRight,
-          topRight,
-          bottomLeft,
-          bottomRight,
-        );
-      }
-    }
-
-    geometry.setIndex(indices);
-    geometry.setAttribute('position', new Float32BufferAttribute(vertices, 3));
-    geometry.setAttribute('normal', new Float32BufferAttribute(normals, 3));
-    geometry.setAttribute('uv', new Float32BufferAttribute(uvs, 2));
-
-    return geometry;
-  }
-
-  public createTerrainMesh(
-    chunk: WorldChunk,
-    material: Material,
-    getHeight: (x: number, y: number) => number,
-    getNormal: (x: number, y: number) => Vector3,
-  ): Mesh {
-    const geometry = this.createGeometry(chunk, getHeight, getNormal);
-    const mesh = new Mesh(geometry, material);
-    mesh.position.set(
-      chunk.size * (chunk.x + 1),
-      0,
-      chunk.size * (chunk.y + 1),
-    );
-
-    return mesh;
-  }
-}

src/client/object/world/quadtree/quadtree-mesher.ts

@@ -0,0 +1,26 @@
+import { Material, Object3D, Vector2, Vector3 } from 'three';
+import { QuadtreeNode } from './quadtree-node';
+
+export class QuadtreeMesher {
+  public getHeight!: (x: number, y: number) => number;
+  public getNormal!: (x: number, y: number) => Vector3;
+  public root!: QuadtreeNode;
+  public container = new Object3D();
+  public actionsLeft = 1;
+  public maxDepth = 3;
+
+  constructor(
+    public size: number,
+    public position: Vector2,
+    public material: Material,
+  ) {}
+
+  public update(camera: Vector3) {
+    this.actionsLeft = 1;
+    this.root?.update(camera);
+  }
+
+  public initialize() {
+    this.root = new QuadtreeNode(this, null, 0, 0, this.position.clone());
+  }
+}

src/client/object/world/quadtree/quadtree-node.ts

@@ -0,0 +1,286 @@
+import {
+  BufferGeometry,
+  Float32BufferAttribute,
+  Mesh,
+  Vector2,
+  Vector3,
+} from 'three';
+import { QuadtreeMesher } from './quadtree-mesher';
+
+export enum LODQuadrant {
+  TOP_LEFT,
+  TOP_RIGHT,
+  BOTTOM_RIGHT,
+  BOTTOM_LEFT,
+}
+
+export enum LODSide {
+  TOP,
+  RIGHT,
+  BOTTOM,
+  LEFT,
+}
+
+export function mirrorSide(x: number): number {
+  return (x + 2) % 4;
+}
+
+export function isAdjacent(s: number, q: number): boolean {
+  return (4 + q - s) % 4 <= 1;
+}
+
+export function reflectSide(s: number, q: number): number {
+  return s % 2 ? (q % 2 ? q - 1 : q + 1) : 3 - q;
+}
+
+export class QuadtreeNode {
+  public _children: QuadtreeNode[] = [];
+  public _neighbors: QuadtreeNode[] = [];
+  private _leaf = true;
+  private _mesh?: Mesh;
+
+  constructor(
+    public root: QuadtreeMesher,
+    public parent: QuadtreeNode,
+    public level: number,
+    public quadrant: number,
+    public position: Vector2,
+  ) {}
+
+  public dispose() {
+    if (this._mesh) {
+      this._destroyMesh();
+    }
+    this._children.forEach((child) => child.dispose());
+    this._children.length = 0;
+  }
+
+  public isMeshed() {
+    return !!this._mesh;
+  }
+
+  public update(camera: Vector3) {
+    if (this.root.actionsLeft === 0) {
+      return;
+    }
+
+    const size = this.root.size / Math.pow(2, this.level);
+    const abs = new Vector3(
+      this.position.x + size / 2,
+      camera.y,
+      this.position.y + size / 2,
+    );
+
+    if (this._leaf) {
+      if (abs.distanceTo(camera) < size && this._canSubdivide()) {
+        this._subdivide();
+        this.root.actionsLeft -= 1;
+        return;
+      }
+
+      if (!this._mesh) {
+        this._createMesh();
+        this.root.actionsLeft -= 1;
+        return;
+      }
+    } else if (!this._leaf) {
+      if (abs.distanceTo(camera) > size) {
+        this._merge();
+        this.root.actionsLeft -= 1;
+      }
+
+      if (
+        this.isMeshed() &&
+        this._children.every((child) => child.isMeshed())
+      ) {
+        this._destroyMesh();
+      }
+
+      this._children.forEach((child) => child.update(camera));
+    }
+  }
+
+  public setNeighbor(side: LODSide, neighbor: QuadtreeNode) {
+    this._neighbors[side] = neighbor;
+    neighbor._neighbors[mirrorSide(side)] = this;
+  }
+
+  public findNeighbor(side: LODSide) {
+    if (!this._neighbors[side] && this.parent && this.parent._neighbors[side]) {
+      const neighbor =
+        this.parent._neighbors[side]?._children[
+          reflectSide(side, this.quadrant)
+        ];
+      if (neighbor) {
+        this.setNeighbor(side, neighbor);
+      } else {
+        return;
+      }
+    }
+
+    if (!this._leaf) {
+      for (let i = 0; i < 4; i++) {
+        if (isAdjacent(side, i)) {
+          this._children[i].findNeighbor(side);
+        }
+      }
+    }
+  }
+
+  private _createGeometry(): BufferGeometry {
+    const apparentSize = this.root.size / Math.pow(2, this.level);
+    const vertCount =
+      this.root.size / Math.pow(2, this.root.maxDepth - this.level);
+    const divisionLevel = Math.pow(2, this.level);
+    const geometry = new BufferGeometry();
+    const vertices = [];
+    const normals = [];
+    const indices = [];
+    const uvs = [];
+
+    for (let x = 0; x < vertCount; x++) {
+      for (let y = 0; y < vertCount; y++) {
+        const vertDivj = y / (vertCount - 1);
+        const vertDivi = x / (vertCount - 1);
+
+        const absX = this.position.x + (y / (vertCount - 1)) * apparentSize;
+        const absY = this.position.y + (x / (vertCount - 1)) * apparentSize;
+        const normal = this.root.getNormal(absX, absY);
+
+        // Calculate relative resolution
+        const pj = vertDivj * (this.root.size / divisionLevel);
+        const pi = vertDivi * (this.root.size / divisionLevel);
+
+        vertices.push(pj, this.root.getHeight(absX, absY), pi);
+        normals.push(normal.x, normal.y, normal.z);
+        uvs.push(absX / (this.root.size - 1), absY / (this.root.size - 1));
+      }
+    }
+
+    for (let x = 0; x < vertCount - 1; x++) {
+      for (let y = 0; y < vertCount - 1; y++) {
+        const topLeft = x * vertCount + y;
+        const topRight = topLeft + 1;
+        const bottomLeft = (x + 1) * vertCount + y;
+        const bottomRight = bottomLeft + 1;
+        indices.push(
+          topLeft,
+          bottomLeft,
+          topRight,
+          topRight,
+          bottomLeft,
+          bottomRight,
+        );
+      }
+    }
+
+    geometry.setIndex(indices);
+    geometry.setAttribute('position', new Float32BufferAttribute(vertices, 3));
+    geometry.setAttribute('normal', new Float32BufferAttribute(normals, 3));
+    geometry.setAttribute('uv', new Float32BufferAttribute(uvs, 2));
+
+    return geometry;
+  }
+
+  private _merge(): boolean {
+    if (this._leaf) {
+      return false;
+    }
+
+    this._children.forEach((child) => child.dispose());
+    this._children.length = 0;
+    this._leaf = true;
+    return true;
+  }
+
+  private _subdivide(): boolean {
+    if (!this._canSubdivide()) {
+      return false;
+    }
+
+    const level = this.level + 1;
+    const stepLeft = this.root.size / Math.pow(2, level);
+    const stepForward = this.root.size / Math.pow(2, level);
+
+    const { x, y } = this.position;
+
+    // Create children
+    this._children[LODQuadrant.TOP_LEFT] = new QuadtreeNode(
+      this.root,
+      this,
+      level,
+      LODQuadrant.TOP_LEFT,
+      new Vector2(x, y),
+    );
+    this._children[LODQuadrant.TOP_RIGHT] = new QuadtreeNode(
+      this.root,
+      this,
+      level,
+      LODQuadrant.TOP_RIGHT,
+      new Vector2(stepLeft + x, y),
+    );
+    this._children[LODQuadrant.BOTTOM_RIGHT] = new QuadtreeNode(
+      this.root,
+      this,
+      level,
+      LODQuadrant.BOTTOM_RIGHT,
+      new Vector2(stepLeft + x, stepForward + y),
+    );
+    this._children[LODQuadrant.BOTTOM_LEFT] = new QuadtreeNode(
+      this.root,
+      this,
+      level,
+      LODQuadrant.BOTTOM_LEFT,
+      new Vector2(x, stepForward + y),
+    );
+
+    // Set sibling neighbors
+    this._children[LODQuadrant.TOP_LEFT].setNeighbor(
+      LODSide.RIGHT,
+      this._children[LODQuadrant.TOP_RIGHT],
+    );
+    this._children[LODQuadrant.TOP_RIGHT].setNeighbor(
+      LODSide.BOTTOM,
+      this._children[LODQuadrant.BOTTOM_RIGHT],
+    );
+    this._children[LODQuadrant.BOTTOM_RIGHT].setNeighbor(
+      LODSide.LEFT,
+      this._children[LODQuadrant.BOTTOM_LEFT],
+    );
+    this._children[LODQuadrant.BOTTOM_LEFT].setNeighbor(
+      LODSide.TOP,
+      this._children[LODQuadrant.TOP_LEFT],
+    );
+
+    // set adjacent neighbors
+    for (let i = 0; i < 4; i++) {
+      if (this._neighbors[i] && !this._neighbors[i]._leaf) {
+        this._neighbors[i].findNeighbor(mirrorSide(i));
+      }
+    }
+
+    this._leaf = false;
+    return true;
+  }
+
+  private _createMesh() {
+    if (this._mesh) {
+      this.root.container.remove(this._mesh);
+      this._mesh = null;
+    }
+    const geometry = this._createGeometry();
+    const mesh = new Mesh(geometry, this.root.material);
+    mesh.position.set(this.position.x, 0, this.position.y);
+    this.root.container.add(mesh);
+    this._mesh = mesh;
+  }
+
+  private _destroyMesh() {
+    this.root.container.remove(this._mesh);
+    this._mesh = null;
+  }
+
+  private _canSubdivide() {
+    return this._leaf && this.level < this.root.maxDepth - 1;
+  }
+}