├── .gitattributes ├── .gitignore ├── Images ├── rabit.gif ├── sp_01.png ├── sp_02.png ├── sp_03.png ├── sp_04.png └── sp_05.png ├── LICENSE ├── README.md └── SimplifyPolygon ├── Assembly-CSharp-Editor.csproj ├── Assembly-CSharp.csproj ├── Assets ├── Editor.meta ├── Editor │ ├── SimplifyTestDraw.cs │ └── SimplifyTestDraw.cs.meta ├── Scenes.meta ├── Scenes │ ├── SampleScene.unity │ └── SampleScene.unity.meta ├── Scripts.meta └── Scripts │ ├── Rabbit.cs │ ├── Rabbit.cs.meta │ ├── SimplifyPolygon.meta │ ├── SimplifyPolygon │ ├── SimplifyMesh.cs │ ├── SimplifyMesh.cs.meta │ ├── SimplifyTriangle.cs │ ├── SimplifyTriangle.cs.meta │ ├── SimplifyVertex.cs │ └── SimplifyVertex.cs.meta │ ├── SimplifyTest.cs │ └── SimplifyTest.cs.meta └── ProjectSettings ├── AudioManager.asset ├── ClusterInputManager.asset ├── DynamicsManager.asset ├── EditorBuildSettings.asset ├── EditorSettings.asset ├── GraphicsSettings.asset ├── InputManager.asset ├── NavMeshAreas.asset ├── NetworkManager.asset ├── Physics2DSettings.asset ├── PresetManager.asset ├── ProjectSettings.asset ├── ProjectVersion.txt ├── QualitySettings.asset ├── TagManager.asset ├── TimeManager.asset ├── UnityConnectSettings.asset └── VFXManager.asset /.gitattributes: -------------------------------------------------------------------------------- 1 | *.* linguist-language=C# -------------------------------------------------------------------------------- /.gitignore: -------------------------------------------------------------------------------- 1 | 2 | SimplifyPolygon/.vs/* 3 | SimplifyPolygon/Library/* 4 | *.log 5 | SimplifyPolygon/obj/Debug/* 6 | SimplifyPolygon/Packages/manifest.json 7 | SimplifyPolygon/SimplifyPolygon.sln 8 | SimplifyPolygon/Temp/* -------------------------------------------------------------------------------- /Images/rabit.gif: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/vanCopper/SimplifyPolygon/c4e9c9f359edec5705262a78b1f082bb97e27f5c/Images/rabit.gif -------------------------------------------------------------------------------- /Images/sp_01.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/vanCopper/SimplifyPolygon/c4e9c9f359edec5705262a78b1f082bb97e27f5c/Images/sp_01.png -------------------------------------------------------------------------------- /Images/sp_02.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/vanCopper/SimplifyPolygon/c4e9c9f359edec5705262a78b1f082bb97e27f5c/Images/sp_02.png -------------------------------------------------------------------------------- /Images/sp_03.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/vanCopper/SimplifyPolygon/c4e9c9f359edec5705262a78b1f082bb97e27f5c/Images/sp_03.png -------------------------------------------------------------------------------- /Images/sp_04.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/vanCopper/SimplifyPolygon/c4e9c9f359edec5705262a78b1f082bb97e27f5c/Images/sp_04.png -------------------------------------------------------------------------------- /Images/sp_05.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/vanCopper/SimplifyPolygon/c4e9c9f359edec5705262a78b1f082bb97e27f5c/Images/sp_05.png -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2019 vanCopper 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # SimplifyPolygon 2 | 3 | ![](./Images/rabit.gif) 4 | 5 | 6 | 7 | 该算法来源: 《A Simple, Fast, and Effective Polygon Reduction Algorithm》by Stam Melax. 8 | 9 | > 原文链接：https://dev.gameres.com/Program/Visual/3D/PolygonReduction.pdf 10 | 11 | 源码（Unity） 12 | 13 | > Github: https://github.com/vanCopper/SimplifyPolygon 14 | 15 | 16 | 17 | #### H.Hoppe Progressive Meshes 18 | 19 | 多数减面算法都是**H.Hoppe Progressive Meshes**的改进或变形而来。**Progressive Meshes**是由**Hugues Hoppe** 1996年发表在**ACM SIGGRAPH（国际图形图像协会）**的一篇论文。 20 | 21 | > WebPage: http://hhoppe.com/proj/pm/ 22 | > 23 | > Parper: http://hhoppe.com/pm.pdf 24 | > 25 | > Github: https://github.com/hhoppe/Mesh-processing-library/tree/master/MeshSimplify 26 | 27 | 该算法通过重复使用一个简单的边坍塌操作来降低模型的复杂度，如图2： 28 | 29 | ![](./Images/sp_01.png) 30 | 31 | **u,v**是即将被操作的两点： 32 | 33 | 1. 首先删除以**uv**为边的三角形 34 | 2. 更新剩余三角形的顶点，用顶点**u**代替**v** 35 | 3. 移除顶点**u** 36 | 37 | 重复以上过程，直到当前剩余顶点数达到预期数量。该过程会移除一个顶点（**u**），两个三角形，三条边。 38 | 39 | 假设有图3所示多边形，通过上述过程即可完成减面操作： 40 | 41 | ![](./Images/sp_02.png) 42 | 43 | 44 | 45 | #### Stam Melax 对算法的优化 46 | 47 | 算法核心是如何选择被删除的坍塌（**uv**）边，正确选择坍塌边才能最小程度的影响模型的外观视觉的变化。**Stam Melax**提出的优化算法有核心两点： 48 | 49 | * 对于平面上的表面，只需要很少的面即可 50 | * 对于高度弯曲的曲面则需要更多的面才能保证外观正确 51 | 52 | 所以确定一条边是否要坍塌，取决于**该条边的边长与曲率值的乘积**。边（**uv**)的曲率值则是通过比较相邻面的法线点积来得到，计算公式： 53 | 54 | ![](./Images/sp_03.png) 55 | 56 | 57 | 58 | ```c# 59 | private float ComputeEdgeCollapseCost(SimplifyVertex u, SimplifyVertex v) 60 | { 61 | Vector3 tp = v.position - u.position; 62 | float edgelength = Vector3.SqrMagnitude(tp); 63 | float curvature = 0.0f; // 曲率 64 | 65 | List sides = new List(); 66 | 67 | // 查找uv为边的三角形 68 | foreach (SimplifyTriangle simplifyTriangle in u.triangles) 69 | { 70 | if (simplifyTriangle.Contains(v)) 71 | { 72 | sides.Add(simplifyTriangle); 73 | } 74 | } 75 | 76 | foreach (SimplifyTriangle triangle in u.triangles) 77 | { 78 | float mincurv = 1; 79 | foreach (SimplifyTriangle sTriangle in sides) 80 | { 81 | float dotprod = Vector3.Dot(triangle.normal, sTriangle.normal); 82 | mincurv = Mathf.Min(mincurv, (1.0f - dotprod) / 2.0f); 83 | } 84 | 85 | curvature = Mathf.Max(curvature, mincurv); 86 | } 87 | 88 | return edgelength * curvature; 89 | } 90 | ``` 91 | 92 | 93 | 94 | 该算法对于脊状边的坍塌也是有效的，不管该脊是锐角或直角。如图4： 95 | 96 | ![](./Images/sp_04.png) 97 | 98 | 正确的脊状坍塌**B**可至**A**,**C**。**A**可至**C**。 99 | 100 | 如果**A**坍塌至**B**,或**C**坍塌至**A**，**C**坍塌至**B**, 均会导致模型外形的变化。 101 | 102 | 代码部分只实现了静态模型且没有贴图的算法演示，实际上如想应用还需要处理uv，顶点法线，非闭合面(有边的存在，如飘带，披风，Plane等，可将坍塌代价设置为较大值解决该问题)，以及表面断裂。 103 | 104 | 还有一种情况是多点拥有相同位置，但有不同的uv和normal，坍塌的时候因为无法找到正确的坍塌目标会导致模型出现镂空的问题。 105 | 106 | #### 最后 107 | 108 | Paper中作者有提供C++的版本，Unity算法演示见源码。 109 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assembly-CSharp-Editor.csproj: -------------------------------------------------------------------------------- 1 |  2 | 3 | 4 | latest 5 | 6 | 7 | Debug 8 | AnyCPU 9 | 10.0.20506 10 | 2.0 11 | 12 | {3AB69FE6-FE5A-7E7F-6234-79975A119673} 13 | Library 14 | Properties 15 | Assembly-CSharp-Editor 16 | v4.7.1 17 | 512 18 | . 19 | 20 | 21 | true 22 | full 23 | false 24 | Temp\bin\Debug\ 25 | 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externalObjects: {} 6 | userData: 7 | assetBundleName: 8 | assetBundleVariant: 9 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Editor/SimplifyTestDraw.cs: -------------------------------------------------------------------------------- 1 | using System.Collections; 2 | using System.Collections.Generic; 3 | using UnityEditor; 4 | using UnityEngine; 5 | 6 | [CustomEditor(typeof(SimplifyTest))] 7 | public class SimplifyTestDraw : Editor 8 | { 9 | private GUIStyle m_labelStyle = new GUIStyle(); 10 | private void OnSceneGUI() 11 | { 12 | SimplifyTest simplifyTest = (SimplifyTest)target; 13 | if (simplifyTest == null || simplifyTest.simplifyMesh == null) return; 14 | 15 | m_labelStyle.fontSize = 14; 16 | m_labelStyle.normal.textColor = Color.cyan; 17 | //m_labelStyle. 18 | 19 | //labelStyle.fontStyle 20 | Handles.BeginGUI(); 21 | GUILayout.BeginVertical(); 22 | 23 | GUILayout.Label("RenderVerticesNum: " + 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-------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 7f4f77fc5540d834facd1c54de8fd035 3 | DefaultImporter: 4 | externalObjects: {} 5 | userData: 6 | assetBundleName: 7 | assetBundleVariant: 8 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: cf28ca0eb3450564e940594686d86ec1 3 | folderAsset: yes 4 | DefaultImporter: 5 | externalObjects: {} 6 | userData: 7 | assetBundleName: 8 | assetBundleVariant: 9 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts/Rabbit.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | using System.Collections; 3 | 4 | public class Rabbit 5 | { 6 | 7 | public static Vector3[] vertices = { 8 | new 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Vector3(0.127621f,-0.581941f,-0.437170f), 393 | new Vector3(0.165902f,-0.477425f,-0.291453f), 394 | new Vector3(0.077720f,-0.417975f,-0.220519f), 395 | new Vector3(0.320892f,-0.506363f,-0.320874f), 396 | new Vector3(0.248214f,-0.465684f,-0.239842f), 397 | new Vector3(0.118764f,-0.383338f,-0.187114f), 398 | new Vector3(0.118816f,-0.430106f,-0.123307f), 399 | new Vector3(0.094131f,-0.419464f,-0.044777f), 400 | new Vector3(0.274526f,-0.261706f,0.005110f), 401 | new Vector3(0.259842f,-0.283292f,-0.003185f), 402 | new Vector3(0.222861f,-0.340431f,-0.038210f), 403 | new Vector3(0.204445f,-0.664380f,0.513353f), 404 | new Vector3(0.259286f,-0.664547f,0.471281f), 405 | new Vector3(0.185402f,-0.476020f,0.421718f), 406 | new Vector3(0.279163f,-0.664604f,0.417328f), 407 | new Vector3(0.277157f,-0.528122f,0.400208f), 408 | new Vector3(0.183069f,-0.509812f,0.329995f), 409 | new Vector3(0.282599f,-0.429210f,0.059242f), 410 | new Vector3(0.254816f,-0.664541f,0.290687f), 411 | new Vector3(0.271436f,-0.567707f,0.263966f), 412 | new Vector3(0.386561f,-0.625221f,-0.216870f), 413 | new Vector3(0.387086f,-0.630883f,-0.346073f), 414 | new Vector3(0.380021f,-0.596021f,-0.318679f), 415 | new Vector3(0.291269f,-0.619007f,-0.585707f), 416 | new Vector3(0.339280f,-0.571198f,-0.461946f), 417 | new Vector3(0.400045f,-0.489778f,-0.422640f), 418 | new Vector3(0.406817f,-0.314349f,-0.371230f), 419 | new Vector3(0.300588f,-0.281718f,-0.170549f), 420 | new Vector3(0.290866f,-0.277304f,-0.061905f), 421 | new Vector3(0.187735f,-0.241545f,0.509437f), 422 | new Vector3(0.188032f,-0.287569f,0.424234f), 423 | new Vector3(0.227520f,-0.373262f,0.293102f), 424 | new Vector3(0.266526f,-0.273650f,0.039597f), 425 | new Vector3(0.291592f,-0.291676f,0.111386f), 426 | new Vector3(0.291914f,-0.122741f,0.422683f), 427 | new Vector3(0.297574f,-0.156119f,0.373368f), 428 | new Vector3(0.286603f,-0.232731f,0.027162f), 429 | new Vector3(0.364663f,-0.201399f,0.206850f), 430 | new Vector3(0.353855f,-0.132408f,0.149228f), 431 | new Vector3(0.282208f,-0.019715f,0.314960f), 432 | new Vector3(0.331187f,-0.099266f,0.092701f), 433 | new Vector3(0.375463f,-0.093120f,-0.006467f), 434 | new Vector3(0.375917f,-0.101236f,-0.154882f), 435 | new Vector3(0.466635f,-0.094416f,-0.305669f), 436 | new Vector3(0.455805f,-0.119881f,-0.460632f), 437 | new Vector3(0.277465f,-0.604242f,-0.651871f), 438 | new Vector3(0.261022f,-0.551176f,-0.554667f), 439 | new Vector3(0.093627f,0.258494f,-0.920589f), 440 | new Vector3(0.114248f,0.310608f,-0.798070f), 441 | new Vector3(0.144232f,0.211434f,-0.835001f), 442 | new Vector3(0.119916f,0.176940f,-0.951159f), 443 | new Vector3(0.184061f,0.101854f,-0.918220f), 444 | new Vector3(0.092431f,0.276521f,-0.738231f), 445 | new Vector3(0.133504f,0.218403f,-0.758602f), 446 | new Vector3(0.194987f,0.097655f,-0.812476f), 447 | new Vector3(0.185542f,0.011005f,-0.879202f), 448 | new Vector3(0.230315f,-0.127450f,-0.884202f), 449 | new Vector3(0.260471f,0.255056f,-0.624378f), 450 | new Vector3(0.351567f,-0.042194f,-0.663976f), 451 | new Vector3(0.253742f,0.323524f,-0.433716f), 452 | new Vector3(0.411612f,0.132299f,-0.438264f), 453 | new Vector3(0.270513f,0.356530f,-0.289984f), 454 | new Vector3(0.422146f,0.162819f,-0.273130f), 455 | new Vector3(0.164724f,0.237490f,0.208912f), 456 | new Vector3(0.253806f,0.092900f,0.240640f), 457 | new Vector3(0.203608f,0.284597f,0.096223f), 458 | new Vector3(0.241006f,0.343093f,-0.171396f), 459 | new Vector3(0.356076f,0.149288f,-0.143443f), 460 | new Vector3(0.337656f,0.131992f,0.066374f) 461 | }; 462 | 463 | public static int[] triangles = { 464 | 126,134,133, 465 | 342,138,134, 466 | 133,134,138, 467 | 126,342,134, 468 | 312,316,317, 469 | 169,163,162, 470 | 312,317,319, 471 | 312,319,318, 472 | 169,162,164, 473 | 169,168,163, 474 | 312,314,315, 475 | 169,164,165, 476 | 169,167,168, 477 | 312,315,316, 478 | 312,313,314, 479 | 169,165,166, 480 | 169,166,167, 481 | 312,318,313, 482 | 308,304,305, 483 | 308,305,306, 484 | 179,181,188, 485 | 177,173,175, 486 | 177,175,176, 487 | 302,293,300, 488 | 322,294,304, 489 | 188,176,175, 490 | 188,175,179, 491 | 158,177,187, 492 | 305,293,302, 493 | 305,302,306, 494 | 322,304,308, 495 | 188,181,183, 496 | 158,173,177, 497 | 293,298,300, 498 | 304,294,296, 499 | 304,296,305, 500 | 185,176,188, 501 | 185,188,183, 502 | 187,177,176, 503 | 187,176,185, 504 | 305,296,298, 505 | 305,298,293, 506 | 436,432, 28, 507 | 436, 28, 23, 508 | 434,278,431, 509 | 30,208,209, 510 | 30,209, 29, 511 | 19, 20, 24, 512 | 208,207,211, 513 | 208,211,209, 514 | 19,210,212, 515 | 433,434,431, 516 | 433,431,432, 517 | 433,432,436, 518 | 436,437,433, 519 | 277,275,276, 520 | 277,276,278, 521 | 209,210, 25, 522 | 21, 26, 24, 523 | 21, 24, 20, 524 | 25, 26, 27, 525 | 25, 27, 29, 526 | 435,439,277, 527 | 439,275,277, 528 | 432,431, 30, 529 | 432, 30, 28, 530 | 433,437,438, 531 | 433,438,435, 532 | 434,277,278, 533 | 24, 25,210, 534 | 24, 26, 25, 535 | 29, 27, 28, 536 | 29, 28, 30, 537 | 19, 24,210, 538 | 208, 30,431, 539 | 208,431,278, 540 | 435,434,433, 541 | 435,277,434, 542 | 25, 29,209, 543 | 27, 22, 23, 544 | 27, 23, 28, 545 | 26, 22, 27, 546 | 26, 21, 22, 547 | 212,210,209, 548 | 212,209,211, 549 | 207,208,278, 550 | 207,278,276, 551 | 439,435,438, 552 | 12, 9, 10, 553 | 12, 10, 13, 554 | 2, 3, 5, 555 | 2, 5, 4, 556 | 16, 13, 14, 557 | 16, 14, 17, 558 | 22, 21, 16, 559 | 13, 10, 11, 560 | 13, 11, 14, 561 | 1, 0, 3, 562 | 1, 3, 2, 563 | 15, 12, 16, 564 | 19, 18, 15, 565 | 19, 15, 16, 566 | 19, 16, 20, 567 | 9, 1, 2, 568 | 9, 2, 10, 569 | 3, 7, 8, 570 | 3, 8, 5, 571 | 16, 17, 23, 572 | 16, 23, 22, 573 | 21, 20, 16, 574 | 10, 2, 4, 575 | 10, 4, 11, 576 | 0, 6, 7, 577 | 0, 7, 3, 578 | 12, 13, 16, 579 | 451,446,445, 580 | 451,445,450, 581 | 442,440,439, 582 | 442,439,438, 583 | 442,438,441, 584 | 421,420,422, 585 | 412,411,426, 586 | 412,426,425, 587 | 408,405,407, 588 | 413, 67, 68, 589 | 413, 68,414, 590 | 391,390,412, 591 | 80,384,386, 592 | 404,406,378, 593 | 390,391,377, 594 | 390,377, 88, 595 | 400,415,375, 596 | 398,396,395, 597 | 398,395,371, 598 | 398,371,370, 599 | 112,359,358, 600 | 112,358,113, 601 | 351,352,369, 602 | 125,349,348, 603 | 345,343,342, 604 | 342,340,339, 605 | 341,335,337, 606 | 328,341,327, 607 | 331,323,333, 608 | 331,322,323, 609 | 327,318,319, 610 | 327,319,328, 611 | 315,314,324, 612 | 302,300,301, 613 | 302,301,303, 614 | 320,311,292, 615 | 285,284,289, 616 | 310,307,288, 617 | 310,288,290, 618 | 321,350,281, 619 | 321,281,282, 620 | 423,448,367, 621 | 272,273,384, 622 | 272,384,274, 623 | 264,265,382, 624 | 264,382,383, 625 | 440,442,261, 626 | 440,261,263, 627 | 252,253,254, 628 | 252,254,251, 629 | 262,256,249, 630 | 262,249,248, 631 | 228,243,242, 632 | 228, 31,243, 633 | 213,215,238, 634 | 213,238,237, 635 | 19,212,230, 636 | 224,225,233, 637 | 224,233,231, 638 | 217,218, 56, 639 | 217, 56, 54, 640 | 217,216,239, 641 | 217,239,238, 642 | 217,238,215, 643 | 218,217,215, 644 | 218,215,214, 645 | 6,102,206, 646 | 186,199,200, 647 | 197,182,180, 648 | 170,171,157, 649 | 201,200,189, 650 | 170,190,191, 651 | 170,191,192, 652 | 175,174,178, 653 | 175,178,179, 654 | 168,167,155, 655 | 122,149,158, 656 | 122,158,159, 657 | 135,153,154, 658 | 135,154,118, 659 | 143,140,141, 660 | 143,141,144, 661 | 132,133,136, 662 | 130,126,133, 663 | 124,125,127, 664 | 122,101,100, 665 | 122,100,121, 666 | 110,108,107, 667 | 110,107,109, 668 | 98, 99, 97, 669 | 98, 97, 64, 670 | 98, 64, 66, 671 | 87, 55, 57, 672 | 83, 82, 79, 673 | 83, 79, 84, 674 | 78, 74, 50, 675 | 49, 71, 41, 676 | 49, 41, 37, 677 | 49, 37, 36, 678 | 58, 44, 60, 679 | 60, 59, 58, 680 | 51, 34, 33, 681 | 39, 40, 42, 682 | 39, 42, 38, 683 | 243,240, 33, 684 | 243, 33,229, 685 | 39, 38, 6, 686 | 44, 46, 40, 687 | 55, 56, 57, 688 | 64, 62, 65, 689 | 64, 65, 66, 690 | 41, 71, 45, 691 | 75, 50, 51, 692 | 81, 79, 82, 693 | 77, 88, 73, 694 | 93, 92, 94, 695 | 68, 47, 46, 696 | 96, 97, 99, 697 | 96, 99, 95, 698 | 110,109,111, 699 | 111,112,110, 700 | 114,113,123, 701 | 114,123,124, 702 | 132,131,129, 703 | 133,137,136, 704 | 135,142,145, 705 | 145,152,135, 706 | 149,147,157, 707 | 157,158,149, 708 | 164,150,151, 709 | 153,163,168, 710 | 153,168,154, 711 | 185,183,182, 712 | 185,182,184, 713 | 161,189,190, 714 | 200,199,191, 715 | 200,191,190, 716 | 180,178,195, 717 | 180,195,196, 718 | 102,101,204, 719 | 102,204,206, 720 | 43, 48,104, 721 | 43,104,103, 722 | 216,217, 54, 723 | 216, 54, 32, 724 | 207,224,231, 725 | 230,212,211, 726 | 230,211,231, 727 | 227,232,241, 728 | 227,241,242, 729 | 235,234,241, 730 | 235,241,244, 731 | 430,248,247, 732 | 272,274,253, 733 | 272,253,252, 734 | 439,260,275, 735 | 225,224,259, 736 | 225,259,257, 737 | 269,270,407, 738 | 269,407,405, 739 | 270,269,273, 740 | 270,273,272, 741 | 273,269,268, 742 | 273,268,267, 743 | 273,267,266, 744 | 273,266,265, 745 | 273,265,264, 746 | 448,279,367, 747 | 281,350,368, 748 | 285,286,301, 749 | 290,323,310, 750 | 290,311,323, 751 | 282,281,189, 752 | 292,311,290, 753 | 292,290,291, 754 | 307,306,302, 755 | 307,302,303, 756 | 316,315,324, 757 | 316,324,329, 758 | 331,351,350, 759 | 330,334,335, 760 | 330,335,328, 761 | 341,337,338, 762 | 344,355,354, 763 | 346,345,348, 764 | 346,348,347, 765 | 364,369,352, 766 | 364,352,353, 767 | 365,363,361, 768 | 365,361,362, 769 | 376,401,402, 770 | 373,372,397, 771 | 373,397,400, 772 | 376, 92,377, 773 | 381,378,387, 774 | 381,387,385, 775 | 386, 77, 80, 776 | 390,389,412, 777 | 416,417,401, 778 | 403,417,415, 779 | 408,429,430, 780 | 419,423,418, 781 | 427,428,444, 782 | 427,444,446, 783 | 437,436,441, 784 | 450,445, 11, 785 | 450, 11, 4, 786 | 447,449, 5, 787 | 447, 5, 8, 788 | 441,438,437, 789 | 425,426,451, 790 | 425,451,452, 791 | 417,421,415, 792 | 408,407,429, 793 | 399,403,400, 794 | 399,400,397, 795 | 394,393,416, 796 | 389,411,412, 797 | 386,383,385, 798 | 408,387,378, 799 | 408,378,406, 800 | 377,391,376, 801 | 94,375,415, 802 | 372,373,374, 803 | 372,374,370, 804 | 359,111,360, 805 | 359,112,111, 806 | 113,358,349, 807 | 113,349,123, 808 | 346,343,345, 809 | 343,340,342, 810 | 338,336,144, 811 | 338,144,141, 812 | 327,341,354, 813 | 327,354,326, 814 | 331,350,321, 815 | 331,321,322, 816 | 314,313,326, 817 | 314,326,325, 818 | 300,298,299, 819 | 300,299,301, 820 | 288,287,289, 821 | 189,292,282, 822 | 287,288,303, 823 | 284,285,297, 824 | 368,280,281, 825 | 448,447,279, 826 | 274,226,255, 827 | 267,268,404, 828 | 267,404,379, 829 | 429,262,430, 830 | 439,440,260, 831 | 257,258,249, 832 | 257,249,246, 833 | 430,262,248, 834 | 234,228,242, 835 | 234,242,241, 836 | 237,238,239, 837 | 237,239,236, 838 | 15, 18,227, 839 | 15,227,229, 840 | 222,223, 82, 841 | 222, 82, 83, 842 | 214,215,213, 843 | 214,213, 81, 844 | 38,102, 6, 845 | 122,159,200, 846 | 122,200,201, 847 | 174,171,192, 848 | 174,192,194, 849 | 197,193,198, 850 | 190,170,161, 851 | 181,179,178, 852 | 181,178,180, 853 | 166,156,155, 854 | 163,153,152, 855 | 163,152,162, 856 | 120,156,149, 857 | 120,149,121, 858 | 152,153,135, 859 | 140,143,142, 860 | 135,131,132, 861 | 135,132,136, 862 | 130,129,128, 863 | 130,128,127, 864 | 100,105,119, 865 | 100,119,120, 866 | 106,104,107, 867 | 106,107,108, 868 | 91, 95, 59, 869 | 93, 94, 68, 870 | 91, 89, 92, 871 | 76, 53, 55, 872 | 76, 55, 87, 873 | 81, 78, 79, 874 | 74, 73, 49, 875 | 69, 60, 45, 876 | 58, 62, 64, 877 | 58, 64, 61, 878 | 53, 31, 32, 879 | 32, 54, 53, 880 | 42, 43, 38, 881 | 35, 36, 0, 882 | 35, 0, 1, 883 | 34, 35, 1, 884 | 34, 1, 9, 885 | 44, 40, 41, 886 | 44, 41, 45, 887 | 33,240, 51, 888 | 63, 62, 58, 889 | 63, 58, 59, 890 | 45, 71, 70, 891 | 76, 75, 51, 892 | 76, 51, 52, 893 | 86, 85, 84, 894 | 86, 84, 87, 895 | 89, 72, 73, 896 | 89, 73, 88, 897 | 91, 92, 96, 898 | 91, 96, 95, 899 | 72, 91, 60, 900 | 72, 60, 69, 901 | 104,106,105, 902 | 119,105,117, 903 | 119,117,118, 904 | 124,127,128, 905 | 117,116,129, 906 | 117,129,131, 907 | 118,117,131, 908 | 135,140,142, 909 | 146,150,152, 910 | 146,152,145, 911 | 149,122,121, 912 | 166,165,151, 913 | 166,151,156, 914 | 158,172,173, 915 | 161,160,189, 916 | 199,198,193, 917 | 199,193,191, 918 | 204,201,202, 919 | 178,174,194, 920 | 200,159,186, 921 | 109, 48, 67, 922 | 48,107,104, 923 | 216, 32,236, 924 | 216,236,239, 925 | 223,214, 81, 926 | 223, 81, 82, 927 | 33, 12, 15, 928 | 32,228,234, 929 | 32,234,236, 930 | 240, 31, 52, 931 | 256,255,246, 932 | 256,246,249, 933 | 258,263,248, 934 | 258,248,249, 935 | 275,260,259, 936 | 275,259,276, 937 | 207,276,259, 938 | 270,271,429, 939 | 270,429,407, 940 | 413,418,366, 941 | 413,366,365, 942 | 368,367,279, 943 | 368,279,280, 944 | 303,301,286, 945 | 303,286,287, 946 | 283,282,292, 947 | 283,292,291, 948 | 320,292,189, 949 | 298,296,297, 950 | 298,297,299, 951 | 318,327,326, 952 | 318,326,313, 953 | 329,330,317, 954 | 336,333,320, 955 | 326,354,353, 956 | 334,332,333, 957 | 334,333,336, 958 | 342,339,139, 959 | 342,139,138, 960 | 345,342,126, 961 | 347,357,356, 962 | 369,368,351, 963 | 363,356,357, 964 | 363,357,361, 965 | 366,367,368, 966 | 366,368,369, 967 | 375,373,400, 968 | 92, 90,377, 969 | 409,387,408, 970 | 386,385,387, 971 | 386,387,388, 972 | 412,394,391, 973 | 396,398,399, 974 | 408,406,405, 975 | 415,421,419, 976 | 415,419,414, 977 | 425,452,448, 978 | 425,448,424, 979 | 444,441,443, 980 | 448,452,449, 981 | 448,449,447, 982 | 446,444,443, 983 | 446,443,445, 984 | 250,247,261, 985 | 250,261,428, 986 | 421,422,423, 987 | 421,423,419, 988 | 427,410,250, 989 | 417,403,401, 990 | 403,402,401, 991 | 420,392,412, 992 | 420,412,425, 993 | 420,425,424, 994 | 386,411,389, 995 | 383,382,381, 996 | 383,381,385, 997 | 378,379,404, 998 | 372,371,395, 999 | 372,395,397, 1000 | 371,372,370, 1001 | 361,359,360, 1002 | 361,360,362, 1003 | 368,350,351, 1004 | 349,347,348, 1005 | 356,355,344, 1006 | 356,344,346, 1007 | 344,341,340, 1008 | 344,340,343, 1009 | 338,337,336, 1010 | 328,335,341, 1011 | 324,352,351, 1012 | 324,351,331, 1013 | 320,144,336, 1014 | 314,325,324, 1015 | 322,308,309, 1016 | 310,309,307, 1017 | 287,286,289, 1018 | 203,280,279, 1019 | 203,279,205, 1020 | 297,295,283, 1021 | 297,283,284, 1022 | 447,205,279, 1023 | 274,384, 80, 1024 | 274, 80,226, 1025 | 266,267,379, 1026 | 266,379,380, 1027 | 225,257,246, 1028 | 225,246,245, 1029 | 256,254,253, 1030 | 256,253,255, 1031 | 430,247,250, 1032 | 226,235,244, 1033 | 226,244,245, 1034 | 232,233,244, 1035 | 232,244,241, 1036 | 230, 18, 19, 1037 | 32, 31,228, 1038 | 219,220, 86, 1039 | 219, 86, 57, 1040 | 226,213,235, 1041 | 206, 7, 6, 1042 | 122,201,101, 1043 | 201,204,101, 1044 | 180,196,197, 1045 | 170,192,171, 1046 | 200,190,189, 1047 | 194,193,195, 1048 | 183,181,180, 1049 | 183,180,182, 1050 | 155,154,168, 1051 | 149,156,151, 1052 | 149,151,148, 1053 | 155,156,120, 1054 | 145,142,143, 1055 | 145,143,146, 1056 | 136,137,140, 1057 | 133,132,130, 1058 | 128,129,116, 1059 | 100,120,121, 1060 | 110,112,113, 1061 | 110,113,114, 1062 | 66, 65, 63, 1063 | 66, 63, 99, 1064 | 66, 99, 98, 1065 | 96, 46, 61, 1066 | 89, 88, 90, 1067 | 86, 87, 57, 1068 | 80, 78, 81, 1069 | 72, 69, 49, 1070 | 67, 48, 47, 1071 | 67, 47, 68, 1072 | 56, 55, 53, 1073 | 50, 49, 36, 1074 | 50, 36, 35, 1075 | 40, 39, 41, 1076 | 242,243,229, 1077 | 242,229,227, 1078 | 6, 37, 39, 1079 | 42, 47, 48, 1080 | 42, 48, 43, 1081 | 61, 46, 44, 1082 | 45, 70, 69, 1083 | 69, 70, 71, 1084 | 69, 71, 49, 1085 | 74, 78, 77, 1086 | 83, 84, 85, 1087 | 73, 74, 77, 1088 | 93, 96, 92, 1089 | 68, 46, 93, 1090 | 95, 99, 63, 1091 | 95, 63, 59, 1092 | 115,108,110, 1093 | 115,110,114, 1094 | 125,126,127, 1095 | 129,130,132, 1096 | 137,133,138, 1097 | 137,138,139, 1098 | 148,146,143, 1099 | 148,143,147, 1100 | 119,118,154, 1101 | 161,147,143, 1102 | 165,164,151, 1103 | 158,157,171, 1104 | 158,171,172, 1105 | 159,158,187, 1106 | 159,187,186, 1107 | 194,192,191, 1108 | 194,191,193, 1109 | 189,202,201, 1110 | 182,197,184, 1111 | 205, 8, 7, 1112 | 48,109,107, 1113 | 218,219, 57, 1114 | 218, 57, 56, 1115 | 207,231,211, 1116 | 232,230,231, 1117 | 232,231,233, 1118 | 53, 52, 31, 1119 | 388,411,386, 1120 | 409,430,250, 1121 | 262,429,254, 1122 | 262,254,256, 1123 | 442,444,428, 1124 | 273,264,383, 1125 | 273,383,384, 1126 | 429,271,251, 1127 | 429,251,254, 1128 | 413,365,362, 1129 | 67,413,360, 1130 | 282,283,295, 1131 | 285,301,299, 1132 | 202,281,280, 1133 | 284,283,291, 1134 | 284,291,289, 1135 | 320,189,160, 1136 | 308,306,307, 1137 | 307,309,308, 1138 | 319,317,330, 1139 | 319,330,328, 1140 | 353,352,324, 1141 | 332,331,333, 1142 | 340,341,338, 1143 | 354,341,344, 1144 | 349,358,357, 1145 | 349,357,347, 1146 | 364,355,356, 1147 | 364,356,363, 1148 | 364,365,366, 1149 | 364,366,369, 1150 | 374,376,402, 1151 | 375, 92,373, 1152 | 77,389,390, 1153 | 382,380,381, 1154 | 389, 77,386, 1155 | 393,394,412, 1156 | 393,412,392, 1157 | 401,394,416, 1158 | 415,400,403, 1159 | 411,410,427, 1160 | 411,427,426, 1161 | 422,420,424, 1162 | 247,248,263, 1163 | 247,263,261, 1164 | 445,443, 14, 1165 | 445, 14, 11, 1166 | 449,450, 4, 1167 | 449, 4, 5, 1168 | 443,441, 17, 1169 | 443, 17, 14, 1170 | 436, 23, 17, 1171 | 436, 17,441, 1172 | 424,448,422, 1173 | 448,423,422, 1174 | 414,419,418, 1175 | 414,418,413, 1176 | 406,404,405, 1177 | 399,397,395, 1178 | 399,395,396, 1179 | 420,416,392, 1180 | 388,410,411, 1181 | 386,384,383, 1182 | 390, 88, 77, 1183 | 375, 94, 92, 1184 | 415,414, 68, 1185 | 415, 68, 94, 1186 | 370,374,402, 1187 | 370,402,398, 1188 | 361,357,358, 1189 | 361,358,359, 1190 | 125,348,126, 1191 | 346,344,343, 1192 | 340,338,339, 1193 | 337,335,334, 1194 | 337,334,336, 1195 | 325,353,324, 1196 | 324,331,332, 1197 | 324,332,329, 1198 | 323,322,309, 1199 | 323,309,310, 1200 | 294,295,297, 1201 | 294,297,296, 1202 | 289,286,285, 1203 | 202,280,203, 1204 | 288,307,303, 1205 | 282,295,321, 1206 | 67,360,111, 1207 | 418,423,367, 1208 | 418,367,366, 1209 | 272,252,251, 1210 | 272,251,271, 1211 | 272,271,270, 1212 | 255,253,274, 1213 | 265,266,380, 1214 | 265,380,382, 1215 | 442,428,261, 1216 | 440,263,258, 1217 | 440,258,260, 1218 | 409,250,410, 1219 | 255,226,245, 1220 | 255,245,246, 1221 | 31,240,243, 1222 | 236,234,235, 1223 | 236,235,237, 1224 | 233,225,245, 1225 | 233,245,244, 1226 | 220,221, 85, 1227 | 220, 85, 86, 1228 | 81,213,226, 1229 | 81,226, 80, 1230 | 7,206,205, 1231 | 186,184,198, 1232 | 186,198,199, 1233 | 204,203,205, 1234 | 204,205,206, 1235 | 195,193,196, 1236 | 171,174,172, 1237 | 173,174,175, 1238 | 173,172,174, 1239 | 155,167,166, 1240 | 160,161,143, 1241 | 160,143,144, 1242 | 119,154,155, 1243 | 148,151,150, 1244 | 148,150,146, 1245 | 140,137,139, 1246 | 140,139,141, 1247 | 127,126,130, 1248 | 114,124,128, 1249 | 114,128,115, 1250 | 117,105,106, 1251 | 117,106,116, 1252 | 104,105,100, 1253 | 104,100,103, 1254 | 59, 60, 91, 1255 | 97, 96, 61, 1256 | 97, 61, 64, 1257 | 91, 72, 89, 1258 | 87, 84, 79, 1259 | 87, 79, 76, 1260 | 78, 80, 77, 1261 | 49, 50, 74, 1262 | 60, 44, 45, 1263 | 61, 44, 58, 1264 | 51, 50, 35, 1265 | 51, 35, 34, 1266 | 39, 37, 41, 1267 | 33, 34, 9, 1268 | 33, 9, 12, 1269 | 0, 36, 37, 1270 | 0, 37, 6, 1271 | 40, 46, 47, 1272 | 40, 47, 42, 1273 | 53, 54, 56, 1274 | 65, 62, 63, 1275 | 72, 49, 73, 1276 | 79, 78, 75, 1277 | 79, 75, 76, 1278 | 52, 53, 76, 1279 | 92, 89, 90, 1280 | 96, 93, 46, 1281 | 102,103,100, 1282 | 102,100,101, 1283 | 116,106,108, 1284 | 116,108,115, 1285 | 123,125,124, 1286 | 116,115,128, 1287 | 118,131,135, 1288 | 140,135,136, 1289 | 148,147,149, 1290 | 120,119,155, 1291 | 164,162,152, 1292 | 164,152,150, 1293 | 157,147,161, 1294 | 157,161,170, 1295 | 186,187,185, 1296 | 186,185,184, 1297 | 193,197,196, 1298 | 202,203,204, 1299 | 194,195,178, 1300 | 198,184,197, 1301 | 67,111,109, 1302 | 38, 43,103, 1303 | 38,103,102, 1304 | 214,223,222, 1305 | 214,222,221, 1306 | 214,221,220, 1307 | 214,220,219, 1308 | 214,219,218, 1309 | 213,237,235, 1310 | 221,222, 83, 1311 | 221, 83, 85, 1312 | 15,229, 33, 1313 | 227, 18,230, 1314 | 227,230,232, 1315 | 52, 51,240, 1316 | 75, 78, 50, 1317 | 408,430,409, 1318 | 260,258,257, 1319 | 260,257,259, 1320 | 224,207,259, 1321 | 268,269,405, 1322 | 268,405,404, 1323 | 413,362,360, 1324 | 447, 8,205, 1325 | 299,297,285, 1326 | 189,281,202, 1327 | 290,288,289, 1328 | 290,289,291, 1329 | 322,321,295, 1330 | 322,295,294, 1331 | 333,323,311, 1332 | 333,311,320, 1333 | 317,316,329, 1334 | 320,160,144, 1335 | 353,325,326, 1336 | 329,332,334, 1337 | 329,334,330, 1338 | 339,338,141, 1339 | 339,141,139, 1340 | 348,345,126, 1341 | 347,356,346, 1342 | 123,349,125, 1343 | 364,353,354, 1344 | 364,354,355, 1345 | 365,364,363, 1346 | 376,391,394, 1347 | 376,394,401, 1348 | 92,376,374, 1349 | 92,374,373, 1350 | 377, 90, 88, 1351 | 380,379,378, 1352 | 380,378,381, 1353 | 388,387,409, 1354 | 388,409,410, 1355 | 416,393,392, 1356 | 399,398,402, 1357 | 399,402,403, 1358 | 250,428,427, 1359 | 421,417,416, 1360 | 421,416,420, 1361 | 426,427,446, 1362 | 426,446,451, 1363 | 444,442,441, 1364 | 452,451,450, 1365 | 452,450,449 1366 | }; 1367 | } 1368 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts/Rabbit.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: e60f486a281e4d94f8f93df6d9afb74c 3 | MonoImporter: 4 | externalObjects: {} 5 | serializedVersion: 2 6 | defaultReferences: [] 7 | executionOrder: 0 8 | icon: {instanceID: 0} 9 | userData: 10 | assetBundleName: 11 | assetBundleVariant: 12 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts/SimplifyPolygon.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 0a1166af36247334e82e9eb7b07b6d59 3 | folderAsset: yes 4 | DefaultImporter: 5 | externalObjects: {} 6 | userData: 7 | assetBundleName: 8 | assetBundleVariant: 9 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts/SimplifyPolygon/SimplifyMesh.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | using System.Collections; 3 | using System.Collections.Generic; 4 | 5 | public class SimplifyMesh 6 | { 7 | /// 8 | /// 1. 搜集顶点、三角面和三角边的关系。 9 | /// 2. 计算坍缩代价和坍缩目标，并排序。 10 | /// 3. 替换坍缩代价最小的点，并重新计算相邻点的坍缩代价和坍缩目标，更新有序列表。 11 | /// 4. 判断当前顶点数量是否大于目标数量，是则重复第3步。 12 | /// 13 | public Mesh originMesh; 14 | public List triangles = new List(); 15 | public List vertices = new List(); 16 | 17 | public int renderVerticesNum = 0; // 当前渲染的顶点数 18 | public int renderTrianglesNum = 0; // 当前渲染的面数 19 | 20 | public int originVerticesNum = 0; // 原网格顶点数 21 | public int originTrianglesNum = 0; // 原网格三角形数 22 | 23 | private int m_targetVerNum = 0; 24 | 25 | public SimplifyMesh(Mesh mesh) 26 | { 27 | originMesh = mesh; 28 | InitMesh(); 29 | } 30 | 31 | public Mesh GetSimplifyMesh(int targetVerNum) 32 | { 33 | if (m_targetVerNum == targetVerNum) return null; 34 | 35 | m_targetVerNum = targetVerNum; 36 | ComputeAllEdgeCollapseCosts(); 37 | 38 | while(true) 39 | { 40 | int vertexCount = vertices.Count; 41 | if (vertexCount == 0 || vertexCount <= m_targetVerNum) break; 42 | 43 | SimplifyVertex mn = MiniCostEdge(); 44 | 45 | //if (mn.isRemoved || mn.cost > 1000000.0f) break; 46 | 47 | Collapse(mn, mn.collapse); 48 | vertices.Remove(mn); 49 | } 50 | 51 | triangles.RemoveAll((triangle) => { 52 | return triangle.isRemoved; 53 | }); 54 | 55 | List indices = new List(); 56 | List tVertices = new List(); 57 | List tUVS = new List(); 58 | Dictionary idindex = new Dictionary(); 59 | 60 | int indexV = 0; 61 | foreach (SimplifyTriangle triangle in triangles) 62 | { 63 | if (!idindex.TryGetValue(triangle.v0.id, out indexV)) 64 | { 65 | indexV = tVertices.Count; 66 | idindex.Add(triangle.v0.id, indexV); 67 | tVertices.Add(triangle.v0.position); 68 | tUVS.Add(triangle.v0.uv); 69 | } 70 | indices.Add(indexV); 71 | if (!idindex.TryGetValue(triangle.v1.id, out indexV)) 72 | { 73 | indexV = tVertices.Count; 74 | idindex.Add(triangle.v1.id, indexV); 75 | tVertices.Add(triangle.v1.position); 76 | tUVS.Add(triangle.v1.uv); 77 | } 78 | indices.Add(indexV); 79 | if (!idindex.TryGetValue(triangle.v2.id, out indexV)) 80 | { 81 | indexV = tVertices.Count; 82 | idindex.Add(triangle.v2.id, indexV); 83 | tVertices.Add(triangle.v2.position); 84 | tUVS.Add(triangle.v2.uv); 85 | } 86 | indices.Add(indexV); 87 | } 88 | 89 | Mesh simplifyMesh = new Mesh(); 90 | simplifyMesh.indexFormat = UnityEngine.Rendering.IndexFormat.UInt32; 91 | simplifyMesh.vertices = tVertices.ToArray(); 92 | //simplifyMesh.uv = tUVS.ToArray(); 93 | simplifyMesh.triangles = indices.ToArray(); 94 | simplifyMesh.RecalculateNormals(); 95 | 96 | renderVerticesNum = tVertices.Count; 97 | renderTrianglesNum = indices.Count / 3; 98 | return simplifyMesh; 99 | } 100 | 101 | public void InitMesh() 102 | { 103 | Vector3[] originVertices = originMesh.vertices; 104 | int[] originTriangles = originMesh.triangles; 105 | 106 | vertices.Clear(); 107 | triangles.Clear(); 108 | 109 | 110 | for (int i = 0; i < originVertices.Length; i++) 111 | { 112 | Vector3 vexter = originVertices[i]; 113 | vertices.Add(new SimplifyVertex(vexter,i)); 114 | } 115 | 116 | int v0; 117 | int v1; 118 | int v2; 119 | for (int j = 0; j < originTriangles.Length; j += 3) 120 | { 121 | v0 = originTriangles[j]; 122 | v1 = originTriangles[j + 1]; 123 | v2 = originTriangles[j + 2]; 124 | if(vertices[v0] == vertices[v1] || vertices[v0] == vertices[v2] || vertices[v1] == vertices[v2]) 125 | { 126 | continue; 127 | } 128 | triangles.Add(new SimplifyTriangle(vertices[v0], vertices[v1], vertices[v2])); 129 | 130 | vertices[v0].AppendNeighbor(vertices[v1]); 131 | vertices[v0].AppendNeighbor(vertices[v2]); 132 | vertices[v1].AppendNeighbor(vertices[v2]); 133 | } 134 | 135 | originTrianglesNum = triangles.Count; 136 | originVerticesNum = vertices.Count; 137 | } 138 | 139 | private SimplifyVertex MiniCostEdge() 140 | { 141 | SimplifyVertex mn = vertices[0]; 142 | foreach(SimplifyVertex v in vertices) 143 | { 144 | if(!v.isRemoved && v.cost < mn.cost) 145 | { 146 | mn = v; 147 | } 148 | } 149 | return mn; 150 | } 151 | 152 | private float ComputeEdgeCollapseCost(SimplifyVertex u, SimplifyVertex v) 153 | { 154 | Vector3 tp = v.position - u.position; 155 | float edgelength = Vector3.SqrMagnitude(tp); 156 | float curvature = 0.0f; // 曲率 157 | 158 | List sides = new List(); 159 | 160 | // 查找uv为边的三角形 161 | foreach (SimplifyTriangle simplifyTriangle in u.triangles) 162 | { 163 | if (simplifyTriangle.Contains(v)) 164 | { 165 | sides.Add(simplifyTriangle); 166 | } 167 | } 168 | 169 | foreach (SimplifyTriangle triangle in u.triangles) 170 | { 171 | float mincurv = 1; 172 | foreach (SimplifyTriangle sTriangle in sides) 173 | { 174 | float dotprod = Vector3.Dot(triangle.normal, sTriangle.normal); 175 | mincurv = Mathf.Min(mincurv, (1.0f - dotprod) / 2.0f); 176 | } 177 | 178 | curvature = Mathf.Max(curvature, mincurv); 179 | } 180 | 181 | return edgelength * curvature; 182 | } 183 | 184 | private void ComputeEdgeCostAtVertex(SimplifyVertex v) 185 | { 186 | if (v.neighbors.Count == 0) 187 | { 188 | v.collapse = null; 189 | v.cost = -0.01f; 190 | return; 191 | } 192 | 193 | v.cost = 1000000.0f; 194 | v.collapse = null; 195 | 196 | //if (v.isEdge) return; 197 | 198 | foreach (SimplifyVertex nVertex in v.neighbors) 199 | { 200 | float cost = ComputeEdgeCollapseCost(v, nVertex); 201 | if (cost < v.cost) 202 | { 203 | v.collapse = nVertex; 204 | v.cost = cost; 205 | } 206 | } 207 | } 208 | 209 | private void ComputeAllEdgeCollapseCosts() 210 | { 211 | foreach (SimplifyVertex v in vertices) 212 | { 213 | ComputeEdgeCostAtVertex(v); 214 | } 215 | } 216 | 217 | // u->v 顶点v替换u 移除u 218 | private void Collapse(SimplifyVertex u, SimplifyVertex v) 219 | { 220 | if (v == null) 221 | { 222 | u.Remove(); 223 | vertices.Remove(u); 224 | return; 225 | } 226 | 227 | int i; 228 | List tmp = new List(); 229 | SimplifyTriangle simplifyTriangle; 230 | for(i = 0; i < u.neighbors.Count; i++) 231 | { 232 | tmp.Add(u.neighbors[i]); 233 | } 234 | // 移除包含uv边的三角形 235 | for(i = u.triangles.Count - 1; i >= 0; i--) 236 | { 237 | if(u.triangles[i].Contains(v)) 238 | { 239 | simplifyTriangle = u.triangles[i]; 240 | triangles.Remove(simplifyTriangle); 241 | simplifyTriangle.Remove(); 242 | } 243 | } 244 | 245 | // 用v替换u 更新包含u但不包含v的三角形 246 | for(i = u.triangles.Count - 1; i >= 0; i--) 247 | { 248 | u.triangles[i].ReplaceSimplifyVertex(u, v); 249 | } 250 | 251 | u.Remove(); 252 | vertices.Remove(u); 253 | 254 | for(i = 0; i < tmp.Count; i++) 255 | { 256 | ComputeEdgeCostAtVertex(tmp[i]); 257 | } 258 | } 259 | 260 | } 261 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts/SimplifyPolygon/SimplifyMesh.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 4404a28d9fc92a54ea76c09326514af8 3 | MonoImporter: 4 | externalObjects: {} 5 | serializedVersion: 2 6 | defaultReferences: [] 7 | executionOrder: 0 8 | icon: {instanceID: 0} 9 | userData: 10 | assetBundleName: 11 | assetBundleVariant: 12 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts/SimplifyPolygon/SimplifyTriangle.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | using System.Collections; 3 | 4 | public class SimplifyTriangle 5 | { 6 | public SimplifyVertex v0; 7 | public SimplifyVertex v1; 8 | public SimplifyVertex v2; 9 | 10 | public Vector3 normal; 11 | public bool isRemoved = false; 12 | 13 | public SimplifyTriangle(SimplifyVertex v0, SimplifyVertex v1, SimplifyVertex v2) 14 | { 15 | this.v0 = v0; 16 | this.v1 = v1; 17 | this.v2 = v2; 18 | this.v0.triangles.Add(this); 19 | this.v1.triangles.Add(this); 20 | this.v2.triangles.Add(this); 21 | ComputeNormal(); 22 | } 23 | 24 | public bool Contains(SimplifyVertex v) 25 | { 26 | return (v == v0 || v == v1 || v == v2); 27 | } 28 | 29 | public void ReplaceSimplifyVertex(SimplifyVertex vold, SimplifyVertex vnew) 30 | { 31 | if (vold == null || vnew == null) return; 32 | if (vold != v0 && vold != v1 && vold != v2) return; 33 | if (vnew == v0 || vnew == v1 || vnew == v2) return; 34 | 35 | if(vold == v0) 36 | { 37 | v0 = vnew; 38 | } 39 | 40 | if(vold == v1) 41 | { 42 | v1 = vnew; 43 | } 44 | 45 | if(vold == v2) 46 | { 47 | v2 = vnew; 48 | } 49 | 50 | int i; 51 | vold.triangles.Remove(this); 52 | 53 | if (vnew.triangles.Contains(this)) return; 54 | 55 | vnew.triangles.Add(this); 56 | 57 | vold.RemoveNeighbor(v0); 58 | vold.RemoveNeighbor(v1); 59 | vold.RemoveNeighbor(v2); 60 | 61 | if (v0.GetSimplifyTriangleCount(this) == 1) 62 | { 63 | v0.AppendUniqueNeighbor(v1); 64 | v0.AppendUniqueNeighbor(v2); 65 | } 66 | 67 | if(v1.GetSimplifyTriangleCount(this) == 1) 68 | { 69 | v1.AppendUniqueNeighbor(v0); 70 | v1.AppendUniqueNeighbor(v2); 71 | } 72 | 73 | if(v2.GetSimplifyTriangleCount(this) == 1) 74 | { 75 | v2.AppendUniqueNeighbor(v0); 76 | v2.AppendUniqueNeighbor(v1); 77 | } 78 | 79 | ComputeNormal(); 80 | 81 | } 82 | 83 | public void Remove() 84 | { 85 | isRemoved = true; 86 | v0.triangles.Remove(this); 87 | v1.triangles.Remove(this); 88 | v2.triangles.Remove(this); 89 | v0.RemoveNeighbor(v1); 90 | v0.RemoveNeighbor(v2); 91 | v1.RemoveNeighbor(v2); 92 | } 93 | 94 | private void ComputeNormal() 95 | { 96 | Vector3 n0 = v1.position - v0.position; 97 | Vector3 n1 = v2.position - v1.position; 98 | normal = Vector3.Cross(n0, n1); 99 | if (Vector3.SqrMagnitude(normal) == 0) return; 100 | normal = normal.normalized; 101 | } 102 | 103 | 104 | } 105 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts/SimplifyPolygon/SimplifyTriangle.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 6323aa6d41058f74aa395534dc830b5b 3 | MonoImporter: 4 | externalObjects: {} 5 | serializedVersion: 2 6 | defaultReferences: [] 7 | executionOrder: 0 8 | icon: {instanceID: 0} 9 | userData: 10 | assetBundleName: 11 | assetBundleVariant: 12 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts/SimplifyPolygon/SimplifyVertex.cs: -------------------------------------------------------------------------------- 1 | using System.Collections; 2 | using System.Collections.Generic; 3 | using UnityEngine; 4 | 5 | public class SimplifyVertex 6 | { 7 | public Vector3 position; 8 | public Vector2 uv; 9 | public int id; 10 | 11 | public List neighbors = new List(); 12 | public List triangles = new List(); 13 | public float cost; // 顶点折叠代价 14 | public SimplifyVertex collapse; // 折叠目标顶点 15 | public bool isRemoved = false; 16 | 17 | public static Vector3[] vectors = { 18 | new Vector3(), 19 | new Vector3() 20 | }; 21 | 22 | public SimplifyVertex() 23 | { 24 | 25 | } 26 | 27 | public SimplifyVertex(Vector3 v, Vector2 uv, int id) 28 | { 29 | this.position = v; 30 | this.uv = uv; 31 | this.id = id; 32 | } 33 | 34 | public SimplifyVertex(Vector3 v, int id) 35 | { 36 | this.position = v; 37 | this.id = id; 38 | } 39 | 40 | public int GetSimplifyTriangleCount(SimplifyTriangle simplifyTriangle) 41 | { 42 | int count = 0; 43 | foreach (SimplifyTriangle triangle in triangles) 44 | { 45 | if (triangle == simplifyTriangle) 46 | { 47 | count++; 48 | } 49 | } 50 | return count; 51 | } 52 | 53 | public void AppendNeighbor(SimplifyVertex vertex) 54 | { 55 | if (!neighbors.Contains(vertex) && this != vertex) 56 | { 57 | neighbors.Add(vertex); 58 | vertex.AppendNeighbor(this); 59 | } 60 | } 61 | 62 | public void AppendUniqueNeighbor(SimplifyVertex vertex) 63 | { 64 | if(!neighbors.Contains(vertex) && this != vertex) 65 | { 66 | neighbors.Add(vertex); 67 | } 68 | } 69 | 70 | 71 | public void RemoveNeighbor(SimplifyVertex vertex) 72 | { 73 | if (!neighbors.Contains(vertex)) return; 74 | foreach(SimplifyTriangle triangle in triangles) 75 | { 76 | if (triangle.Contains(vertex)) return; 77 | } 78 | 79 | neighbors.Remove(vertex); 80 | vertex.RemoveNeighbor(this); 81 | } 82 | 83 | public void RemvoeIfNonNeighbor(SimplifyVertex vertex) 84 | { 85 | if (!neighbors.Contains(vertex)) return; 86 | foreach (SimplifyTriangle triangle in triangles) 87 | { 88 | if (triangle.Contains(vertex)) return; 89 | } 90 | 91 | neighbors.Remove(vertex); 92 | } 93 | 94 | public void Remove() 95 | { 96 | if (this.triangles.Count > 0) return; 97 | isRemoved = true; 98 | while(neighbors.Count>0) 99 | { 100 | neighbors[0].neighbors.Remove(this); 101 | neighbors.Remove(neighbors[0]); 102 | } 103 | } 104 | } 105 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts/SimplifyPolygon/SimplifyVertex.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 574b01a1490bad6459ee701d5a4da2af 3 | MonoImporter: 4 | externalObjects: {} 5 | serializedVersion: 2 6 | defaultReferences: [] 7 | executionOrder: 0 8 | icon: {instanceID: 0} 9 | userData: 10 | assetBundleName: 11 | assetBundleVariant: 12 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts/SimplifyTest.cs: -------------------------------------------------------------------------------- 1 | using System.Collections; 2 | using System.Collections.Generic; 3 | using UnityEngine; 4 | 5 | public class SimplifyTest : MonoBehaviour 6 | { 7 | private int m_RotateSize = 45; 8 | public SimplifyMesh simplifyMesh; 9 | private float m_VerScale = 1; 10 | private MeshFilter m_Meshfilter; 11 | private int m_OriginVerNum; 12 | private int m_Dir = -1; 13 | private float m_Speed = 0.2f; 14 | // Start is called before the first frame update 15 | void Start() 16 | { 17 | //SkinnedMeshRenderer meshRenderer = GetComponent(); 18 | m_Meshfilter = GetComponent(); 19 | Mesh mesh = m_Meshfilter.mesh; 20 | if (mesh == null) 21 | { 22 | mesh = new Mesh(); 23 | } 24 | 25 | mesh.indexFormat = UnityEngine.Rendering.IndexFormat.UInt32; 26 | mesh.vertices = Rabbit.vertices; 27 | mesh.triangles = Rabbit.triangles; 28 | mesh.RecalculateNormals(); 29 | 30 | m_OriginVerNum = Rabbit.vertices.Length; 31 | //Mesh mesh = meshRenderer.sharedMesh; 32 | 33 | simplifyMesh = new SimplifyMesh(mesh); 34 | Mesh yMesh = simplifyMesh.GetSimplifyMesh((int)(mesh.vertices.Length * m_VerScale)); 35 | if(yMesh != null) m_Meshfilter.mesh = yMesh; 36 | //meshRenderer.sharedMesh = yMesh; 37 | } 38 | 39 | // Update is called once per frame 40 | void Update() 41 | { 42 | //gameObject.transform.Rotate(Vector3.up * Time.deltaTime * m_RotateSize); 43 | 44 | if (m_VerScale > 1) 45 | { 46 | m_Dir = -1; 47 | } 48 | if (m_VerScale < 0) 49 | { 50 | m_Dir = 1; 51 | } 52 | 53 | simplifyMesh.InitMesh(); 54 | m_VerScale += Time.deltaTime * m_Speed * m_Dir; 55 | Mesh yMesh = simplifyMesh.GetSimplifyMesh((int)(m_OriginVerNum * m_VerScale)); 56 | if(yMesh != null) 57 | { 58 | m_Meshfilter.mesh = yMesh; 59 | } 60 | } 61 | } 62 | -------------------------------------------------------------------------------- /SimplifyPolygon/Assets/Scripts/SimplifyTest.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 2d837c2fcd9cd27489d53a7608fca95d 3 | MonoImporter: 4 | externalObjects: {} 5 | serializedVersion: 2 6 | defaultReferences: [] 7 | executionOrder: 0 8 | icon: {instanceID: 0} 9 | userData: 10 | assetBundleName: 11 | assetBundleVariant: 12 | -------------------------------------------------------------------------------- /SimplifyPolygon/ProjectSettings/AudioManager.asset: 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