Babylon.js/Babylon/Mesh/babylon.meshSimplification.js

var BABYLON;
(function (BABYLON) {
    

    

    var SimplificationSettings = (function () {
        function SimplificationSettings(quality, distance) {
            this.quality = quality;
            this.distance = distance;
        }
        return SimplificationSettings;
    })();
    BABYLON.SimplificationSettings = SimplificationSettings;

    /**
    * The implemented types of simplification.
    * At the moment only Quadratic Error Decimation is implemented.
    */
    (function (SimplificationType) {
        SimplificationType[SimplificationType["QUADRATIC"] = 0] = "QUADRATIC";
    })(BABYLON.SimplificationType || (BABYLON.SimplificationType = {}));
    var SimplificationType = BABYLON.SimplificationType;

    var DecimationTriangle = (function () {
        function DecimationTriangle(vertices) {
            this.vertices = vertices;
            this.error = new Array(4);
            this.deleted = false;
            this.isDirty = false;
            this.borderFactor = 0;
        }
        return DecimationTriangle;
    })();
    BABYLON.DecimationTriangle = DecimationTriangle;

    var DecimationVertex = (function () {
        function DecimationVertex(position, normal, uv, id) {
            this.position = position;
            this.normal = normal;
            this.uv = uv;
            this.id = id;
            this.isBorder = true;
            this.q = new QuadraticMatrix();
            this.triangleCount = 0;
            this.triangleStart = 0;
        }
        return DecimationVertex;
    })();
    BABYLON.DecimationVertex = DecimationVertex;

    var QuadraticMatrix = (function () {
        function QuadraticMatrix(data) {
            this.data = new Array(10);
            for (var i = 0; i < 10; ++i) {
                if (data && data[i]) {
                    this.data[i] = data[i];
                } else {
                    this.data[i] = 0;
                }
            }
        }
        QuadraticMatrix.prototype.det = function (a11, a12, a13, a21, a22, a23, a31, a32, a33) {
            var det = this.data[a11] * this.data[a22] * this.data[a33] + this.data[a13] * this.data[a21] * this.data[a32] + this.data[a12] * this.data[a23] * this.data[a31] - this.data[a13] * this.data[a22] * this.data[a31] - this.data[a11] * this.data[a23] * this.data[a32] - this.data[a12] * this.data[a21] * this.data[a33];
            return det;
        };

        QuadraticMatrix.prototype.addInPlace = function (matrix) {
            for (var i = 0; i < 10; ++i) {
                this.data[i] += matrix.data[i];
            }
        };

        QuadraticMatrix.prototype.addArrayInPlace = function (data) {
            for (var i = 0; i < 10; ++i) {
                this.data[i] += data[i];
            }
        };

        QuadraticMatrix.prototype.add = function (matrix) {
            var m = new QuadraticMatrix();
            for (var i = 0; i < 10; ++i) {
                m.data[i] = this.data[i] + matrix.data[i];
            }
            return m;
        };

        QuadraticMatrix.FromData = function (a, b, c, d) {
            return new QuadraticMatrix(QuadraticMatrix.DataFromNumbers(a, b, c, d));
        };

        //returning an array to avoid garbage collection
        QuadraticMatrix.DataFromNumbers = function (a, b, c, d) {
            return [a * a, a * b, a * c, a * d, b * b, b * c, b * d, c * c, c * d, d * d];
        };
        return QuadraticMatrix;
    })();
    BABYLON.QuadraticMatrix = QuadraticMatrix;

    var Reference = (function () {
        function Reference(vertexId, triangleId) {
            this.vertexId = vertexId;
            this.triangleId = triangleId;
        }
        return Reference;
    })();
    BABYLON.Reference = Reference;

    /**
    * An implementation of the Quadratic Error simplification algorithm.
    * Original paper : http://www1.cs.columbia.edu/~cs4162/html05s/garland97.pdf
    * Ported mostly from QSlim and http://voxels.blogspot.de/2014/05/quadric-mesh-simplification-with-source.html to babylon JS
    * @author RaananW
    */
    var QuadraticErrorSimplification = (function () {
        function QuadraticErrorSimplification(_mesh) {
            this._mesh = _mesh;
            this.initialised = false;
            this.syncIterations = 5000;
            this.aggressiveness = 7;
            this.decimationIterations = 100;
        }
        QuadraticErrorSimplification.prototype.simplify = function (settings, successCallback) {
            var _this = this;
            this.initWithMesh(this._mesh, function () {
                _this.runDecimation(settings, successCallback);
            });
        };

        QuadraticErrorSimplification.prototype.runDecimation = function (settings, successCallback) {
            var _this = this;
            var targetCount = ~~(this.triangles.length * settings.quality);
            var deletedTriangles = 0;

            var triangleCount = this.triangles.length;

            var iterationFunction = function (iteration, callback) {
                setTimeout(function () {
                    if (iteration % 5 === 0) {
                        _this.updateMesh(iteration === 0);
                    }

                    for (var i = 0; i < _this.triangles.length; ++i) {
                        _this.triangles[i].isDirty = false;
                    }

                    var threshold = 0.000000001 * Math.pow((iteration + 3), _this.aggressiveness);

                    var trianglesIterator = function (i) {
                        var tIdx = ~~(((_this.triangles.length / 2) + i) % _this.triangles.length);
                        var t = _this.triangles[tIdx];
                        if (!t)
                            return;
                        if (t.error[3] > threshold || t.deleted || t.isDirty) {
                            return;
                        }
                        for (var j = 0; j < 3; ++j) {
                            if (t.error[j] < threshold) {
                                var deleted0 = [];
                                var deleted1 = [];

                                var i0 = t.vertices[j];
                                var i1 = t.vertices[(j + 1) % 3];
                                var v0 = _this.vertices[i0];
                                var v1 = _this.vertices[i1];

                                if (v0.isBorder !== v1.isBorder)
                                    continue;

                                var p = BABYLON.Vector3.Zero();
                                var n = BABYLON.Vector3.Zero();
                                var uv = BABYLON.Vector2.Zero();
                                var color = new BABYLON.Color4(0, 0, 0, 1);

                                _this.calculateError(v0, v1, p, n, uv, color);

                                if (_this.isFlipped(v0, i1, p, deleted0, t.borderFactor))
                                    continue;
                                if (_this.isFlipped(v1, i0, p, deleted1, t.borderFactor))
                                    continue;

                                v0.position = p;
                                v0.normal = n;
                                if (v0.uv)
                                    v0.uv = uv;
                                else if (v0.color)
                                    v0.color = color;
                                v0.q = v1.q.add(v0.q);
                                var tStart = _this.references.length;

                                deletedTriangles = _this.updateTriangles(v0.id, v0, deleted0, deletedTriangles);
                                deletedTriangles = _this.updateTriangles(v0.id, v1, deleted1, deletedTriangles);

                                var tCount = _this.references.length - tStart;

                                if (tCount <= v0.triangleCount) {
                                    if (tCount) {
                                        for (var c = 0; c < tCount; c++) {
                                            _this.references[v0.triangleStart + c] = _this.references[tStart + c];
                                        }
                                    }
                                } else {
                                    v0.triangleStart = tStart;
                                }

                                v0.triangleCount = tCount;
                                break;
                            }
                        }
                    };
                    BABYLON.AsyncLoop.SyncAsyncForLoop(_this.triangles.length, _this.syncIterations, trianglesIterator, callback, function () {
                        return (triangleCount - deletedTriangles <= targetCount);
                    });
                }, 0);
            };

            BABYLON.AsyncLoop.Run(this.decimationIterations, function (loop) {
                if (triangleCount - deletedTriangles <= targetCount)
                    loop.breakLoop();
                else {
                    iterationFunction(loop.index, function () {
                        loop.executeNext();
                    });
                }
            }, function () {
                setTimeout(function () {
                    successCallback(_this.reconstructMesh());
                }, 0);
            });
        };

        QuadraticErrorSimplification.prototype.initWithMesh = function (mesh, callback) {
            var _this = this;
            if (!mesh)
                return;

            this.vertices = [];
            this.triangles = [];

            this._mesh = mesh;

            //It is assumed that a mesh has positions, normals and either uvs or colors.
            var positionData = this._mesh.getVerticesData(BABYLON.VertexBuffer.PositionKind);
            var normalData = this._mesh.getVerticesData(BABYLON.VertexBuffer.NormalKind);
            var uvs = this._mesh.getVerticesData(BABYLON.VertexBuffer.UVKind);
            var colorsData = this._mesh.getVerticesData(BABYLON.VertexBuffer.ColorKind);
            var indices = mesh.getIndices();

            var vertexInit = function (i) {
                var vertex = new DecimationVertex(BABYLON.Vector3.FromArray(positionData, i * 3), BABYLON.Vector3.FromArray(normalData, i * 3), null, i);
                if (_this._mesh.isVerticesDataPresent(BABYLON.VertexBuffer.UVKind)) {
                    vertex.uv = BABYLON.Vector2.FromArray(uvs, i * 2);
                } else if (_this._mesh.isVerticesDataPresent(BABYLON.VertexBuffer.ColorKind)) {
                    vertex.color = BABYLON.Color4.FromArray(colorsData, i * 4);
                }
                _this.vertices.push(vertex);
            };
            var totalVertices = mesh.getTotalVertices();
            BABYLON.AsyncLoop.SyncAsyncForLoop(totalVertices, this.syncIterations, vertexInit, function () {
                var indicesInit = function (i) {
                    var pos = i * 3;
                    var i0 = indices[pos + 0];
                    var i1 = indices[pos + 1];
                    var i2 = indices[pos + 2];
                    var triangle = new DecimationTriangle([_this.vertices[i0].id, _this.vertices[i1].id, _this.vertices[i2].id]);
                    _this.triangles.push(triangle);
                };
                BABYLON.AsyncLoop.SyncAsyncForLoop(indices.length / 3, _this.syncIterations, indicesInit, function () {
                    _this.init(callback);
                });
            });
        };

        QuadraticErrorSimplification.prototype.init = function (callback) {
            var _this = this;
            var triangleInit1 = function (i) {
                var t = _this.triangles[i];
                t.normal = BABYLON.Vector3.Cross(_this.vertices[t.vertices[1]].position.subtract(_this.vertices[t.vertices[0]].position), _this.vertices[t.vertices[2]].position.subtract(_this.vertices[t.vertices[0]].position)).normalize();
                for (var j = 0; j < 3; j++) {
                    _this.vertices[t.vertices[j]].q.addArrayInPlace(QuadraticMatrix.DataFromNumbers(t.normal.x, t.normal.y, t.normal.z, -(BABYLON.Vector3.Dot(t.normal, _this.vertices[t.vertices[0]].position))));
                }
            };
            BABYLON.AsyncLoop.SyncAsyncForLoop(this.triangles.length, this.syncIterations, triangleInit1, function () {
                var triangleInit2 = function (i) {
                    var t = _this.triangles[i];
                    for (var j = 0; j < 3; ++j) {
                        t.error[j] = _this.calculateError(_this.vertices[t.vertices[j]], _this.vertices[t.vertices[(j + 1) % 3]]);
                    }
                    t.error[3] = Math.min(t.error[0], t.error[1], t.error[2]);
                };
                BABYLON.AsyncLoop.SyncAsyncForLoop(_this.triangles.length, _this.syncIterations, triangleInit2, function () {
                    _this.initialised = true;
                    callback();
                });
            });
        };

        QuadraticErrorSimplification.prototype.reconstructMesh = function () {
            var newTriangles = [];
            var i;
            for (i = 0; i < this.vertices.length; ++i) {
                this.vertices[i].triangleCount = 0;
            }
            var t;
            var j;
            for (i = 0; i < this.triangles.length; ++i) {
                if (!this.triangles[i].deleted) {
                    t = this.triangles[i];
                    for (j = 0; j < 3; ++j) {
                        this.vertices[t.vertices[j]].triangleCount = 1;
                    }
                    newTriangles.push(t);
                }
            }

            var newVerticesOrder = [];

            //compact vertices, get the IDs of the vertices used.
            var dst = 0;
            for (i = 0; i < this.vertices.length; ++i) {
                if (this.vertices[i].triangleCount) {
                    this.vertices[i].triangleStart = dst;
                    this.vertices[dst].position = this.vertices[i].position;
                    this.vertices[dst].normal = this.vertices[i].normal;
                    this.vertices[dst].uv = this.vertices[i].uv;
                    this.vertices[dst].color = this.vertices[i].color;
                    newVerticesOrder.push(i);
                    dst++;
                }
            }

            for (i = 0; i < newTriangles.length; ++i) {
                t = newTriangles[i];
                for (j = 0; j < 3; ++j) {
                    t.vertices[j] = this.vertices[t.vertices[j]].triangleStart;
                }
            }
            this.vertices = this.vertices.slice(0, dst);

            var newPositionData = [];
            var newNormalData = [];
            var newUVsData = [];
            var newColorsData = [];

            for (i = 0; i < newVerticesOrder.length; ++i) {
                newPositionData.push(this.vertices[i].position.x);
                newPositionData.push(this.vertices[i].position.y);
                newPositionData.push(this.vertices[i].position.z);
                newNormalData.push(this.vertices[i].normal.x);
                newNormalData.push(this.vertices[i].normal.y);
                newNormalData.push(this.vertices[i].normal.z);
                if (this.vertices[i].uv) {
                    newUVsData.push(this.vertices[i].uv.x);
                    newUVsData.push(this.vertices[i].uv.y);
                } else if (this.vertices[i].color) {
                    newColorsData.push(this.vertices[i].color.r);
                    newColorsData.push(this.vertices[i].color.g);
                    newColorsData.push(this.vertices[i].color.b);
                    newColorsData.push(this.vertices[i].color.a);
                }
            }

            var newIndicesArray = [];
            for (i = 0; i < newTriangles.length; ++i) {
                newIndicesArray.push(newTriangles[i].vertices[0]);
                newIndicesArray.push(newTriangles[i].vertices[1]);
                newIndicesArray.push(newTriangles[i].vertices[2]);
            }

            //not cloning, to avoid geometry problems. Creating a whole new mesh.
            var newMesh = new BABYLON.Mesh(this._mesh.name + "Decimated", this._mesh.getScene());
            newMesh.material = this._mesh.material;
            newMesh.parent = this._mesh.parent;
            newMesh.setIndices(newIndicesArray);
            newMesh.setVerticesData(BABYLON.VertexBuffer.PositionKind, newPositionData);
            newMesh.setVerticesData(BABYLON.VertexBuffer.NormalKind, newNormalData);
            if (newUVsData.length > 0)
                newMesh.setVerticesData(BABYLON.VertexBuffer.UVKind, newUVsData);
            if (newColorsData.length > 0)
                newMesh.setVerticesData(BABYLON.VertexBuffer.ColorKind, newColorsData);

            //preparing the skeleton support
            if (this._mesh.skeleton) {
                //newMesh.skeleton = this._mesh.skeleton.clone("", "");
                //newMesh.getScene().beginAnimation(newMesh.skeleton, 0, 100, true, 1.0);
            }

            return newMesh;
        };

        QuadraticErrorSimplification.prototype.isFlipped = function (vertex1, index2, point, deletedArray, borderFactor) {
            for (var i = 0; i < vertex1.triangleCount; ++i) {
                var t = this.triangles[this.references[vertex1.triangleStart + i].triangleId];
                if (t.deleted)
                    continue;

                var s = this.references[vertex1.triangleStart + i].vertexId;

                var id1 = t.vertices[(s + 1) % 3];
                var id2 = t.vertices[(s + 2) % 3];

                if ((id1 === index2 || id2 === index2) && borderFactor < 2) {
                    deletedArray[i] = true;
                    continue;
                }

                var d1 = this.vertices[id1].position.subtract(point);
                d1 = d1.normalize();
                var d2 = this.vertices[id2].position.subtract(point);
                d2 = d2.normalize();
                if (Math.abs(BABYLON.Vector3.Dot(d1, d2)) > 0.999)
                    return true;
                var normal = BABYLON.Vector3.Cross(d1, d2).normalize();
                deletedArray[i] = false;
                if (BABYLON.Vector3.Dot(normal, t.normal) < 0.2)
                    return true;
            }

            return false;
        };

        QuadraticErrorSimplification.prototype.updateTriangles = function (vertexId, vertex, deletedArray, deletedTriangles) {
            var newDeleted = deletedTriangles;
            for (var i = 0; i < vertex.triangleCount; ++i) {
                var ref = this.references[vertex.triangleStart + i];
                var t = this.triangles[ref.triangleId];
                if (t.deleted)
                    continue;
                if (deletedArray[i]) {
                    t.deleted = true;
                    newDeleted++;
                    continue;
                }
                t.vertices[ref.vertexId] = vertexId;
                t.isDirty = true;
                t.error[0] = this.calculateError(this.vertices[t.vertices[0]], this.vertices[t.vertices[1]]) + (t.borderFactor / 2);
                t.error[1] = this.calculateError(this.vertices[t.vertices[1]], this.vertices[t.vertices[2]]) + (t.borderFactor / 2);
                t.error[2] = this.calculateError(this.vertices[t.vertices[2]], this.vertices[t.vertices[0]]) + (t.borderFactor / 2);
                t.error[3] = Math.min(t.error[0], t.error[1], t.error[2]);
                this.references.push(ref);
            }
            return newDeleted;
        };

        QuadraticErrorSimplification.prototype.identifyBorder = function () {
            for (var i = 0; i < this.vertices.length; ++i) {
                var vCount = [];
                var vId = [];
                var v = this.vertices[i];
                var j;
                for (j = 0; j < v.triangleCount; ++j) {
                    var triangle = this.triangles[this.references[v.triangleStart + j].triangleId];
                    for (var ii = 0; ii < 3; ii++) {
                        var ofs = 0;
                        var id = triangle.vertices[ii];
                        while (ofs < vCount.length) {
                            if (vId[ofs] === id)
                                break;
                            ++ofs;
                        }
                        if (ofs === vCount.length) {
                            vCount.push(1);
                            vId.push(id);
                        } else {
                            vCount[ofs]++;
                        }
                    }
                }

                for (j = 0; j < vCount.length; ++j) {
                    if (vCount[j] === 1) {
                        this.vertices[vId[j]].isBorder = true;
                    } else {
                        this.vertices[vId[j]].isBorder = false;
                    }
                }
            }
        };

        QuadraticErrorSimplification.prototype.updateMesh = function (identifyBorders) {
            if (typeof identifyBorders === "undefined") { identifyBorders = false; }
            var i;
            if (!identifyBorders) {
                var newTrianglesVector = [];
                for (i = 0; i < this.triangles.length; ++i) {
                    if (!this.triangles[i].deleted) {
                        newTrianglesVector.push(this.triangles[i]);
                    }
                }
                this.triangles = newTrianglesVector;
            }

            for (i = 0; i < this.vertices.length; ++i) {
                this.vertices[i].triangleCount = 0;
                this.vertices[i].triangleStart = 0;
            }
            var t;
            var j;
            var v;
            for (i = 0; i < this.triangles.length; ++i) {
                t = this.triangles[i];
                for (j = 0; j < 3; ++j) {
                    v = this.vertices[t.vertices[j]];
                    v.triangleCount++;
                }
            }

            var tStart = 0;

            for (i = 0; i < this.vertices.length; ++i) {
                this.vertices[i].triangleStart = tStart;
                tStart += this.vertices[i].triangleCount;
                this.vertices[i].triangleCount = 0;
            }

            var newReferences = new Array(this.triangles.length * 3);
            for (i = 0; i < this.triangles.length; ++i) {
                t = this.triangles[i];
                for (j = 0; j < 3; ++j) {
                    v = this.vertices[t.vertices[j]];
                    newReferences[v.triangleStart + v.triangleCount] = new Reference(j, i);
                    v.triangleCount++;
                }
            }
            this.references = newReferences;

            if (identifyBorders) {
                this.identifyBorder();
            }
        };

        QuadraticErrorSimplification.prototype.vertexError = function (q, point) {
            var x = point.x;
            var y = point.y;
            var z = point.z;
            return q.data[0] * x * x + 2 * q.data[1] * x * y + 2 * q.data[2] * x * z + 2 * q.data[3] * x + q.data[4] * y * y + 2 * q.data[5] * y * z + 2 * q.data[6] * y + q.data[7] * z * z + 2 * q.data[8] * z + q.data[9];
        };

        QuadraticErrorSimplification.prototype.calculateError = function (vertex1, vertex2, pointResult, normalResult, uvResult, colorResult) {
            var q = vertex1.q.add(vertex2.q);
            var border = vertex1.isBorder && vertex2.isBorder;
            var error = 0;
            var qDet = q.det(0, 1, 2, 1, 4, 5, 2, 5, 7);

            if (qDet !== 0 && !border) {
                if (!pointResult) {
                    pointResult = BABYLON.Vector3.Zero();
                }
                pointResult.x = -1 / qDet * (q.det(1, 2, 3, 4, 5, 6, 5, 7, 8));
                pointResult.y = 1 / qDet * (q.det(0, 2, 3, 1, 5, 6, 2, 7, 8));
                pointResult.z = -1 / qDet * (q.det(0, 1, 3, 1, 4, 6, 2, 5, 8));
                error = this.vertexError(q, pointResult);

                //TODO this should be correctly calculated
                if (normalResult) {
                    normalResult.copyFrom(vertex1.normal);
                    if (vertex1.uv)
                        uvResult.copyFrom(vertex1.uv);
                    else if (vertex1.color)
                        colorResult.copyFrom(vertex1.color);
                }
            } else {
                var p3 = (vertex1.position.add(vertex2.position)).divide(new BABYLON.Vector3(2, 2, 2));

                //var norm3 = (vertex1.normal.add(vertex2.normal)).divide(new Vector3(2, 2, 2)).normalize();
                var error1 = this.vertexError(q, vertex1.position);
                var error2 = this.vertexError(q, vertex2.position);
                var error3 = this.vertexError(q, p3);
                error = Math.min(error1, error2, error3);
                if (error === error1) {
                    if (pointResult) {
                        pointResult.copyFrom(vertex1.position);
                        normalResult.copyFrom(vertex1.normal);
                        if (vertex1.uv)
                            uvResult.copyFrom(vertex1.uv);
                        else if (vertex1.color)
                            colorResult.copyFrom(vertex1.color);
                    }
                } else if (error === error2) {
                    if (pointResult) {
                        pointResult.copyFrom(vertex2.position);
                        normalResult.copyFrom(vertex2.normal);
                        if (vertex2.uv)
                            uvResult.copyFrom(vertex2.uv);
                        else if (vertex2.color)
                            colorResult.copyFrom(vertex2.color);
                    }
                } else {
                    if (pointResult) {
                        pointResult.copyFrom(p3);
                        normalResult.copyFrom(vertex1.normal);
                        if (vertex1.uv)
                            uvResult.copyFrom(vertex1.uv);
                        else if (vertex1.color)
                            colorResult.copyFrom(vertex1.color);
                    }
                }
            }
            return error;
        };
        return QuadraticErrorSimplification;
    })();
    BABYLON.QuadraticErrorSimplification = QuadraticErrorSimplification;
})(BABYLON || (BABYLON = {}));
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