小编典典

绘制有向无环图:最小化边缘交叉?

algorithm

在没有图形绘制算法(例如高效Sugiyama)的情况下,以树形式在DAG中布置顶点(即,顶部没有边缘的顶点,仅依赖于下一级的顶点等)非常简单。但是,是否有一种简单的算法可以做到最小化边缘交叉?(对于某些图形,可能无法完全消除边缘交叉。)一张图片说一千个单词,所以有一种算法可以建议某些不交叉边缘的东西。(与此相比)。

编辑:结果

我已经接受了Senthil提出的graphviz / dot的建议-
快速浏览文档即可确认将它用作库或外部工具非常容易,并且输出格式也非常容易解析。但是,我最终选择使用GraphSharp,因为我已经在使用.NET等(尽管它绝对不如点强大)。结果是“足够好”,并且可以通过进行一些边缘布线和调整来变得更好(模糊文本是由于3.5
WPF造成的
)。

自动布局的图形

这是 完整的 C#代码(这是引用QuickGraph或GraphSharp的所有代码-是的,就这么简单):

internal static class LayoutManager
{
    private const string ALGORITHM_NAME = "EfficientSugiyama";
    private const bool MINIMIZE_EDGE_LENGTH = true;
    private const double VERTEX_DISTANCE = 25;
    private const double LAYER_DISTANCE = 25;
    private const double MIN_CANVAS_OFFSET = 20;

    public static void doLayout(GraphCanvas canvas)
    {
        // TODO use a background thread
        // TODO add comments
        canvas.IsEnabled = false;
        canvas.Cursor = Cursors.Wait;
        var graph = new BidirectionalGraph<GraphNode, LayoutEdge>();
        var positions = new Dictionary<GraphNode, Point>();
        var sizes = new Dictionary<GraphNode, Size>();
        foreach(var node in canvas.nodes)
        {
            var size = node.RenderSize;
            graph.AddVertex(node);
            positions.Add(node, new Point(node.left + size.Width / 2, node.top + size.Height / 2));
            sizes.Add(node, size);
        }
        foreach(var edge in canvas.edges)
        {
            graph.AddEdge(new LayoutEdge(edge));
        }

        var context = new LayoutContext<GraphNode, LayoutEdge, BidirectionalGraph<GraphNode, LayoutEdge>>(graph, positions, sizes, LayoutMode.Simple);
        var parameters = new EfficientSugiyamaLayoutParameters();
        parameters.VertexDistance = VERTEX_DISTANCE;
        parameters.MinimizeEdgeLength = MINIMIZE_EDGE_LENGTH;
        parameters.LayerDistance = LAYER_DISTANCE;
        var factory = new StandardLayoutAlgorithmFactory<GraphNode, LayoutEdge, BidirectionalGraph<GraphNode, LayoutEdge>>();
        var algorithm = factory.CreateAlgorithm(ALGORITHM_NAME, context, parameters);
        algorithm.Compute();
        canvas.deselectAll();

        var minx = algorithm.VertexPositions.Select(kvp => kvp.Value.X - (kvp.Key.RenderSize.Width / 2)).Aggregate(Math.Min);
        var miny = algorithm.VertexPositions.Select(kvp => kvp.Value.Y - (kvp.Key.RenderSize.Height / 2)).Aggregate(Math.Min);
        minx -= MIN_CANVAS_OFFSET;
        miny -= MIN_CANVAS_OFFSET;
        minx = minx < 0 ? -minx : 0;
        miny = miny < 0 ? -miny : 0;
        foreach(var kvp in algorithm.VertexPositions)
        {
            var node = kvp.Key;
            var pos = kvp.Value;
            node.left = (pos.X - (node.RenderSize.Width / 2)) + minx;
            node.top = (pos.Y - (node.RenderSize.Height / 2)) + miny;
        }
        canvas.Cursor = Cursors.Arrow;
        canvas.IsEnabled = true;
    }

    private sealed class LayoutEdge : IEdge<GraphNode>
    {
        private readonly ConnectingEdge _edge;
        public LayoutEdge(ConnectingEdge edge) { _edge = edge; }
        public GraphNode Source { get { return _edge.output.node; } }
        public GraphNode Target { get { return _edge.input.node; } }
    }

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2020-07-28

共1个答案

小编典典

Dot似乎很合适:

点-有向图的``分层’‘或分层图。布局算法将边缘对准同一方向(从上到下或从左到右),然后尝试避免边缘交叉并减小边缘长度。

https://docs.google.com/viewer?url=http://www.graphviz.org/pdf/dotguide.pdf

2020-07-28