c#实心KD树并查找最近的点
时间: 2023-07-27 13:18:38 浏览: 226
下面是一个基于实心KD树的C#实现,可用于查找最近的点:
```csharp
public class KDNode
{
public int[] Point { get; set; }
public KDNode Left { get; set; }
public KDNode Right { get; set; }
}
public class KDTree
{
private KDNode root;
public void Build(int[][] points)
{
root = BuildKDTree(points, 0, points.Length - 1, 0);
}
private KDNode BuildKDTree(int[][] points, int left, int right, int depth)
{
if (left > right)
{
return null;
}
int mid = left + (right - left) / 2;
int k = depth % points[0].Length;
Array.Sort(points, left, right - left + 1, new PointComparer(k));
KDNode node = new KDNode() { Point = points[mid] };
node.Left = BuildKDTree(points, left, mid - 1, depth + 1);
node.Right = BuildKDTree(points, mid + 1, right, depth + 1);
return node;
}
private class PointComparer : IComparer<int[]>
{
private readonly int k;
public PointComparer(int k)
{
this.k = k;
}
public int Compare(int[] p1, int[] p2)
{
return p1[k].CompareTo(p2[k]);
}
}
public int[] FindNearestNeighbor(int[] target)
{
KDNode nearest = FindNearestNeighbor(root, target, double.MaxValue);
return nearest.Point;
}
private KDNode FindNearestNeighbor(KDNode node, int[] target, double bestDist)
{
if (node == null)
{
return null;
}
double dist = GetDistance(node.Point, target);
if (dist < bestDist)
{
bestDist = dist;
}
int split = node.Point[0].Length;
int k = split % split;
KDNode nearest = null;
KDNode nextBranch = null;
if (target[k] < node.Point[k])
{
nearest = FindNearestNeighbor(node.Left, target, bestDist);
nextBranch = node.Right;
}
else
{
nearest = FindNearestNeighbor(node.Right, target, bestDist);
nextBranch = node.Left;
}
if (nearest == null || GetDistance(nearest.Point, target) > bestDist)
{
KDNode otherNearest = FindNearestNeighbor(nextBranch, target, bestDist);
if (otherNearest != null && GetDistance(otherNearest.Point, target) < bestDist)
{
nearest = otherNearest;
}
}
return nearest;
}
private double GetDistance(int[] p1, int[] p2)
{
double sum = 0;
for (int i = 0; i < p1.Length; i++)
{
sum += (p1[i] - p2[i]) * (p1[i] - p2[i]);
}
return Math.Sqrt(sum);
}
}
```
这个实现中,FindNearestNeighbor方法用于查找最近的点。它使用递归来遍历KD树,找到离目标点最近的点。GetDistance方法用于计算两个点之间的距离。
需要注意的是,这个实现中只考虑了欧几里得距离,如果需要使用其他距离度量,可以在GetDistance方法中进行相应的修改。
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