--- /dev/null
+// BEWARE: BETA VERSION\r
+// --------------------\r
+//\r
+// A k-d tree that vastly speeds up an iteration of k-means (in any number of dimensions). The main\r
+// idea for this data structure is from Kanungo/Mount. This is used internally by Kmeans.cpp, and\r
+// will most likely not need to be used directly.\r
+//\r
+// The stucture works as follows:\r
+// - All data points are placed into a tree where we choose child nodes by partitioning all data\r
+// points along a plane parallel to the axis.\r
+// - We maintain for each node, the bounding box of all data points stored at that node.\r
+// - To do a k-means iteration, we need to assign points to clusters and calculate the sum and\r
+// the number of points assigned to each cluster. For each node in the tree, we can rule out\r
+// some cluster centers as being too far away from every single point in that bounding box.\r
+// Once only one cluster is left, all points in the node can be assigned to that cluster in\r
+// batch.\r
+//\r
+// Author: David Arthur (darthur@gmail.com), 2009\r
+\r
+#ifndef KM_TREE_H__\r
+#define KM_TREE_H__\r
+\r
+// Includes\r
+#include "KmUtils.h"\r
+\r
+// KmTree class definition\r
+class KmTree {\r
+ public:\r
+ // Constructs a tree out of the given n data points living in R^d.\r
+ KmTree(int n, int d, Scalar *points);\r
+ ~KmTree();\r
+\r
+ // Given k cluster centers, this runs a full k-means iterations, choosing the next set of\r
+ // centers and returning the cost function for this set of centers. If assignment is not null,\r
+ // it should be an array of size n that will be filled with the index of the cluster (0 - k-1)\r
+ // that each data point is assigned to. The new center values will overwrite the old ones.\r
+ Scalar DoKMeansStep(int k, Scalar *centers, int *assignment) const;\r
+\r
+ // Choose k initial centers for k-means using the kmeans++ seeding procedure. The resulting\r
+ // centers are returned via the centers variable, which should be pre-allocated to size k*d.\r
+ // The cost of the initial clustering is returned.\r
+ Scalar SeedKMeansPlusPlus(int k, Scalar *centers) const;\r
+\r
+ private:\r
+ struct Node {\r
+ int num_points; // Number of points stored in this node\r
+ int first_point_index; // The smallest point index stored in this node\r
+ Scalar *median, *radius; // Bounding box center and half side-lengths\r
+ Scalar *sum; // Sum of the points stored in this node\r
+ Scalar opt_cost; // Min cost for putting all points in this node in 1 cluster\r
+ Node *lower_node, *upper_node; // Child nodes\r
+ mutable int kmpp_cluster_index; // The cluster these points are assigned to or -1 if variable\r
+ };\r
+\r
+ // Helper functions for constructor\r
+ Node *BuildNodes(Scalar *points, int first_index, int last_index, char **next_node_data);\r
+ Scalar GetNodeCost(const Node *node, Scalar *center) const;\r
+\r
+ // Helper functions for DoKMeans step\r
+ Scalar DoKMeansStepAtNode(const Node *node, int k, int *candidates, Scalar *centers,\r
+ Scalar *sums, int *counts, int *assignment) const;\r
+ bool ShouldBePruned(Scalar *box_median, Scalar *box_radius, Scalar *centers, int best_index,\r
+ int test_index) const;\r
+\r
+ // Helper functions for SeedKMeansPlusPlus\r
+ void SeedKmppSetClusterIndex(const Node *node, int index) const;\r
+ Scalar SeedKmppUpdateAssignment(const Node *node, int new_cluster, Scalar *centers,\r
+ Scalar *dist_sq) const;\r
+\r
+ int n_, d_;\r
+ Scalar *points_;\r
+ Node *top_node_;\r
+ char *node_data_;\r
+ int *point_indices_;\r
+};\r
+\r
+#endif\r