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/** @file hikmeans.c
** @author Brian Fulkerson
** @author Andrea Vedaldi
** @brief Hierarchical Integer K-Means Clustering - Declaration
**/
/* AUTORIGHTS
Copyright (C) 2007-09 Andrea Vedaldi and Brian Fulkerson
This file is part of VLFeat, available in the terms of the GNU
General Public License version 2.
*/
/** @file hikmeans.h
** @brief Hierarchical integer K-Means clustering
**
** Hierarchical integer K-Means clustering (HIKM) is a simple
** hierarchical version of integer K-Means (@ref ikmeans.h
** "IKM"). The algorithm recursively applies integer K-means to create
** more refined partitions of the data.
**
** Create a tree with ::vl_hikm_new() and delete it with
** ::vl_hikm_delete(). Use ::vl_hikm_train() to build the tree
** from training data and ::vl_hikm_push() to project new data down
** a HIKM tree.
**
** @section hikm-tree HIKM tree
**
** The HIKM tree is represented by a ::VlHIKMTree structure, which
** contains a tree composed of ::VlHIKMNode. Each node is an
** integer K-means filter which partitions the data into @c K
** clusters.
**/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include "hikmeans.h"
/** ------------------------------------------------------------------
** @internal
** @brief Copy a subset of the data to a buffer
**
** @param data Data
** @param ids Data labels
** @param N Number of indices
** @param M Data dimensionality
** @param id Label of data to copy
** @param N2 Number of data copied (out)
**
** @return a new buffer with a copy of the selected data.
**/
vl_uint8*
vl_hikm_copy_subset (vl_uint8 const * data,
vl_uint * ids,
int N, int M,
vl_uint id, int *N2)
{
int i ;
int count = 0;
/* count how many data points with this label there are */
for (i = 0 ; i < N ; i++)
if (ids[i] == id)
count ++ ;
*N2 = count ;
/* copy each datum to the buffer */
{
vl_uint8 * new_data = vl_malloc (sizeof(vl_uint8) * M * count);
count = 0;
for (i = 0 ; i < N ; i ++)
if (ids[i] == id)
{
memcpy(new_data + count * M,
data + i * M,
sizeof(vl_uint8) * M);
count ++ ;
}
*N2 = count ;
return new_data ;
}
}
/** ------------------------------------------------------------------
** @brief Compute HIKM clustering.
**
** @param tree HIKM tree to initialize.
** @param data Data to cluster.
** @param N Number of data points.
** @param K Number of clusters for this node.
** @param height Tree height.
**
** @remark height cannot be smaller than 1.
**
** @return a new HIKM node representing a sub-clustering.
**/
static VlHIKMNode *
xmeans (VlHIKMTree *tree,
vl_uint8 const *data,
int N, int K, int height)
{
VlHIKMNode *node = vl_malloc (sizeof(VlHIKMNode)) ;
vl_uint *ids = vl_malloc (sizeof(vl_uint) * N) ;
node-> filter = vl_ikm_new (tree -> method) ;
node-> children = (height == 1) ? 0 : vl_malloc (sizeof(VlHIKMNode*) * K) ;
vl_ikm_set_max_niters (node->filter, tree->max_niters) ;
vl_ikm_set_verbosity (node->filter, tree->verb - 1 ) ;
vl_ikm_init_rand_data (node->filter, data, tree->M, N, K) ;
vl_ikm_train (node->filter, data, N) ;
vl_ikm_push (node->filter, ids, data, N) ;
/* recurse for each child */
if (height > 1) {
int k ;
for (k = 0 ; k < K ; k ++) {
int partition_N ;
int partition_K ;
vl_uint8 *partition ;
partition = vl_hikm_copy_subset
(data, ids, N, tree->M, k, &partition_N) ;
partition_K = VL_MIN (K, partition_N) ;
node->children [k] = xmeans
(tree, partition, partition_N, partition_K, height - 1) ;
vl_free (partition) ;
if (tree->verb > tree->depth - height) {
VL_PRINTF("hikmeans: branch at depth %d: %6.1f %% completed\n",
tree->depth - height,
(double) (k+1) / K * 100) ;
}
}
}
vl_free (ids) ;
return node ;
}
/** ------------------------------------------------------------------
** @internal
** @brief Delete node
**
** @param node to delete.
**
** The function deletes recursively @a node and all its descendent.
**/
static void
xdelete (VlHIKMNode *node)
{
if(node) {
int k ;
if (node->children) {
for(k = 0 ; k < vl_ikm_get_K (node->filter) ; ++k)
xdelete (node->children[k]) ;
vl_free (node->children) ;
}
if (node->filter)
vl_ikm_delete (node->filter) ;
vl_free(node);
}
}
/** ------------------------------------------------------------------
** @brief New HIKM tree
** @param method clustering method.
** @return new HIKM tree.
**/
VL_EXPORT
VlHIKMTree *
vl_hikm_new (int method)
{
VlHIKMTree *f = vl_malloc (sizeof(VlHIKMTree)) ;
f -> M = 0 ;
f -> K = 0 ;
f -> max_niters = 200 ;
f -> method = method ;
f -> verb = 0 ;
f -> depth = 0 ;
f -> root = 0 ;
return f ;
}
/** ------------------------------------------------------------------
** @brief Delete HIKM tree
** @param f HIKM tree.
**/
VL_EXPORT
void
vl_hikm_delete (VlHIKMTree *f)
{
if (f) {
xdelete (f -> root) ;
vl_free (f) ;
}
}
/** ------------------------------------------------------------------
** @brief Initialize HIKM tree
**
** @param f HIKM tree.
** @param M Data dimensionality.
** @param K Number of clusters per node.
** @param depth Tree depth.
**
** @remark @a depth cannot be smaller than 1.
**
** @return a new HIKM tree representing the clustering.
**/
VL_EXPORT
void
vl_hikm_init (VlHIKMTree *f, int M, int K, int depth)
{
assert(depth > 0) ;
assert(M > 0) ;
assert(K > 0) ;
xdelete (f -> root) ;
f -> root = 0;
f -> M = M ;
f -> K = K ;
f -> depth = depth ;
}
/** ------------------------------------------------------------------
** @brief Train HIKM tree
** @param f HIKM tree.
** @param data Data to cluster.
** @param N Number of data.
**/
VL_EXPORT
void
vl_hikm_train (VlHIKMTree *f, vl_uint8 const *data, int N)
{
f -> root = xmeans (f, data, N, VL_MIN(f->K, N), f->depth) ;
}
/** ------------------------------------------------------------------
** @brief Project data down HIKM tree
**
** @param f HIKM tree.
** @param asgn Path down the tree (out).
** @param data Data to project.
** @param N Number of data.
**
** The function writes to @a asgn the path of the data @a data
** down the HIKM tree @a f. The parameter @a asgn must point to
** an array of @c M by @c N elements, where @c M is the depth of
** the HIKM tree and @c N is the number of data point to process.
**/
VL_EXPORT
void
vl_hikm_push (VlHIKMTree *f, vl_uint *asgn, vl_uint8 const *data, int N)
{
int i, d,
M = vl_hikm_get_ndims (f),
depth = vl_hikm_get_depth (f) ;
/* for each datum */
for(i = 0 ; i < N ; i++) {
VlHIKMNode *node = f->root ;
d = 0 ;
while (node) {
/*
vl_uint best =
vl_ikm_push_one (vl_ikm_get_centers (node->filter),
data + i * M,
M,
vl_ikm_get_K (node->filter)) ;
*/
vl_uint best ;
vl_ikm_push (node->filter, &best, data + i * M, 1) ;
asgn [i*depth + d] = best ;
++ d ;
if (!node->children) break ;
node = node->children [best] ;
}
}
}