需要自己处理出原始直方图,并给定一个理想直方图。
#include
#include
using namespace std;
const int N = 8;
double origin[N] = {
0.174, 0.088, 0.086, 0.08, 0.068, 0.058, 0.062, 0.384};
double given[N] = {
0, 0.4, 0, 0, 0.2, 0, 0, 0.4};
double origin_sum[N], given_sum[N];
double gml_histogram[N], sml_histogram[N];
int sml_map[N], gml_map[N];
void SML()
{
int last_pos = 0;
for( int i = 0; i < N; ++ i )
{
double minV = 1E9; int pos = -1;
for( int j = last_pos; j < N; ++ j )
{
if( !given[j] ) continue;
if( minV > abs( origin_sum[i] - given_sum[j] ) )
{
minV = abs( origin_sum[i] - given_sum[j] );
pos = j;
}
}
sml_map[i] = pos; last_pos = pos;
}
for( int i = 0; i < N; ++ i ) sml_histogram[sml_map[i]] += origin[i];
}
void GML()
{
int last = -1;
for( int i = 0; i < N; ++ i )
{
if( !given[i] ) continue;
int pos = -1; double minV = 1E9;
for( int j = last; j < N; ++ j )
{
if( !origin[j] ) continue;
if( minV > abs(given_sum[i] - origin_sum[j]) )
{
minV = abs(given_sum[i] - origin_sum[j]);
pos = j;
}
}
for( int j = last; j <= pos; ++ j ) gml_map[j] = i;
last = pos + 1;
}
for( int i = 0; i < N; ++ i ) gml_histogram[gml_map[i]] += origin[i];
}
void Print()
{
double ans = 0;
cout << "origin histogram:" << endl;
for( auto i : origin ) printf("%.3f ", i );
cout << "\n\nSML mapping:" << endl;
for( int i = 0; i < N; ++ i )
cout << sml_map[i] << " ";
cout << "\nthe histogram after SML: " << endl;
for( int i = 0; i < N; ++ i )
{
ans += abs(sml_histogram[i] - given[i]);
printf("%.3f ", sml_histogram[i]);
}
cout << "\nSML error:" << ans << endl;
ans = 0;
cout << "\n\nGML mapping:" << endl;
for( int i = 0; i < N; ++ i )
cout << gml_map[i] << " ";
cout << "\nthe histogram after GML: " << endl;
for( int i = 0; i < N; ++ i )
{
ans += abs(gml_histogram[i] - given[i]);
printf("%.3f ", gml_histogram[i]);
}
cout << "\nGML error:" << ans << endl;
}
int main()
{
for( int i = 0; i < N; ++ i )
{
if( !i ) {
origin_sum[i] = origin[i]; given_sum[i] = given[i]; continue; }
origin_sum[i] = origin_sum[i-1] + origin[i];
given_sum[i] = given_sum[i - 1] + given[i];
}
GML(); SML();
Print();
}