(1)参考光谱:以图像中已知类型的区域为参考光谱,将区域中光谱的几何平均向量作为类中心。 (2)计算未知像元与各类中心的夹角(相关系数)。 (3)通过多次实验分别对不同的类别设置不同的阙值。若设置的阈值大于(小于)计算得出的光谱角度(相关系数),则不对该像元进行分类。 (4)将给未知像元分类到夹角最小(系数最大)的类别中去。用以上分类步骤实现的光谱角匹配的C语言或者C++代码实例有吗
时间: 2024-01-01 11:03:19 浏览: 31
以下是一个简单的用C++实现的光谱角匹配代码示例:
```cpp
#include <iostream>
#include <cmath>
using namespace std;
// 计算向量的几何平均值
void geometricMean(double *vector, int size, double *result) {
double product = 1.0;
for (int i = 0; i < size; i++) {
product *= vector[i];
}
double power = 1.0 / size;
*result = pow(product, power);
}
// 计算向量的欧几里得范数
double euclideanNorm(double *vector, int size) {
double sum = 0.0;
for (int i = 0; i < size; i++) {
sum += vector[i] * vector[i];
}
return sqrt(sum);
}
// 计算两个向量的夹角余弦值
double cosineSimilarity(double *vector1, double *vector2, int size) {
double dotProduct = 0.0;
for (int i = 0; i < size; i++) {
dotProduct += vector1[i] * vector2[i];
}
double norm1 = euclideanNorm(vector1, size);
double norm2 = euclideanNorm(vector2, size);
return dotProduct / (norm1 * norm2);
}
// 计算两个向量的相关系数
double correlationCoefficient(double *vector1, double *vector2, int size) {
double mean1 = 0.0;
double mean2 = 0.0;
for (int i = 0; i < size; i++) {
mean1 += vector1[i];
mean2 += vector2[i];
}
mean1 /= size;
mean2 /= size;
double numerator = 0.0;
double denominator1 = 0.0;
double denominator2 = 0.0;
for (int i = 0; i < size; i++) {
numerator += (vector1[i] - mean1) * (vector2[i] - mean2);
denominator1 += pow(vector1[i] - mean1, 2.0);
denominator2 += pow(vector2[i] - mean2, 2.0);
}
double denominator = sqrt(denominator1 * denominator2);
return numerator / denominator;
}
int main() {
const int size = 10; // 向量长度
double reference[size] = {1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0}; // 参考向量
double test1[size] = {1.1, 2.2, 2.9, 3.7, 4.8, 5.9, 6.8, 7.9, 8.7, 9.6}; // 测试向量1
double test2[size] = {0.9, 2.1, 3.1, 4.2, 5.1, 6.2, 7.2, 8.1, 9.5, 10.2}; // 测试向量2
double mean1, mean2; // 参考向量和测试向量的几何平均值
geometricMean(reference, size, &mean1);
geometricMean(test1, size, &mean2);
// 计算测试向量1与参考向量的夹角余弦值和相关系数
double cosine1 = cosineSimilarity(reference, test1, size);
double correlation1 = correlationCoefficient(reference, test1, size);
cout << "cosine similarity between reference and test1: " << cosine1 << endl;
cout << "correlation coefficient between reference and test1: " << correlation1 << endl;
// 计算测试向量2与参考向量的夹角余弦值和相关系数
double cosine2 = cosineSimilarity(reference, test2, size);
double correlation2 = correlationCoefficient(reference, test2, size);
cout << "cosine similarity between reference and test2: " << cosine2 << endl;
cout << "correlation coefficient between reference and test2: " << correlation2 << endl;
// 比较夹角余弦值和相关系数,根据不同的阈值进行分类
double threshold1 = 0.95;
double threshold2 = 0.9;
if (cosine1 > threshold1 && correlation1 > threshold2) {
cout << "test1 belongs to the same class as reference" << endl;
} else {
cout << "test1 belongs to a different class from reference" << endl;
}
if (cosine2 > threshold1 && correlation2 > threshold2) {
cout << "test2 belongs to the same class as reference" << endl;
} else {
cout << "test2 belongs to a different class from reference" << endl;
}
return 0;
}
```
该代码中使用了几个函数来计算向量的几何平均值、欧几里得范数、夹角余弦值和相关系数。首先,计算参考向量和测试向量的几何平均值,然后分别计算测试向量1和测试向量2与参考向量的夹角余弦值和相关系数。最后,根据不同的阈值进行分类,输出测试向量1和测试向量2属于哪个类别。