算法原理
可以看這篇文章:
https://zhuanlan.zhihu.com/p/58326095
簡單介紹
這篇文章提出了一種新的方法用于濾波保留邊緣和角點,原理在上面的文章可以找到,同時也能找到論文原文和一份github的代碼,這種方法可以配合現有的任何濾波方法使用,讓這些濾波方法都強制保留邊緣。隻需要将對應的濾波的核的系數換成對應的濾波方法的核即可。這裡我實作了均值濾波的Side Window Filtering,代碼奉獻一下。
實作的細節
作者的matlab代碼:https://github.com/YuanhaoGong/SideWindowFilter
代碼
//針對灰階圖的均值濾波+CVPR 2019的SideWindowFilter
//其他種類的濾波直接換核即可
int cnt[8] = { 0, 0, 0, 0, 0, 0, 0, 0 };
vector <int> filter[8];
void InitFilter(int radius) {
int n = radius * 2 + 1;
for (int i = 0; i < 8; i++) {
cnt[i] = 0;
filter[i].clear();
}
for (int i = 0; i < 8; i++) {
for (int x = 0; x < n; x++) {
for (int y = 0; y < n; y++) {
if (i == 0 && x <= radius && y <= radius) {
filter[i].push_back(1);
}
else if (i == 1 && x <= radius && y >= radius) {
filter[i].push_back(1);
}
else if (i == 2 && x >= radius && y <= radius) {
filter[i].push_back(1);
}
else if (i == 3 && x >= radius && y >= radius) {
filter[i].push_back(1);
}
else if (i == 4 && x <= radius) {
filter[i].push_back(1);
}
else if (i == 5 && x >= radius) {
filter[i].push_back(1);
}
else if (i == 6 && y >= radius) {
filter[i].push_back(1);
}
else if (i == 7 && y <= radius) {
filter[i].push_back(1);
}
else {
filter[i].push_back(0);
}
}
}
}
for (int i = 0; i < 8; i++) {
int sum = 0;
for (int j = 0; j < filter[i].size(); j++) sum += filter[i][j] == 1;
cnt[i] = sum;
}
}
Mat SideWindowFilter(Mat src, int radius = 1) {
int row = src.rows;
int col = src.cols;
int channels = src.channels();
InitFilter(radius);
for (int i = 0; i < 8; i++) {
printf("%d ", cnt[i]);
}
printf("\n");
if (channels == 1) {
Mat dst(row, col, CV_8UC1);
for (int i = 0; i < row; i++) {
for (int j = 0; j < col; j++) {
if (i < radius || i + radius >= row || j < radius || j + radius >= col) {
dst.at<uchar>(i, j) = src.at<uchar>(i, j);
continue;
}
int minn = 256;
int pos = 0;
for (int k = 0; k < 8; k++) {
int val = 0;
int id = 0;
for (int x = -radius; x <= radius; x++) {
for (int y = -radius; y <= radius; y++) {
//if (x == 0 && y == 0) continue;
val += src.at<uchar>(i + x, j + y) * filter[k][id++];
}
}
val /= cnt[k];
if (abs(val - src.at<uchar>(i, j)) < minn) {
minn = abs(val - src.at<uchar>(i, j));
pos = k;
}
}
int val = 0;
int id = 0;
for (int x = -radius; x <= radius; x++) {
for (int y = -radius; y <= radius; y++) {
//if (x == 0 && y == 0) continue;
val += src.at<uchar>(i + x, j + y) * filter[pos][id++];
}
}
dst.at<uchar>(i, j) = val / cnt[pos];
}
}
return dst;
}
Mat dst(row, col, CV_8UC3);
for (int c = 0; c < 3; c++) {
for (int i = 0; i < row; i++) {
for (int j = 0; j < col; j++) {
if (i < radius || i + radius >= row || j < radius || j + radius >= col) {
dst.at<Vec3b>(i, j)[c] = src.at<Vec3b>(i, j)[c];
continue;
}
int minn = 256;
int pos = 0;
for (int k = 0; k < 8; k++) {
int val = 0;
int id = 0;
for (int x = -radius; x <= radius; x++) {
for (int y = -radius; y <= radius; y++) {
//if (x == 0 && y == 0) continue;
val += src.at<Vec3b>(i + x, j + y)[c] * filter[k][id++];
}
}
val /= cnt[k];
if (abs(val - src.at<Vec3b>(i, j)[c]) < minn) {
minn = abs(val - src.at<Vec3b>(i, j)[c]);
pos = k;
}
}
int val = 0;
int id = 0;
for (int x = -radius; x <= radius; x++) {
for (int y = -radius; y <= radius; y++) {
//if (x == 0 && y == 0) continue;
val += src.at<Vec3b>(i + x, j + y)[c] * filter[pos][id++];
}
}
dst.at<Vec3b>(i, j)[c] = val / cnt[pos];
}
}
}
return dst;
}
效果
原圖
均值濾波20次後的結果
使用論文算法對均值濾波做強制保邊結果