圖1 不同中心震盪頻率下在Gabor函式

程式碼：根據http://blog.csdn.net/watkinsong/article/details/7876361實現

#include <opencv2/core/core.hpp>
#include <opencv2/imgproc/imgproc.hpp>
#include <opencv2/highgui/highgui.hpp>
#include <cmath>
#include <iostream>

using namespace cv;
using namespace std;

const double PI = 3.14159265;

// ref: http://blog.csdn.net/watkinsong/article/details/7876361
Mat getMyGabor(int width, int height, int U, int V, double Kmax, double f,
	double sigma, int ktype, const string& kernel_name)
{
	//CV_ASSERT(width % 2 == 0 && height % 2 == 0);
	//CV_ASSERT(ktype == CV_32F || ktype == CV_64F);

	int half_width = width / 2;
	int half_height = height / 2;
	double Qu = PI*U/8;
	double sqsigma = sigma*sigma;
	double Kv = Kmax/pow(f,V);
	double postmean = exp(-sqsigma/2);

	Mat kernel_re(width, height, ktype);
	Mat kernel_im(width, height, ktype);
	Mat kernel_mag(width, height, ktype);

	double tmp1, tmp2, tmp3;
	for(int j = -half_height; j <= half_height; j++){
		for(int i = -half_width; i <= half_width; i++){
			tmp1 = exp(-(Kv*Kv*(j*j+i*i))/(2*sqsigma));
			tmp2 = cos(Kv*cos(Qu)*i + Kv*sin(Qu)*j) - postmean;
			tmp3 = sin(Kv*cos(Qu)*i + Kv*sin(Qu)*j);

			if(ktype == CV_32F)
				kernel_re.at<float>(j+half_height, i+half_width) = 
					(float)(Kv*Kv*tmp1*tmp2/sqsigma);
			else
				kernel_re.at<double>(j+half_height, i+half_width) = 
					(double)(Kv*Kv*tmp1*tmp2/sqsigma);

			if(ktype == CV_32F)
				kernel_im.at<float>(j+half_height, i+half_width) = 
					(float)(Kv*Kv*tmp1*tmp3/sqsigma);
			else
				kernel_im.at<double>(j+half_height, i+half_width) = 
					(double)(Kv*Kv*tmp1*tmp3/sqsigma);
		}
	}

	magnitude(kernel_re, kernel_im, kernel_mag);

	if(kernel_name.compare("real") == 0)
		return kernel_re;
	else if(kernel_name.compare("imag") == 0)
		return kernel_im;
	else if(kernel_name.compare("mag") == 0)
		return kernel_mag;
	else
		printf("Invalid kernel name!\n");
}

void construct_gabor_bank()
{
	double Kmax = PI/2;
	double f = sqrt(2.0);
	double sigma = 2*PI;
	int U = 7;
	int V = 4;
	int GaborH = 129;
	int GaborW = 129;

	Mat kernel;
	Mat totalMat;
	for(U = 0; U < 8; U++){
		Mat colMat;
		for(V = 0; V < 5; V++){
			kernel = getMyGabor(GaborW, GaborH, U, V,
				Kmax, f, sigma, CV_64F, "real");

			//show gabor kernel
			normalize(kernel, kernel, 0, 1, CV_MINMAX);
			printf("U%dV%d\n", U, V);
			//imshow("gabor", kernel);
			//waitKey(0);

			if(V == 0)
				colMat = kernel;
			else
				vconcat(colMat, kernel, colMat);
		}
		if(U == 0)
			totalMat = colMat;
		else
			hconcat(totalMat, colMat, totalMat);
	}

	imshow("gabor bank", totalMat);
	//imwrite("gabor_bank.jpg",totalMat);
	waitKey(0);
}

Mat gabor_filter(Mat& img)
{
	// variables for gabor filter
	double Kmax = PI/2;
	double f = sqrt(2.0);
	double sigma = 2*PI;
	int U = 7;
	int V = 4;
	int GaborH = 129;
	int GaborW = 129;

	// 
	Mat kernel_re, kernel_im;
	Mat dst_re, dst_im, dst_mag;

	// variables for filter2D
	Point archor(-1,-1);
	int ddepth = -1;
	double delta = 0;

	// filter image with gabor bank
	Mat totalMat;
	for(U = 0; U < 8; U++){
		Mat colMat;
		for(V = 0; V < 5; V++){
			kernel_re = getMyGabor(GaborW, GaborH, U, V,
				Kmax, f, sigma, CV_64F, "real");
			kernel_im = getMyGabor(GaborW, GaborH, U, V,
				Kmax, f, sigma, CV_64F, "imag");

			filter2D(img, dst_re, ddepth, kernel_re);
			filter2D(img, dst_im, ddepth, kernel_im);

			dst_mag.create(img.rows, img.cols, CV_32FC1);
			magnitude(Mat_<float>(dst_re),Mat_<float>(dst_im), 
				dst_mag);

			//show gabor kernel
			normalize(dst_mag, dst_mag, 0, 1, CV_MINMAX);
			printf("U%dV%d\n", U, V);
			//imshow("dst_mag", dst_mag);
			//waitKey(0);

			if(V == 0)
				colMat = dst_mag;
			else
				vconcat(colMat, dst_mag, colMat);
		}
		if(U == 0)
			totalMat = colMat;
		else
			hconcat(totalMat, colMat, totalMat);
	}

	return totalMat;
}

int main( int argc, char** argv )
{
    //construct_gabor_bank();

	Mat image;
    image = imread(argv[1], 0); // Read the file

    if(! image.data ) // Check for invalid input
    {
        cout << "Could not open or find the image" << std::endl ;
        return -1;
    }

	Mat filterd_image = gabor_filter(image);
	imshow("filtered image", filterd_image);
	//imwrite("filterd_image.jpg",filterd_image);
	waitKey(0);

    return 0;
}
 

其中，construct_gabor_bank函式構建了5個尺度8個方向上的Gabor小波，如下圖所示：

gabor_filter函式利用構建好的Gabor小波對影象進行濾波，原圖和濾波後在影象如下圖所示：

文件及程式碼地址：http://download.csdn.net/detail/lichengyu/7008011

注：這一版本的程式碼有問題，filter2D函式的ddepth引數值應改為CV_64而非採用預設值，見