FH98ViewOnPlaneSoftware/Src/QB_ImgProcessFun/waveReconstruct.cpp

#include "stdafx.h"
#include "waveReconstruct.h"

// 功能：函数 idwt() 对输入的小波分解系数进行逆离散小波变换，重构出信号序列dst
bool idwt(cv::Mat &dst, const cv::Mat &cA, const cv::Mat &cD, const cv::Mat &LF, const cv::Mat &HF)
{
	// 输入向量有效性判断：只处理行向量
	if (cA.empty() == true || (cA.type() != CV_64FC1))
	{
		return false;
	}

	if (cD.empty() == true || (cD.type() != CV_64FC1))
	{
		return false;
	}

	if (cA.size != cD.size || cA.type() != cD.type() || cA.rows != 1)
	{
		return false;
	}

	// 滤波器有效性判断
	if (LF.empty() == true || LF.type() != CV_64FC1
		|| HF.empty() == true || HF.type() != CV_64FC1
		|| LF.size != HF.size || LF.rows != 1)
	{
		return false;
	}

	// (1)低频

	// (1.1) 上采样 + 赋值
	cv::Mat upl = cv::Mat(1, 2 * cA.cols + 1, cA.type());
	upl = cv::Scalar(0.0, 0.0, 0.0);

	for (int i = 0; i < cA.cols; i++)
	{
		upl.at<double>(0, 2 * i + 1) = cA.at<double>(0, i);
	}


	// (1.2) 卷积
	cv::Mat cvl = cv::Mat(1, upl.cols + LF.cols - 1, cA.type());
	cvl = cv::Scalar(0.0, 0.0, 0.0);

	// 理论：数字信号卷积公式
	for (int i = 0; i < cvl.cols; i++)
	{
		for (int j = 0; j < LF.cols; j++)
		{
			if ((i - j) >= 0 && (i - j) < upl.cols)
			{
				cvl.at<double>(0, i) += LF.at<double>(0,j) * upl.at<double>(0, i - j);
			}
		}
	}


	// (2) 高频
	// (2.1) 上采样+赋值
	cv::Mat uph = cv::Mat(1, 2 * cD.cols + 1, cA.type());
	uph = cv::Scalar(0.0, 0.0, 0.0);

	for (int i = 0; i < cD.cols; i++)
	{
		uph.at<double>(0, 2 * i + 1) = cD.at<double>(0, i);
	}


	// (2.2) 卷积
	cv::Mat cvh = cv::Mat(1, uph.cols + HF.cols - 1, cD.type());
	cvh = cv::Scalar(0.0, 0.0, 0.0);

	for (int i = 0; i < cvh.cols; i++)
	{
		for (int j = 0; j < HF.cols; j++)
		{
			if ((i - j) >= 0 && (i - j) < uph.cols)
			{
				cvh.at<double>(0, i) += HF.at<double>(0,j) * uph.at<double>(0, i - j);
			}
		}
	}

	// 获得结果
	dst = cvl + cvh;

	return true;
}




// 功能：函数 idwt2() 对输入的子矩阵序列进行逆小波变换， 得到重构矩阵outcA
bool idwt2(cv::Mat &outcA, 
	       const cv::Mat &rcA, const cv::Mat &rcV, const cv::Mat &rcH, const cv::Mat &rcD, 
	       const cv::Mat &Lo_R, const cv::Mat &Hi_R, 
	       cv::Vec2i size)
{
	// 子系数矩阵空值、类型判断
	if (rcA.empty() == true 
		|| (rcA.type() != CV_64FC1))
	{
		return false;
	}

	if (rcV.empty() == true 
		|| (rcV.type() != CV_64FC1))
	{
		return false;
	}

	if (rcH.empty() == true 
		|| (rcH.type() != CV_64FC1))
	{
		return false;
	}

	if (rcD.empty() == true 
		|| (rcD.type() != CV_64FC1))
	{
		return false;
	}

	// 子系数矩阵类型一致性判断
	if (rcA.type() != rcV.type() || rcA.type() != rcH.type() || rcA.type() != rcD.type()
		|| rcV.type() != rcH.type() || rcV.type() != rcD.type() 
		|| rcH.type() != rcD.type())
	{
		return false;
	}

	// 子系数矩阵尺寸一致性判断
	if (rcA.size() != rcV.size() || rcA.size() != rcH.size() || rcA.size() != rcD.size()
		|| rcV.size() != rcH.size() || rcV.size() != rcD.size() 
		|| rcH.size() != rcD.size())
	{
		return false;
	}

	// 滤波器：空值、类型、尺寸判断
	if (Lo_R.empty() == true || Lo_R.type() != CV_64FC1)
	{
		return false;
	}

	if (Hi_R.empty() == true || Hi_R.type() != CV_64FC1)
	{
		return false;
	}

	if (Lo_R.size() != Hi_R.size())
	{
		return false;
	}

	// 本级小波分解系数矩阵的大小
	if (size[0] <= 0 || size[1] <= 0)
	{
		return false;
	}

	// 步骤1：先将四个子序列合成一个矩阵
	cv::Mat tmp_mat = cv::Mat(2 * rcA.rows, 2 * rcA.cols, rcA.type());
	tmp_mat = cv::Scalar(0.0, 0.0, 0.0);
	rcA.copyTo(tmp_mat(cv::Range(0, rcA.rows), cv::Range(0, rcA.cols)));
	rcV.copyTo(tmp_mat(cv::Range(0, rcA.rows), cv::Range(rcA.cols, 2 * rcA.cols)));
	rcH.copyTo(tmp_mat(cv::Range(rcA.rows, 2 * rcA.rows), cv::Range(0, rcA.cols)));
	rcD.copyTo(tmp_mat(cv::Range(rcA.rows, 2 * rcA.rows), cv::Range(rcA.cols, 2 * rcA.cols)));



	// 步骤2：逐列逆变换结果, 变换结果行数裁剪为：size[0]
	cv::Mat tmp_mat_cR = cv::Mat(size[0], 2 * rcA.cols, rcA.type());

	// 逐列逆变换
	for (int i = 0; i < tmp_mat.cols; i++)
	{
		cv::Mat ca1 = tmp_mat(cv::Range(0, rcA.rows), cv::Range(i, i + 1));         // 第i列上半部分
		cv::Mat cd1 = tmp_mat(cv::Range(rcA.rows, rcA.rows * 2), cv::Range(i, i + 1)); // 第i列下半部分

		// 转为行向量
		cv::transpose(ca1, ca1);
		cv::transpose(cd1, cd1);

		// 一维小波逆变换
		cv::Mat tmp1;
		bool ret = idwt(tmp1,                 // 输出
			ca1, cd1, Lo_R, Hi_R);// 输入

		if (ret == false)
		{
			return false;
		} 
		else
		{
			cv::transpose(tmp1, tmp1); // 转置为列向量

			// 取中间部分
			int begin = (tmp1.rows - size[0]) / 2;
			int end = begin + size[0];

			// 判断begin end 越界情况
			if (begin >= 0 && end <= tmp1.rows)
			{
				tmp1 = tmp1(cv::Range(begin, end), cv::Range(0, 1));
				tmp1.copyTo(tmp_mat_cR(cv::Range(0, size[0]), cv::Range(i, i + 1)));
			}
			else
			{
				return false;
			}			
		}
	}

	// 步骤3：逐行逆变换结果，变换结果列数裁剪为：size[1]
	cv::Mat tmp_mat_cR_rR = cv::Mat(size[0], size[1], rcA.type());

	for (int i = 0; i < size[0]; i++)
	{
		cv::Mat ca2 = tmp_mat_cR(cv::Range(i, i + 1), cv::Range(0, rcA.cols));
		cv::Mat cd2 = tmp_mat_cR(cv::Range(i, i + 1), cv::Range(rcA.cols, rcA.cols * 2));

		// 一维小波逆变换
		cv::Mat tmp2;
		bool ret = idwt(tmp2,                  // 输出
			ca2, cd2, Lo_R, Hi_R); // 输入

		if (ret == false)
		{
			return false;
		}
		else
		{
			int begin = (tmp2.cols - size[1]) / 2;
			int end = begin + size[1];

			if (begin >= 0 && end <= tmp2.cols)
			{
				// 取中间部分
				tmp2 = tmp2(cv::Range(0, 1), cv::Range(begin, end));
				tmp2.copyTo(tmp_mat_cR_rR(cv::Range(i, i + 1), cv::Range(0, size[1])));
			}
			else
			{
				return false;
			}

		}
	}

	// 得到结果
	tmp_mat_cR_rR.copyTo(outcA);

	return true;
}



// 功能：函数 getWaveRecFilter() 基于小波名称wname计算小波重构滤波器
bool getWaveRecFilter(cv::Mat &Lo_R, cv::Mat &Hi_R, const string wname)
{
	if (wname == "")
	{
		return false;
	}

	// haar小波
	if (wname == "haar")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 2, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.7071;
		Lo_R.at<double>(0, 1) = 0.7071;

		// 创建Hi_D
		Hi_R = cv::Mat(1, 2, CV_64FC1);
		Hi_R.at<double>(0, 0) = 0.7071;
		Hi_R.at<double>(0, 1) = -0.7071;
	}
	else if (wname == "sym1")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 2, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.7071;
		Lo_R.at<double>(0, 1) = 0.7071;

		// 创建Hi_D
		Hi_R = cv::Mat(1, 2, CV_64FC1);
		Hi_R.at<double>(0, 0) = 0.7071;
		Hi_R.at<double>(0, 1) = -0.7071;
	}
	else if (wname == "sym2")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 4, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.4830 ;
		Lo_R.at<double>(0, 1) = 0.8365 ;
		Lo_R.at<double>(0, 2) = 0.2241 ;
		Lo_R.at<double>(0, 3) = -0.1294;

		// 创建Hi_D
		Hi_R = cv::Mat(1, 4, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.1294;
		Hi_R.at<double>(0, 1) = -0.2241;
		Hi_R.at<double>(0, 2) = 0.8365 ;
		Hi_R.at<double>(0, 3) = -0.4830;
	}
	else if (wname == "sym3")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 6, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.3327 ;
		Lo_R.at<double>(0, 1) = 0.8069 ;
		Lo_R.at<double>(0, 2) = 0.4599 ;
		Lo_R.at<double>(0, 3) = -0.1350;
		Lo_R.at<double>(0, 4) = -0.0854;
		Lo_R.at<double>(0, 5) = 0.0352;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 6, CV_64FC1) ;
		Hi_R.at<double>(0, 0) = 0.0352 ;
		Hi_R.at<double>(0, 1) = 0.0854 ;
		Hi_R.at<double>(0, 2) = -0.1350;
		Hi_R.at<double>(0, 3) = -0.4599;
		Hi_R.at<double>(0, 4) = 0.8069 ;
		Hi_R.at<double>(0, 5) = -0.3327;
	}
	else if (wname == "sym4")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 8, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.0322 ;
		Lo_R.at<double>(0, 1) = -0.0126;
		Lo_R.at<double>(0, 2) = -0.0992;
		Lo_R.at<double>(0, 3) = 0.2979 ;
		Lo_R.at<double>(0, 4) = 0.8037 ;
		Lo_R.at<double>(0, 5) = 0.4976 ;
		Lo_R.at<double>(0, 6) = -0.0296;
		Lo_R.at<double>(0, 7) = -0.0758;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 8, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.0758;
		Hi_R.at<double>(0, 1) = 0.0296 ;
		Hi_R.at<double>(0, 2) = 0.4976 ;
		Hi_R.at<double>(0, 3) = -0.8037;
		Hi_R.at<double>(0, 4) = 0.2979 ;
		Hi_R.at<double>(0, 5) = 0.0992 ;
		Hi_R.at<double>(0, 6) = -0.0126;
		Hi_R.at<double>(0, 7) = -0.0322;
	}
	else if (wname == "sym5")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 10, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.0195 ;
		Lo_R.at<double>(0, 1) = -0.0211;
		Lo_R.at<double>(0, 2) = -0.1753;
		Lo_R.at<double>(0, 3) = 0.0166 ;
		Lo_R.at<double>(0, 4) = 0.6340 ;
		Lo_R.at<double>(0, 5) = 0.7234 ;
		Lo_R.at<double>(0, 6) = 0.1994 ;
		Lo_R.at<double>(0, 7) = -0.0391;
		Lo_R.at<double>(0, 8) = 0.0295 ;
		Lo_R.at<double>(0, 9) = 0.0273;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 10, CV_64FC1);
		Hi_R.at<double>(0, 0) = 0.0273 ;
		Hi_R.at<double>(0, 1) = -0.0295;
		Hi_R.at<double>(0, 2) = -0.0391;
		Hi_R.at<double>(0, 3) = -0.1994;
		Hi_R.at<double>(0, 4) = 0.7234 ;
		Hi_R.at<double>(0, 5) = -0.6340;
		Hi_R.at<double>(0, 6) = 0.0166 ;
		Hi_R.at<double>(0, 7) = 0.1753 ;
		Hi_R.at<double>(0, 8) = -0.0211;
		Hi_R.at<double>(0, 9) = -0.0195;
	}
	else if (wname == "sym6")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 12, CV_64FC1);
		Lo_R.at<double>(0, 0) = -0.0078;
		Lo_R.at<double>(0, 1) = 0.0018 ;
		Lo_R.at<double>(0, 2) = 0.0447 ;
		Lo_R.at<double>(0, 3) = -0.0211;
		Lo_R.at<double>(0, 4) = -0.0726;
		Lo_R.at<double>(0, 5) = 0.3379 ;
		Lo_R.at<double>(0, 6) = 0.7876 ;
		Lo_R.at<double>(0, 7) = 0.4911 ;
		Lo_R.at<double>(0, 8) = -0.0483;
		Lo_R.at<double>(0, 9) = -0.1180;
		Lo_R.at<double>(0, 10) = 0.0035;
		Lo_R.at<double>(0, 11) = 0.0154;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 12, CV_64FC1);
		Hi_R.at<double>(0, 0) =  0.0154;
		Hi_R.at<double>(0, 1) = -0.0035;
		Hi_R.at<double>(0, 2) = -0.1180;
		Hi_R.at<double>(0, 3) = 0.0483 ;
		Hi_R.at<double>(0, 4) = 0.4911 ;
		Hi_R.at<double>(0, 5) = -0.7876;
		Hi_R.at<double>(0, 6) = 0.3379 ;
		Hi_R.at<double>(0, 7) = 0.0726 ;
		Hi_R.at<double>(0, 8) = -0.0211;
		Hi_R.at<double>(0, 9) = -0.0447;
		Hi_R.at<double>(0, 10) = 0.0018;
		Hi_R.at<double>(0, 11) = 0.0078;
	}
	else if (wname == "sym7")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 14, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.0103 ;
		Lo_R.at<double>(0, 1) = 0.0040 ;
		Lo_R.at<double>(0, 2) = -0.1078;
		Lo_R.at<double>(0, 3) = -0.1400;
		Lo_R.at<double>(0, 4) = 0.2886 ;
		Lo_R.at<double>(0, 5) = 0.7678 ;
		Lo_R.at<double>(0, 6) = 0.5361 ;
		Lo_R.at<double>(0, 7) = 0.0174 ;
		Lo_R.at<double>(0, 8) = -0.0496;
		Lo_R.at<double>(0, 9) = 0.0679;
		Lo_R.at<double>(0, 10) = 0.0305 ;
		Lo_R.at<double>(0, 11) = -0.0126;
		Lo_R.at<double>(0, 12) = -0.0010;
		Lo_R.at<double>(0, 13) = 0.0027;

		// 创建Hi_D
		Hi_R = cv::Mat(1, 14, CV_64FC1);
		Hi_R.at<double>(0, 0) = 0.0027 ;
		Hi_R.at<double>(0, 1) = 0.0010 ;
		Hi_R.at<double>(0, 2) = -0.0126;
		Hi_R.at<double>(0, 3) = -0.0305;
		Hi_R.at<double>(0, 4) = 0.0679 ;
		Hi_R.at<double>(0, 5) = 0.0496 ;
		Hi_R.at<double>(0, 6) = 0.0174 ;
		Hi_R.at<double>(0, 7) = -0.5361;
		Hi_R.at<double>(0, 8) = 0.7678 ;
		Hi_R.at<double>(0, 9) = -0.2886;
		Hi_R.at<double>(0, 10) = -0.1400;
		Hi_R.at<double>(0, 11) = 0.1078 ;
		Hi_R.at<double>(0, 12) = 0.0040 ;
		Hi_R.at<double>(0, 13) = -0.0103;  
	}
	else if (wname == "sym8")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 16, CV_64FC1);
		Lo_R.at<double>(0, 0) =  0.0019;
		Lo_R.at<double>(0, 1) = -0.0003;
		Lo_R.at<double>(0, 2) = -0.0150;
		Lo_R.at<double>(0, 3) = 0.0038 ;
		Lo_R.at<double>(0, 4) = 0.0491 ;
		Lo_R.at<double>(0, 5) = -0.0272;
		Lo_R.at<double>(0, 6) = -0.0519;
		Lo_R.at<double>(0, 7) = 0.3644 ;
		Lo_R.at<double>(0, 8) = 0.7772 ;
		Lo_R.at<double>(0, 9) = 0.4814;
		Lo_R.at<double>(0, 10) = -0.0613;
		Lo_R.at<double>(0, 11) = -0.1433;
		Lo_R.at<double>(0, 12) = 0.0076 ;
		Lo_R.at<double>(0, 13) = 0.0317 ;
		Lo_R.at<double>(0, 14) = -0.0005;
		Lo_R.at<double>(0, 15) = -0.0034;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 16, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.0034;
		Hi_R.at<double>(0, 1) = 0.0005 ;
		Hi_R.at<double>(0, 2) = 0.0317 ;
		Hi_R.at<double>(0, 3) = -0.0076;
		Hi_R.at<double>(0, 4) = -0.1433;
		Hi_R.at<double>(0, 5) = 0.0613 ;
		Hi_R.at<double>(0, 6) = 0.4814 ;
		Hi_R.at<double>(0, 7) = -0.7772;
		Hi_R.at<double>(0, 8) = 0.3644 ;
		Hi_R.at<double>(0, 9) = 0.0519;
		Hi_R.at<double>(0, 10) = -0.0272;
		Hi_R.at<double>(0, 11) = -0.0491;
		Hi_R.at<double>(0, 12) = 0.0038 ;
		Hi_R.at<double>(0, 13) = 0.0150 ;
		Hi_R.at<double>(0, 14) = -0.0003;
		Hi_R.at<double>(0, 15) = -0.0019;
	}
	else if (wname == "sym9")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 18, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.0011 ;
		Lo_R.at<double>(0, 1) = -0.0005;
		Lo_R.at<double>(0, 2) = -0.0103;
		Lo_R.at<double>(0, 3) = 0.0089 ;
		Lo_R.at<double>(0, 4) = 0.0621 ;
		Lo_R.at<double>(0, 5) = -0.0182;
		Lo_R.at<double>(0, 6) = -0.1916;
		Lo_R.at<double>(0, 7) = 0.0353 ;
		Lo_R.at<double>(0, 8) = 0.6173 ;
		Lo_R.at<double>(0, 9) = 0.7179;
		Lo_R.at<double>(0, 10) = 0.2388 ;
		Lo_R.at<double>(0, 11) = -0.0546;
		Lo_R.at<double>(0, 12) = 0.0006 ;
		Lo_R.at<double>(0, 13) = 0.0302 ;
		Lo_R.at<double>(0, 14) = -0.0115;
		Lo_R.at<double>(0, 15) = -0.0133;
		Lo_R.at<double>(0, 16) = 0.0006 ;
		Lo_R.at<double>(0, 17) = 0.0014;

		// 创建Hi_D
		Hi_R = cv::Mat(1, 18, CV_64FC1);
		Hi_R.at<double>(0, 0) = 0.0014 ;
		Hi_R.at<double>(0, 1) = -0.0006;
		Hi_R.at<double>(0, 2) = -0.0133;
		Hi_R.at<double>(0, 3) = 0.0115 ;
		Hi_R.at<double>(0, 4) = 0.0302 ;
		Hi_R.at<double>(0, 5) = -0.0006;
		Hi_R.at<double>(0, 6) = -0.0546;
		Hi_R.at<double>(0, 7) = -0.2388;
		Hi_R.at<double>(0, 8) = 0.7179 ;
		Hi_R.at<double>(0, 9) = -0.6173;
		Hi_R.at<double>(0, 10) = 0.0353 ;
		Hi_R.at<double>(0, 11) = 0.1916 ;
		Hi_R.at<double>(0, 12) = -0.0182;
		Hi_R.at<double>(0, 13) = -0.0621;
		Hi_R.at<double>(0, 14) = 0.0089 ;
		Hi_R.at<double>(0, 15) = 0.0103 ;
		Hi_R.at<double>(0, 16) = -0.0005;
		Hi_R.at<double>(0, 17) = -0.0011;
	}
	else if (wname == "sym10")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 20, CV_64FC1);
		Lo_R.at<double>(0, 0) = -0.0005;
		Lo_R.at<double>(0, 1) = 0.0001 ;
		Lo_R.at<double>(0, 2) = 0.0046 ;
		Lo_R.at<double>(0, 3) = -0.0008;
		Lo_R.at<double>(0, 4) = -0.0204;
		Lo_R.at<double>(0, 5) = 0.0058 ;
		Lo_R.at<double>(0, 6) = 0.0500 ;
		Lo_R.at<double>(0, 7) = -0.0320;
		Lo_R.at<double>(0, 8) = -0.0355;
		Lo_R.at<double>(0, 9) = 0.3838;
		Lo_R.at<double>(0, 10) = 0.7695 ;
		Lo_R.at<double>(0, 11) = 0.4717 ;
		Lo_R.at<double>(0, 12) = -0.0709;
		Lo_R.at<double>(0, 13) = -0.1595;
		Lo_R.at<double>(0, 14) = 0.0116 ;
		Lo_R.at<double>(0, 15) = 0.0459 ;
		Lo_R.at<double>(0, 16) = -0.0015;
		Lo_R.at<double>(0, 17) = -0.0086;
		Lo_R.at<double>(0, 18) = 0.0001 ;
		Lo_R.at<double>(0, 19) = 0.0008;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 20, CV_64FC1);
		Hi_R.at<double>(0, 0) = 0.0008 ;
		Hi_R.at<double>(0, 1) = -0.0001;
		Hi_R.at<double>(0, 2) = -0.0086;
		Hi_R.at<double>(0, 3) = 0.0015 ;
		Hi_R.at<double>(0, 4) = 0.0459 ;
		Hi_R.at<double>(0, 5) = -0.0116;
		Hi_R.at<double>(0, 6) = -0.1595;
		Hi_R.at<double>(0, 7) = 0.0709 ;
		Hi_R.at<double>(0, 8) = 0.4717 ;
		Hi_R.at<double>(0, 9) = -0.7695;
		Hi_R.at<double>(0, 10) = 0.3838 ;
		Hi_R.at<double>(0, 11) = 0.0355 ;
		Hi_R.at<double>(0, 12) = -0.0320;
		Hi_R.at<double>(0, 13) = -0.0500;
		Hi_R.at<double>(0, 14) = 0.0058 ;
		Hi_R.at<double>(0, 15) = 0.0204 ;
		Hi_R.at<double>(0, 16) = -0.0008;
		Hi_R.at<double>(0, 17) = -0.0046;
		Hi_R.at<double>(0, 18) = 0.0001 ;
		Hi_R.at<double>(0, 19) = 0.0005;
	}
	else if (wname == "db1")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 2, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.7071;
		Lo_R.at<double>(0, 1) = 0.7071;

		// 创建Hi_D
		Hi_R = cv::Mat(1, 2, CV_64FC1);
		Hi_R.at<double>(0, 0) = 0.7071;
		Hi_R.at<double>(0, 1) = -0.7071;
	}
	else if (wname == "db2")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 4, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.4830 ;
		Lo_R.at<double>(0, 1) = 0.8365 ;
		Lo_R.at<double>(0, 2) = 0.2241 ;
		Lo_R.at<double>(0, 3) = -0.1294;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 4, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.1294;
		Hi_R.at<double>(0, 1) = -0.2241;
		Hi_R.at<double>(0, 2) = 0.8365 ;
		Hi_R.at<double>(0, 3) = -0.4830;
	}
	else if (wname == "db3")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 6, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.3327 ;
		Lo_R.at<double>(0, 1) = 0.8069 ;
		Lo_R.at<double>(0, 2) = 0.4599 ;
		Lo_R.at<double>(0, 3) = -0.1350;
		Lo_R.at<double>(0, 4) = -0.0854;
		Lo_R.at<double>(0, 5) = 0.0352;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 6, CV_64FC1) ;
		Hi_R.at<double>(0, 0) = 0.0352 ;
		Hi_R.at<double>(0, 1) = 0.0854 ;
		Hi_R.at<double>(0, 2) = -0.1350;
		Hi_R.at<double>(0, 3) = -0.4599;
		Hi_R.at<double>(0, 4) = 0.8069 ;
		Hi_R.at<double>(0, 5) = -0.3327;
	}
	else if (wname == "db4")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 8, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.2304 ;
		Lo_R.at<double>(0, 1) = 0.7148 ;
		Lo_R.at<double>(0, 2) = 0.6309 ;
		Lo_R.at<double>(0, 3) = -0.0280;
		Lo_R.at<double>(0, 4) = -0.1870;
		Lo_R.at<double>(0, 5) = 0.0308 ;
		Lo_R.at<double>(0, 6) = 0.0329 ;
		Lo_R.at<double>(0, 7) = -0.0106;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 8, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.0106;
		Hi_R.at<double>(0, 1) = -0.0329;
		Hi_R.at<double>(0, 2) = 0.0308 ;
		Hi_R.at<double>(0, 3) = 0.1870 ;
		Hi_R.at<double>(0, 4) = -0.0280;
		Hi_R.at<double>(0, 5) = -0.6309;
		Hi_R.at<double>(0, 6) = 0.7148 ;
		Hi_R.at<double>(0, 7) = -0.2304;
	}
	else if (wname == "db5")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 10, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.1601 ;
		Lo_R.at<double>(0, 1) = 0.6038 ;
		Lo_R.at<double>(0, 2) = 0.7243 ;
		Lo_R.at<double>(0, 3) = 0.1384 ;
		Lo_R.at<double>(0, 4) = -0.2423;
		Lo_R.at<double>(0, 5) = -0.0322;
		Lo_R.at<double>(0, 6) = 0.0776 ;
		Lo_R.at<double>(0, 7) = -0.0062;
		Lo_R.at<double>(0, 8) = -0.0126;
		Lo_R.at<double>(0, 9) = 0.0033;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 10, CV_64FC1);
		Hi_R.at<double>(0, 0) = 0.0033 ;
		Hi_R.at<double>(0, 1) = 0.0126 ;
		Hi_R.at<double>(0, 2) = -0.0062;
		Hi_R.at<double>(0, 3) = -0.0776;
		Hi_R.at<double>(0, 4) = -0.0322;
		Hi_R.at<double>(0, 5) = 0.2423 ;
		Hi_R.at<double>(0, 6) = 0.1384 ;
		Hi_R.at<double>(0, 7) = -0.7243;
		Hi_R.at<double>(0, 8) = 0.6038 ;
		Hi_R.at<double>(0, 9) = -0.1601;
	}
	else if (wname == "db6")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 12, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.1115 ;
		Lo_R.at<double>(0, 1) = 0.4946 ;
		Lo_R.at<double>(0, 2) = 0.7511 ;
		Lo_R.at<double>(0, 3) = 0.3153 ;
		Lo_R.at<double>(0, 4) = -0.2263;
		Lo_R.at<double>(0, 5) = -0.1298;
		Lo_R.at<double>(0, 6) = 0.0975 ;
		Lo_R.at<double>(0, 7) = 0.0275 ;
		Lo_R.at<double>(0, 8) = -0.0316;
		Lo_R.at<double>(0, 9) = 0.0006;
		Lo_R.at<double>(0, 10) = 0.0048 ;
		Lo_R.at<double>(0, 11) = -0.0011;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 12, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.0011;
		Hi_R.at<double>(0, 1) = -0.0048;
		Hi_R.at<double>(0, 2) = 0.0006 ;
		Hi_R.at<double>(0, 3) = 0.0316 ;
		Hi_R.at<double>(0, 4) = 0.0275 ;
		Hi_R.at<double>(0, 5) = -0.0975;
		Hi_R.at<double>(0, 6) = -0.1298;
		Hi_R.at<double>(0, 7) = 0.2263 ;
		Hi_R.at<double>(0, 8) = 0.3153 ;
		Hi_R.at<double>(0, 9) = -0.7511;
		Hi_R.at<double>(0, 10) = 0.4946 ;
		Hi_R.at<double>(0, 11) = -0.1115;
	}
	else if (wname == "db7")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 14, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.0779 ;
		Lo_R.at<double>(0, 1) = 0.3965 ;
		Lo_R.at<double>(0, 2) = 0.7291 ;
		Lo_R.at<double>(0, 3) = 0.4698 ;
		Lo_R.at<double>(0, 4) = -0.1439;
		Lo_R.at<double>(0, 5) = -0.2240;
		Lo_R.at<double>(0, 6) = 0.0713 ;
		Lo_R.at<double>(0, 7) = 0.0806 ;
		Lo_R.at<double>(0, 8) = -0.0380;
		Lo_R.at<double>(0, 9) = -0.0166;
		Lo_R.at<double>(0, 10) = 0.0126 ;
		Lo_R.at<double>(0, 11) = 0.0004 ;
		Lo_R.at<double>(0, 12) = -0.0018;
		Lo_R.at<double>(0, 13) = 0.0004;

		
		// 创建Hi_D
		Hi_R = cv::Mat(1, 14, CV_64FC1);
		Hi_R.at<double>(0, 0) = 0.0004 ;
		Hi_R.at<double>(0, 1) = 0.0018 ;
		Hi_R.at<double>(0, 2) = 0.0004 ;
		Hi_R.at<double>(0, 3) = -0.0126;
		Hi_R.at<double>(0, 4) = -0.0166;
		Hi_R.at<double>(0, 5) = 0.0380 ;
		Hi_R.at<double>(0, 6) = 0.0806 ;
		Hi_R.at<double>(0, 7) = -0.0713;
		Hi_R.at<double>(0, 8) = -0.2240;
		Hi_R.at<double>(0, 9) = 0.1439;
		Hi_R.at<double>(0, 10) = 0.4698 ;
		Hi_R.at<double>(0, 11) = -0.7291;
		Hi_R.at<double>(0, 12) = 0.3965 ;
		Hi_R.at<double>(0, 13) = -0.0779; 		
	}
	else if (wname == "db8")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 16, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.0544 ;
		Lo_R.at<double>(0, 1) = 0.3129;
		Lo_R.at<double>(0, 2) = 0.6756 ;
		Lo_R.at<double>(0, 3) = 0.5854;
		Lo_R.at<double>(0, 4) = -0.0158;
		Lo_R.at<double>(0, 5) = -0.2840;
		Lo_R.at<double>(0, 6) = 0.0005 ;
		Lo_R.at<double>(0, 7) = 0.1287 ;
		Lo_R.at<double>(0, 8) = -0.0174;
		Lo_R.at<double>(0, 9) = -0.0441;
		Lo_R.at<double>(0, 10) = 0.0140 ;
		Lo_R.at<double>(0, 11) = 0.0087 ;
		Lo_R.at<double>(0, 12) = -0.0049;
		Lo_R.at<double>(0, 13) = -0.0004;
		Lo_R.at<double>(0, 14) = 0.0007 ;
		Lo_R.at<double>(0, 15) = -0.0001;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 16, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.0001;
		Hi_R.at<double>(0, 1) = -0.0007;
		Hi_R.at<double>(0, 2) = -0.0004;
		Hi_R.at<double>(0, 3) = 0.0049 ;
		Hi_R.at<double>(0, 4) = 0.0087 ;
		Hi_R.at<double>(0, 5) = -0.0140;
		Hi_R.at<double>(0, 6) = -0.0441;
		Hi_R.at<double>(0, 7) = 0.0174 ;
		Hi_R.at<double>(0, 8) = 0.1287 ;
		Hi_R.at<double>(0, 9) = -0.0005;
		Hi_R.at<double>(0, 10) = -0.2840;
		Hi_R.at<double>(0, 11) = 0.0158 ;
		Hi_R.at<double>(0, 12) = 0.5854 ;
		Hi_R.at<double>(0, 13) = -0.6756;
		Hi_R.at<double>(0, 14) = 0.3129 ;
		Hi_R.at<double>(0, 15) = -0.0544;
	}
	else if (wname == "db9")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 18, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.0381 ;
		Lo_R.at<double>(0, 1) = 0.2438 ;
		Lo_R.at<double>(0, 2) = 0.6048 ;
		Lo_R.at<double>(0, 3) = 0.6573 ;
		Lo_R.at<double>(0, 4) = 0.1332 ;
		Lo_R.at<double>(0, 5) = -0.2933;
		Lo_R.at<double>(0, 6) = -0.0968;
		Lo_R.at<double>(0, 7) = 0.1485 ;
		Lo_R.at<double>(0, 8) = 0.0307 ;
		Lo_R.at<double>(0, 9) = -0.0676;
		Lo_R.at<double>(0, 10) = 0.0003 ;
		Lo_R.at<double>(0, 11) = 0.0224 ;
		Lo_R.at<double>(0, 12) = -0.0047;
		Lo_R.at<double>(0, 13) = -0.0043;
		Lo_R.at<double>(0, 14) = 0.0018 ;
		Lo_R.at<double>(0, 15) = 0.0002 ;
		Lo_R.at<double>(0, 16) = -0.0003;
		Lo_R.at<double>(0, 17) = 0.0000 ;

	
		// 创建Hi_D
		Hi_R = cv::Mat(1, 18, CV_64FC1);
		Hi_R.at<double>(0, 0) = 0.0000 ;
		Hi_R.at<double>(0, 1) = 0.0003 ;
		Hi_R.at<double>(0, 2) = 0.0002 ;
		Hi_R.at<double>(0, 3) = -0.0018;
		Hi_R.at<double>(0, 4) = -0.0043;
		Hi_R.at<double>(0, 5) = 0.0047 ;
		Hi_R.at<double>(0, 6) = 0.0224 ;
		Hi_R.at<double>(0, 7) = -0.0003;
		Hi_R.at<double>(0, 8) = -0.0676;
		Hi_R.at<double>(0, 9) = -0.0307;
		Hi_R.at<double>(0, 10) = 0.1485 ;
		Hi_R.at<double>(0, 11) = 0.0968 ;
		Hi_R.at<double>(0, 12) = -0.2933;
		Hi_R.at<double>(0, 13) = -0.1332;
		Hi_R.at<double>(0, 14) = 0.6573 ;
		Hi_R.at<double>(0, 15) = -0.6048;
		Hi_R.at<double>(0, 16) = 0.2438 ;
		Hi_R.at<double>(0, 17) = -0.0381;		
	}
	else if (wname == "db10")
	{
		// 创建Lo_D
		Lo_R = cv::Mat(1, 20, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.0267 ;
		Lo_R.at<double>(0, 1) = 0.1882 ;
		Lo_R.at<double>(0, 2) = 0.5272 ;
		Lo_R.at<double>(0, 3) = 0.6885 ;
		Lo_R.at<double>(0, 4) = 0.2812 ;
		Lo_R.at<double>(0, 5) = -0.2498;
		Lo_R.at<double>(0, 6) = -0.1959;
		Lo_R.at<double>(0, 7) = 0.1274 ;
		Lo_R.at<double>(0, 8) = 0.0931 ;
		Lo_R.at<double>(0, 9) = -0.0714;
		Lo_R.at<double>(0, 10) = -0.0295;
		Lo_R.at<double>(0, 11) = 0.0332 ;
		Lo_R.at<double>(0, 12) = 0.0036 ;
		Lo_R.at<double>(0, 13) = -0.0107;
		Lo_R.at<double>(0, 14) = 0.0014 ;
		Lo_R.at<double>(0, 15) = 0.0020 ;
		Lo_R.at<double>(0, 16) = -0.0007;
		Lo_R.at<double>(0, 17) = -0.0001;
		Lo_R.at<double>(0, 18) = 0.0001 ;
		Lo_R.at<double>(0, 19) = -0.0000;


		// 创建Hi_D
		Hi_R = cv::Mat(1, 20, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.0000;
		Hi_R.at<double>(0, 1) = -0.0001;
		Hi_R.at<double>(0, 2) = -0.0001;
		Hi_R.at<double>(0, 3) = 0.0007 ;
		Hi_R.at<double>(0, 4) = 0.0020 ;
		Hi_R.at<double>(0, 5) = -0.0014;
		Hi_R.at<double>(0, 6) = -0.0107;
		Hi_R.at<double>(0, 7) = -0.0036;
		Hi_R.at<double>(0, 8) = 0.0332 ;
		Hi_R.at<double>(0, 9) = 0.0295;
		Hi_R.at<double>(0, 10) = -0.0714;
		Hi_R.at<double>(0, 11) = -0.0931;
		Hi_R.at<double>(0, 12) = 0.1274 ;
		Hi_R.at<double>(0, 13) = 0.1959 ;
		Hi_R.at<double>(0, 14) = -0.2498;
		Hi_R.at<double>(0, 15) = -0.2812;
		Hi_R.at<double>(0, 16) = 0.6885 ;
		Hi_R.at<double>(0, 17) = -0.5272;
		Hi_R.at<double>(0, 18) = 0.1882 ;
		Hi_R.at<double>(0, 19) = -0.0267;
	}
	// coiflet小波
	else if (wname == "coif1") 
	{
		// 创建Lo_R
		Lo_R = cv::Mat(1, 6, CV_64FC1);
		Lo_R.at<double>(0, 0) = -0.0727;
		Lo_R.at<double>(0, 1) = 0.3379 ;
		Lo_R.at<double>(0, 2) = 0.8526 ;
		Lo_R.at<double>(0, 3) = 0.3849 ; 
		Lo_R.at<double>(0, 4) = -0.0727;
		Lo_R.at<double>(0, 5) = -0.0157;

		    
		// 创建Hi_R
		Hi_R = cv::Mat(1, 6, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.0157 ;
		Hi_R.at<double>(0, 1) = 0.0727;  
		Hi_R.at<double>(0, 2) = 0.3849 ;
		Hi_R.at<double>(0, 3) = -0.8526 ;
		Hi_R.at<double>(0, 4) = 0.3379;  
		Hi_R.at<double>(0, 5) = 0.0727;
	}	
	else if (wname == "coif2") 
	{
		// 创建Lo_R
		Lo_R = cv::Mat(1, 12, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.0164;
		Lo_R.at<double>(0, 1) = -0.0415;
		Lo_R.at<double>(0, 2) = -0.0674;
		Lo_R.at<double>(0, 3) = 0.3861;
		Lo_R.at<double>(0, 4) = 0.8127;
		Lo_R.at<double>(0, 5) = 0.4170;
		Lo_R.at<double>(0, 6) = -0.0765;
		Lo_R.at<double>(0, 7) = -0.0594;
		Lo_R.at<double>(0, 8) = 0.0237;
		Lo_R.at<double>(0, 9) = 0.0056;
		Lo_R.at<double>(0, 10) = -0.0018;
		Lo_R.at<double>(0, 11) = -0.0007;


		// 创建Hi_R
		Hi_R = cv::Mat(1, 12, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.0007;
		Hi_R.at<double>(0, 1) = 0.0018 ;
		Hi_R.at<double>(0, 2) = 0.0056 ;
		Hi_R.at<double>(0, 3) = -0.0237;
		Hi_R.at<double>(0, 4) = -0.0594;
		Hi_R.at<double>(0, 5) = 0.0765 ;
		Hi_R.at<double>(0, 6) = 0.4170 ;
		Hi_R.at<double>(0, 7) = -0.8127;
		Hi_R.at<double>(0, 8) = 0.3861 ;
		Hi_R.at<double>(0, 9) = 0.0674 ;
		Hi_R.at<double>(0, 10) = -0.0415;
		Hi_R.at<double>(0, 11) = -0.0164;	
	}	
	else if (wname == "coif3") 
	{
		// 创建Lo_R
		Lo_R = cv::Mat(1, 18, CV_64FC1);
		Lo_R.at<double>(0, 0) = -0.0038;
		Lo_R.at<double>(0, 1) = 0.0078 ;
		Lo_R.at<double>(0, 2) = 0.0235 ;
		Lo_R.at<double>(0, 3) = -0.0658;
		Lo_R.at<double>(0, 4) = -0.0611;
		Lo_R.at<double>(0, 5) = 0.4052 ;
		Lo_R.at<double>(0, 6) = 0.7938 ;
		Lo_R.at<double>(0, 7) = 0.4285 ;
		Lo_R.at<double>(0, 8) = -0.0718;
		Lo_R.at<double>(0, 9) = -0.0823;
		Lo_R.at<double>(0, 10) = 0.0346 ;
		Lo_R.at<double>(0, 11) = 0.0159 ;
		Lo_R.at<double>(0, 12) = -0.0090;
		Lo_R.at<double>(0, 13) = -0.0026;
		Lo_R.at<double>(0, 14) = 0.0011 ;
		Lo_R.at<double>(0, 15) = 0.0005 ;
		Lo_R.at<double>(0, 16) = -0.0001;
		Lo_R.at<double>(0, 17) = -0.0000;

	
		// 创建Hi_R
		Hi_R = cv::Mat(1, 18, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.0000;
		Hi_R.at<double>(0, 1) = 0.0001 ;
		Hi_R.at<double>(0, 2) = 0.0005 ;
		Hi_R.at<double>(0, 3) = -0.0011;
		Hi_R.at<double>(0, 4) = -0.0026;
		Hi_R.at<double>(0, 5) = 0.0090 ;
		Hi_R.at<double>(0, 6) = 0.0159 ;
		Hi_R.at<double>(0, 7) = -0.0346;
		Hi_R.at<double>(0, 8) = -0.0823;
		Hi_R.at<double>(0, 9) = 0.0718;
		Hi_R.at<double>(0, 10) = 0.4285 ;
		Hi_R.at<double>(0, 11) = -0.7938;
		Hi_R.at<double>(0, 12) = 0.4052 ;
		Hi_R.at<double>(0, 13) = 0.0611 ;
		Hi_R.at<double>(0, 14) = -0.0658;
		Hi_R.at<double>(0, 15) = -0.0235;
		Hi_R.at<double>(0, 16) = 0.0078 ;
		Hi_R.at<double>(0, 17) = 0.0038;

	}	
	else if (wname == "coif4") 
	{
		// 创建Lo_R
		Lo_R = cv::Mat(1, 24, CV_64FC1);
		Lo_R.at<double>(0, 0) = 0.0009 ;
		Lo_R.at<double>(0, 1) = -0.0016;
		Lo_R.at<double>(0, 2) = -0.0073;
		Lo_R.at<double>(0, 3) = 0.0161 ;
		Lo_R.at<double>(0, 4) = 0.0267 ;
		Lo_R.at<double>(0, 5) = -0.0813;
		Lo_R.at<double>(0, 6) = -0.0561;
		Lo_R.at<double>(0, 7) = 0.4153 ;
		Lo_R.at<double>(0, 8) = 0.7822 ;
		Lo_R.at<double>(0, 9) = 0.4344;
		Lo_R.at<double>(0, 10) = -0.0666;
		Lo_R.at<double>(0, 11) = -0.0962;
		Lo_R.at<double>(0, 12) = 0.0393 ;
		Lo_R.at<double>(0, 13) = 0.0251 ;
		Lo_R.at<double>(0, 14) = -0.0152;
		Lo_R.at<double>(0, 15) = -0.0057;
		Lo_R.at<double>(0, 16) = 0.0038 ;
		Lo_R.at<double>(0, 17) = 0.0013 ;
		Lo_R.at<double>(0, 18) = -0.0006;
		Lo_R.at<double>(0, 19) = -0.0003;
		Lo_R.at<double>(0, 20) = 0.0001 ;
		Lo_R.at<double>(0, 21) = 0.0000 ;
		Lo_R.at<double>(0, 22) = -0.0000;
		Lo_R.at<double>(0, 23) = -0.0000;

			
		// 创建Hi_R
		Hi_R = cv::Mat(1, 24, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.0000;
		Hi_R.at<double>(0, 1) = 0.0000 ;
		Hi_R.at<double>(0, 2) = 0.0000 ;
		Hi_R.at<double>(0, 3) = -0.0001;
		Hi_R.at<double>(0, 4) = -0.0003;
		Hi_R.at<double>(0, 5) = 0.0006 ;
		Hi_R.at<double>(0, 6) = 0.0013 ;
		Hi_R.at<double>(0, 7) = -0.0038;
		Hi_R.at<double>(0, 8) = -0.0057;
		Hi_R.at<double>(0, 9) = 0.0152 ;
		Hi_R.at<double>(0, 10) = 0.0251 ;
		Hi_R.at<double>(0, 11) = -0.0393;
		Hi_R.at<double>(0, 12) = -0.0962;
		Hi_R.at<double>(0, 13) = 0.0666 ;
		Hi_R.at<double>(0, 14) = 0.4344 ;
		Hi_R.at<double>(0, 15) = -0.7822;
		Hi_R.at<double>(0, 16) = 0.4153 ;
		Hi_R.at<double>(0, 17) = 0.0561 ;
		Hi_R.at<double>(0, 18) = -0.0813;
		Hi_R.at<double>(0, 19) = -0.0267;
		Hi_R.at<double>(0, 20) = 0.0161 ;
		Hi_R.at<double>(0, 21) = 0.0073 ;
		Hi_R.at<double>(0, 22) = -0.0016;
		Hi_R.at<double>(0, 23) = -0.0009;
	}	
	else if (wname == "coif5") 
	{	
		// 创建Lo_R
		Lo_R = cv::Mat(1, 30, CV_64FC1);
		Lo_R.at<double>(0, 0) = -0.0002;
		Lo_R.at<double>(0, 1) = 0.0004 ;
		Lo_R.at<double>(0, 2) = 0.0022 ;
		Lo_R.at<double>(0, 3) = -0.0042;
		Lo_R.at<double>(0, 4) = -0.0101;
		Lo_R.at<double>(0, 5) = 0.0234 ;
		Lo_R.at<double>(0, 6) = 0.0282 ;
		Lo_R.at<double>(0, 7) = -0.0919;
		Lo_R.at<double>(0, 8) = -0.0520;
		Lo_R.at<double>(0, 9) = 0.4216;
		Lo_R.at<double>(0, 10) = 0.7743 ;
		Lo_R.at<double>(0, 11) = 0.4380 ;
		Lo_R.at<double>(0, 12) = -0.0620;
		Lo_R.at<double>(0, 13) = -0.1056;
		Lo_R.at<double>(0, 14) = 0.0413 ;
		Lo_R.at<double>(0, 15) = 0.0327 ;
		Lo_R.at<double>(0, 16) = -0.0198;
		Lo_R.at<double>(0, 17) = -0.0092;
		Lo_R.at<double>(0, 18) = 0.0068 ;
		Lo_R.at<double>(0, 19) = 0.0024 ;
		Lo_R.at<double>(0, 20) = -0.0017;
		Lo_R.at<double>(0, 21) = -0.0006;
		Lo_R.at<double>(0, 22) = 0.0003 ;
		Lo_R.at<double>(0, 23) = 0.0001 ;
		Lo_R.at<double>(0, 24) = -0.0000 ;
		Lo_R.at<double>(0, 25) = -0.0000;
		Lo_R.at<double>(0, 26) = 0.0000 ;
		Lo_R.at<double>(0, 27) = 0.0000 ;
		Lo_R.at<double>(0, 28) = -0.0000;
		Lo_R.at<double>(0, 29) = -0.0000;

	
		// 创建Hi_R
		Hi_R = cv::Mat(1, 30, CV_64FC1);
		Hi_R.at<double>(0, 0) = -0.0000;
		Hi_R.at<double>(0, 1) = 0.0000 ;
		Hi_R.at<double>(0, 2) = 0.0000 ;
		Hi_R.at<double>(0, 3) = -0.0000;
		Hi_R.at<double>(0, 4) = -0.0000;
		Hi_R.at<double>(0, 5) = 0.0000 ;
		Hi_R.at<double>(0, 6) = 0.0001 ;
		Hi_R.at<double>(0, 7) = -0.0003;
		Hi_R.at<double>(0, 8) = -0.0006;
		Hi_R.at<double>(0, 9) = 0.0017;
		Hi_R.at<double>(0, 10) = 0.0024 ;
		Hi_R.at<double>(0, 11) = -0.0068;
		Hi_R.at<double>(0, 12) = -0.0092;
		Hi_R.at<double>(0, 13) = 0.0198 ;
		Hi_R.at<double>(0, 14) = 0.0327 ;
		Hi_R.at<double>(0, 15) = -0.0413;
		Hi_R.at<double>(0, 16) = -0.1056;
		Hi_R.at<double>(0, 17) = 0.0620 ;
		Hi_R.at<double>(0, 18) = 0.4380 ;
		Hi_R.at<double>(0, 19) = -0.7743;
		Hi_R.at<double>(0, 20) = 0.4216 ;
		Hi_R.at<double>(0, 21) = 0.0520 ;
		Hi_R.at<double>(0, 22) = -0.0919;
		Hi_R.at<double>(0, 23) = -0.0282;
		Hi_R.at<double>(0, 24) = 0.0234 ;
		Hi_R.at<double>(0, 25) = 0.0101 ;
		Hi_R.at<double>(0, 26) = -0.0042;
		Hi_R.at<double>(0, 27) = -0.0022;
		Hi_R.at<double>(0, 28) = 0.0004 ;
		Hi_R.at<double>(0, 29) = 0.0002; 
	}	
	else 
	{	
		return false;
	}

	return true;
}



// 功能：函数 waveRec2() 对输入的分解系数矩阵coef进行 level 层重构， 得到重构矩阵rec
bool waveRec2(cv::Mat& rec, const std::deque<cv::Mat> &coef, const std::deque<cv::Vec2i> &scf, const string wname, const unsigned int level)
{
	// 输入有效性判断 
	if ( level < 1 )  // 图像分解层数 level >= 1
	{
		return false;
	}

	// 系数矩阵coef尺寸验证
	if (coef.size() != 3 * level + 1)
	{
		return false;
	}

	// 系数矩阵coef：空值 + 数据类型验证
	for (unsigned int i = 0; i < coef.size(); i++)
	{
		if (coef[i].empty() == true 
			|| (coef[i].type() != CV_64FC1))
		{
			return false;
		}
	}

	// scf尺寸验证
	if (scf.size() != level + 2)
	{
		return false;
	}

	// 数据正值判断
	for (unsigned int i = 0; i < scf.size(); i++)
	{
		if (scf[i][0] <= 0 || scf[i][1] <= 0)
		{
			return false;
		}
	}


	// 求出小波函数对应的重构滤波器组系数向量
	cv::Mat Lo_R; // 低频滤波器
	cv::Mat Hi_R; // 高频滤波器

	if (!getWaveRecFilter(Lo_R, Hi_R, wname))
	{
		return false;
	}

	// Lo_R 、Lo_R创建有效性验证
	if (Lo_R.empty() == true || Lo_R.empty() == true
		|| Lo_R.size != Hi_R.size)
	{
		return false;
	}

	cv::Mat tmp_rec; // 临时结果

	// 重构分量
	cv::Mat rcA; 
	cv::Mat rcV;
	cv::Mat rcH;
	cv::Mat rcD;

	// 获取低频分量
	coef[0].copyTo(rcA);

	for (unsigned  int i = 0; i < level; i++)
	{
		coef[i * 3 + 1].copyTo(rcV);
		coef[i * 3 + 2].copyTo(rcH);
		coef[i * 3 + 3].copyTo(rcD);

		// 二维小波逆变换
		bool ret = idwt2(tmp_rec, 
			rcA, rcV, rcH, rcD, 
			Lo_R, Hi_R, 
			scf[i + 2]); // 第i重构得到第i-1级低频

		// 二维小波逆变换结果
		if (ret == false)
		{
			return false;
		}
		else
		{
			tmp_rec.copyTo(rcA);  // 更新低频分量
		}
	}

	// 得到最终结果
	tmp_rec.copyTo(rec);

	return true;
}