1：标定算法
vector_to_hom_mat2d(Px, Py, Qx, Qy, HomMat2D)
这里参考了halcon算子块的官方文档，使用的是最小二乘法，求HomMat2D矩阵。 -常用九点标定，求两个坐标系的坐标转换。。
下面个人实现原理，结果和上面算子算出来的结果一致，知识有限，仅供学习交流。
1：先来看一张图，图中矩阵为2行3列，最后一列为0,0,1；因为用到是齐次矩阵，所以展开就省略了。具体为什么是这样的矩阵形式，其实是一系列的变换，也就是平面二维仿射变换。
2：然后使用最小二乘法列出项（最小平方法）
其次在对每个未知量进行求偏导，图中是两个未知量，就是列出两个方程组，如果是三个未知量，那就是三个方程组
三个未知量进行求导，得出来的结果就是对应矩阵里的未知量。。
3：上面方法都是笔记上演示，如果放在程序里怎么做呢？用上面这种怎么求未知量呢？下面会有个人实现的源代码，这里求方程组使用克拉默法则，列出行列式进行求解，放在代码里，方便求解。
正确的做法就是求各个未知量的系数，比如：
4：核心代码演示
//保存从界面获取的坐标数据
struct _coordList{
QList<QPair<double,double>> pixPoines;//保存像素坐标
QList<QPair<double,double>> physicsPoines;//保存物理坐标
};
//保存最小二乘法三个未知量(a,b,c)的结果
struct _squareLaw{
double aa=0;
double bb=0;
double cc=0;
double ab=0;
double ac=0;
double bc=0;
double _a=0;
double _b=0;
double _c=0;
};
//导数3x4
struct _differentialCoefficient{
QList<double> diff_a;
QList<double> diff_b;
QList<double> diff_c;
};
//矩阵3X3
struct _mat{
double a=0;
double b=0;
double c=0;
double d=0;
double e=0;
double f=0;
double g=0;
double h=0;
double i=0;
};
//标定
_mat MainWindow::calibration(_coordList coordL)
{
//保存未知量（a,b,c）的系数
_squareLaw squareLaw_x;
_squareLaw squareLaw_y;
for(int i=0;i<coordL.pixPoines.count();i++) {
squareLaw_x.aa += pow(coordL.pixPoines.at(i).first,2)*2;
squareLaw_x.bb += pow(coordL.pixPoines.at(i).second,2)*2;
squareLaw_x.cc += 1*2;
squareLaw_x.ab += coordL.pixPoines.at(i).first*coordL.pixPoines.at(i).second*2;
squareLaw_x.ac += coordL.pixPoines.at(i).first*2;
squareLaw_x.bc += coordL.pixPoines.at(i).second*2;
squareLaw_x._a += coordL.pixPoines.at(i).first*coordL.physicsPoines.at(i).first*2;
squareLaw_x._b += coordL.pixPoines.at(i).second*coordL.physicsPoines.at(i).first*2;
squareLaw_x._c += coordL.physicsPoines.at(i).first*2;
}
for(int i=0;i<coordL.pixPoines.count();i++) {
squareLaw_y.aa += pow(coordL.pixPoines.at(i).first,2)*2;
squareLaw_y.bb += pow(coordL.pixPoines.at(i).second,2)*2;
squareLaw_y.cc += 1*2;
squareLaw_y.ab += coordL.pixPoines.at(i).first*coordL.pixPoines.at(i).second*2;
squareLaw_y.ac += coordL.pixPoines.at(i).first*2;
squareLaw_y.bc += coordL.pixPoines.at(i).second*2;
squareLaw_y._a += coordL.pixPoines.at(i).first*coordL.physicsPoines.at(i).second*2;
squareLaw_y._b += coordL.pixPoines.at(i).second*coordL.physicsPoines.at(i).second*2;
squareLaw_y._c += coordL.physicsPoines.at(i).second*2;
}
//求导数 3元方程组系数
_differentialCoefficient diff_x;
_differentialCoefficient diff_y;
diff_x.diff_a.append(squareLaw_x.aa);
diff_x.diff_a.append(squareLaw_x.ab);
diff_x.diff_a.append(squareLaw_x.ac);
diff_x.diff_a.append(squareLaw_x._a);
diff_x.diff_b.append(squareLaw_x.ab);
diff_x.diff_b.append(squareLaw_x.bb);
diff_x.diff_b.append(squareLaw_x.bc);
diff_x.diff_b.append(squareLaw_x._b);
diff_x.diff_c.append(squareLaw_x.ac);
diff_x.diff_c.append(squareLaw_x.bc);
diff_x.diff_c.append(squareLaw_x.cc);
diff_x.diff_c.append(squareLaw_x._c);
diff_y.diff_a.append(squareLaw_y.aa);
diff_y.diff_a.append(squareLaw_y.ab);
diff_y.diff_a.append(squareLaw_y.ac);
diff_y.diff_a.append(squareLaw_y._a);
diff_y.diff_b.append(squareLaw_y.ab);
diff_y.diff_b.append(squareLaw_y.bb);
diff_y.diff_b.append(squareLaw_y.bc);
diff_y.diff_b.append(squareLaw_y._b);
diff_y.diff_c.append(squareLaw_y.ac);
diff_y.diff_c.append(squareLaw_y.bc);
diff_y.diff_c.append(squareLaw_y.cc);
diff_y.diff_c.append(squareLaw_y._c);
//解方程 使用克莱默法则解方程
//a11a22a33+a12a23a31+a13a21a32 −a13a22a31−a11a23a32−a12a21a33
double D_x,Da,Db,Dc, D_y,Dd,De,Df;
D_x = diff_x.diff_a.at(0)*diff_x.diff_b.at(1)*diff_x.diff_c.at(2) + diff_x.diff_a.at(1)*diff_x.diff_b.at(2)*diff_x.diff_c.at(0) +diff_x.diff_a.at(2)*diff_x.diff_b.at(0)*diff_x.diff_c.at(1)
-diff_x.diff_a.at(2)*diff_x.diff_b.at(1)*diff_x.diff_c.at(0) - diff_x.diff_a.at(0)*diff_x.diff_b.at(2)*diff_x.diff_c.at(1) -diff_x.diff_a.at(1)*diff_x.diff_b.at(0)*diff_x.diff_c.at(2);
Da = diff_x.diff_a.at(3)*diff_x.diff_b.at(1)*diff_x.diff_c.at(2) + diff_x.diff_a.at(1)*diff_x.diff_b.at(2)*diff_x.diff_c.at(3) +diff_x.diff_a.at(2)*diff_x.diff_b.at(3)*diff_x.diff_c.at(1)
-diff_x.diff_a.at(2)*diff_x.diff_b.at(1)*diff_x.diff_c.at(3) - diff_x.diff_a.at(3)*diff_x.diff_b.at(2)*diff_x.diff_c.at(1) -diff_x.diff_a.at(1)*diff_x.diff_b.at(3)*diff_x.diff_c.at(2);
Db = diff_x.diff_a.at(0)*diff_x.diff_b.at(3)*diff_x.diff_c.at(2) + diff_x.diff_a.at(3)*diff_x.diff_b.at(2)*diff_x.diff_c.at(0) +diff_x.diff_a.at(2)*diff_x.diff_b.at(0)*diff_x.diff_c.at(3)
-diff_x.diff_a.at(2)*diff_x.diff_b.at(3)*diff_x.diff_c.at(0) - diff_x.diff_a.at(0)*diff_x.diff_b.at(2)*diff_x.diff_c.at(3) -diff_x.diff_a.at(3)*diff_x.diff_b.at(0)*diff_x.diff_c.at(2);
Dc = diff_x.diff_a.at(0)*diff_x.diff_b.at(1)*diff_x.diff_c.at(3) + diff_x.diff_a.at(1)*diff_x.diff_b.at(3)*diff_x.diff_c.at(0) +diff_x.diff_a.at(3)*diff_x.diff_b.at(0)*diff_x.diff_c.at(1)
-diff_x.diff_a.at(3)*diff_x.diff_b.at(1)*diff_x.diff_c.at(0) - diff_x.diff_a.at(0)*diff_x.diff_b.at(3)*diff_x.diff_c.at(1) -diff_x.diff_a.at(1)*diff_x.diff_b.at(0)*diff_x.diff_c.at(3);
D_y = diff_y.diff_a.at(0)*diff_y.diff_b.at(1)*diff_y.diff_c.at(2) + diff_y.diff_a.at(1)*diff_y.diff_b.at(2)*diff_y.diff_c.at(0) +diff_y.diff_a.at(2)*diff_y.diff_b.at(0)*diff_y.diff_c.at(1)
-diff_y.diff_a.at(2)*diff_y.diff_b.at(1)*diff_y.diff_c.at(0) - diff_y.diff_a.at(0)*diff_y.diff_b.at(2)*diff_y.diff_c.at(1) -diff_y.diff_a.at(1)*diff_y.diff_b.at(0)*diff_y.diff_c.at(2);
Dd = diff_y.diff_a.at(3)*diff_y.diff_b.at(1)*diff_y.diff_c.at(2) + diff_y.diff_a.at(1)*diff_y.diff_b.at(2)*diff_y.diff_c.at(3) +diff_y.diff_a.at(2)*diff_y.diff_b.at(3)*diff_y.diff_c.at(1)
-diff_y.diff_a.at(2)*diff_y.diff_b.at(1)*diff_y.diff_c.at(3) - diff_y.diff_a.at(3)*diff_y.diff_b.at(2)*diff_y.diff_c.at(1) -diff_y.diff_a.at(1)*diff_y.diff_b.at(3)*diff_y.diff_c.at(2);
De = diff_y.diff_a.at(0)*diff_y.diff_b.at(3)*diff_y.diff_c.at(2) + diff_y.diff_a.at(3)*diff_y.diff_b.at(2)*diff_y.diff_c.at(0) +diff_y.diff_a.at(2)*diff_y.diff_b.at(0)*diff_y.diff_c.at(3)
-diff_y.diff_a.at(2)*diff_y.diff_b.at(3)*diff_y.diff_c.at(0) - diff_y.diff_a.at(0)*diff_y.diff_b.at(2)*diff_y.diff_c.at(3) -diff_y.diff_a.at(3)*diff_y.diff_b.at(0)*diff_y.diff_c.at(2);
Df = diff_y.diff_a.at(0)*diff_y.diff_b.at(1)*diff_y.diff_c.at(3) + diff_y.diff_a.at(1)*diff_y.diff_b.at(3)*diff_y.diff_c.at(0) +diff_y.diff_a.at(3)*diff_y.diff_b.at(0)*diff_y.diff_c.at(1)
-diff_y.diff_a.at(3)*diff_y.diff_b.at(1)*diff_y.diff_c.at(0) - diff_y.diff_a.at(0)*diff_y.diff_b.at(3)*diff_y.diff_c.at(1) -diff_y.diff_a.at(1)*diff_y.diff_b.at(0)*diff_y.diff_c.at(3);
_mat mat;
mat.a = Da/D_x;
mat.b = Db/D_x;
mat.c = Dc/D_x;
mat.d = Dd/D_y;
mat.e = De/D_y;
mat.f = Df/D_y;
mat.g = 0;
mat.h = 0;
mat.i = 1;
return mat;
}
完整代码实现xxx.h
#ifndef MAINWINDOW_H
#define MAINWINDOW_H
#include <QMainWindow>
class QTableWidgetItem;
QT_BEGIN_NAMESPACE
namespace Ui { class MainWindow; }
QT_END_NAMESPACE
//保存从界面获取的坐标数据
struct _coordList{
QList<QPair<double,double>> pixPoines;//保存像素坐标
QList<QPair<double,double>> physicsPoines;//保存物理坐标
};
//保存最小二乘法三个未知量(a,b,c)的结果
struct _squareLaw{
double aa=0;
double bb=0;
double cc=0;
double ab=0;
double ac=0;
double bc=0;
double _a=0;
double _b=0;
double _c=0;
};
//导数3x4
struct _differentialCoefficient{
QList<double> diff_a;
QList<double> diff_b;
QList<double> diff_c;
};
//矩阵3X3
struct _mat{
double a=0;
double b=0;
double c=0;
double d=0;
double e=0;
double f=0;
double g=0;
double h=0;
double i=0;
};
class MainWindow : public QMainWindow
{
Q_OBJECT
public:
MainWindow(QWidget *parent = nullptr);
~MainWindow();
_mat calibration(_coordList);//标定
private slots:
void on_pushButton_clicked();
void on_pushButton_2_clicked();
void on_tableWidget_itemChanged(QTableWidgetItem *item);
//void on_tableWidget_itemDoubleClicked(QTableWidgetItem *item);
void on_pushButton_3_clicked();
private:
Ui::MainWindow *ui;
QString old_text;
};
#endif // MAINWINDOW_H
xxx.cpp
#include "mainwindow.h"
#include "ui_mainwindow.h"
#include <QTableWidgetItem>
#include <QMessageBox>
#include <QTableWidgetItem>
#include <QFileDialog>
#include <QDebug>
MainWindow::MainWindow(QWidget *parent)
: QMainWindow(parent)
, ui(new Ui::MainWindow)
{
ui->setupUi(this);
//设置列数
ui->tableWidget->setColumnCount(4);
//设置标题
//表头标题用QStringList来表示
QStringList headerText;
headerText<<"像素X坐标"<<"像素Y坐标"<<"物理X坐标"<<"物理Y坐标";
ui->tableWidget->setHorizontalHeaderLabels(headerText);
old_text = "";
}
MainWindow::~MainWindow()
{
delete ui;
}
//设置n点标定
void MainWindow::on_pushButton_clicked()
{
//获取标定的个数
quint32 transitionCount = ui->spinBox->value();
int oldRow = ui->tableWidget->rowCount();
//设置行数
ui->tableWidget->setRowCount(transitionCount);
int newRow = ui->tableWidget->rowCount();
//生成表格，默认值为0
if(newRow>oldRow) {
for(int i = oldRow;i<newRow;i++) {
for (int j=0;j<4;j++) {
ui->tableWidget->setItem(i,j,new QTableWidgetItem("0"));
}
}
}
}
//标定
_mat MainWindow::calibration(_coordList coordL)
{
//保存未知量（a,b,c）的系数
_squareLaw squareLaw_x;
_squareLaw squareLaw_y;
for(int i=0;i<coordL.pixPoines.count();i++) {
squareLaw_x.aa += pow(coordL.pixPoines.at(i).first,2)*2;
squareLaw_x.bb += pow(coordL.pixPoines.at(i).second,2)*2;
squareLaw_x.cc += 1*2;
squareLaw_x.ab += coordL.pixPoines.at(i).first*coordL.pixPoines.at(i).second*2;
squareLaw_x.ac += coordL.pixPoines.at(i).first*2;
squareLaw_x.bc += coordL.pixPoines.at(i).second*2;
squareLaw_x._a += coordL.pixPoines.at(i).first*coordL.physicsPoines.at(i).first*2;
squareLaw_x._b += coordL.pixPoines.at(i).second*coordL.physicsPoines.at(i).first*2;
squareLaw_x._c += coordL.physicsPoines.at(i).first*2;
}
for(int i=0;i<coordL.pixPoines.count();i++) {
squareLaw_y.aa += pow(coordL.pixPoines.at(i).first,2)*2;
squareLaw_y.bb += pow(coordL.pixPoines.at(i).second,2)*2;
squareLaw_y.cc += 1*2;
squareLaw_y.ab += coordL.pixPoines.at(i).first*coordL.pixPoines.at(i).second*2;
squareLaw_y.ac += coordL.pixPoines.at(i).first*2;
squareLaw_y.bc += coordL.pixPoines.at(i).second*2;
squareLaw_y._a += coordL.pixPoines.at(i).first*coordL.physicsPoines.at(i).second*2;
squareLaw_y._b += coordL.pixPoines.at(i).second*coordL.physicsPoines.at(i).second*2;
squareLaw_y._c += coordL.physicsPoines.at(i).second*2;
}
//求导数 3元方程组系数
_differentialCoefficient diff_x;
_differentialCoefficient diff_y;
diff_x.diff_a.append(squareLaw_x.aa);
diff_x.diff_a.append(squareLaw_x.ab);
diff_x.diff_a.append(squareLaw_x.ac);
diff_x.diff_a.append(squareLaw_x._a);
diff_x.diff_b.append(squareLaw_x.ab);
diff_x.diff_b.append(squareLaw_x.bb);
diff_x.diff_b.append(squareLaw_x.bc);
diff_x.diff_b.append(squareLaw_x._b);
diff_x.diff_c.append(squareLaw_x.ac);
diff_x.diff_c.append(squareLaw_x.bc);
diff_x.diff_c.append(squareLaw_x.cc);
diff_x.diff_c.append(squareLaw_x._c);
diff_y.diff_a.append(squareLaw_y.aa);
diff_y.diff_a.append(squareLaw_y.ab);
diff_y.diff_a.append(squareLaw_y.ac);
diff_y.diff_a.append(squareLaw_y._a);
diff_y.diff_b.append(squareLaw_y.ab);
diff_y.diff_b.append(squareLaw_y.bb);
diff_y.diff_b.append(squareLaw_y.bc);
diff_y.diff_b.append(squareLaw_y._b);
diff_y.diff_c.append(squareLaw_y.ac);
diff_y.diff_c.append(squareLaw_y.bc);
diff_y.diff_c.append(squareLaw_y.cc);
diff_y.diff_c.append(squareLaw_y._c);
//解方程 使用克莱默法则解方程
//a11a22a33+a12a23a31+a13a21a32 −a13a22a31−a11a23a32−a12a21a33
double D_x,Da,Db,Dc, D_y,Dd,De,Df;
D_x = diff_x.diff_a.at(0)*diff_x.diff_b.at(1)*diff_x.diff_c.at(2) + diff_x.diff_a.at(1)*diff_x.diff_b.at(2)*diff_x.diff_c.at(0) +diff_x.diff_a.at(2)*diff_x.diff_b.at(0)*diff_x.diff_c.at(1)
-diff_x.diff_a.at(2)*diff_x.diff_b.at(1)*diff_x.diff_c.at(0) - diff_x.diff_a.at(0)*diff_x.diff_b.at(2)*diff_x.diff_c.at(1) -diff_x.diff_a.at(1)*diff_x.diff_b.at(0)*diff_x.diff_c.at(2);
Da = diff_x.diff_a.at(3)*diff_x.diff_b.at(1)*diff_x.diff_c.at(2) + diff_x.diff_a.at(1)*diff_x.diff_b.at(2)*diff_x.diff_c.at(3) +diff_x.diff_a.at(2)*diff_x.diff_b.at(3)*diff_x.diff_c.at(1)
-diff_x.diff_a.at(2)*diff_x.diff_b.at(1)*diff_x.diff_c.at(3) - diff_x.diff_a.at(3)*diff_x.diff_b.at(2)*diff_x.diff_c.at(1) -diff_x.diff_a.at(1)*diff_x.diff_b.at(3)*diff_x.diff_c.at(2);
Db = diff_x.diff_a.at(0)*diff_x.diff_b.at(3)*diff_x.diff_c.at(2) + diff_x.diff_a.at(3)*diff_x.diff_b.at(2)*diff_x.diff_c.at(0) +diff_x.diff_a.at(2)*diff_x.diff_b.at(0)*diff_x.diff_c.at(3)
-diff_x.diff_a.at(2)*diff_x.diff_b.at(3)*diff_x.diff_c.at(0) - diff_x.diff_a.at(0)*diff_x.diff_b.at(2)*diff_x.diff_c.at(3) -diff_x.diff_a.at(3)*diff_x.diff_b.at(0)*diff_x.diff_c.at(2);
Dc = diff_x.diff_a.at(0)*diff_x.diff_b.at(1)*diff_x.diff_c.at(3) + diff_x.diff_a.at(1)*diff_x.diff_b.at(3)*diff_x.diff_c.at(0) +diff_x.diff_a.at(3)*diff_x.diff_b.at(0)*diff_x.diff_c.at(1)
-diff_x.diff_a.at(3)*diff_x.diff_b.at(1)*diff_x.diff_c.at(0) - diff_x.diff_a.at(0)*diff_x.diff_b.at(3)*diff_x.diff_c.at(1) -diff_x.diff_a.at(1)*diff_x.diff_b.at(0)*diff_x.diff_c.at(3);
D_y = diff_y.diff_a.at(0)*diff_y.diff_b.at(1)*diff_y.diff_c.at(2) + diff_y.diff_a.at(1)*diff_y.diff_b.at(2)*diff_y.diff_c.at(0) +diff_y.diff_a.at(2)*diff_y.diff_b.at(0)*diff_y.diff_c.at(1)
-diff_y.diff_a.at(2)*diff_y.diff_b.at(1)*diff_y.diff_c.at(0) - diff_y.diff_a.at(0)*diff_y.diff_b.at(2)*diff_y.diff_c.at(1) -diff_y.diff_a.at(1)*diff_y.diff_b.at(0)*diff_y.diff_c.at(2);
Dd = diff_y.diff_a.at(3)*diff_y.diff_b.at(1)*diff_y.diff_c.at(2) + diff_y.diff_a.at(1)*diff_y.diff_b.at(2)*diff_y.diff_c.at(3) +diff_y.diff_a.at(2)*diff_y.diff_b.at(3)*diff_y.diff_c.at(1)
-diff_y.diff_a.at(2)*diff_y.diff_b.at(1)*diff_y.diff_c.at(3) - diff_y.diff_a.at(3)*diff_y.diff_b.at(2)*diff_y.diff_c.at(1) -diff_y.diff_a.at(1)*diff_y.diff_b.at(3)*diff_y.diff_c.at(2);
De = diff_y.diff_a.at(0)*diff_y.diff_b.at(3)*diff_y.diff_c.at(2) + diff_y.diff_a.at(3)*diff_y.diff_b.at(2)*diff_y.diff_c.at(0) +diff_y.diff_a.at(2)*diff_y.diff_b.at(0)*diff_y.diff_c.at(3)
-diff_y.diff_a.at(2)*diff_y.diff_b.at(3)*diff_y.diff_c.at(0) - diff_y.diff_a.at(0)*diff_y.diff_b.at(2)*diff_y.diff_c.at(3) -diff_y.diff_a.at(3)*diff_y.diff_b.at(0)*diff_y.diff_c.at(2);
Df = diff_y.diff_a.at(0)*diff_y.diff_b.at(1)*diff_y.diff_c.at(3) + diff_y.diff_a.at(1)*diff_y.diff_b.at(3)*diff_y.diff_c.at(0) +diff_y.diff_a.at(3)*diff_y.diff_b.at(0)*diff_y.diff_c.at(1)
-diff_y.diff_a.at(3)*diff_y.diff_b.at(1)*diff_y.diff_c.at(0) - diff_y.diff_a.at(0)*diff_y.diff_b.at(3)*diff_y.diff_c.at(1) -diff_y.diff_a.at(1)*diff_y.diff_b.at(0)*diff_y.diff_c.at(3);
_mat mat;
mat.a = Da/D_x;
mat.b = Db/D_x;
mat.c = Dc/D_x;
mat.d = Dd/D_y;
mat.e = De/D_y;
mat.f = Df/D_y;
mat.g = 0;
mat.h = 0;
mat.i = 1;
return mat;
}
//执行标定
void MainWindow::on_pushButton_2_clicked()
{
_coordList coordL;
//获取界面坐标数据
for(int i=0;i<ui->tableWidget->rowCount();i++) {
QPair<double,double> pairPix;
QPair<double,double> pairPhy;
for(int j=0;j<4;j++) {
switch (j) {
case 0:
pairPix.first = ui->tableWidget->item(i,j)->text().toDouble();
break;
case 1:
pairPix.second = ui->tableWidget->item(i,j)->text().toDouble();
break;
case 2:
pairPhy.first = ui->tableWidget->item(i,j)->text().toDouble();
break;
case 3:
pairPhy.second = ui->tableWidget->item(i,j)->text().toDouble();
break;
default:
break;
}
}
coordL.pixPoines.append(pairPix);
coordL.physicsPoines.append(pairPhy);
}
//执行标定，获取结果
_mat mat = calibration(coordL);
//显示标定结果
ui->textEdit->append(QString::number(mat.a,'e',15)+" , "+QString::number(mat.b,'e',15)+" , "+QString::number(mat.c,'e',15));
ui->textEdit->append(QString::number(mat.d,'e',15)+" , "+QString::number(mat.e,'e',15)+" , "+QString::number(mat.f,'e',15));
ui->textEdit->append(QString::number(mat.g)+" , "+QString::number(mat.h)+" , "+QString::number(mat.i));
ui->textEdit->append("\r\n");
}
//item没有字符时，双击触发
void MainWindow::on_tableWidget_itemChanged(QTableWidgetItem *item)
{
//2、匹配正负整数、正负浮点数
QString Pattern("(-?[1-9][0-9]+)|(-?[0-9])|(-?[1-9]\\d+\\.\\d+)|(-?[0-9]\\.\\d+)");
QRegExp reg(Pattern);
//3.获取修改的新的单元格内容
QString str=item->text();
if(str.isEmpty()) {
return;
}
//匹配失败，返回原来的字符
if(!reg.exactMatch(str)){
QMessageBox::information(this,"匹配失败","请输入小数和整数!");
item->setText("0"); //更换之前的内容
}
//1、记录旧的单元格内容
old_text = item->text();
}
//打开文件-》从文件读取坐标
void MainWindow::on_pushButton_3_clicked()
{
QString fileName = QFileDialog::getOpenFileName(this,tr("文件对话框！"), "",tr("文件(*.csv *.txt)"));
if(!fileName.isEmpty()) {
QFile file(fileName);
quint32 line=0;
if(file.open(QIODevice::ReadOnly|QIODevice::Text)) {
for (;;) {
QString data = file.readLine();
if(data.isEmpty()) {
QMessageBox::information(this,"完成","数据读取完成!");
return;
}
QStringList sL = data.split(",");
if(sL.count()!=4) {
QMessageBox::information(this,"错误","请确定每行数据为4个并且以,分割!");
return;
}
for(int i=0;i<sL.count();i++) {
bool isOk;
sL.at(i).toDouble(&isOk);
sL.at(i).toULongLong(&isOk);
if(isOk) {
//设置行数
ui->tableWidget->setRowCount(line+1);
ui->tableWidget->setItem(line,i,new QTableWidgetItem(sL.at(i)));
}else {
QMessageBox::information(this,"错误","数据转换double失败!");
}
}
line++;
}
}
}
}
文章来源：https://www.toymoban.com/news/detail-586905.html
2：外部链接
最小二乘法
仿射变换
克拉默法则
行列式计算方法
2D坐标系下的点的转换矩阵文章来源地址https://www.toymoban.com/news/detail-586905.html
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