使用Cplusplus,有4条曲线:已知每条曲线的中心线的点坐标集合(每两个点是顺序紧邻的)。 要求对曲线往两侧扩固定宽度,沿着曲线的中心线,对其拉直展开成一幅图,函数原型int teUnfoldCurve(const Mat& srcImage, const vector<TePoint>& vCurve, out Mat& dstImage, int iLineHeight)
时间: 2023-06-13 16:05:49 浏览: 51
这个问题可以分为几个步骤来解决:
1. 根据输入的点坐标集合,生成曲线的控制点集合。可以使用Bezier曲线或B样条曲线等进行插值。
2. 根据控制点集合生成曲线的离散点集合,可以通过采样等方式进行。
3. 对离散点集合进行扩展,即将每个点沿着法向方向移动一定距离。
4. 对扩展后的点集合按照顺序连接成多边形,并填充颜色。
5. 将多边形展开成一幅图像。
下面是一个可能的实现:
```C++
#include <opencv2/core.hpp>
#include <opencv2/imgproc.hpp>
using namespace cv;
using namespace std;
// 根据控制点集合生成曲线的离散点集合
vector<Point> getCurvePoints(const vector<Point>& controlPoints)
{
vector<Point> curvePoints;
for (double t = 0; t <= 1; t += 0.01) {
Point pt(0, 0);
for (int i = 0; i < controlPoints.size(); i++) {
double coef = binomialCoefficient(controlPoints.size() - 1, i) * pow(t, i) * pow(1 - t, controlPoints.size() - 1 - i);
pt.x += coef * controlPoints[i].x;
pt.y += coef * controlPoints[i].y;
}
curvePoints.push_back(pt);
}
return curvePoints;
}
// 计算组合数C(n,m)
int binomialCoefficient(int n, int m)
{
if (m < 0 || m > n) return 0;
if (m == 0 || m == n) return 1;
int res = 1;
for (int i = 1; i <= m; i++) {
res *= n - i + 1;
res /= i;
}
return res;
}
// 对离散点集合进行扩展
vector<Point> expandCurve(const vector<Point>& curvePoints, double width)
{
vector<Point> expandedPoints;
for (int i = 0; i < curvePoints.size(); i++) {
Point pt1 = curvePoints[i];
Point pt2 = curvePoints[(i + 1) % curvePoints.size()];
Point dir = pt2 - pt1;
Point norm(-dir.y, dir.x);
norm *= width / norm.ddot(norm);
expandedPoints.push_back(pt1 + norm);
}
for (int i = curvePoints.size() - 1; i >= 0; i--) {
Point pt1 = curvePoints[i];
Point pt2 = curvePoints[(i + curvePoints.size() - 1) % curvePoints.size()];
Point dir = pt2 - pt1;
Point norm(-dir.y, dir.x);
norm *= width / norm.ddot(norm);
expandedPoints.push_back(pt1 + norm);
}
return expandedPoints;
}
// 将点集合按照顺序连接成多边形,并填充颜色
void drawPolygon(Mat& img, const vector<Point>& points, const Scalar& color)
{
vector<vector<Point>> contours;
contours.push_back(points);
drawContours(img, contours, -1, color, FILLED);
}
// 将多边形展开成一幅图像
void unfoldPolygon(const Mat& srcImage, const vector<Point>& points, Mat& dstImage, int lineHeight)
{
Rect rect = boundingRect(points);
dstImage.create(Size(rect.width, points.size() * lineHeight), CV_8UC3);
dstImage.setTo(Scalar(255, 255, 255));
for (int i = 0; i < points.size(); i++) {
Point pt = points[i] - Point(rect.x, 0);
Mat roi = dstImage(Rect(pt.x, i * lineHeight, lineHeight, lineHeight));
srcImage(Rect(pt.x, pt.y, lineHeight, lineHeight)).copyTo(roi);
}
}
// 对曲线进行展开
int teUnfoldCurve(const Mat& srcImage, const vector<Point>& vCurve, Mat& dstImage, int iLineHeight)
{
vector<Point> curvePoints = getCurvePoints(vCurve);
vector<Point> expandedPoints = expandCurve(curvePoints, iLineHeight / 2.0);
drawPolygon(dstImage, expandedPoints, Scalar(0, 0, 0));
unfoldPolygon(srcImage, expandedPoints, dstImage, iLineHeight);
return 0;
}
```
需要注意的是,展开后的图像可能会存在较大的畸变,这时可以使用图像校正等技术进行修正。