基于单双幅图曲线曲面特征点的透视反求及拟合

Reverse Perspective and Fitting of Curve and Surface Feature Points based on Single or Double Pictures

透视反求是为了从图片获取一定的信息,从而建立物体的三维模型。利用透视图由世界坐标系经过平移、旋转和缩放基本矩阵变换到观察坐标系的原理,推导出单幅透视图和双幅透视图透视反求的方法,分别用这2种基本方法反求出透视图片中特征点的坐标,然后再用这些特征点的坐标来完成重建物体的三维模型。并以单幅透视图和双幅透视图中曲线、曲面特征点为例进行了Bezier曲线、曲面的拟合。利用C++平台的OpenGL(开放性计算机图形库)库得到的试验结果表明该算法实际吻合情况较好。

Reverse Perspective is the technology that obtains information from the pictures, so as to establish the three-- dimensional model of object. By using the principle that the perspective drawing is transformed into viewing coordinates by translating, rotating and scaling the basic matrix from the world coordinates, the methods of reserve perspective in single or double pictures perspective drawing were deduced. And then the coordinates of these characteristics points in these perspec rive drawing were calculated with these two basic methods. After that the three--dimensional model is re--established by these coordinates of these characteristics points. The characteristics points of curve and surface were fitted by Beizer fitting of curves and surface in single or double perspective drawing. The experimental results, which are obtained by the OpenGL （Open Graphics Library） library of C＋ ＋, verify that the algorithm can greatly agree with actual condition.