旋转曲面的度量重构  

Metric reconstruction of revolution surface

作　　者：章权兵[1] 孙庆[1] 王磊[1] 程鸿[1] 

机构地区：[1]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230039

出　　处：《计算机工程与科学》2013年第8期109-113,共5页Computer Engineering & Science

基　　金：高等学校博士学科点专项科研基金优先发展领域项目(20113401130001);国家自然科学基金资助项目(60872106)

摘　　要：基于图像的三维重构是计算机视觉的重要研究内容之一。研究了由单幅未标定的旋转曲面图像进行三维重构的问题,改进了Colombo等人提出的同时进行三维重构和纹理获取的算法,对于其结构恢复提出了一种新方法:先根据平面透射求出图像视在轮廓线上每点对应的椭圆,再利用二次曲线的性质计算出该椭圆对应的旋转曲面的横截面在三维空间中的位置和尺寸,从而恢复整个旋转曲面。该方法重构过程更简单并且能很好地保持重构出的旋转曲面的整体结构。模拟实验和真实图像实验验证了算法的正确性和有效性。Three-dimension reconstruction based on images is one of important researches in comput- er vision. The reconstruction of single uncalibrated image of revolution surface is studied. The algorithm introduced by Colombo etc, which obtains three-dimension reconstruction and texture acquisition at the same time, is improved and a new approach of reconstruction is proposed. Firstly, plane transmission is used to compute the equation of the ellipse with respect to the point of image apparent contour line. Sec- ondly, the construction of the object is recovered by computing the location and size of each cross section of the revolution surface according to the property of quadratic curve. The method of the reconstruction process is simple and keeps the overall structure of the revolution surface more correct. Simulation and real image experiments demonstrate the correctness and validity of the algorithm.

关 键 词：旋转曲面 度量重构 相机标定 平面透射 绝对二次曲线 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]