摘要
从实际计算的角度出发,研究了两平面二次曲线射影不变量,并对其进行了相应的几何解释,提出了相应的计算方法。首先从两二次型的不变量推导出两平面二次曲线的射影不变量,接着利用两平面二次曲线的共自极三角形给出了两平面二次曲线不变量的几何解释及计算方法。在此基础上,通过举例分析和实验验证,证明文中所给公式的正确性。
The object recognition based on the invariants is the most active research area in the computer vision. The conventional studies about invariants are that these invariants are derived for planar objects using points and lines from images. Nowadays, more and more interest comes from 3 D reconstruction based on the invariants of conics. The projective invariants of a pair of coplanar conics are studied from the perspective of computational proces- ses and the geometrically interpreted is proposed in this paper. The projective invariants of a pair of eoplanar conics are first defined from invariants of a pair of quadratic forms. Then the invariants are geometrically interpreted by using the common self-polar triangle of the two conics, and the algorithm is proposed in this paper. The result of example shows that this formula in this paper is correct on the basis of present studies.
出处
《机械科学与技术》
CSCD
北大核心
2012年第8期1354-1358,共5页
Mechanical Science and Technology for Aerospace Engineering
基金
陕西省教育厅科研计划项目(12JK0687)资助
关键词
计算机视觉
平面二次曲线
不变量
几何解释
computer vision
coplanar conics
invariant
geometric interpretation
