两平面二次曲线不变量的定义、几何解释及计算方法

张政武

两平面二次曲线不变量的定义、几何解释及计算方法

张政武

1.
陕西理工学院机械工程学院, 汉中 723003

基金项目:

陕西省教育厅科研计划项目(12JK0687)资助

详细信息

作者简介:
张政武(1969-)，副教授，硕士，研究方向为图学理论及计算机视觉，zhzhw256@163.com

计量
- 文章访问数: 177
- HTML全文浏览量: 20
- PDF下载量: 10
- 被引次数: 0
出版历程
- 收稿日期: 2011-04-25
- 刊出日期: 2015-06-10

Geometric Interpretation and Algorithm of the Invariants of A pair of Coplanar Conics

Zhang Zheng-wu

1.
Department of Mechanical Engineering, Shaanxi University of Technology, Hanzhong 723003

摘要

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。
- 计算机视觉 /
- 平面二次曲线 /
- 不变量 /
- 几何解释
Abstract: 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.
- computer vision /
- coplanar conics /
- invariant /
- geometric interpretation

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参考文献(13)

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