The Computational methods of Invariants in the Mult-coplanar Conics
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摘要: 不变量是几何结构的本质描述,利用不变量进行物体识别、形状描述是计算机视觉中非常活跃的一个研究领域,其中图像中不变量特征的提取与构造是最终实现图像目标识别的关键技术之一。在基于目标不变量的复杂场景三维重建中,有时会遇到对多条共面二次曲线(二次曲线族)不变量的计算问题。从实际应用的角度出发,首先将二次曲线族表示为一个多变量矩阵,然后利用不变量理论研究二次曲线族不变量的计算方法,最后通过算法举例,给出了共面二次曲线族不变量的计算过程,并进行了算法验证。Abstract: The invariants are essential description of the geometric structure. The object recognition,Scene recon-struction by using the invariants are the most hot research areas in computer vision fields,in which the extraction and construction of images invariants are the key technologies of target recognition. Sometimes the invariants com-putational of several coplanar conics (ie,Mult-coplanar conics)may be encountered in the complex scene 3D reconstruction based on target invariants. First,the mult-coplanar conics can be represented by the multi-variable matrices,then the algorithm by using the invariants theory is proposed in this paper,finally the computational process and verification are presented on the basis of studies.
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Key words:
- object recognition /
- numerical methods /
- matrix algebra /
- computer vision
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