Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems

Solving the Perspective-Three-Point Problem Using Comprehensive Grobner Systems
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使用综合 Grobner 系统解决透视三点问题

DOI:
10.1007/s11424-015-4310-y
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发表时间:
2016
影响因子:
2.1
通讯作者:
Wang Dingkang
Wang Dingkang
中科院分区:
数学3区
文献类型:
--
作者:
Zhou Jie;Wang Dingkang

文献摘要

相似文献

A complete solution classification of the perspective-three-point (P3P) problem is given by using the Gröbner basis method. The structure of the solution space of the polynomial system deduced by the P3P problem can be obtained by computing a comprehensive Gröbner system. Combining with properties of the generalized discriminant sequences, the authors give the explicit conditions to determine the number of distinct real positive solutions of the P3P problem. Several examples are provided to illustrate the effectiveness of the proposed conditions.