一类P3P问题求解算法研究  

Study on an algorithm for solving a class of P3P

作　　者：汤建良[1] 蒋鲲[2] 

机构地区：[1]深圳大学理学院,广东深圳518060 [2]黑龙江大学数学科学学院,黑龙江哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2004年第2期9-12,共4页Journal of Natural Science of Heilongjiang University

基　　金：国家基础研究发展规划项目(G19980306);数学天元青年基金资助项目(10226006)

摘　　要：Wu-Ritt零点分解方法被成功地运用于研究透视3点(P3P)问题,它给出了一类关于具有实际意义的、一定几何形状的几何物体的P3P方程系统的Wu-Ritt零点分解.这个Wu-Ritt零点分解更多地更深地提供了求解这类P3P问题方程系统解的信息,并为建立P3P问题的实时稳定算法提供了理论基础.基于Wu-Ritt零点分解,给出一个这类P3P方程系统的实时稳定求解算法,实验结果说明算法是准确和稳定的.Wu-Ritt's zero decomposition method has successfully been applied to study Perspective-Three-Problems(P3P), and it gives a Wu-Ritt's zero decomposition of a class of equation systems of P3P which describe some special and practical geometric configurations. The Wu-Ritt's zero decomposition provides more information about the class of equation systems of P3P and a theoretical fund of finding a real and stable algorithm for solving P3P. Based on the Wu-Ritt's zero decomposition, a real and stable algorithm for solving the class of equation systems of P3P is proposed. The accuracy and stability of the algorithm is presented by a numerical experiment.

关 键 词：吴零点分解方法 P3P问题方程系统 摄像机标定 

分 类 号：O29[理学—应用数学]