Sensibility, relative error and error probability of projective invariants of planar surfaces of 3D objects

A. Sanfeliu, Á. Llorens, W. Emde
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引用次数: 1

Abstract

Presents the study of the sensibility, relative error and error probability of projective invariants of planar objects. The study is applied to configurations of groups of five points which define a planar object. The results are general for any type of projective invariant. The paper shows that given the precision (or tolerance) and the maximum allowed error probability, the sensibility and relative error can be used to decide the correct configurations for the matching procedure between the model and the projective view of a physical object. The last result is general for any type of geometric invariant.<>
三维物体平面投影不变量的敏感性、相对误差和误差概率
对平面物体投影不变量的敏感性、相对误差和误差概率进行了研究。该研究应用于定义平面物体的五点群的构型。结果对任何类型的射影不变量都是通用的。在给定精度(或公差)和最大允许误差概率的情况下,敏感性和相对误差可用于确定模型与实物投影视图匹配过程的正确配置。最后一个结果对于任何类型的几何不变量都是通用的。
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