本文選題：PP問題　切入點：多解現象　出處：《中國科學:信息科學》2017年04期 　論文類型：期刊論文

【摘要】：P3P問題是一種重要的基于單幅圖像的物體定位方法,而多解性是P3P問題研究的一個重要方向.本文從幾何觀點出發(fā),證明當攝像機光心與3個控制點之間的距離相對比較大時,對應的P3P問題一般不可能存在唯一解,即一般至少存在兩個解可以同時滿足P3P問題的所有三個約束條件.本文的另一個貢獻是將P3P問題中"空間三個南瓜面的相交問題"通過"南瓜面與控制點平面交線之間的相交性"進行判斷,給出了一種研究P3P問題多解現象的新思路和途徑.本文工作可望為P3P問題的研究和應用人員提供一些參考價值.
[Abstract]:The P3P problem is an important object localization method based on a single image, and multi-solvability is an important research direction of the P3P problem. From the point of view of geometry, it is proved that when the distance between the camera center and the three control points is relatively large, It is generally impossible for the corresponding P3P problem to have a unique solution. That is to say, there are at least two solutions which can satisfy all three constraints of the P3P problem at the same time. Another contribution of this paper is that the "intersection problem of three pumpkin surfaces in space" in the P3P problem is intersected with the control point plane by "pumpkin surface". The intersections between lines are judged, A new way to study the phenomenon of multiple solutions to P3P problem is given. The work in this paper is expected to provide some reference value for the researchers and applicators of P3P problem.
【作者單位】： 中國科學院自動化研究所;山東大學信息科學與工程學院;北方工業(yè)大學理學院;廈門理工學院計算機與信息工程學院;
【基金】：國家自然科學基金(批準號:61273290,61403373,61503004)資助項目
【分類號】：TP391.41

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1 湯建良,蔣鯤;一類P3P問題求解算法研究[J];黑龍江大學自然科學學報;2004年02期

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