P3P問題多解現(xiàn)象的普遍性
發(fā)布時(shí)間:2018-03-04 22:36
本文選題:PP問題 切入點(diǎn):多解現(xiàn)象 出處:《中國(guó)科學(xué):信息科學(xué)》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(gè)重要方向.本文從幾何觀點(diǎn)出發(fā),證明當(dāng)攝像機(jī)光心與3個(gè)控制點(diǎn)之間的距離相對(duì)比較大時(shí),對(duì)應(yīng)的P3P問題一般不可能存在唯一解,即一般至少存在兩個(gè)解可以同時(shí)滿足P3P問題的所有三個(gè)約束條件.本文的另一個(gè)貢獻(xiàn)是將P3P問題中"空間三個(gè)南瓜面的相交問題"通過"南瓜面與控制點(diǎn)平面交線之間的相交性"進(jìn)行判斷,給出了一種研究P3P問題多解現(xiàn)象的新思路和途徑.本文工作可望為P3P問題的研究和應(yīng)用人員提供一些參考價(jià)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(guó)科學(xué)院自動(dòng)化研究所;山東大學(xué)信息科學(xué)與工程學(xué)院;北方工業(yè)大學(xué)理學(xué)院;廈門理工學(xué)院計(jì)算機(jī)與信息工程學(xué)院;
【基金】:國(guó)家自然科學(xué)基金(批準(zhǔn)號(hào):61273290,61403373,61503004)資助項(xiàng)目
【分類號(hào)】:TP391.41
【相似文獻(xiàn)】
相關(guān)期刊論文 前1條
1 湯建良,蔣鯤;一類P3P問題求解算法研究[J];黑龍江大學(xué)自然科學(xué)學(xué)報(bào);2004年02期
,本文編號(hào):1567640
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