摘要翻譯:
在平面和空間中,我們對3個點(diǎn)和3個正射相機(jī)進(jìn)行了非線性Ullman變換的反演。當(dāng)Ullman定理保證了3個攝像機(jī)和4個點(diǎn)的唯一模反射重建時,我們發(fā)現(xiàn)了3個攝像機(jī)和3個點(diǎn)的局部唯一重建。顯式重建公式允許判斷三個攝像機(jī)看到三個點(diǎn)的圖像數(shù)據(jù)是否可以實(shí)現(xiàn)為點(diǎn)-攝像機(jī)配置。
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英文標(biāo)題:
《On Ullman's theorem in computer vision》
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作者:
Oliver Knill and Jose Ramirez-Herran
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最新提交年份:
2007
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分類信息:
一級分類:Computer Science 計算機(jī)科學(xué)
二級分類:Computer Vision and Pattern Recognition 計算機(jī)視覺與模式識別
分類描述:Covers image processing, computer vision, pattern recognition, and scene understanding. Roughly includes material in ACM Subject Classes I.2.10, I.4, and I.5.
涵蓋圖像處理、計算機(jī)視覺、模式識別和場景理解。大致包括ACM課程I.2.10、I.4和I.5中的材料。
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一級分類:Computer Science 計算機(jī)科學(xué)
二級分類:Artificial Intelligence 人工智能
分類描述:Covers all areas of AI except Vision, Robotics, Machine Learning, Multiagent Systems, and Computation and Language (Natural Language Processing), which have separate subject areas. In particular, includes Expert Systems, Theorem Proving (although this may overlap with Logic in Computer Science), Knowledge Representation, Planning, and Uncertainty in AI. Roughly includes material in ACM Subject Classes I.2.0, I.2.1, I.2.3, I.2.4, I.2.8, and I.2.11.
涵蓋了人工智能的所有領(lǐng)域,除了視覺、機(jī)器人、機(jī)器學(xué)習(xí)、多智能體系統(tǒng)以及計算和語言(自然語言處理),這些領(lǐng)域有獨(dú)立的學(xué)科領(lǐng)域。特別地,包括專家系統(tǒng),定理證明(盡管這可能與計算機(jī)科學(xué)中的邏輯重疊),知識表示,規(guī)劃,和人工智能中的不確定性。大致包括ACM學(xué)科類I.2.0、I.2.1、I.2.3、I.2.4、I.2.8和I.2.11中的材料。
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英文摘要:
Both in the plane and in space, we invert the nonlinear Ullman transformation for 3 points and 3 orthographic cameras. While Ullman's theorem assures a unique reconstruction modulo a reflection for 3 cameras and 4 points, we find a locally unique reconstruction for 3 cameras and 3 points. Explicit reconstruction formulas allow to decide whether picture data of three cameras seeing three points can be realized as a point-camera configuration.
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PDF鏈接:
https://arxiv.org/pdf/0708.2438