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Efficient solution to the 3D problem of automatic wall paintings reassembly

机译:有效解决自动壁画重新组装的3D问题

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This paper introduces a new approach for the automated reconstruction- reassembly of fragmented objects having one surface near to plane, on the basis of the 3D representation of their constituent fragments. The whole process starts by 3D scanning of the available fragments. The obtained representations are properly processed so that they can be tested for possible matches. Next, four novel criteria are introduced, that lead to the determination of pairs of matching fragments. These criteria have been chosen so as the whole process imitates the instinctive reassembling method dedicated scholars apply. The first criterion exploits the volume of the gap between two properly placed fragments. The second one considers the fragments' overlapping in each possible matching position. Criteria 3,4 employ principles from calculus of variations to obtain bounds for the area and the mean curvature of the contact surfaces and the length of contact curves, which must hold if the two fragments match. The method has been applied, with great success, both in the reconstruction of objects artificially broken by the authors and, most importantly, in the virtual reassembling of parts of wall paintings belonging to the Mycenaic civilization (c.1300 BC), excavated in a highly fragmented condition in Tyrins, Greece
机译:本文介绍了一种新方法,该方法可以自动重构-重新组装具有一个表面接近平面的碎片对象,该方法基于其组成碎片的3D表示。整个过程从3D扫描可用片段开始。正确处理了获得的表示,以便可以测试它们是否匹配。接下来,介绍了四个新颖的​​标准,这些标准可以确定成对的匹配片段。选择这些标准是为了使整个过程模仿专门学者应用的本能重组方法。第一个标准利用了两个正确放置的片段之间的间隙量。第二个考虑片段在每个可能的匹配位置的重叠。准则3,4利用变化演算中的原理来获得接触面的面积和平均曲率以及接触曲线的长度的界限,如果两个片段匹配,则界限必须成立。该方法已成功应用于作者人工破坏的物体的重建,最重要的是,属于迈锡尼文明(约公元前1300年)的壁画部分的虚拟重新组装。希腊蒂林斯的高度零散的状况

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