Study and analysis of the data of the architectural survey of Hagia Sophia

这项研究的目的是分析与该纪念碑上部结构内表面有关的摄影测量数据，与97年和98年对索菲亚圣殿的现场测量并行进行。就中央穹顶而言，我们的分析表明了以下几点，而对四个大拱门和两个鼓室的分析仍在进行中1)我们在穹顶重建期间切割的穹顶上表面的设置线由两条分段曲线组成，这两条曲线的中心是分开定位的，主要是由于第一个浅穹顶坍塌引起的向外倾斜和位移。设线弧线的位移和变形可分为两个部分：(1)由支撑结构沿同一方向移动引起的弧线自身向外的近似平行运动；(2)变形或偏离…在6世纪重建后，由于檐的变形，弧线本身产生了更多的离子。虽然Van Nice给出了与第一个点有关的值，但具有一定的不准确性，但我们的分析首次给出了第二个分量，它对于进一步考虑结构的变形历史是重要的。2)还分析了中央穹顶肋骨和垂直截面的形式特征，并将摄影测量的数字化数据与参考半圆进行了比较。在第六部分中，垂直剖面的形状在距地面53-55m的高度附近发生了明显的偏离。这种偏离显示了10世纪和14世纪崩溃的明显痕迹。这种偏差在南部更加明显，并在重建部分的边界变得明显。10世纪和14世纪的部分地区，随后在这些世纪的部分崩溃后重建，在截面形状上有明显的不同，因为它们的肋骨在45米的高度附近有一个不规则的波动。较少

The object of the research, carried on in parallel with the in-situ survey on the Hagia Sophia in 97 and 98, is to analyze the photogrammetric data relating to the inner surface of the upper structures of the monument. As far as the central dome is concerned, our analyses have shown the following points, while the analyses of the four great arches and two tympana are still in process.1) The setting lines as we see on the upper surface of the dome cornice, incised during the reconstruction of the dome in the 6th century, consists of two segmental curves, the centers of which were separately positioned due to the outward inclinations and displacements mainly caused by the collapse of the first shallow dome. The displacement and deformation of the arc of the setting lines can be divided into two components : (1)a approximately parallel movement of the arc itself toward the outside, caused by the movements of the supporting structure in the same direction, and (2) deformation or the deviat … More ion of the arcs themselves due to the deformation of the cornice after its reconstruction in the 6th century. While the values, though with certain inaccuracy, relating to the first point were given by Van Nice, our analyses have given for the first time the second component which is important for further consideration of the deformation history of the structure.2) The formal characteristics of the ribs and the vertical sections of the central dome has also been analyzed, comparing the digitized data of the photogrammetric survey with the reference semi-circle. In the 6th part, the shape of the vertical section deviates noticeably around the height of 53-55m from the ground level. The deviation shows the evident .trace of the collapse in the 10th and 14th century. The deviation is more clearly visible in the southern portion and becomes obvious toward the border of the reconstructed part. The portions of the 10th and 14th century, subsequently reconstructed after the partial collapse of these centuries, are markedly different in sectional shape in that their ribs have a irregular waving around the height of 45m. Less