CAJ | 학술논문

为研究古塔变形后的中心位置坐标，通过空间圆和空间球体，建立了基于三维坐标的空间圆拟合模型，提出计算古塔各层中心位置的通用方法。通过各层 Z 坐标的最值点和中值点，计算出对应层的空间平面方程，将剩余观测点数据作为检验数据，经过离差分析，得出了相同年份同层的8个观测点共面。采用牛顿插值得到了缺失数据，利用检验数据建立了空间球体方程。将空间平面和空间球体方程联立，得到了空间圆特征方程，进而分析出古塔各层的中心位置坐标。
위연구고탑변형후적중심위치좌표，통과공간원화공간구체，건립료기우삼유좌표적공간원의합모형，제출계산고탑각층중심위치적통용방법。통과각층 Z 좌표적최치점화중치점，계산출대응층적공간평면방정，장잉여관측점수거작위검험수거，경과리차분석，득출료상동년빈동층적8개관측점공면。채용우돈삽치득도료결실수거，이용검험수거건립료공간구체방정。장공간평면화공간구체방정련립，득도료공간원특정방정，진이분석출고탑각층적중심위치좌표。
In order to locate the coordinate of the tower center after deformation ,a spatial circle fitting model was estab-lished based on the 3-D coordinates of the spatial circle and spatial sphere .Moreover a universal method of calculating the center of each floor in the tower was developed .At first ,through the calculation of the maximum and intermediate value of coordinate Z ,the spatial plane equation of corresponding floor was deduced .The remaining data of the observa-tion points was used as test data to do a deviation analysis ,through which a coplane of 8 observation points on the same floor of the same year was obtained .And then Newton interpolation was applied to acquire the missing data .According to the test data ,the equation of the spatial sphere was established ,and the characteristic equation of the spatial circle was derived by combining the the spatial plane equation with the spatial sphere equation ,through which the center coordinate of each floor in the ancient tower was determined .