结合宁波灵桥因火灾变形结构的测定与三维重建,探讨了变形结构的精密测定方法以及根据离散点三维坐标测量结果,基于Delaunay三角剖分和三角形三次方程插值的理论和方法,重建变形体表面三维曲面,并给出反映其变形大小的2-D、3-D图。结果表明,该方法能够检测并表达变形体的形变大小,且拟合曲面光滑。
According to limited discrete datum points, a surface fitting method based on Matlab 6.5 for the deformation body is put forward. The steps of this method are, first, applying Delaunay triangulation on the irregular data, then, finding the nearest triangle of every interpolation points (Xi, Yi ) and interpolating this surface at the points to produce Zi based on the theory and method of triangle-based cubic interpolation. The results indicate that with this method the 3-D surface of the deformation body can be reconstructed, and the fitting surface is smooth.