基于有界性乘积函数的倾斜摄影三维模型地物高度几何精度降低算法

An Algorithm for Geometric Accuracy Reduction of Terrain Height in Oblique Photogrammetry 3D Models Based on Bounded Product Functions

倾斜摄影三维模型的几何精度降低技术对高精数据安全至关重要,但现有研究主要针对二维数据,难以满足三维模型的精度降低需求。该文基于倾斜摄影三维模型几何精度降低特征,提出一种有界性乘积函数地物高度几何精度降低算法。该算法利用有界函数的连续性和任意阶可导性特征,确保数据变形保持平滑、连续和渐变,可有效避免大规模数据突变,维持空间形态的一致性;同时,通过引入三角函数的周期性特性,进一步增强算法的鲁棒性。实验结果表明,该算法能有效控制数据精度降低,确保精度可控性,并能维持数据的空间形态,满足数据可用性要求,且具有较高的安全性,有利于数据安全共享。

The geometric accuracy reduction of 3D models derived from oblique photogrammetry is crucial for the security of high-precision data.However,the existing research predominantly focuses on 2D data,which is difficult to meet the demand of 3D model accuracy reduction.This paper proposes a bounded product function-based algorithm for reducing the geometric accuracy of terrain heights in oblique photogrammetry 3D models.The algorithm leverages the continuity and differentiability at any order of bounded functions to ensure that data deformation remains smooth,continuous,and gradual,which effectively avoids large-scale abrupt changes and maintains consistency of the spatial form of data.Additionally,by incorporating the periodicity of trigonometric functions,the robustness of the proposed algorithm is further enhanced.Experimental results demonstrate that the proposed algorithm can effectively control the reduction of data precision.At the same time,the algorithm can maintain the spatial form of data and meet the requirements of data availability,and the algorithm has high security and is conducive to the security disclosure of data.