Fast Matching Algorithm for Sparse Star Points Based on Improved Delaunay Subdivision

Liu Yang, Miao Li, Xinpu Deng
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Abstract

The image under the starry sky background lacks texture detail information. It is difficult to use visual features such as regional features, shape to achieve image registration, and the star map structure may be unknown. To address these issues, this paper proposes a fast matching algorithm for sparse star points based on the Delaunay subdivision, which uses the geometric topological structure between the star points to solve the image transformation parameters and achieve accurate registration. Experimental results show that this method can still perform correct registration even in the presence of noise, target points, rotation, and translation, or lack of star points in the star map. The average registration error of 50 sets of simulated star maps is 0.4791 pixels, and the average registration time is 3.5386 s, which can meet the requirements of registration accuracy and speed, realizes the combination of mathematical methods and graphics.
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基于改进Delaunay细分的稀疏星点快速匹配算法
星空背景下的图像缺少纹理细节信息。难以利用区域特征、形状等视觉特征实现图像配准,星图结构可能未知。针对这些问题,本文提出了一种基于Delaunay细分的稀疏星点快速匹配算法,利用星点之间的几何拓扑结构求解图像变换参数,实现精确配准。实验结果表明,该方法在星图中存在噪声、目标点、旋转、平移或缺少星点的情况下仍能实现正确配准。50组模拟星图的平均配准误差为0.4791像素,平均配准时间为3.5386 s,可以满足配准精度和速度的要求,实现了数学方法与图形的结合。
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