基于空间几何约束的迭代聚类算法

Hang Yu, X. Yin, Rui Zhang, Chenyang Li, Haoran Jiang
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摘要

在视觉测量技术中,空间特征点质心的精确提取是保证基于特征点成像的视觉系统测量精度的关键。由于光点模糊、灰色影响、随机形状、灰色影响和建模限制,这项任务特别具有挑战性。目前的光斑中心提取方法每次只能提取单个光斑中心。对于图像中的多个光点,必须逐个人工提取它们的中心。本研究提出了一种基于空间几何约束的迭代聚类算法(SGCICA),并通过K-means算法实践自动提取多个光点的中心。考虑到聚类算法容易在特征空间中获取多个聚类中心,我们从两个方面将图像空间中的信息引入聚类算法中:(1)采用像素坐标作为聚类算法的特征,获取多个光点的中心;(2)在聚类算法的目标函数中定义光点之间的空间顺序和几何约束,保证实际LED目标的准确提取。在聚类特征空间中运行的SGCICA可以有效、自然地管理来自图像空间的信息。空间几何约束可以提高聚类结果的精度和鲁棒性。在实验中,利用合成数据和真实数据对该方法的抗噪性和提取精度进行了评价,并与现有的光点中心提取方法和聚类算法进行了比较。定性和定量测量表明,SGCICA提取的光斑中心精度保持在0.04像素以内,满足已知的阶数和空间几何约束。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Spatial Geometric Constraints based Iterative Clustering Algorithm
In visual measurement technology, the precise extraction of spatial feature points’ centroids is crucial to ensure the measurement accuracy of the visual system based on feature point imaging. This task is particularly challenging because of light spot blurring, gray influence, random shapes, gray impacting, and modeling limitations. The current extraction methods for light spot center can only extract single spot center at each time. As far as for multiple light spots in image, extracting their centers must be manually one by one. In this study, a spatial geometric constraints based on iterative clustering algorithm (SGCICA) is proposed and automatically extract multiple light spots’ centers through a K-means algorithm practice. Considering clustering algorithms can easily obtain multiple cluster centers in feature space, we introduce the information in image space into clustering algorithms from two aspects: (1) the pixel coordinate is adopted as the features for clustering algorithm to obtain the multiple light spots’ centers; (2) the spatial orders and geometric constraints among the spots are defined in the objective function of clustering algorithms to ensure the accurate extraction of actual LED targets. SGCICA operating in clustering feature space can effectively and naturally manage the information from image space. The spatial geometric constraints can improve the precision and the robustness of the clustering results. In experiments, the noise resistance and extraction precision of the proposed method are evaluated using synthetic and real data and compared with the existing light spot centers extraction methods and clustering algorithms. Both qualitative and quantitative measures indicate that the precision of the extracted light spot centers by SGCICA is kept within 0.04 pixels and satisfy the known order and spatial geometric constraints.
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