Simplification and Regularization Algorithm for Right-Angled Polygon Building Outlines with Jagged Edges

Linghui Kong, Haizhong Qian, Yuqing Wu, Xinyu Niu, Di Wang, Zhekun Huang
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Abstract

Building outlines are important for emergency response, urban planning, and change analysis and can be quickly extracted from remote sensing images and raster maps using deep learning technology. However, such building outlines often have irregular boundaries, redundant points, inaccurate positions, and unclear turns arising from variations in the image quality, the complexity of the surrounding environment, and the extraction methods used, impeding their direct utility. Therefore, this study proposes a simplification and regularization algorithm for right-angled polygon building outlines with jagged edges. First, the minimum bounding rectangle of the building outlines is established and populated with a square grid based on the smallest visible length principle. Overlay analysis is then applied to the grid and original buildings to extract the turning points of the outlines. Finally, the building orientation is used as a reference axis to sort the turning points and reconstruct the simplified building outlines. Experimentally, the proposed simplification method enhances the morphological characteristics of building outlines, such as parallelism and orthogonality, while considering simplification principles, such as the preservation of the direction, position, area, and shape of the building. The proposed algorithm provides a new simplification and regularization method for right-angled polygon building outlines with jagged edges.
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具有锯齿状边缘的直角多边形建筑轮廓的简化和正则化算法
建筑物轮廓对于应急响应、城市规划和变化分析非常重要,可以利用深度学习技术从遥感图像和栅格地图中快速提取。然而,由于图像质量、周围环境的复杂性以及所使用的提取方法的不同,这些建筑轮廓往往存在边界不规则、冗余点、位置不准确、转折不清晰等问题,阻碍了其直接作用的发挥。因此,本研究针对具有锯齿状边缘的直角多边形建筑轮廓提出了一种简化和正则化算法。首先,根据最小可见长度原则确定建筑轮廓的最小边界矩形,并用正方形网格填充。然后对网格和原始建筑进行叠加分析,以提取轮廓的转折点。最后,以建筑物的朝向为参考轴,对转折点进行分类,重建简化后的建筑物轮廓。实验结果表明,所提出的简化方法在考虑简化原则(如保留建筑物的方向、位置、面积和形状)的同时,增强了建筑物轮廓的形态特征,如平行度和正交性。所提出的算法为具有锯齿状边缘的直角多边形建筑轮廓提供了一种新的简化和正则化方法。
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