基于图像处理技术的太阳神鸟图几何结构分析

Geometric Structure Analysis of the Sun Bird Figure Based on Image Processing Technology

为揭示并破译太阳神鸟金箔图案可能存在的历史与文化内涵,利用图像处理技术对图案的几何结构进行定量研究和分析。首先,利用最小二乘法结合等角螺旋的数学表达式对图案内层弧形旋转芒纹进行拟合。其次,在猜想图案几何结构的基础上得到重构图形,利用弦点距离累积技术检测出图案所涉内、外两组角点,通过计算内、外圈角点到中心的径向距离相对于重构图形中两内切圆半径的误差平均值,定量验证相关猜想的合理性。实验结果显示:太阳神鸟图案内层的弧形旋转芒纹对应等角螺旋结构,内、外圈角点到中心的径向距离相对于重构图形中两内切圆半径的误差平均值都在5.3%以内,证明了图案与古代历法的关联性。

In order to reveal and decipher the possible historical and cultural connotations of the gold foil pattern of the Sun Bird,this paper proposes to use image processing techniques to conduct quantitative research and analysis of the geometric structure of the pattern.Firstly,the mathematical expression of the equiangular spiral combined with the least squares method is used to fit the arc-shaped rotating radiating pattern in the inner layer of the pattern.Secondly,based on the conjecture of the geometric structure of the pattern,a reconstructed shape is obtained.The chord point distance accumulation technique is used to detect two groups of inner and outer corner points involved in the pattern.By calculating the average error between the radial distance from the inner and outer circle points to the center relative to the radii of the two inscribed circles in the reconstructed shape,the rationality of the relevant conjecture is quantitatively verified.Experimental results show that the inner arc-shaped rotating radiating pattern of the Sun Bird corresponds to an equiangular spiral structure,and the average errors of the radial distances from the inner and outer circle points to the center relative to the radii of the two inscribed circles in the reconstructed shape are within 5.3%,demonstrating the correlation between the pattern and ancient calendars.