Due to the complexity of digital imaging targets and imaging conditions, fractal theory techniques in existing digital imaging systems still have various shortcomings. In this paper, a digital imaging processing method based on fractal theory is proposed for the first time. For X-ray images, the rapid calculation method of H-parameters is derived based on the fractional Brownian random field model. The H-parameters of X-ray images are calculated point by point. After that, all the singular points are connected, which is the edge of the defect in the image. We apply this method to analyze and process the X-ray images with defects such as missing joints, skins and hollows. Secondly, by means of fractal geometry, the contour slice measurement of the digital imaging space of this fractal is studied. The approximate index value is the digital imaging section profile dimension (D1 dimension) and the section shadow dimension (D2 dimension), so that the dimension determines the complexity of the form and detail of digital imaging. Finally, it can be seen from the experimental results that this method is effective and explores a new way for the development of digital imaging technology. At the same time, it is of great significance to the automatic pattern recognition of the application.

中文翻译：

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基于分形理论的数字成像及其空间维度

由于数字成像目标和成像条件的复杂性，现有数字成像系统中的分形理论技术仍存在诸多不足。本文首次提出了一种基于分形理论的数字图像处理方法。对于X射线图像，基于分数布朗随机场模型推导了H参数的快速计算方法。X 射线图像的 H 参数是逐点计算的。之后，所有的奇异点都连接起来，也就是图像中缺陷的边缘。我们应用这种方法对X射线图像进行分析和处理，这些图像存在缺接、蒙皮和空洞等缺陷。其次，利用分形几何，研究了该分形的数字成像空间的轮廓切片测量。近似的指标值为数字成像剖面轮廓尺寸（D1尺寸）和剖面阴影尺寸（D2尺寸），因此尺寸决定了数字成像形式和细节的复杂程度。最后，从实验结果可以看出，该方法是有效的，为数字成像技术的发展探索了一条新途径。同时，对应用程序的自动模式识别具有重要意义。