This article establishes some theoretical results about the maximum function of probability density functions ( $$f_{\max }$$ ) and the integration of $$f_{\max }$$ ( $$If_{\max }$$ ). Using the probability density function extracted from the image as a relatively stable feature of the image and $$If_{\max }$$ as a measure the similarity between a “face” candidate region and a group of training face images, we propose a new face detection method, one of the most challenging tasks related to image analysis. The experiments demonstrate the competitiveness of the proposed method, especially in the case of rotated images. It also shows potential in real application of the researched problem.

中文翻译：

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一种利用概率密度函数最大函数的人脸检测新方法

本文建立了关于概率密度函数的极大函数（ $$f_{\max }$$ ）和 $$f_{\max }$$ （ $$If_{\max }$$ ）的积分的一些理论结果。使用从图像中提取的概率密度函数作为图像的相对稳定特征，$$If_{\max }$$ 作为“人脸”候选区域与一组训练人脸图像之间相似度的度量，我们提出了一个新的人脸检测方法，与图像分析相关的最具挑战性的任务之一。实验证明了所提出方法的竞争力，尤其是在旋转图像的情况下。它还显示了所研究问题在实际应用中的潜力。