Hough变换的新定义

A NEW DEFINITION OF THE HOUGH TRANSFORM

本文的主要工作有以下三个方面：首先通过多方面分析，指出文献中Ｈｏｕｇｈ变换的模板匹配式定义是不完善的；其次我们发现Ｈｏｕｇｈ变换具有一种固有的概率特征，它和待处理的图像无关，但对Ｈｏｕｇｈ变换的性能有根本性的影响，为了描述这种概率特征，本文提出了曲线（曲面）密度函数的概念；最后基于上述两方面的分析，本文给出了Ｈｏｕｇｈ变换的一种新定义．

This paper mainly contributes the following 3-fold. Firstly, it is shownthat the template matching-like definitions of the present Hough transform are inadequate. Secondly, an inherent probabilistic aspect of the Hough transform is clarified, and a new term, namely curve (surface) density function, is introduced tocope with the undesirable effects coming from such a probabilistic aspect. Finally,a new definition of the Hough transform is proposed, which includes mainly theused parameterization and associated curve (surface) density function.