A Colour Hit-or-Miss Transform Based on a Rank Ordered Distance Measure
A Colour Hit-or-Miss Transform Based on a Rank Ordered Distance Measure
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DOI：
10.23919/eusipco.2018.8553050
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发表时间：
2018-09
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影响因子：
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通讯作者：
Fraser Macfarlane;P. Murray;S. Marshall;B. Perret;A. Evans;Henry White
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作者：
Fraser Macfarlane;P. Murray;S. Marshall;B. Perret;A. Evans;Henry White
击中或击不中变换（HMT）是一种功能强大的形态学运算，可用于许多数字图像分析问题。其原始的二进制定义及其对灰度图像的扩展已经应用于各种模板匹配和对象检测任务。然而，进一步扩展变换以合并彩色或多变量图像是有问题的，因为没有通用的或直观的方式来对数据进行排序，从而允许以传统方式对形态操作进行正式定义。在本文中，而不是遵循通常的策略数学形态学，基于定义的颜色空间中的总顺序，我们提出了一个变换，依赖于颜色或多元距离测量。与传统的HMT算子一样，我们提出的变换使用两个结构元素（SE）-一个用于前景，一个用于背景-并保留了这样的想法，即当前景SE与图像紧密匹配并且背景SE与图像互补匹配时，可以获得良好的拟合。这允许在对象检测中使用平坦和非平坦结构元素。此外，对计算出的距离进行排序操作允许操作者对噪声和对象的部分遮挡具有鲁棒性。
The Hit-or-Miss Transform (HMT) is a powerful morphological operation that can be utilised in many digital image analysis problems. Its original binary definition and its extension to grey-level images have seen it applied to various template matching and object detection tasks. However, further extending the transform to incorporate colour or multivariate images is problematic since there is no general or intuitive way of ordering data which allows the formal definition of morphological operations in the traditional manner. In this paper, instead of following the usual strategy for Mathematical Morphology, based on the definition of a total order in the colour space, we propose a transform that relies on a colour or multivariate distance measure. As with the traditional HMT operator, our proposed transform uses two structuring elements (SE) - one for the foreground and one for the background - and retains the idea that a good fitting is obtained when the foreground SE is a close match to the image and the background SE matches the image complement. This allows for both flat and non-flat structuring elements to be used in object detection. Furthermore, the use of ranking operations on the computed distances allows the operator to be robust to noise and partial occlusion of objects.