Schulze M A, Pearce J A
Biomedical Engineering Program, University of Texas, Austin 78712.
Biomed Sci Instrum. 1993;29:227-34.
Mathematical morphology is a set algebra that defines some important new techniques in image processing. Morphological filters are closely related to order statistic and other nonlinear filters, but they are uniquely sensitive to shape. A morphological filter will preserve shapes similar to its structuring element shape while modifying dissimilar shapes. Most morphological filters are effective at removing both linear and nonlinear noise processes. However, the standard morphological operators introduce a statistical and deterministic bias to images. Fortunately, these operators exist in complementary pairs that are equally and oppositely biased. One way to alleviate the bias is to average the two complementary operators. The filters formed by such averages are the midrange filter (basic operators), the pseudomedian filter (singly compound operators) and the LOCO filter (doubly compound operators). In thermographic imaging, one often wishes to find exact temperatures or accurate isothermal contours. Therefore, techniques used to remove sensor noise and scanning artifact should not introduce bias. The LOCO filter that we have devised provides the shape control and noise suppression of morphological techniques without biasing the image. We will demonstrate the effects of different structuring element shapes on thermographic images of tissue heated by laser irradiation and electrosurgery.
数学形态学是一种集合代数,它在图像处理中定义了一些重要的新技术。形态学滤波器与顺序统计及其他非线性滤波器密切相关,但它们对形状具有独特的敏感性。形态学滤波器在修改不同形状的同时,会保留与其结构元素形状相似的形状。大多数形态学滤波器在去除线性和非线性噪声过程方面都很有效。然而,标准的形态学算子会给图像引入统计和确定性偏差。幸运的是,这些算子以互补对的形式存在,其偏差大小相等、方向相反。减轻偏差的一种方法是对两个互补算子求平均值。由这种平均值形成的滤波器有中值滤波器(基本算子)、伪中值滤波器(单重复合算子)和LOCO滤波器(双重复合算子)。在热成像中,人们常常希望找到精确的温度或准确的等温线轮廓。因此,用于去除传感器噪声和扫描伪影的技术不应引入偏差。我们设计的LOCO滤波器在不使图像产生偏差的情况下,提供了形态学技术的形状控制和噪声抑制功能。我们将展示不同结构元素形状对激光照射和电外科手术加热组织的热成像图像的影响。