Adaptive Mathematical Morphology on Irregularly Sampled Signals in Two Dimensions

Teo Asplund, C. L. Hendriks, M. Thurley, R. Strand
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引用次数: 1

Abstract

Abstract This paper proposes a way of better approximating continuous, two-dimensional morphology in the discrete domain, by allowing for irregularly sampled input and output signals. We generalize previous work to allow for a greater variety of structuring elements, both flat and non-flat. Experimentally we show improved results over regular, discrete morphology with respect to the approximation of continuous morphology. It is also worth noting that the number of output samples can often be reduced without sacrificing the quality of the approximation, since the morphological operators usually generate output signals with many plateaus, which, intuitively do not need a large number of samples to be correctly represented. Finally, the paper presents some results showing adaptive morphology on irregularly sampled signals.
二维不规则采样信号的自适应数学形态学
摘要:本文提出了一种在离散域更好地逼近连续二维形态学的方法,该方法允许不规则采样的输入和输出信号。我们概括了以前的工作,以允许更多种类的结构元素,包括平面和非平面。实验结果表明,相对于连续形态的近似,我们在正则离散形态上得到了改进的结果。同样值得注意的是,通常可以在不牺牲近似质量的情况下减少输出样本的数量,因为形态学算子通常会产生具有许多平台的输出信号,直观地说,这并不需要大量的样本来正确表示。最后给出了对不规则采样信号的自适应形态学处理结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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