【摘要】 数字图像的预处理是高层计算机视觉所必须经历的阶段,图像滤波处理和图像的伸缩变换是极其常用的两种基本的图像预处理方法.本文从热传导滤波与伸缩变换的次序关系这着手,主要从数学角度,经过严密的数学逻辑推理得出了热传导滤波处理与伸缩变换在图像处理中交换处理次序时各参数所应满足的关系,并进一步给出了试验结果.从而让读者深刻的理解到在图像处理过程中热传导滤波处理与伸缩变换不可轻易交换次序的数学原理,以便在实际问题中遇到这两种处理时能正确的理解和应用.更多还原

【Abstract】 Heat equation filter is a new widely used method in image processing area because of its excellent ability between denoise and edge preservation.Filtering and scale transformation are two important operations during the image processing.Little attention is paid to the order of them in usual projects.In this paper we suggest the differences while we process an image using these two operations with different orders.Instead only showing the fact,we also proof the conclusions though mathematical theory.We show,in particular,that the relationship of the filter parameters in these two different processing orders.Experimental results are shown on a number of images at the end of the paper.更多还原