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样条函数由于其计算简单,便于数字计算机进行数值计算而在各个工程领域内广泛地得到应用。在连续图像的离散化数字处理中,由于图像数据量非常巨大,使用样条函数进行内插和平滑可以得到计算简化的好处。本文初步讨论这方面应用的可能性。本文所述及的范围还比较小,只是试论用样条函数来估计图像离散化和再现过程中的误差;用样条函数进行数据压缩的一种简便方法;和用样条函数对图像随机噪声进行平滑处理等几个方面。
Spline function is widely used in various engineering fields due to its simple calculation and convenient numerical calculation by digital computer. In discrete digital processing of continuous images, the benefits of computational simplicity can be gained by using spline functions for interpolation and smoothing due to the large amount of image data. This article tentatively discusses the possibility of application in this area. The scope described in this paper is still relatively small, just try to use spline function to estimate the image discretization and the error in the process of reproduction; a simple method of data compression with spline function; and spline function to randomize the image Noise smoothing and several other aspects.