自然图像的采样后混叠控制

D. Florêncio, R. Schafer
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引用次数: 19

摘要

采样和重构通常在线性信号处理的框架下进行分析。强大的工具,如傅里叶变换和最佳线性滤波器设计技术,允许一个非常精确的分析过程。特别是,在大多数情况下,可以推导出任意长度的最优线性滤波器。许多这些工具不适用于非线性系统,通常很难在任何标准下找到最优的非线性系统。分析了用非线性滤波对下采样图像进行插值的可能性。他们表明,一个非常简单的(5/spl倍/5)非线性重建滤波器优于(对于分析的图像)高达256/spl倍/256的线性滤波器,包括任何尺寸的最佳(可分离的)维纳滤波器。
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Post-sampling aliasing control for natural images
Sampling and reconstruction are usually analyzed under the framework of linear signal processing. Powerful tools like the Fourier transform and optimum linear filter design techniques, allow for a very precise analysis of the process. In particular, an optimum linear filter of any length can be derived under most situations. Many of these tools are not available for non-linear systems, and it is usually difficult to find an optimum non-linear system under any criteria. The authors analyze the possibility of using non-linear filtering in the interpolation of subsampled images. They show that a very simple (5/spl times/5) non-linear reconstruction filter outperforms (for the images analyzed) linear filters of up to 256/spl times/256, including optimum (separable) Wiener filters of any size.
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