Properties of Image Edge Enhancement Using Radial Hilbert Transform

陈君 Chen Jun, 崔祥霞 CUI Xiangxia, 肖静 XIAO Jing, 杨兆华 YANG Zhaohua, 刘婷婷 LIU Tingting · ACTA PHOTONICA SINICA · 2011

The properties of edge enhancement for different marginal distribution density image based on radial Hilbert transform with a spiral phase filter were studied.The analytical expression to describe the point spread function of a finite-radius spiral phase filter with topological charge n=1 was given and the edge enhancement for different marginal distribution image such as circular aperture,Chinese character and portraits were simulated.The results show that the edge enhanced images using radial Hilbert transform have three-dimensional relief effect,and the more intensive marginal distribution of input image,the more significant relief effect.Theoretical analysis found that this property derives from convolution between the input image and subsidiary maximum in the point spread function.This conclusion will be beneficial as a way for image processing.

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