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It is well-known that the Hilbert transform (HLT) is useful for generating the analytic signal, and saving the bandwidth required in communication. However, it is known by less people that the HLT is also a useful tool for edge detection. In this paper, we introduce the generalized radiant Hilbert transform (GRHLT), and illustrate how to use it for edge detection. The GRHLT is the general form of the two-dimensional HLT. Together with some techniques (such as section dividing and shorterdoi:10.1109/icassp.2003.1199484 dblp:conf/icassp/PeiD03 fatcat:7bf6qbfqjvcahlhtj6hadz5oxa