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Application of the generalized l p/l q norm in blind deconvolution has shown good performance for retrieving sparse signals from noisy data. However, the capability of different l p/l q norms to regularize the blind deconvolution has been still less discussed, especially when p is chosen within (0, 1]. In this paper, we present a novel geometrical analysis on the generalized l p/l q norm and we also discuss the effects of different choices of p and q on the results of blind deconvolution. It is found that the generalized l p/l q norm can be factorized into a composition of two mappings and several important characteristics of the generalized l p/l q norm can be uncovered through these two mappings. Based on the findings in the geometrical property of the generalized l p/l q norm, several insights for the application of l p/l q norm to blind deconvolution are further discussed in the conclusions.