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This paper describes the improvement of our fingerprint core detection method using the extended relational graph. The improved approach can detect both of the core and the delta to analyze both of the core loop and the delta loop in the extended relational graph. Furthermore to reduce the computation time, each difference of the ridge direction on the boundary along the loop is used to detect the fingerprint core except the approximated straight lines generated by the boundary information in the extended relational graph. In our experiments, the core and the delta were successfully extracted in 95.6 % of the 224 samples. The processing time was reduced by 6 % from the previous approach.