\begin{document}$ x=\pm \,\xi $\end{document}, when considering the effect of the contact contribution term, generalized parton distributions become not continuous at \begin{document}$ x=\pm \,\xi $\end{document} in all the four regularization schemes. Generalized parton distributions in impact parameter space are considered, the width distribution of u quark in the pion and the mean-squared \begin{document}$ \langle {\boldsymbol{b}}_{\bot}^2\rangle_{\pi}^u $\end{document} are calculated. The light-front transverse-spin distributions are studied when quark polarized in the light-front-transverse \begin{document}$ +\,x $\end{document} direction, the transverse-spin density is no longer symmetric around \begin{document}$ (b_x=0,b_y=0) $\end{document}, the peaks shift to \begin{document}$ (b_x=0,b_y>0) $\end{document}, we compare the average transverse shift \begin{document}$ \langle b_{\bot}^y\rangle_1^u $\end{document} and \begin{document}$ \langle b_{\bot}^y\rangle_2^u $\end{document} in different regularization schemes. The light-cone energy radius \begin{document}$ r_{E,LC} $\end{document} and the light-cone charge radius \begin{document}$ r_{c,LC} $\end{document} are also evaluated, we found that in the proper time regularization scheme the values of these quantities were the largest, in the 3D momentum cutoff scheme they were the smallest."> Regularization dependence of pion generalized parton distributions -
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