Charge exchange process ${\ensuremath{\pi}}^{\ensuremath{-}}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}n$ and elastic scatterings ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p$ are investigated within the Regge framework where the relativistic Born amplitude is Reggeized for the $t$-channel meson exchange. The charge exchange cross section is featured by single $\ensuremath{\rho}$ exchange. Additional corrections by Regge cuts, $\ensuremath{\rho}\text{\ensuremath{-}}{f}_{2}$ and $\ensuremath{\rho}$-Pomeron, agree with differential cross sections, and a new trajectory for the ${\ensuremath{\rho}}^{\ensuremath{'}}(1450)$ exchange is attempted to reproduce polarization data. For the description of elastic scattering data up to pion momentum ${P}_{\mathrm{Lab}}\ensuremath{\approx}250$ GeV/c, Pomeron exchange of the Donnachie-Landshoff type is newly constructed and applied in this work. Elastic cross section data are well reproduced with the dominance of ${f}_{2}$ and Pomeron exchanges in intermediate and high energies. Analysis of nucleon resonances is presented to test the validity of the present Regge framework below $W\ensuremath{\le}2$ GeV.