}%DIFDELCMD < [%%% n%DIFDELCMD < ]\to[n] %%% that minimizes \sum_{i=1^n |p_ix-b_{\pi(i)}|^z. (ii) Points-to-Lines alignment: Given n }  lines \ell_1,\cdots,\ell_n on the plane  , compute the matching \pi:[n]\to[n] and alignment (rotation matrix R and a translation vector t) that minimize the sum of Euclidean distances %DIFDELCMD < \[ i=1^n dist(Rp_i-t,\pi(i))^z \] %%% ^n \mathrm{dist}(Rp_i-t,\ell_{\pi(i)})^z } between each point to its corresponding line.
<fluency> }%DIFDELCMD < [%%% n%DIFDELCMD < ]\to[n] %%% that minimizes \sum_{i=1^n |p_ix-b_{\pi(i)}|^z. (ii) Points-to-Lines alignment: Given n }  lines \ell_1,\cdots,\ell_n on the plane  , compute the matching \pi:[n]\to[n] and alignment (rotation matrix R and a translation vector t) that minimize the sum of Euclidean distances %DIFDELCMD < \[ i=1^n dist(Rp_i-t,\pi(i))^z \] %%% ^n \mathrm{dist}(Rp_i-t,\ell_{\pi(i)})^z } between each point to its corresponding line.
}%DIFDELCMD < [%%% n%DIFDELCMD < ]\to[n] %%% that minimizes \sum_{i=1^n |p_ix-b_{\pi(i)}|^z. (ii) Points-to-Lines alignment: Given n } lines \ell_1,\cdots,\ell_n on the plane , compute the matching \pi:[n]\to[n] and alignment (rotation matrix R and a translation vector t) that minimize the sum of Euclidean distances %DIFDELCMD < \[ i=1^n dist(Rp_i-t,\pi(i))^z \] %%% \sum_{i=1^n \mathrm{dist}(Rp_i-t,\ell_{\pi(i)})^z } between each point to its corresponding line.