To make it easier to find the desired points in the new coordinate system, you can draw a labeled grid on top of the image while you’re working on it:
\documentclass[tikz]{standalone}
\begin{document}
\begin{tikzpicture}
\node[anchor=south west,inner sep=0] (image) at (0,0) {\includegraphics[width=0.9\textwidth]{some_image.jpg}};
\begin{scope}[x={(image.south east)},y={(image.north west)}]
\draw[red,ultra thick,rounded corners] (0.62,0.65) rectangle (0.78,0.75);
\end{scope}
\end{tikzpicture}
\end{document}
Image source: Wikipedia

May I ask how to draw grid on the top of the image?