Vertical alignment of subfigures LATEX

Question

I am working on my thesis and I am struggling with placing 2 images next to each other, so that the second image would be centered vertically along the first one. I was also try

Answer 1

My method is using square minipage which centers its contents:

\begin{figure}
\subfloat[Figure a]{%
\begin{minipage}[c][1\width]{0.5\textwidth}%
\includegraphics[clip,width=1\textwidth]{figurea}%
\end{minipage}}\subfloat[Figure b]{\centering{}%
\begin{minipage}[c][1\width]{0.5\textwidth}%
\begin{center}
\includegraphics[clip,width=0.6\textwidth]{figureb}
\par\end{center}%
\end{minipage}}
\caption{main caption}
\end{figure}

This code was generated by LyX, however, so it's a bit ugly.