Ignore margins and wrap text when adding pictures in Latex - latex

Question

I would like to add images in the top left/right or bottom left/right in a two-column page while ignoring the margins and having the text wrap around the picture. How can I also extend the solution to include half page images while ignoring the margins and with text wrapping.
I tried tikz package, but the text doesn't wrap around even when I use the wrapfig package.
For example, this is the code I used to insert image on the top left side of the page:
\documentclass[twocolumn, 12pt]{book}
\usepackage{lipsum}
\usepackage{tikz}
\begin{document}
\lipsum[1-3]
\begin{tikzpicture} [remember picture, overlay]
\node[anchor=north west,yshift=-1.5pt,xshift=1pt]%
at (current page.north west)
{\includegraphics[width=0.5\paperwidth,height=0.5\paperheight]{example.jpg}};
\end{tikzpicture}
\lipsum[1-3]
\end{document}
This results in the picture at the desired position, but the text is obscured behind the image. Thank you!

Answer 1

Not very pretty, but does the job I think (using geometry package only to get the correct values for top margin):
\documentclass[twocolumn, 12pt]{book}
\usepackage{lipsum}
\usepackage{tikz}
\usepackage{geometry}
\begin{document}
\begin{tikzpicture} [remember picture, overlay]
\node[anchor=north west]%
at (current page.north west)
{\includegraphics[width=0.46\paperwidth,height=0.5\paperheight]{example.png}};
\end{tikzpicture}
\vspace*{\dimexpr(0.5\paperheight-\voffset-1in-\headsep-\headheight)}
\lipsum[1-3]
\lipsum[1-3]
\end{document}