Setting the canvas coordinate space width and height based on the browser client's dimensions requires you to resize and redraw whenever the browser is resized.
A less convoluted solution is to maintain the drawable dimensions in Javascript variables, but set the canvas dimensions based on the screen.width, screen.height dimensions. Use CSS to fit:
#containingDiv {
overflow: hidden;
}
#myCanvas {
position: absolute;
top: 0px;
left: 0px;
}
The browser window generally won't ever be larger than the screen itself (except where the screen resolution is misreported, as it could be with non-matching dual monitors), so the background won't show and pixel proportions won't vary. The canvas pixels will be directly proportional to the screen resolution unless you use CSS to scale the canvas.