Any way to use a custom Parameter for vimeo embed without using an iframe?

I am trying to get some oembed parameters attached to my Vimeo clips. I tried to get it going using the following two instructions:

• Passing Parameters to a Vimeo link in a WordPress Custom Field – LimeCanvas.com
• Any way to use a custom parameter for YouTube embed without using an iframe – WordPress.SE.com

Unfortunately what works for YouTube won’t work for Vimeo, as the returning URL has no such string as ?feature=oembed that I can make str_replace work on. It is just the video’s id at the end of the URL, which is random. I can make it work if I enter the exact ID of the clip to make str_replace look for.

Any idea how to make the function look for numbers and attach the parameters? An example clip would be

http://vimeo.com/14956293

and the oEmbed should be

//player.vimeo.com/video/14956293?color=FFFFFF&title=0&byline=0. 

As you can see here, there is another difference to YouTube. The arguments start with? and connects the arguments with &. Whereas YouTube begins with & and also connects the arguments with &.