3D Coordinate System from Image

I have a picture I am trying to recreate as a 3D object (http://www.rrpicturearchives.net/pictures%5C56584%5CIMG_2366.JPG ). There are enough straight lines, etc. That I should be able to sketch and project onto planes, I'm just not sure how in SolidWorks. The Same could be done with some hard core geometry but there should be an easy way to fit lines to the sketch and then declare that as a coordinate system, right?

Thanks

Timothy

SolidworksDrawings And Detailing