I would like to buffer a set of lines with different distances to the NW, SW, SE, and NE. I have the distances stored in four attribute fields that correspond to the direction the buffer should be applied in. I have reviewed the two posts How to buffer a line with different distances for left/right sides and QGIS buffer polygon with different widths on each side but they do not fully address my issue. My lines do not flow East to West or North to South so the right/left side buffer option does not offer a solution.
Edit:I have attached a rough rendering of what I would like the output to be. The edges should be smooth.