Nice work.
For those of you that think this is a compound curve you will have to practice thinking 3-D. This is a simple cone.
There are lots of ways to do this depending on your skill level and available tools. Drawing programs are also considered in the 'tools' category.
If you didn't have the knowledge and skill level of the computer program which I don't. I would have taken a different approach.
I would have built the back rest section first with a top and bottom and no front. Then mounted it on top of some crates or whatever to raise it off the floor and have the front edge overhanging the crates. then get the curves plywood and tack it temporarily across the front. Due to the conical shape, the ends of the plywood would be overhanging on the end below the bottom surface of the backrest and level with the bottom of the backrest at the center of the 'cone'. Take a marking gauge and mark along the top and bottom of the backrest and the ends of the backrest. Now remove the curved plywood and cut/trim to the lines. In reality, this make take two or 3 sections of plywood but that is how I would tackle it.