Hi Peter, you can definitely get some better results with this with a bit more careful placement of your curves.

For example right off the bat I can see from a side view there is a pretty big gap between your curves:



Network will construct a surface even if there is a gap like this, but it gets kind of averaged between all the pieces, you will get better accuracy and control if you make your pieces touch.

Also even probably a bigger problem is that some of your curves meet each other in a creased manner instead of meeting smoothly. Here is a view from the front:



The yellow line there is the tangent line of your curve there - notice how it is slanted off a few degrees from horizontal? That means that your curves meet each other in sharp point there, that will certainly contribute to making your surface meet in a sharp crease since they will follow the curves.

I'll see if I can make some recommendations for how to approach this and make a smooth piece out of it.

- Michael