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G2 Continuity in Shapes

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Below is a picture of a project of mine. 

Screen Shot 2018-08-13 at 11.14.47 AM.png

My questions regard the first two surfaces (going from bottom to top) to the right of the highlighted surface. My first attempt at creating those surfaces were to use a single studio surface shown below, but, as you can see, this creates an extremely wonky surface when I try to put G2 constraints. 

Screen Shot 2018-08-13 at 11.26.51 AM.png

For my second attempt, I used fill surface, and this gave me much better results; the attempt is shown in the first image. However, (using the surface continuity analysis tool) this surface still gives me a G2 error that's out of tolerance. With some further manipulation using I-form, I found that the only way for me to get a G2 continuity within tolerance is to create the concave surface shown below.

Screen Shot 2018-08-13 at 11.08.55 AM.png

My quesitons are the following:

  1. Why is the studio surface such a poor fit? How can I determine when studio surface and through curve meshes are inapropriate for the geometry?
  2. Why is the concave surface within tolerance? Is there anyway for me to instinctively tell the curvature of the surrounding geometry?
  3. How would you recommend I best create this surface?

And finally, after examining some of the surfaces I've made using studio surface, I found that the amount of poles used is extremely high. Are there any techniques to reduce the number of poles before or after creating the surface?

Screen Shot 2018-08-13 at 11.48.18 AM.png


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