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So if I understand correctly you want to create top view as curves.
First you need to define your limits, one of these would be line(3) which is defining the widest point and the tangent at that point, the other would either be a mirror of this line defining the other width extreme point if the height is flexible, or it would be an arc defining the highest point and 90 degrees to line(3) and radius you want that sides minimum to be.
In either case then a bridge curve or spline constrained G1 between the two lines.
Maybe I did not understand what you wanted to do. If you create a top view that is curvature continuous at the touch point with the side view spline (like the rounded square you had previously) then the combined curve will be tangent at that point. If you top view is a circle and only tangent at the touch point to a curve in another plan then mathematically it will have a non tangent point there.
I'm sorry for not making the original question very clear.
... If you create a top view that is curvature continuous at the touch point with the side view spline (like the rounded square you had previously) then the combined curve will be tangent at that point. ...
I can't understand your statement very well. I think you mean that :
Then how would you create from scratch the "rounded square" with ≥G3 continuity at the touch point?
Thinking about this more I think it is the angle at which the spline comes in relative to the circle.
Think about it you changed the spline for a line and then with an arc. With a line you will get an ellipse, with the arc a parabola (I think) as the tangent angle of the arc or the angle of the line approaches 90 degrees to the circle plane your parabola will get more pointed. Close to 90, theoretically smooth but so sudden a change in direction and curvature that it is effectively a kink.
From my previous picture, I know definitely that it's possible to create a "Top View" curve, which along with the "Side View" would give a smooth "Combined" cure.
In my design, the "Side View" is ready, now I need to create and adjust the "Top View" to achieve the desired "Combined" curve. I don't choose to use "Front View" since the "Front View" can't capture some key details in my design.
In short, I know that a usable "Top View" curve is possible, but I can't create it myself.
If I understand your question correctly, you want the resultant curve (the combined one) not from your FV & SV, but from your TV & SV.
- If I need to creat "Top_View" from scratch and use it along with "Side_View" to build "Combined", what rule for creating "Top_View" need to be followed to make a smooth "Combined" without sharp corners?
Now to answer your question, you need a smooth curve (G1 or G2) in TV right exactly below the end points of the SV. This will give you 'smooth' 'combined' curve.
Also, your TV curve needs to be linear (how much you may ask? That's for you to decide) at the projection of end points of SV so that it has enough distance to just bend around the corner.
Let me know if this solves your issue.
Solid Edge 2019