Would using the control points to define the center of mass help solve the s shaped curve issue. Make a polygon defined by the start, end, and control points. A

Would using the control points to define the center of mass help solve the s shaped curve issue. Make a polygon defined by the start, end, and control points. Also would then using separation axis theorem on close polygons give enough info for a very accurate, optimized curve blending. This method would probably benefit from a bit of hermite smoothing.