curved vs segmented
Curved wood shapes can be made in either of 3 ways.
1. Use wide stock and saw them out.
2. Use a bending form and laminate thin strips.
3. Make a steam bending "oven" and bend them over a form.
Segmented shapes are just straight pieces joined at the appropriate angle for the number of sides.... for example, 360 degrees divided by 6 sides, for instance is 60 degrees included and 30 degrees on each piece. This is easier in that it's less labor intensive.
Which design do you prefer?
The answer to your question will only be as detailed and specific as the question is detailed and specific. Good questions also include a sketch or a photo that illustrates your issue. (:< D)