What are my options for interpolation of such data

Having dramatically different step sizes, and not 开发者_开发百科much data. We have data like >--4-6----3-9----4-7----9-3----4-1----> ( - is step here ) and in real life this data is looped in a circle. What polynomials/formulas can help me with interpolation of such data? Will Bezier work?

Fit Cublic Splines on each set. A single BeZier curve is not accurate enough (unless you know otherwise). Another option is Chebyschev Polynomials.