A Shannon sampling approach to form error estimation

Abstract

Form error estimation is a critical step in verifying that a product satisfies design specifications. It is demonstrated how Shannon sampling can be used to reconstruct surface profiles if they are treated as band-limited signals. To demonstrate its use in form estimation, a Shannon sampling series is applied to flatness error estimation for uniform sample points measured from five common machined surfaces. The results indicate that Shannon sampling provides superior performance over using points directly for estimation.