Constrained Fitting in Reverse Engineering

Abstract

This paper considers simultaneous fitting of multiple curves and surfaces to 3D measured data captured as part of a reverse engineering process, where constraints exist between the parameters of the curves or surfaces. Enforcing such constraints may be necessary (i) to produce models to su#ciently accurate tolerances for import into a CAD system, and (ii) to produce models which successfully reproduce regularities and symmetries required by engineering applications