Abstract: Fusion of various data is an effective way to im- prove the precision and efficiency of data acquiring in reverse engineering. A method of physical-based shape preserving curve reconstruction is proposed to better realize the data fusion of coordinate measuring machine(CMM) and visual information. From the principle of materials mechanics, the strain energy of curve corresponding to the distortion is advanced as the internal energy, and the elastic potential energy of curve is established, using few precise measured data point as the equilibrium position, to be the external energy. Based on principle of variation calculus, the basic spline finite element method(B-spline FEM) is used to determine the equilibrium position of curve deformation. Numerical simulation indicates that there is an extremely good agreement between the new fitted curve and the real curve.

Key words: Curve reconstruction, Shape preservation, B-spline, Finite element method, Computational fluid dynamics, Damping, Oil supply conditions, Squeeze film damper