PHYSICAL-BASED SHAPE PRESERVING

CURVE RECONSTRUCTION

TANG Kelun^1,2  ZHANG Xiangwei³ 
CHENG Siyuan³  XIONG Hanwei³  ZHANG Hong³

(1. College of Resource and Environmental Science, Chongqing University, Chongqing 400044;

2. Department of Electro-Mechanical Engineering, Sichuan University of Science & Engineer, Zigong 643033;

3. Faculty of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510090)

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:B-spline  Finite element method  Shape preservation  Curve reconstruction

CLC No: TP391

广东省自然科学基金(04105386,5300090)、四川省科技厅项目基金(04JY029-026-2)和四川省教育厅项目(2004A143)资助.Received 20050610,received in revised form 20051218