APPROACH TO CONSTRAINTS IN MRA MODELING BASED ON VARIATIONAL PRINCIPLES

YIN Jinxiang  SHEN Libing  CHEN Guanlong  LIN Zhongqin

(School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200030)

Abstract: In order to solve the problem of constraints in MRA modeling, based on the principle of energy method to solve MRA constraints, the idea of wavelet constraints transform is proposed. Since B-spline curve/surface constraints can be de-noted by control points and different resolution control points can be expressed each other by wavelet transform, constraint condition in different resolution can be translated to a single resolution (high resolution), then based on MRA characters and energy method, at the beginning of optimization lowest resolution control points are used, and because of few control points in the lowest resolution, the speed of optimization is greatly improved.

Key words: MRA modeling Constraint Transformation Energy method

CLC No: TP391

国家高技术研究发展计划资助项目(863计划, 2001AA41140). Received 20060605, received in revised form 20061106