关键词: 非统一有理B样条曲面, 能量优化, 几何特征, 形状修改

Abstract: NURBS surfaces are one of the most crucial techniques in surface modeling，which has extensive applications in various aspects of CAGD/CG.This paper is devoted to the shape modification of NURBS surfaces，in which a method based on energy optimization is proposed.Specifically，geometric features（such as position，partial derivative or normal vector） of the selected parametric points on a given NURBS surface are modified，by minimizing the strain energy of the error surface.The numerical examples show that this method can realize miscellaneous modification effects and is convenient for interactive design.

Key words: Non-Uniform Rational B-Splines（NURBS） surfaces, energy optimization, geometric features, shape modification