基于草图的网格曲面变形算法  

Mesh deformation method based on sketch

作　　者：陈保宇[1] 李际军[1] 

机构地区：[1]浙江大学计算机学院,浙江杭州310027

出　　处：《计算机集成制造系统》2010年第6期1168-1174,共7页Computer Integrated Manufacturing Systems

基　　金：国家863计划资助项目(2006AA04Z106)~~

摘　　要：为了对网格模型进行控制,提出了一种基于草图线和轮廓线的网格曲面变形技术。首先,通过提取模型的侧影轮廓线或在曲面上绘制初始草图线生成变形区域的初始控制线;然后,对原草图线临近区域进行微分特性的操作,或者绘制一条新的草图线以映射初始控制线;最终利用改进的离散拉普拉斯算子建立线性方程组并采用最小二乘法求解,实现变形。这一变形技术较为直观,方便用户对变形效果的控制,在自主开发的软件平台上进行了测试,验证了其效果和工程可行性。A method of mesh deformation based on the sketch line and the silhouette was proposed to control mesh model.The original control line was generated by extracting the silhouette from the mesh model or drawing an original sketch line on the mesh surface.Operations on differential factors were utilized in the neighborhood of the original control line,or a new sketch line was drawn as the destination control line to map the original one.Linear equations were established by using discrete Laplacian operator with appropriate weights,which was resolved by means of the least square approximation to finish the procedure of mesh deformation.The effectiveness and engineering feasibility of this method were verified on the self-developed software platform.

关 键 词：草图 轮廓线 拉普拉斯算子 网格曲面变形 最小二乘法 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]