三维复杂曲面的手绘生成方法  

Composite Surface Generation from Sketchy Drawing

作　　者：刘凯[1,2] 孙正兴[1,2] 张尧烨[1,2] 

机构地区：[1]南京大学计算机软件新技术国家重点实验室,南京210093 [2]南京大学计算机科学与技术系,南京210093

出　　处：《计算机辅助设计与图形学学报》2010年第6期907-913,共7页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家"八六三"高技术研究发展计划(2007AA01Z334);国家自然科学基金(69903006;60373065;60721002);教育部新世纪优秀人才资助计划(NCET-04-0460)

摘　　要：为便于用户在概念设计时快速进行三维形状设计,将变分隐式曲面表示与手绘草图相结合,提出一种三维复杂曲面的交互生成方法.该方法分别采用膨胀变换、曲线交叉变换和弯曲变换,将轮廓、截面和骨架等3种交互笔画扩展生成三维约束点,支持用户以手绘草图方式来控制生成三维曲面的形状;通过对变分隐式曲面函数的局部化来实现曲面混合,保证三维复杂曲面交互生成的实时性.实验结果表明:文中方法能生成多种不同形状的三维复杂曲面,可有效地支持三维复杂形状的"分而治之"构造过程.To facilitate designers to create and or modify 3D shapes rapidly during prototype modeling,this paper presents an online interactive approach which can easily generate 3D composite surface of various shapes.The approach incorporates the sketch-based interface into the construction of variational implicit surface.It infers 3D surface constraint points from 2D drawing strokes（including contour stroke,cross-section stroke and skeleton stroke）using inflation transformation,cross transformation and bend transformation respectively,users can then control the shapes of 3D surfaces with freehand sketches.A technique of localization of variational implicit function is adopted for real time surface blending.Experiment results show that the proposed method supports the ＂divide-and-conquer＂ construction process of composite surface efficiently.

关 键 词：手绘草图交互 三维曲面建模 变分隐式曲面 参数曲线 曲面混合 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]