Three-dimensional deformation in curl vector field  

作　　者：Dan ZENG Da-yue ZHENG 

机构地区：[1]Key Laboratory of Specialty Fiber Optics and Optical Access Networks,Shanghai University,Shanghai 200072,China [2]NetEase(Hangzhou)Network Co.,Ltd.,Hangzhou 310052,China

出　　处：《Journal of Zhejiang University-Science C(Computers and Electronics)》2012年第8期565-572,共8页浙江大学学报C辑（计算机与电子（英文版）

基　　金：Project (Nos. 40905013 and 60832003) supported by the National Natural Science Foundation of China;the Shanghai Natural Science Foundation (No. 11ZR1413400);the Key Scientific Research Project of the Shanghai Education Committee (No. 12YZ007);the Open Project Program of the State Key Lab of CAD&CG,Zhejiang University (No. A1101),China

摘　　要：Deformation is an important research topic in graphics.There are two key issues in mesh deformation:(1) selfintersection and(2) volume preserving.In this paper,we present a new method to construct a vector field for volume-preserving mesh deformation of free-form objects.Volume-preserving is an inherent feature of a curl vector field.Since the field lines of the curl vector field will never intersect with each other,a mesh deformed under a curl vector field can avoid self-intersection between field lines.Designing the vector field based on curl is useful in preserving graphic features and preventing self-intersection.Our proposed algorithm introduces distance field into vector field construction;as a result,the shape of the curl vector field is closely related to the object shape.We define the construction of the curl vector field for translation and rotation and provide some special effects such as twisting and bending.Taking into account the information of the object,this approach can provide easy and intuitive construction for free-form objects.Experimental results show that the approach works effectively in real-time animation.Deformation is an important research topic in graphics. There are two key issues in mesh deformation： （1） self- intersection and （2） volume preserving. In this paper, we present a new method to construct a vector field for volume-preserving mesh deformation of free-form objects. Volume-preserving is an inherent feature of a curl vector field. Since the field lines of the curl vector field will never intersect with each other, a mesh deformed under a curl vector field can avoid self-intersection between field lines. Designing the vector field based on curl is useful in preserving graphic features and preventing self-intersection. Our proposed algorithm introduces distance field into vector field construction; as a result, the shape of the curl vector field is closely related to the object shape. We define the construction of the curl vector field for translation and rotation and provide some special effects such as twisting and bending. Taking into account the information of the object, this approach can provide easy and intuitive construction for free-form objects. Experimental results show that the approach works effectively in real-time animation.

关 键 词：3D mesh deformation Curl vector field. Volume loreservin~ SELF-INTERSECTION 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]