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Front. Inform. Technol. Electron. Eng.  2012, Vol. 13 Issue (8): 565-572    DOI: 10.1631/jzus.C1200004
    
Three-dimensional deformation in curl vector field
Dan Zeng, Da-yue Zheng
Key Laboratory of Specialty Fiber Optics and Optical Access Networks, Shanghai University, Shanghai 200072, China; NetEase (Hangzhou) Network Co., Ltd., Hangzhou 310052, China
Three-dimensional deformation in curl vector field
Dan Zeng, Da-yue Zheng
Key Laboratory of Specialty Fiber Optics and Optical Access Networks, Shanghai University, Shanghai 200072, China; NetEase (Hangzhou) Network Co., Ltd., Hangzhou 310052, China
 全文: PDF 
摘要： 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 preserving;  Self-intersection    
Abstract: 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.
Key words: 3D mesh deformation    Curl vector field    Volume preserving    Self-intersection
收稿日期: 2012-01-09 出版日期: 2012-08-02
CLC:  TP391  
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引用本文:

Dan Zeng, Da-yue Zheng. Three-dimensional deformation in curl vector field. Front. Inform. Technol. Electron. Eng., 2012, 13(8): 565-572.

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http://www.zjujournals.com/xueshu/fitee/CN/10.1631/jzus.C1200004    或    http://www.zjujournals.com/xueshu/fitee/CN/Y2012/V13/I8/565

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