An improved solution for deformation simulation of nonorthotropic geometric models. (14th August 2019)

• Record Type: Journal Article
• Authors: Cao, Wei; Yang, Zhixin; Ren, Xiaohua; Lyu, Luan; Zhang, Bob; Zhang, Yanci; Wu, Enhua
• Is Part Of: Computer animation and virtual worlds. Volume 31:Number 1(2020)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-08-14
• Subjects: deformation simulation -- finite element method -- nonorthotropic constitutive model -- physically based animation; Computer animation -- Periodicals; Visualization -- Periodicals; 006.6
• DOI: 10.1002/cav.1915
• Languages: English
• ISSNs: 1546-4261

Abstract

Abstract: Physically based deformation simulation has been studied for many years in computer graphics. In order to simulate more complex geometric models and better meet the designer's requirements, many anisotropic approaches have been proposed in recent years. However, most of the approaches focus on simulating orthotropic models. In comparison with orthotropic models, nonorthotropic ones allow the objects to have anisotropic behaviors along nonorthogonal directions. In this paper, we introduce an improved approach to simulate nonorthotropic geometric models under large deformation. The improvements are mainly twofold. First, a frame field is specified on a given undeformed object, that is, each point of the object is equipped with a frame. In each local frame, we construct three independent vectors and form a nonorthogonal coordinate. Second, we design the deformation properties along each axis in the local nonorthogonal coordinate to get a local constitutive model. The final nonorthotropic model is generated by transforming the designed model from local nonorthogonal coordinates to the global standard Cartesian coordinate. To improve the stability, we introduce a time‐varying method to simultaneously track the local coordinates reorientation by pushing forward the original frame field to the deformed frame field. Experiments show that the deformation simulation using the designed nonorthotropic models exhibits anisotropic behaviors along different directions and are more stable than previous methods. Abstract : We present a non‐orthotropic method to design geometric models in deformation simulation. The non‐orthogonal coordinate systems are constructed in three‐dimensional space, where the strain directions can be set explicitly. To better reflect the structural features of deformable objects, we combine a frame‐field concept with our non‐orthotropic method. To improve the stability of the non‐orthotropic deformation simulation, we introduce a time‐varying tracking method to update the frame‐field reorientation during the deformation.