Graphical Simulation of Deformable Models by Jianping Cai, Feng Lin, Hock Soon Seah

By Jianping Cai, Feng Lin, Hock Soon Seah

This e-book covers dynamic simulation of deformable items, that is essentially the most difficult initiatives in special effects and visualization. It specializes in the simulation of deformable versions with anisotropic fabrics, one of many much less universal techniques within the present examine. either physically-based and geometrically-based methods are tested.
The authors begin with transversely isotropic fabrics for the simulation of deformable items with fibrous buildings. subsequent, they introduce a fiber-field included corotational finite point version (CLFEM) that works at once with a constitutive version of transversely isotropic fabric. A gentle fiber-field is used to set up the neighborhood frames for every aspect.
To introduce deformation simulation for orthotropic fabrics, an orthotropic deformation controlling frame-field is conceptualized and a body development device is built for clients to outline the specified fabric houses. The orthotropic frame-field is coupled with the CLFEM version to accomplish an orthotropic deformable model.
Finally, the authors current an built-in real-time process for animation of skeletal characters with anisotropic tissues. to unravel the issues of quantity distortion and excessive computational charges, a strain-based PBD framework for skeletal animation is defined; typical secondary movement of soppy tissues is one other profit.
The ebook is written for these researchers who wish to improve their very own algorithms. the foremost mathematical and computational thoughts are offered including illustrations and dealing examples. it might probably even be used as a reference ebook for graduate scholars and senior undergraduates within the components of special effects, desktop animation, and digital fact. teachers, researchers, and execs will locate this to be a great resource.

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42. , & Westermann, R. (2008). Corotated finite elements made fast and stable. VRIPHYS, 8, 11–19. 43. , et al. (2012). Energetically consistent invertible elasticity. In Eurographics/ACM SIGGRAPH symposium on computer animation. The Eurographics Association. 44. , J. Teran, & Fedkiw, R. (2004). Invertible finite elements for robust simulation of large deformation. In Proceedings of the 2004 ACM SIGGRAPH/eurographics symposium on computer animation (pp. 131–140). Eurographics Association: Grenoble, France.

Et al. (2006). Physically based deformable models in computer graphics. Computer Graphics Forum, 25(4), 809–836. 40. , & Barbic, J. (2012). FEM simulation of 3D deformable solids: a practitioner’s guide to theory, discretization and model reduction. In ACM SIGGRAPH 2012 courses. ACM. 41. , & Faure, F. (2011). Implicit FEM solver on GPU for interactive deformation simulation. In W. H. ), GPU computing gems Jade Edition (pp. 281–294), Elsevier. 42. , & Westermann, R. (2008). Corotated finite elements made fast and stable.

It includes cloth simulation, the corotational FEM model and various time integrators. The Vega FEM library [98] has implemented several physically based deformable models, and provided useful data structures and linear algebra algorithms. The SOFA framework [99], which includes GPU implementations, primarily targets at real-time medical simulation for soft tissues. There are also some open source physics engines that support deformable models, such as Bullet physics engine [20], which is a professional 3D real-time multi-physics library.

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