Graphical Simulation of Deformable Models

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This book addresses the dynamic simulation of deformable objects, a complex area in computer graphics and visualization. It emphasizes the simulation of deformable models with anisotropic materials, a less explored approach in current research. The authors examine both physically-based and geometrically-based methods, beginning with transversely isotropic materials for simulating fibrous structures. They introduce a fiber-field incorporated corotational finite element model (CLFEM) that directly utilizes a constitutive model of transversely isotropic material, establishing local frames for each element using a smooth fiber-field. For orthotropic materials, they conceptualize an orthotropic deformation controlling frame-field and develop a frame construction tool for users to specify material properties. This frame-field is integrated with the CLFEM model to create a comprehensive orthotropic deformable model. Additionally, the authors present a real-time system for animating skeletal characters with anisotropic tissues, addressing volume distortion and computational costs through a strain-based PBD framework for skeletal animation, which also incorporates natural secondary motion of soft tissues. The book serves as a resource for researchers looking to develop their algorithms and includes key mathematical and computational concepts, illustrations, and examples, making it suitable for graduate students and professionals in com