© 2016

Graphical Simulation of Deformable Models


Table of contents

  1. Front Matter
    Pages i-xix
  2. Jianping Cai, Feng Lin, Hock Soon Seah
    Pages 1-26
  3. Jianping Cai, Feng Lin, Hock Soon Seah
    Pages 27-34
  4. Jianping Cai, Feng Lin, Hock Soon Seah
    Pages 35-47
  5. Jianping Cai, Feng Lin, Hock Soon Seah
    Pages 49-65
  6. Jianping Cai, Feng Lin, Hock Soon Seah
    Pages 67-84
  7. Jianping Cai, Feng Lin, Hock Soon Seah
    Pages 85-104
  8. Jianping Cai, Feng Lin, Hock Soon Seah
    Pages 105-107

About this book


This book covers dynamic simulation of deformable objects, which is one of the most challenging tasks in computer graphics and visualization. It focuses on the simulation of deformable models with anisotropic materials, one of the less common approaches in the existing research. Both physically-based and geometrically-based approaches are examined. 

The authors start with transversely isotropic materials for the simulation of deformable objects with fibrous structures. Next, they introduce a fiber-field incorporated corotational finite element model (CLFEM) that works directly with a constitutive model of transversely isotropic material. A smooth fiber-field is used to establish the local frames for each element. 

To introduce deformation simulation for orthotropic materials, an orthotropic deformation controlling frame-field is conceptualized and a frame construction tool is developed for users to define the desired material properties. The orthotropic frame-field is coupled with the CLFEM model to complete an orthotropic deformable model.

Finally, the authors present an integrated real-time system for animation of skeletal characters with anisotropic tissues. To solve the problems of volume distortion and high computational costs, a strain-based PBD framework for skeletal animation is explained; natural secondary motion of soft tissues is another benefit. 

The book is written for those researchers who would like to develop their own algorithms. The key mathematical and computational concepts are presented together with illustrations and working examples. It can also be used as a reference book for graduate students and senior undergraduates in the areas of computer graphics, computer animation, and virtual reality. Academics, researchers, and professionals will find this to be an exceptional resource.


Computer graphics Geometrical modeling Graphical simulation Deformable model Finite element method Anisotropic material Computer animation Virtual reality Dynamics Position based dynamics

Authors and affiliations

  1. 1.Nanyang Technological UniversitySingaporeSingapore
  2. 2.School of Computer EngineeringNanyang Technological UniversitySingaporeSingapore
  3. 3.Nanyang Technological UniversitySingaporeSingapore

Bibliographic information