Modeling dynamic developable meshes by the Hamilton principle

  • Authors:
  • Yong-Jin Liu;Kai Tang;Ajay Joneja

  • Affiliations:
  • Department of Computer Science and Technology, Tsinghua University, Beijing, PR China;Department of Mechanical Engineering, Hong Kong University of Science and Technology, Hong Kong, China;Department of Industrial Engineering and Logistics Management, Hong Kong University of Science and Technology, Hong Kong, China

  • Venue:
  • Computer-Aided Design
  • Year:
  • 2007

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Abstract

In this paper, a new dynamic developable surface model is proposed. The proposed model represents developable surfaces using triangle meshes. A novel algorithm is proposed to introduce the Hamilton principle into these meshes such that the resulting developable model is dynamic, i.e., it can offer a time-dependent continuous path to deform the model. Applications with examples are presented; these show that the proposed technique can model buckled developable surfaces well, and can offer physically-realistic animations of deformed developable surfaces.