A physically based method for triangulated surface flattening

  • Authors:
  • Yueqi Zhong;Bugao Xu

  • Affiliations:
  • Department of Human Ecology, The University of Texas at Austin, USA;Department of Human Ecology, The University of Texas at Austin, USA

  • Venue:
  • Computer-Aided Design
  • Year:
  • 2006

Quantified Score

Hi-index 0.00

Visualization

Abstract

This paper introduces a new method of generating 2D flat patterns from a 3D triangulated surface by opening the bending configuration of each winged triangle pair. The flattening can be divided into four steps. First, a 3D triangulated surface is modeled with a mass-spring system that simulates the surface deformation during the flattening. Second, an unwrapping force field is built to drive the mass-spring system to a developable configuration through the numerical integration. Third, a velocity redistribution procedure is initiated to average velocity variances among the particles. Finally, the mass-spring system is forced to collide with a plane, and the final 2D pattern is generated after all the winged triangle pairs are spread onto the colliding plane. To retain the size and area of the original 3D surface, a strain control mechanism is introduced to keep the springs from over-elongation or over-shrinkage at each time step.