Cage-free local deformations using Green coordinates

Zheng Li*, David Levin, Zhengjie Deng, Dingyuan Liu, Xiaonan Luo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Green coordinates require to build an enclosing cage around a shape that is deformed by manipulating the cage. In this paper, we build upon the local differences of Green coordinates and propose a method to deform a shape locally without constructing a cage. Second, we derive linear formulas to directly interpolate points on the shape to desired locations using an umbrella shaped cell. Moreover, we set up an influence region to confine the deformation in a local area. Finally, we suggest a method to automatically construct an umbrella shaped cell and thus update it consecutively while the shape is deforming. Experiments have shown that the suggested approach delivers smooth local deformations and enables shape manipulations at an interactive rate.

Original languageEnglish
Pages (from-to)1027-1036
Number of pages10
JournalVisual Computer
Issue number6-8
StatePublished - Jun 2010


  • Cage
  • Green coordinates
  • Handles
  • Shape deformations
  • Umbrella shaped cell


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