The Creation of V-fold Animal Pop-Up Cards from 3D Models Using a Directed Acyclic Graph

Der Lor Way*, Yong Ning Hu, Zen-Chung Shih

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Scopus citations


Pop-up cards are an interesting form of paper art with intriguing geometrical properties. It is labor-intensive and requires a high level of skill to generate two-dimensional objects that pop-up into realistic 3D objects. Howev-er, this special feature makes the design procedure of a pop-up card challeng-ing. This paper proposes a novel algorithm to create a v-fold pop-up card from a 3D model using a directed acyclic graph. The algorithm computes a class of elements containing planar pieces and connections that approximate an input 3D geometry. Moreover, the pop up card is foldable, stable, and intersection-free when open and closed. The proposed method is demonstrated with various paper pop-ups, and experimental examples are presented.

Original languageEnglish
Title of host publicationAdvances in Intelligent Systems and Applications - Volume 2
Subtitle of host publicationProceedings of the International Computer
EditorsChang Ruay-Shiung, Peng Sheng-Lung, Lin Chia-Chen
Number of pages11
StatePublished - 28 Jun 2013

Publication series

NameSmart Innovation, Systems and Technologies
ISSN (Print)2190-3018
ISSN (Electronic)2190-3026


  • Digital art
  • Directed acyclic graph
  • Geometric modeling
  • Pop-up


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