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Journal for Geometry and Graphics 19 (2015), No. 1, 107--118
Copyright Heldermann Verlag 2015



Mesh Approximation for Generating Development with Creases and Slits

Kuniko Takahashi
The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan
kunikot@me.com

Tomohiro Tachi
JST PRESTO, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan
tachi@idea.c.u-tokyo.ac.jp

Yasushi Yamaguchi
JST CREST, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan
yama@graco.c.u-tokyo.ac.jp



The creation of papercrafts from 3D mesh models is useful not only for entertainment but also in engineering applications. Many studies have been conducted on approximating a mesh model using sheets of paper based on the developability of surfaces. In these studies, one of the objectives was to make the shape of each part simple in order to maintain its manufacturability. However, this approach may increase the number of pieces necessary for building an accurate model. In this paper, we propose a novel method to approximate a triangular mesh model with a small number of parts. The method achieves high accuracy with few parts by introducing creases and slits within each part.

Keywords: Papercraft, development, slits and creases.

MSC: 68U05; 65D17, 68W25, 52B10

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