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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 [ Fulltext-pdf (1264 KB)] |