Geodesic
Mesh Approximation for Generating Development with Creases and Slits
Journal for geometry and graphics, Tome 19 (2015) no. 1, pp. 107-118 Cet article a éte moissonné depuis la source Heldermann Verlag

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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.
Classification : 68U05, 65D17, 68W25, 52B10
Mots-clés : Papercraft, development, slits and creases 
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     author = {K. Takahashi and T. Tachi and Y. Yamaguchi },
     title = {Mesh {Approximation} for {Generating} {Development} with {Creases} and {Slits}},
     journal = {Journal for geometry and graphics},
     pages = {107--118},
     year = {2015},
     volume = {19},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2015_19_1_JGG_2015_19_1_a7/}
}
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K. Takahashi; T. Tachi; Y. Yamaguchi . Mesh Approximation for Generating Development with Creases and Slits. Journal for geometry and graphics, Tome 19 (2015) no. 1, pp. 107-118. http://geodesic.mathdoc.fr/item/JGG_2015_19_1_JGG_2015_19_1_a7/