Rethinking Origami: A Generative Specification of Origami Patterns with Shape Grammars

Yu, Ying; Hong, Tzu-Chieh Kurt; Economou, Athanassios; Paulino, Gláucio H.

doi:10.1016/j.cad.2021.103029

Cited by 20 publications

(3 citation statements)

References 26 publications

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“…S. Garcia and L.Romao [7] coded various types embedded in multifunctional chair classes to develop generative design tools usable during the chair concept design stage. Y. Yu et al [21] proposed a method of generating origami pattern based on shape grammar recursive applications of shape rewriting rules. In addition, shape grammar provides a perspective and modeling technique for creating origami tessellation patterns.…”

Section: Related Workmentioning

confidence: 99%

An improved generative design approach based on graph grammar for pattern drawing

Liu,

Zhou,

Yang

et al. 2024

MG&V

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Generative design is used to efficiently generate design solutions with powerful computational methods. Generative design based on shape grammar is currently the most commonly used approach, but it is difficult for shape grammar to formally analyze the generated pattern. Graph grammar derived from one-dimensional character grammar is mainly used for generating and analyzing abstract models of visual languages. However, there is a significant gap between the generated node-edge graphs and the representation of shape appearance. To address these problems, we propose an improved generative design approach based on virtual-node based continuous Coordinate Graph Grammar (vcCGG). This approach defines a new type of grammatical rule named node transformation rules to convert nodes into shapes with node transformation applications. By combining node transformation applications and L-applications in vcCGG, we can generate a node-edge graph as the structure of the pattern through L-applications, and then draw the shape outline, next adjust the positions of these shapes, thus relating abstract structures and the physical layouts of visual languages. At the end of the paper, we provide an example application of this approach: generating an illustration from Emma Talbot using a combination of node transformation applications and L-applications.

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Section: Related Workmentioning

confidence: 99%

An improved generative design approach based on graph grammar for pattern drawing

Liu,

Zhou,

Yang

et al. 2024

MG&V

View full text Add to dashboard Cite

show abstract

“…For example, Stiny [14] uses shape grammar to generate Chinese lattice designs from simple shapes by applying rules. Yu et al [15] propose a shape grammar based method to generate origami patterns through recursive applications of shape rewriting rules. Besides, shape grammar provides a perspective and modeling technique for creating origami tessellation patterns.…”

Section: Shape Grammarmentioning

confidence: 99%

An enhanced grammatical approach for graph drawing

Liu

Zhou²,

Yang³

2023

International Conference on Artificial Intelligence, Virtual Reality, and Visualization (AIVRV 2022)

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With the development of computer-aided design, visual languages have been widely used as formal methods to represent various types of graphical models. Accordingly, many grammar systems have been proposed for the specification of visual languages. However, apart from shape grammar, most grammars focus on the abstract structures of the languages and ignore the semantic modeling of graph drawing. Furthermore, shape grammar supports generation rather than parsing, with its limited application scope. To address these problems, this paper proposes an enhanced grammar system based on Coordinate Graph Grammar (CGG). Different from traditional grammars, the enhanced system defines a new type of grammatical rule named shape rules to transform graphs into shapes by shape applications. In each shape application, the assertion set describes the range of validity, and shapes can be generated by translation, zoom, and rotation to a set of rulebased coordinates. With the combinations of shape applications and L-applications, the node-edge graph and drawn outline could both be specified, building a bridge between abstract structures and physical layouts of visual languages. An example is given to illustrate the application of the enhanced system in industrial design, where a Bauhaus-style baby cradle is generated by the combination of shape applications and L-applications.

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“…The application of origami for engineering applications can be broken down into two major directions, namely design approaches that draw the inspiration from origami-like geometry but otherwise show little resemblance to a behavior of an origami (Francis et al 2014) and approaches that adapt the kinematics of origami (Zirbel et al 2013) into new designs. Due to the complex kinematics of origami structures origami adaptation triggered significant research producing mathematical models of various patterns (Lang 2017), the development of computational approaches to assist origami-adaptation (Demaine and Tachi 2017;Dieleman et al 2020;Zimmermann et al 2020;Dudte et al 2021;Yu et al 2021;Zimmermann et al 2021), as well as the development of approaches to accommodate for finite thickness of faces during the embodiment design phase (Lang et al 2018). Each origami is defined by its crease pattern, which comprises a set of edges, i.e.…”

Section: Origami-based Designmentioning

confidence: 99%

Computational Design of an Additively Manufactured Origami-Based Hand Orthosis

2022

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This work investigates the application of origami as the underlying principle to realize a novel 3D printed hand orthosis design. Due to the special property of some origami to become rigid when forming a closed surface, the orthosis can be printed flat to alleviate the most of the post-processing, and at the same time provide rigid support for the immobilized limb in the folded state. The contributions are the origami-based hand orthosis design and corresponding computational design method, as well as lessons learned regarding the application of origami for the hand orthosis design.

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Rethinking Origami: A Generative Specification of Origami Patterns with Shape Grammars

Cited by 20 publications

References 26 publications

An improved generative design approach based on graph grammar for pattern drawing

An improved generative design approach based on graph grammar for pattern drawing

An enhanced grammatical approach for graph drawing

Computational Design of an Additively Manufactured Origami-Based Hand Orthosis

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