Surface and contour-preserving origamic architecture paper pop-ups

Le, Sang N.; Leow, Su-Jun; Le-Nguyen, Tuong-Vu; Ruiz, Conrado; Low, Kok-Lim

doi:10.1109/tvcg.2013.108

Cited by 16 publications

(30 citation statements)

References 28 publications

(30 reference statements)

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“…A few studies have focused particularly on Origamic Architectures (OA), a special type of paper pop-up that is made of a single sheet of paper [13,17,17,18]. Li et al [16] consider a more general class of pop-ups, called v-style popups.…”

Section: Computational Pop-upsmentioning

confidence: 99%

“…Several papers [13,14,16,17,19] have proposed automated methods to generate pop-up designs from 3D meshes. These works, however, focus on representing the shape of the 3D mesh through paper pop-up design.…”

Section: Computational Pop-upsmentioning

confidence: 99%

“…The cost function we utilize measures the fidelity of the input motion with the output motion of the pop-up mechanisms, and the actual depth of the patches compared with the input mesh depth values. The cost function is (13) where w m and w d are the weights for the contribution of the motion difference and depth disparity (we use 85 and 15 respectively), v j is the weight contribution of a linkage to the overall motion based on the number of vertices assigned to j, N l is the number of linkage chains, and E m ( j) is the motion error of linkage chain j; we can use the L 2 norm…”

Section: Layout Generation and Refinementmentioning

confidence: 99%

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Generating animated paper pop-ups from the motion of articulated characters

Ruiz

Low

2015

Vis Comput

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Pop-up books are fascinating books comprised of paper pieces that pop out when opened to form interesting three-dimensional structures. But more than just reproducing 3D shapes, pop-up artists also use the movement of the paper pieces during the opening process to convey motion and produce some form of animation. Similarly, previous automated methods have focused on reproducing the 3D shape of an input mesh. In our work, we focus in recreating motion. We study the movement of the paper pieces of the different mechanisms used in pop-up structures to automatically design animated pop-ups. Our input is an animation file, containing a 3D character with an armature and motion. We map each of the linkage chains to a specific pop-up mechanism based on the type of motion it can produce. We then obtain the initial values of the parameters of the mechanisms, such as lengths and orientations of the patches, based on our formulations and parameter estimation. Subsequently, we utilize simulated annealing to search for a plausible layout from a valid configuration space. Finally, we produce a printable design layout of the animated pop-up.B Conrado Ruiz Jr.

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Section: Computational Pop-upsmentioning

confidence: 99%

Section: Computational Pop-upsmentioning

confidence: 99%

Section: Layout Generation and Refinementmentioning

confidence: 99%

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Generating animated paper pop-ups from the motion of articulated characters

Ruiz

Low

2015

Vis Comput

Self Cite

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“…Rigid origami has been studied by several researchers in the past and the subject remains active [11]. For example, it has been recently utilized for the design of pop-up mechanisms [12,13] and deployable structures [14,15]. * darren.hartl@tamu.edu [9].…”

Section: Introductionmentioning

confidence: 99%

Modeling and analysis of origami structures with smooth folds

Hernandez

Hartl

Akleman

et al. 2016

Computer-Aided Design

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Origami has the potential to impact numerous areas of design and manufacturing. Modeling and analysis of origami structures allow for the understanding of their behavior and the development of computational tools for their design. Most available origami models are limited to the idealization of folds as creases of zeroth-order geometric continuity, which is not proper for origami structures having non-negligible fold thickness or with maximum curvature at the folds restricted by material limitations. Structural analysis of origami sheets having creased folds requires further idealizations of the fold mechanical response such as the representation of the folds as torsional springs. In view of this, a novel model analogous to that for rigid origami is presented in this work for origami structures having folds of non-zero surface area that exhibit higher-order geometric continuity (termed smooth folds). This origami model allows for a proper structural analysis of origami sheets using plate or shell representations for the folds. The shape formulation of the smooth folds and the kinematic constraints on their associated shape variables are presented. Modeling of origami structures with smooth folds exhibiting elastic behavior is performed by determining the configuration of the structure that minimizes its total potential energy subject to the derived kinematic constraints. The presented results show that the structural response determined using the proposed model is in good agreement with both experiments and higher-fidelity finite element analyses.

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“…To further simplify OA design, Li et al [2010] proposed a fully automatic algorithm to convert building models to paper architectures. Le et al [2014] presented a surface-and-contour-preserving method to pop up 3D models with more freeform shapes.…”

Section: Introductionmentioning

confidence: 99%