Quasi-dynamic splines

Theetten, Adrien; Grisoni, Laurent; Duriez, Christian; Merlhiot, Xavier

doi:10.1145/1236246.1236305

Cited by 31 publications

(16 citation statements)

References 14 publications

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“…Jiang and Chen [2005] used a splinebased yarn model to generate plausible static woven fabric configurations. Similar to this, there has also been work done in computer graphics on modeling and simulating thin flexible rods [Pai 2002;Bertails et al 2006;Theetten et al 2007;Spillmann and Teschner 2008], although the simulated rods are typically much shorter than the spline curves used in our cloth.…”

Section: Prior Workmentioning

confidence: 89%

Simulating knitted cloth at the yarn level

Kaldor

James

Marschner

2008

ACM SIGGRAPH 2008 Papers

130

112

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Figure 1: Yarn-level cloth: Three knitting patterns relaxed to rest in our simulator. Each starts from a flat input configuration like at left; they differ only in their interlocking patterns. Characteristic shapes and textures of each knit emerge from our yarn-level physical model. AbstractKnitted fabric is widely used in clothing because of its unique and stretchy behavior, which is fundamentally different from the behavior of woven cloth. The properties of knits come from the nonlinear, three-dimensional kinematics of long, inter-looping yarns, and despite significant advances in cloth animation we still do not know how to simulate knitted fabric faithfully. Existing cloth simulators mainly adopt elastic-sheet mechanical models inspired by woven materials, focusing less on the model itself than on important simulation challenges such as efficiency, stability, and robustness. We define a new computational model for knits in terms of the motion of yarns, rather than the motion of a sheet. Each yarn is modeled as an inextensible, yet otherwise flexible, B-spline tube. To simulate complex knitted garments, we propose an implicit-explicit integrator, with yarn inextensibility constraints imposed using efficient projections. Friction among yarns is approximated using rigid-body velocity filters, and key yarn-yarn interactions are mediated by stiff penalty forces. Our results show that this simple model predicts the key mechanical properties of different knits, as demonstrated by qualitative comparisons to observed deformations of actual samples in the laboratory, and that the simulator can scale up to substantial animations with complex dynamic motion.

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Section: Prior Workmentioning

confidence: 89%

Simulating knitted cloth at the yarn level

Kaldor

James

Marschner

2008

ACM SIGGRAPH 2008 Papers

130

112

View full text Add to dashboard Cite

show abstract

“…When dealing with 1D structures, one can use beam elements [65] or geometrical curves as in [66]. For 3D structures, there exist mass-spring models, co-rotational FEM [67], embedded deformable solids [59] as well as hyperelastic models to handle large deformations [58].…”

Section: Discretizationmentioning

confidence: 99%

Software toolkit for modeling, simulation, and control of soft robots

et al. 2017

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“…These simulators automatically capture nonlinear deformations that are difficult to duplicate in sheet based simulators, particularly knits, at the cost of a significant increase in computation time. They rely on an underlying model for thin flexible rods, which have been studied extensively in com-puter graphics [Pai 2002;Bertails et al 2006;Theetten et al 2007;Bergou et al 2008;Bergou et al 2010]. Contacts between rods can be resolved precisely using inequality constraints [Spillmann and Teschner 2008], but this does not allow for lateral compression of soft yarns as penalty-based models do [Kaldor et al 2008], requiring explicit modeling via additional degrees of freedom.…”

Section: Prior Workmentioning

confidence: 99%

Efficient yarn-based cloth with adaptive contact linearization

Kaldor

James

Marschner

2010

TOG

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Figure 1: Character-Scale Garments: A character wearing a knit sweater containing 45,960 yarn loops walks forward. By exploiting spatial and temporal coherence in the contact forces, we focus computation on rapidly deforming parts of the model (model updates in red). AbstractYarn-based cloth simulation can improve visual quality but at high computational costs due to the reliance on numerous persistent yarn-yarn contacts to generate material behavior. Finding so many contacts in densely interlinked geometry is a pathological case for traditional collision detection, and the sheer number of contact interactions makes contact processing the simulation bottleneck. In this paper, we propose a method for approximating penalty-based contact forces in yarn-yarn collisions by computing the exact contact response at one time step, then using a rotated linear force model to approximate forces in nearby deformed configurations. Because contacts internal to the cloth exhibit good temporal coherence, sufficient accuracy can be obtained with infrequent updates to the approximation, which are done adaptively in space and time. Furthermore, by tracking contact models we reduce the time to detect new contacts. The end result is a 7-to 9-fold speedup in contact processing and a 4-to 5-fold overall speedup, enabling simulation of character-scale garments.

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Quasi-dynamic splines

Cited by 31 publications

References 14 publications

Simulating knitted cloth at the yarn level

Simulating knitted cloth at the yarn level

Software toolkit for modeling, simulation, and control of soft robots

Efficient yarn-based cloth with adaptive contact linearization

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