A constrained finite element method for modeling cloth deformation

Tan, Sisi; Wong, TN; Zhao, Yiwei; Chen, W. J.

doi:10.1007/s003710050164

Cited by 27 publications

(18 citation statements)

References 18 publications

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“…Most existing methods for this kind of simulations are physically based (cf., [26], [27], [28], [29], [30], [31], and [32]), which usually require extremely long computing time and in most cases are not capable of maintaining developability on the cloth since the cloth is always assumed to be elastic (extensible). In their recent impressive work [33], Goldenthal et al improved it by forbidding the extensibility in two mutually orthogonal directions, warp and weft, on the cloth; nevertheless, the developability is neither explicitly addressed nor analyzed in [33].…”

Section: Resultsmentioning

confidence: 99%

Quasi-Developable Mesh Surface Interpolation via Mesh Deformation

Tang

Chen

2009

IEEE Trans. Visual. Comput. Graphics

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Abstract-We present a new algorithm for finding a most "developable" smooth mesh surface to interpolate a given set of arbitrary points or space curves. Inspired by the recent progress in mesh editing that employs the concepts of preserving the Laplacian coordinates and handle-based shape editing, we formulate the interpolation problem as a mesh deformation process that transforms an initial developable mesh surface, such as a planar figure, to a final mesh surface that interpolates the given points and/or curves. During the deformation, the developability of the intermediate mesh is maintained by means of preserving the zero-valued Gaussian curvature on the mesh. To treat the high nonlinearity of the geometric constrains owing to the preservation of Gaussian curvature, we linearize those nonlinear constraints using Taylor expansion and eventually construct a sparse and overdetermined linear system that is subsequently solved by a robust least squares solution. By iteratively performing this procedure, the initial mesh is gradually and smoothly "dragged" to the given points and/or curves. The initial experimental tests have shown some promising aspects of the proposed algorithm as a general quasi-developable surface interpolation tool.

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Section: Resultsmentioning

confidence: 99%

Quasi-Developable Mesh Surface Interpolation via Mesh Deformation

Tang

Chen

2009

IEEE Trans. Visual. Comput. Graphics

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“…From mechanical science 27 we know, for a triangle with the width b and the height h on a bottom edge, the inertia moment of the triangle around the same bottom edge can be expressed as (1/12)bh 3 . The shape shown in Figure 6(b) can be regarded as the area formed by the difference between two triangles which have a common bottom edge along the coordinate axis x 1 .…”

Section: A Simplified Bending Model With Dynamic Stiffness Methodsmentioning

confidence: 99%

Shear buckling and dynamic bending in cloth simulation

Zhou¹,

Jin

Wang³

2008

Computer Animation & Virtual

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This paper addresses the problem of simulating the mechanical behavior of cloth in computer animation, which is very important and challenging. The micro-structure of woven fabrics leads to significantly different shear reaction from other sheet materials, which has been neglected in previous approaches of cloth simulation. Therefore, it is beneficial for cloth simulation to model the shear buckling and structural bending separately. We analyze the shear buckling yielded by the micro-structure of woven and the dynamic bending based on the thin-shell theory, and develop a compact implementation of the new model on mass-spring systems. Experimental results show that the animations generated using this technique are with wrinkles and folds appearing and vanishing in a more natural way than other approaches.

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“…The Computer Graphics community has devoted large efforts to cloth modelling and simulation, since a couple of decades ago. Fabric has been modelled mainly with continuum models, implemented with finite difference [15] and finite elements methods [16][17][18][19], and with discrete models like particle systems [20,21] and mass-spring models [12,[22][23][24]. In the latter, immediate neighbors are connected with "structural springs", diagonal neighbors with "shear springs" and also cross-springs connecting non-immediate neighbors are necessary for modelling the flexural resistance of cloth.…”

Section: Deformable Planar Modelsmentioning

confidence: 99%

Survey on model-based manipulation planning of deformable objects

Jiménez

2012

Robotics and Computer-Integrated Manufacturing

113

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A systematic overview on the subject of model-based manipulation planning of deformable objects is presented. Existing modelling techniques of volumetric, planar and linear deformable objects are described, emphasizing the different types of deformation. Planning strategies are categorized according to the type of manipulation goal: path planning, folding/unfolding, topology modifications and assembly. Most current contributions fit naturally into these categories, and thus the presented algorithms constitute an adequate basis for future developments.

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A constrained finite element method for modeling cloth deformation

Cited by 27 publications

References 18 publications

Quasi-Developable Mesh Surface Interpolation via Mesh Deformation

Quasi-Developable Mesh Surface Interpolation via Mesh Deformation

Shear buckling and dynamic bending in cloth simulation

Survey on model-based manipulation planning of deformable objects

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