Article

A consistent bending model for cloth simulation with corotational subdivision finite elements

Authors:

Bernhard Thomaszewski,

Wolfgang StraßerAuthors Info & Claims

SCA '06: Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation

Pages 107 - 116

Published: 02 September 2006 Publication History

Abstract

Wrinkles and folds play an important role in the appearance of real textiles. The way in which they form depends mainly on the bending properties of the specific material type. Existing approaches fail to reliably reproduce characteristic behaviour like folding and buckling for different material types or resolutions. It is therefore crucial for the realistic simulation of cloth to model bending energy in a physically accurate and consistent way. In this paper we present a new method based on a corotational formulation of subdivision finite elements. Due to the non-local nature of the employed subdivision basis functions a C¹-continuous displacement field can be defined. In this way, it is possible to use the governing equations of thin shell analysis leading to physically accurate bending behaviour. Using a corotated strain tensor allows the large displacement analysis of cloth while retaining a linear system of equations. Hence, known convergence properties and computational efficiency are preserved while convincing and detailed folding behaviour is obtained in the simualtion.

References

[1]

{AP04} K. Athiannan and R. Palaninathan. Experimental investigations on buckling of cylindrical shells under axial compression and transverse shear. Sadhana, pages 93--115, February 2004.

[2]

{Bar89} A. H. Barr. The einstein summation notation: Introduction and extensions. In SIGGRAPH '89 Course Notes on Topics in Physically-Based Modeling, volume 30, pages J1--J12, 1989.

[3]

{BFA02} R. Bridson, R. Fedkiw, and J. Anderson. Robust treatment of collisions, contact and friction for cloth animation. In Proceedings of ACM SIGGRAPH '02, pages 594--603. ACM Press, 2002.

Digital Library

[4]

{BHW94} D. Breen, D. House, and M. Wozny. Predicting the drape of woven cloth using interacting particles. In Proceedings of ACM SIGGRAPH '94, pages 365--372. ACM Press, 1994.

Digital Library

[5]

{BMF03} R. Bridson, S. Marino, and R. Fedkiw. Simulation of clothing with folds and wrinkles. In Proceedings of ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA 2003), pages 28--36. ACM Press, 2003.

Digital Library

[6]

{BW97} J. Bonet and R. D. Wood. Nonlinear Continuum Mechanics for Finite Element Analysis. Cambridge University Press, 1997.

[7]

{BW98} D. Baraff and A. Witkin. Large steps in cloth simulation. In Proceedings of ACM SIGGRAPH '98, pages 43--54. ACM Press, 1998.

Digital Library

[8]

{CK02} Kwang-Jin Choi and Hyeong-Seok Ko. Stable but responsive cloth. In Proceedings of ACM SIGGRAPH '02, pages 604--611. ACM Press, 2002.

Digital Library

[9]

{CO01} F. Cirak and M. Ortiz. Fully C1 -conforming subdivision elements for finite deformation thin-shell analysis. Journal for Numerical Methods in Engineering, 51:813--833, 2001.

[10]

{COS00} F. Cirak, M. Ortiz, and P. Schröder. Subdivision surfaces: A new paradigm for thin-shell finite-element analysis. Journal for Numerical Methods in Engineering, 47:2039--2072, 2000.

[11]

{EDC96} J. Eischen, S. Deng, and T. Clapp. Finite-element modeling and control of flexible fabric parts. IEEE Computer Graphics and Applications, 16(5):71--80, September 1996.

Digital Library

[12]

{EKS03} O. Etzmuss, M. Keckeisen, and W. Straßer. A Fast Finite Element Solution for Cloth Modelling. In Proceedings of Pacific Graphics, pages 244--251, 2003.

Digital Library

[13]

{GCSO99} E. Grinspun, F. Cirak, P. Schröder, and M. Ortiz. Non-linear mechanics and collisions for subdivision surfaces. Technical report, Caltech Multi-Res Modeling Group, 1999.

[14]

{GH+03} E. Grinspun, A. Hirani, M. Desbrun, and P. Schröder. Discrete shells. In Proceedings of ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA 2003), pages 62--67. ACM Press, 2003.

Digital Library

[15]

{GS01} E. Grinspun and P. Schröder. Normal bounds for subdivision-surface interference detection. In Proceedings of IEEE Visualization '01, pages 333--340. IEEE Computer Society, 2001.

Digital Library

[16]

{GT04} S. Green and G. Turkiyyah. Second-order accurate constraint formulation for subdivision finite element simulation of thin shells. International Journal for Numerical Methods in Engineering, 61(3):380--405, 9 2004.

[17]

{GTS02} S. Green, G. Turkiyyah, and D. Storti. Subdivision-based multilevel methods for large scale engineering simulation of thin shells. In SMA '02: Proceedings of the seventh ACM symposium on Solid modeling and applications, pages 265--272. ACM Press, 2002.

Digital Library

[18]

{HB00} D. H. House and D. E. Breen, editors. Cloth modeling and animation. A. K. Peters, Ltd., Natick, MA, USA, 2000.

Digital Library

[19]

{HGSB03} Michael Hauth, Joachim Groß, Wolfgang Straßer, and Gerhard F. Buess. Soft tissue simulation based on measured data. In Proceedings of MICCAI (1), pages 262--270, 2003.

[20]

{HS04} M. Hauth and W. Straßer. Corotational simulation of deformable solids. Journal of WSCG, 12(1):137--145, 2004.

[21]

{Kaw80} S. Kawabata. The Standardization and Analysis of Hand Evaluation. The Textile Machinery Society of Japan, Osaka, 1980.

[22]

{MDM+02} M. Müller, J. Dorsey, L. McMillan, R. Jagnow, and B. Cutler. Stable real-time deformations. In Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation (SCA 2002), pages 49--54. ACM Press, 2002.

Digital Library

[23]

{MKE03} Johannes Mezger, Stefan Kimmerle, and Olaf Etzmuß. Hierarchical Techniques in Collision Detection for Cloth Animation. Journal of WSCG, 11(2):322--329, 2003.

[24]

{MS06} Johannes Mezger and Wolfgang Straßer. Interactive Soft Object Simulation with Quadratic Finite Elements. In IV Conference on Articulated Motion and Deformable Objects (AMDO), 2006. Accepted for publication.

Digital Library

[25]

{NG96} H. N. Ng and R. L. Grimsdale. Computer graphics techniques for modeling cloth. IEEE Comput. Graph. Appl., 16(5):28--41, 1996.

Digital Library

[26]

{RS01} U. Reif and P. Schröder. Curvature integrability of subdivision surfaces. Advances in Computational Mathematics, 14(2):157--174, 2001.

[27]

{Sch96} J. E. Schweitzer. Analysis and application of subdivision surfaces. PhD thesis, Department of Computer Science and Engineering, University of Washington, Seattle, 1996.

Digital Library

[28]

{SF89} J. C. Simo and D. D. Fox. On stress resultant geometrically exact shell model, part i: formulation and optimal parametrization. Comput. Methods Appl. Mech. Eng., 72(3):267--304, 1989.

Digital Library

[29]

{Sta98} J. Stam. Evaluation of loop subdivision surfaces. In SIGGRAPH '98 CDROM Proceedings, 1998.

[30]

{VCMT95} P. Volino, M. Courchesne, and N. Magnenat-Thalmann. Versatile and efficient techniques for simulating cloth and other deformable objects. In Proceedings of ACM SIGGRAPH '95, pages 137--144. ACM Press, 1995.

Digital Library

[31]

{VCMT05} P. Volino, F. Cordier, and N. Magnenat-Thalmann. From early virtual garment simulation to interactive fashion design. Computer-Aided Design Journal, Elsevier, 37:593--608, 2005.

Digital Library

[32]

{VMT00} Pascal Volino and Nadja Magnenat-Thalmann. Virtual Clothing. Springer, 2000.

[33]

{WSG05} M. Wicke, D. Steinemann, and M. Gross. Efficient animation of point-sampled thin shells. Computer Graphics Forum (Eurographics 2005), 24(3):667--676, September 2005.

[34]

{WT03} G. Wempner and D. Talaslidis. Mechanics of solids and shells: Theories and approximations. CRC Press, 2003.

[35]

{ZS00} D. Zorin and P. Schröder. Subdivision for Modeling and Animation. In SIGGRAPH '00 Course Notes, 2000.

[36]

{ZT00} O. C. Zienkiewicz and R. L. Taylor. The Finite Element Method. Volume 1: The Basis. Butterworth Heinemann, 5th edition, 2000.

Cited By

Custers BVaxman A(2020)Subdivision Directional FieldsACM Transactions on Graphics10.1145/337565939:2(1-20)Online publication date: 7-Feb-2020
https://dl.acm.org/doi/10.1145/3375659
Guo QHan XFu CGast TTamstorf RTeran J(2018)A material point method for thin shells with frictional contactACM Transactions on Graphics10.1145/3197517.320134637:4(1-15)Online publication date: 30-Jul-2018
https://dl.acm.org/doi/10.1145/3197517.3201346
Weidner NPiddington KLevin DSueda S(2018)Eulerian-on-lagrangian cloth simulationACM Transactions on Graphics10.1145/3197517.320128137:4(1-11)Online publication date: 30-Jul-2018
https://dl.acm.org/doi/10.1145/3197517.3201281
Show More Cited By

Index Terms

A consistent bending model for cloth simulation with corotational subdivision finite elements
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
2. Theory of computation
  1. Randomness, geometry and discrete structures
    1. Computational geometry

Recommendations

Shear buckling and dynamic bending in cloth simulation
CASA'2008 Special Issue

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 ...
Orthotropic rotation-free thin shell elements

A method to simulate orthotropic behaviour in thin shell finite elements is proposed. The approach is based on the transformation of shape function derivatives, resulting in a new orthogonal basis aligned to a specified preferred direction for all ...
Isogeometric shape optimisation of shell structures using multiresolution subdivision surfaces

We introduce the isogeometric shape optimisation of thin shell structures using subdivision surfaces. Both triangular Loop and quadrilateral CatmullClark subdivision schemes are considered for geometry modelling and finite element analysis. A gradient-...

Comments

Information & Contributors

Information

Published In

cover image ACM Conferences

SCA '06: Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation

September 2006

370 pages

ISBN:3905673347

General Chairs:
Carol O'Sullivan
Trinity College Dublin, Ireland
,
Fred Pighin
Industrial Light and Magic, USA

Sponsors

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
EUROGRAPHICS: The European Association for Computer Graphics

Publisher

Eurographics Association

Goslar, Germany

Publication History

Published: 02 September 2006

Check for updates

Author Tags

Qualifiers

Article

Conference

SCA06

Sponsor:

SIGGRAPH
EUROGRAPHICS

SCA06: The ACM SIGGRAPH / Eurographics Symposium on Computer Animation

September 2 - 4, 2006

Vienna, Austria

Acceptance Rates

Overall Acceptance Rate 183 of 487 submissions, 38%

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

17
Total Citations
View Citations
846
Total Downloads

Downloads (Last 12 months)3
Downloads (Last 6 weeks)0

Reflects downloads up to 05 Mar 2025

Other Metrics

View Author Metrics

Citations

Cited By

Custers BVaxman A(2020)Subdivision Directional FieldsACM Transactions on Graphics10.1145/337565939:2(1-20)Online publication date: 7-Feb-2020
https://dl.acm.org/doi/10.1145/3375659
Guo QHan XFu CGast TTamstorf RTeran J(2018)A material point method for thin shells with frictional contactACM Transactions on Graphics10.1145/3197517.320134637:4(1-15)Online publication date: 30-Jul-2018
https://dl.acm.org/doi/10.1145/3197517.3201346
Weidner NPiddington KLevin DSueda S(2018)Eulerian-on-lagrangian cloth simulationACM Transactions on Graphics10.1145/3197517.320128137:4(1-11)Online publication date: 30-Jul-2018
https://dl.acm.org/doi/10.1145/3197517.3201281
Clyde DTeran JTamstorf RTeran JZheng CThomaszewski BYin K(2017)Modeling and data-driven parameter estimation for woven fabricsProceedings of the ACM SIGGRAPH / Eurographics Symposium on Computer Animation10.1145/3099564.3099577(1-11)Online publication date: 28-Jul-2017
https://dl.acm.org/doi/10.1145/3099564.3099577
de Goes FDesbrun MMeyer MDeRose T(2016)Subdivision exterior calculus for geometry processingACM Transactions on Graphics10.1145/2897824.292588035:4(1-11)Online publication date: 11-Jul-2016
https://dl.acm.org/doi/10.1145/2897824.2925880
Gambaruto A(2015)Computational haemodynamics of small vessels using the Moving Particle Semi-implicit (MPS) methodJournal of Computational Physics10.1016/j.jcp.2015.08.039302:C(68-96)Online publication date: 1-Dec-2015
https://dl.acm.org/doi/10.1016/j.jcp.2015.08.039
Arikatla VDe S(2015)An iterative predictor-corrector approach for modeling static and kinetic friction in interactive simulationsGraphical Models10.1016/j.gmod.2015.10.00182:C(29-42)Online publication date: 1-Nov-2015
https://dl.acm.org/doi/10.1016/j.gmod.2015.10.001
Li PKry PShapiro AAmato NHodgins J(2014)Multi-layer skin simulation with adaptive constraintsProceedings of the 7th International Conference on Motion in Games10.1145/2668084.2668089(171-176)Online publication date: 6-Nov-2014
https://dl.acm.org/doi/10.1145/2668084.2668089
Li PKry PShapiro AAmato NHodgins J(2014)Multi-layer skin simulation with adaptive constraintsProceedings of the 7th International Conference on Motion in Games10.1145/2668064.2668089(171-176)Online publication date: 6-Nov-2014
https://dl.acm.org/doi/10.1145/2668064.2668089
Saito SUmetani NMorishima S(2014)Macroscopic and microscopic deformation coupling in up-sampled cloth simulationComputer Animation and Virtual Worlds10.1002/cav.158925:3-4(437-446)Online publication date: 1-May-2014
https://dl.acm.org/doi/10.1002/cav.1589
Show More Cited By

View Options

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Full Access

Get this Publication

View options

PDF

View or Download as a PDF file.

eReader

View online with eReader.

Figures

Tables

Media

View Table of Conten