More Web Proxy on the site http://driver.im/

Article

A quadratic bending model for inextensible surfaces

Authors:

Eitan GrinspunAuthors Info & Claims

SGP '06: Proceedings of the fourth Eurographics symposium on Geometry processing

Pages 227 - 230

Published: 26 June 2006 Publication History

Abstract

Relating the intrinsic Laplacian to the mean curvature normal, we arrive at a model for bending of inextensible surfaces. Due to its constant Hessian, our isometric bending model reduces cloth simulation times up to three-fold.

References

[1]

{BBG*01} Balay S., Buschelman K., Gropp W. D., Kaushik D., Knepley M., McInnes L. C., Smith B. F., Zhang H.: PETSc homepage. http://www.mcs.anl.gov/petsc, 2001.

[2]

{BFA02} Bridson R., Fedkiw R., Anderson J.: Robust treatment of collisions, contact and friction for cloth animation. ACM TOG 21, 3 (2002), 594--603.

Digital Library

[3]

{BMF03} Bridson R., Marino S., Fedkiw R.: Simulation of clothing with folds and wrinkles. SCA '03 (2003), 28--36.

Digital Library

[4]

{BS05} Bobenko A. I., Schröder P.: Discrete Willmore flow. Europgaphics Symposium on Geometry Processing (2005), 101--110.

Digital Library

[5]

{BW98} Baraff D., Witkin A.: Large steps in cloth simulation. In Proceedings of SIGGRAPH (1998), pp. 43--54.

Digital Library

[6]

{BWH*06} Bergou M., Wardetzky M., Harmon D., Zorin D., Grinspun E.: Discrete quadratic curvature energies. TR, Columbia University, 2006.

[7]

{CDD*04} Clarenz U., Diewald U., Dziuk G., Rumpf M., Rusu R.: A finite element method for surface restoration with smooth boundary conditions. CAGD (2004), 427--445.

Digital Library

[8]

{Cia00} Ciarlet P.: Mathematical Elasticity, Vol III. North-Holland, 2000.

[9]

{CK05} Choi K.-J., Ko H.-S.: Research problems in clothing simulation. Computer Aided Design 37, 6 (2005), 585--592.

Digital Library

[10]

{CR73} Crouzeix M., Raviart P. A.: Conforming and non-conforming finite elements for solving stationary Stokes equations. RAIRO Anal. Numer. 7 (1973), 33--76.

[11]

{CSM03} Cohen-Steiner D., Morvan J.-M.: Restricted Delaunay triangulations and normal cycle. SoCG 2003 (2003), 312--321.

Digital Library

[12]

{GHDS03} Grinspun E., Hirani A. N., Desbrun M., Schröder P.: Discrete shells. SCA '03 (2003), 62--67.

Digital Library

[13]

{Hau04} Hauth M.: Visual Simulation of Deformable Models. PhD thesis, University of Tübingen, 2004.

[14]

{HP04} Hildebrandt K., Polthier K.: Anisotropic filtering of non-linear surface features. Comput. Graph. Forum 23, 3 (2004), 391--400.

[15]

{Hug87} Hughes T. J. R.: Finite Element Method - Linear Static and Dynamic Finite Element Analysis. Prentice-Hall, Englewood Cliffs, 1987.

[16]

{KHM*98} Klosowski J. T., Held M., Mitchell J. S. B., Sowizral H., Zikan K.: Efficient collision detection using bounding volume hierarchies of k-dops. IEEE TVCG 4, 1 (January-March 1998), 21--36.

Digital Library

[17]

{MTV05} Magnenat-Thalmann N., Volino P.: From early draping to haute couture models: 20 years of research. The Visual Computer 21, 8-10 (2005), 506--519.

[18]

{NG96} Ng H. N., Grimsdale R. L.: Computer graphics techniques for modeling cloth. IEEE Computer Graphics & Applications 16, 5 (Sept. 1996), 28--41.

Digital Library

[19]

{PP93} Pinkall U., Polthier K.: Computing discrete minimal surfaces and their conjugates. Experim. Math. 2 (1993), 15--36.

[20]

{TPBF87} Terzopoulos D., Platt J., Barr A., Fleischer K.: Elastically deformable models. In Proceedings of SIGGRAPH (1987), pp. 205--214.

Digital Library

[21]

{TW06} Thomaszewski B., Wacker M.: Bending Models for Thin Flexible Objects. In WSCG Short Communication proceedings (2006).

[22]

{YB02} Yoshizawa S., Belyaev A.: Fair triangle mesh generation via discrete elastica. In GMP2002 (Wako, Saitama, Japan, July 2002), Suzuki H., Martin R., (Eds.), RIKEN (The Institute of Physical and Chemical Research), Japa, IEEE, pp. 119--123.

Digital Library

[23]

{ZJFP04} Zhu H., Jin X., Feng J., Peng Q.: Survey on cloth animation. Journal of Computer Aided Design & Computer Graphics 16, 5 (2004), 613--618.

[24]

{ZT00} Zienkiewicz O. C., Taylor R. L.: The finite element method: The basis, 5th ed., vol. 1. Butterworth and Heinemann, 2000.

Cited By

Yuan CShi HLan LQiu YYuksel CWang HJiang CWu KYang Y(2024)Volumetric Homogenization for Knitwear SimulationACM Transactions on Graphics10.1145/368791143:6(1-19)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687911
Lan LLu ZLong JYuan CLi XHe XWang HJiang CYang Y(2024)Efficient GPU Cloth Simulation with Non-distance Barriers and Subspace ReuseACM Transactions on Graphics10.1145/368776043:6(1-16)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687760
Montes Maestre JCoros SThomaszewski B(2024)Q3T Prisms: A Linear-Quadratic Solid Shell Element for Elastoplastic SurfacesSIGGRAPH Asia 2024 Conference Papers10.1145/3680528.3687697(1-9)Online publication date: 3-Dec-2024
https://dl.acm.org/doi/10.1145/3680528.3687697
Show More Cited By

Index Terms

A quadratic bending model for inextensible surfaces
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
2. Theory of computation
  1. Randomness, geometry and discrete structures
    1. Computational geometry

Recommendations

Designing Bending-Active Freeform Surfaces
SCF '24: Proceedings of the 9th ACM Symposium on Computational Fabrication

Bending-active structures are curved structures created using initially planar components that have been elastically bent so that they take on a three-dimensional shape. The 3D shape that the structure assumes depends not only on the applied external ...
Monocular Template-based Reconstruction of Inextensible Surfaces

We present a monocular 3D reconstruction algorithm for inextensible deformable surfaces. It uses point correspondences between a single image of the deformed surface taken by a camera with known intrinsic parameters and a template. The main assumption ...
On bending invariant signatures for surfaces

Isometric surfaces share the same geometric structure, also known as the "first fundamental form." For example, all possible bendings of a given surface that includes all length preserving deformations without tearing or stretching the surface are ...

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Conferences

SGP '06: Proceedings of the fourth Eurographics symposium on Geometry processing

June 2006

243 pages

ISBN:3905673363

Conference Chairs:
Alla Sheffer
University of British Columbia
,
Konrad Polthier
Freie Universität Berlin

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: 26 June 2006

Check for updates

Qualifiers

Article

Conference

SGP '06

Sponsor:

SIGGRAPH
EUROGRAPHICS

SGP '06: Geometry processing

June 26 - 28, 2006

Sardinia, Cagliari, Italy

Acceptance Rates

SGP '06 Paper Acceptance Rate 21 of 79 submissions, 27%;

Overall Acceptance Rate 64 of 240 submissions, 27%

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

46
Total Citations
View Citations
1
Total Downloads

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

Reflects downloads up to 11 Dec 2024

Other Metrics

View Author Metrics

Citations

Cited By

Yuan CShi HLan LQiu YYuksel CWang HJiang CWu KYang Y(2024)Volumetric Homogenization for Knitwear SimulationACM Transactions on Graphics10.1145/368791143:6(1-19)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687911
Lan LLu ZLong JYuan CLi XHe XWang HJiang CYang Y(2024)Efficient GPU Cloth Simulation with Non-distance Barriers and Subspace ReuseACM Transactions on Graphics10.1145/368776043:6(1-16)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687760
Montes Maestre JCoros SThomaszewski B(2024)Q3T Prisms: A Linear-Quadratic Solid Shell Element for Elastoplastic SurfacesSIGGRAPH Asia 2024 Conference Papers10.1145/3680528.3687697(1-9)Online publication date: 3-Dec-2024
https://dl.acm.org/doi/10.1145/3680528.3687697
Yu JWang Z(2024)Super-Resolution Cloth Animation with Spatial and Temporal CoherenceACM Transactions on Graphics10.1145/365814343:4(1-14)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658143
Liu CXu WYang YWang H(2024)Automatic Digital Garment Initialization from Sewing PatternsACM Transactions on Graphics10.1145/365812843:4(1-12)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658128
Wang ZYang YWang H(2023)Stable Discrete Bending by Analytic Eigensystem and Adaptive Orthotropic Geometric StiffnessACM Transactions on Graphics10.1145/361837242:6(1-16)Online publication date: 5-Dec-2023
https://dl.acm.org/doi/10.1145/3618372
Löschner FFernández-Fernández JJeske SLongva ABender J(2023)Micropolar Elasticity in Physically-Based AnimationProceedings of the ACM on Computer Graphics and Interactive Techniques10.1145/36069226:3(1-24)Online publication date: 24-Aug-2023
https://dl.acm.org/doi/10.1145/3606922
Bouaziz SMartin SLiu TKavan LPauly M(2023)Projective Dynamics: Fusing Constraint Projections for Fast SimulationSeminal Graphics Papers: Pushing the Boundaries, Volume 210.1145/3596711.3596794(787-797)Online publication date: 1-Aug-2023
https://dl.acm.org/doi/10.1145/3596711.3596794
Chen HZheng CWampler K(2023)Local Deformation for Interactive Shape EditingACM SIGGRAPH 2023 Conference Proceedings10.1145/3588432.3591501(1-10)Online publication date: 23-Jul-2023
https://dl.acm.org/doi/10.1145/3588432.3591501
Brown GNarain R(2021)WRAPDACM Transactions on Graphics10.1145/3450626.345994240:4(1-14)Online publication date: 19-Jul-2021
https://dl.acm.org/doi/10.1145/3450626.3459942
Show More Cited By

View Options

View options

Media

Figures

Other

Tables

View Table of Contents