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Dynamic kelvinlets: secondary motions based on fundamental solutions of elastodynamics

Authors:

Fernando De Goes,

Doug L. JamesAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 37, Issue 4

Article No.: 81, Pages 1 - 10

https://doi.org/10.1145/3197517.3201280

Published: 30 July 2018 Publication History

Abstract

We introduce Dynamic Kelvinlets, a new analytical technique for real-time physically based animation of virtual elastic materials. Our formulation is based on the dynamic response to time-varying force distributions applied to an infinite elastic medium. The resulting displacements provide the plausibility of volumetric elasticity, the dynamics of compressive and shear waves, and the interactivity of closed-form expressions. Our approach builds upon the work of de Goes and James [2017] by presenting an extension of the regularized Kelvinlet solutions from elastostatics to the elastodynamic regime. To finely control our elastic deformations, we also describe the construction of compound solutions that resolve pointwise and keyframe constraints. We demonstrate the versatility and efficiency of our method with a series of examples in a production grade implementation.

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References

[1]

K. Aki and P.G. Richards. 1980. Quantitative Seismology: Theory and Methods. W.H. Freeman, San Francisco I (1980).

[2]

S. S. An, T. Kim, and D. L. James. 2008. Optimizing cubature for efficient integration of subspace deformations. In ACM Trans. Graph., Vol. 27. ACM, 165.

Digital Library

[3]

A. Angelidis and K. Singh. 2007. Kinodynamic Skinning Using Volume-preserving Deformations. In Proc. of the 2007 ACM SIGGRAPH/Eurographics Symp. on Computer Animation. 129--140.

Digital Library

[4]

Autodesk. 2016. Maya User Guide. (2016). https://autodesk.com/maya.

[5]

R. Barzel. 1997. Faking dynamics of ropes and springs. IEEE Computer Graphics and Applications 17, 3 (1997), 31--39.

Digital Library

[6]

S. Bouaziz, S. Martin, T. Liu, L. Kavan, and M. Pauly. 2014. Projective Dynamics: Fusing Constraint Projections for Fast Simulation. ACM Trans. Graph. 33, 4, Article 154 (2014).

Digital Library

[7]

J. A. Canabal, D. Miraut, N. Thürey, T. Kim, J. Portilla, and M. A. Otaduy. 2016. Dispersion Kernels for Water Wave Simulation. ACM Trans. on Graph. 35, 6 (2016).

Digital Library

[8]

M. G. Choi and H.-S. Ko. 2005. Modal Warping: Real-Time Simulation of Large Rotational Deformation and Manipulation. IEEE Trans. on Visualization and Computer Graphics 11, 1 (2005), 91--101.

Digital Library

[9]

R. Cortez. 2001. The Method of Regularized Stokeslets. SIAM J. on Scientific Computing 23, 4 (2001), 1204--1225.

Digital Library

[10]

R. Cortez, L. Fauci, and A. Medovikov. 2005. The method of regularized Stokeslets in three dimensions: Analysis, validation, and application to helical swimming. Physics of Fluids 17 (2005).

[11]

F. de Goes and D. L. James. 2017. Regularized Kelvinlets: Sculpting Brushes Based on Fundamental Solutions of Elasticity. ACM Trans. Graph. 36, 4, Article 40 (2017).

Digital Library

[12]

J. Dominguez. 1993. Boundary Elements in dynamics. WIT Press.

[13]

F. Hahn, S. Martin, B. Thomaszewski, R. Sumner, S. Coros, and M. Gross. 2012. Rig-space Physics. ACM Trans. Graph. 31, 4 (2012).

Digital Library

[14]

J. Huang, Y. Tong, K. Zhou, H. Bao, and M. Desbrun. 2011. Interactive Shape Interpolation Through Controllable Dynamic Deformation. IEEE Trans. on Visualization and Computer Graphics 17, 7 (2011), 983--992.

Digital Library

[15]

D. L. James and D. K. Pai. 2002. DyRT: dynamic response textures for real time deformation simulation with graphics hardware. In ACM Trans. Graph., Vol. 21. ACM, 582--585.

Digital Library

[16]

S. Jeschke and C. Wojtan. 2015. Water wave animation via wavefront parameter interpolation. ACM Trans. Graph. 34, 3 (2015), 27.

Digital Library

[17]

S. Jeschke and C. Wojtan. 2017. Water wave packets. ACM Trans. Graph. 36, 4 (2017), 103.

Digital Library

[18]

M. Kass and J. Anderson. 2008. Animating oscillatory motion with overlap: wiggly splines. In ACM Trans. Graph., Vol. 27. ACM, 28.

Digital Library

[19]

M. Kass and G. Miller. 1990. Rapid, Stable Fluid Dynamics for Computer Graphics. SIGGRAPH 24, 4 (1990), 49--57.

Digital Library

[20]

E. Kausel. 2006. Fundamental Solutions in Elastodynamics: A Compendium. Cambridge University Press.

[21]

T. Liu, A. W. Bargteil, J. F. O'Brien, and L. Kavan. 2013. Fast Simulation of Mass-spring Systems. ACM Trans. Graph. 32, 6, Article 214 (2013).

Digital Library

[22]

M. Müller and N. Chentanez. 2011. Solid Simulation with Oriented Particles. ACM Trans. Graph. 30, 4, Article 92 (2011).

Digital Library

[23]

M. Müller and M. H. Gross. 2004. Interactive Virtual Materials. In Graphics Interface 2004. 239--246.

Digital Library

[24]

M. Müller, B. Heidelberger, M. Teschner, and M. Gross. 2005. Meshless deformations based on shape matching. ACM Trans. Graph. 24, 3 (2005), 471--478.

Digital Library

[25]

A. Nealen, M. Müller, R. Keiser, E. Boxerman, and M. Carlson. 2006. Physically based deformable models in computer graphics. In Computer graphics forum, Vol. 25. 809--836.

[26]

G. Nielson, H. Hagen, and H. Müller. 1997. Scientific Visualization. IEEE Computer Society.

[27]

M. Pauly, D. K. Pai, and L. J. Guibas. 2004. Quasi-rigid Objects in Contact. In Proc. of the 2004 ACM SIGGRAPH/Eurographics Symp. on Computer Animation. Eurographics Association, 109--119.

Digital Library

[28]

A. Pentland and J. Williams. 1989. Good Vibrations: Modal Dynamics for Graphics and Animation. SIGGRAPH Comput. Graph. 23, 3 (1989), 207--214.

Digital Library

[29]

J. Reinders. 2007. Intel Threading Building Blocks. O'Reilly & Associates, Inc.

Digital Library

[30]

C. Schulz, C. von Tycowicz, H.-P. Seidel, and K. Hildebrandt. 2014. Animating Deformable Objects Using Sparse Spacetime Constraints. ACM Trans. Graph. 33, 4, Article 109 (2014).

Digital Library

[31]

C. Shen, T. Hahn, B. Parker, and S. Shen. 2015. Animation Recipes: Turning an Animator's Trick into an Automatic Animation System. In ACM SIGGRAPH Talks. ACM, Article 29.

Digital Library

[32]

Side Effects. 2018. Houdini Engine. (2018). http://www.sidefx.com.

[33]

G. G. Stokes. 1849. On the dynamical theory of diffraction. Trans. Camb. Phil. Soc. 9 (1849), 1--62.

[34]

J. Tessendorf. 2001. Simulating ocean water. Simulating nature: realistic and interactive techniques. SIGGRAPH Courses 1, 2 (2001), 5.

[35]

W. von Funck, H. Theisel, and H. P. Seidel. 2006. Vector field based shape deformations. ACM Trans. on Graph. 25, 3 (2006), 1118--1125.

Digital Library

[36]

W. von Funck, H. Theisel, and H. P. Seidel. 2007. Elastic Secondary Deformations by Vector Field Integration. In Proc. of the Fifth Eurographics Symp. on Geometry Processing. 99--108.

Digital Library

[37]

C. Yuksel, D. H. House, and J. Keyser. 2007. Wave particles. In ACM Trans. Graph., Vol. 26. ACM, 99.

Digital Library

Cited By

Chen JDe Goes FDesbrun M(2023)Somigliana Coordinates: an elasticity-derived approach for cage deformationACM SIGGRAPH 2023 Conference Proceedings10.1145/3588432.3591519(1-8)Online publication date: 23-Jul-2023
https://dl.acm.org/doi/10.1145/3588432.3591519
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
Sugimoto RBatty CHachisuka T(2023)Surface‐Only Dynamic Deformables using a Boundary Element MethodComputer Graphics Forum10.1111/cgf.1462541:8(75-86)Online publication date: 20-Mar-2023
https://doi.org/10.1111/cgf.14625
Show More Cited By

Index Terms

Dynamic kelvinlets: secondary motions based on fundamental solutions of elastodynamics
1. Computing methodologies
  1. Computer graphics
    1. Animation
      1. Physical simulation
      2. Procedural animation

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Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 37, Issue 4

August 2018

1670 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3197517

Issue’s Table of Contents

Copyright © 2018 Owner/Author.

Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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Association for Computing Machinery

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Publication History

Published: 30 July 2018

Published in TOG Volume 37, Issue 4

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Cited By

Chen JDe Goes FDesbrun M(2023)Somigliana Coordinates: an elasticity-derived approach for cage deformationACM SIGGRAPH 2023 Conference Proceedings10.1145/3588432.3591519(1-8)Online publication date: 23-Jul-2023
https://dl.acm.org/doi/10.1145/3588432.3591519
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
Sugimoto RBatty CHachisuka T(2023)Surface‐Only Dynamic Deformables using a Boundary Element MethodComputer Graphics Forum10.1111/cgf.1462541:8(75-86)Online publication date: 20-Mar-2023
https://doi.org/10.1111/cgf.14625
Kira SNakayama MFujishiro I(2022)Jacobian-free Deformation of Genus-0 Surfaces種数0サーフェスのヤコビアンフリーな変形シミュレーションThe Journal of the Society for Art and Science10.3756/artsci.21.14621:3(146-156)Online publication date: 30-Sep-2022
https://doi.org/10.3756/artsci.21.146
Chen JDesbrun M(2022)Go Green: General Regularized Green’s Functions for ElasticityACM SIGGRAPH 2022 Conference Proceedings10.1145/3528233.3530726(1-8)Online publication date: 27-Jul-2022
https://dl.acm.org/doi/10.1145/3528233.3530726
de Goes FJames DKao SBalents BRoy TRose R(2019)Sharp kelvinletsProceedings of the 2019 Digital Production Symposium10.1145/3329715.3338884(1-8)Online publication date: 27-Jul-2019
https://dl.acm.org/doi/10.1145/3329715.3338884
Schreck CHafner CWojtan C(2019)Fundamental solutions for water wave animationACM Transactions on Graphics10.1145/3306346.332300238:4(1-14)Online publication date: 12-Jul-2019
https://dl.acm.org/doi/10.1145/3306346.3323002
Villemin RHu CKonishi SNarita HWrenninge MYu DO'Sullivan C(2018)Art and technology at PixarSIGGRAPH Asia 2018 Courses10.1145/3277644.3277785(1-68)Online publication date: 4-Dec-2018
https://dl.acm.org/doi/10.1145/3277644.3277785

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