ABSTRACT
In this paper, we propose a measurement-based modeling framework for hyper-elastic material identification and real-time haptic rendering. We build a custom data collection setup that captures shape deformation and response forces during compressive deformation of cylindrical material samples. We collected training and testing sets of data from four silicone objects having various material profiles. We design an objective function for material parameter identification by incorporating both shape deformation and reactive forces and utilize a genetic algorithm. We adopted an optimization-based Finite Element Method (FEM) for object deformation rendering. The numerical error of simulated forces was found to be perceptually negligible.
References
- Arsen Abdulali, Waseem Hassan, and Seokhee Jeon. 2016. Stimuli-magnitude-adaptive sample selection for data-driven haptic modeling. Entropy 18, 6 (2016), 222.Google Scholar
Cross Ref
- Arsen Abdulali and Seokhee Jeon. 2016. Data-driven modeling of anisotropic haptic textures: Data segmentation and interpolation. In International Conference on Human Haptic Sensing and Touch Enabled Computer Applications. Springer, 228–239.Google Scholar
Cross Ref
- Arsen Abdulali, Ruslan Rakhmatov, Tatyana Ogay, and Seokhee Jeon. 2018. Data-Driven Modeling and Rendering of Force Responses from Elastic Tool Deformation. Sensors 18, 1 (2018), 237.Google Scholar
Cross Ref
- Gérald Bianchi, Barbara Solenthaler, Gábor Székely, and Matthias Harders. 2004. Simultaneous topology and stiffness identification for mass-spring models based on fem reference deformations. In International Conference on Medical Image Computing and Computer-Assisted Intervention. Springer, 293–301.Google Scholar
Cross Ref
- Bernd Bickel, Moritz Bächer, Miguel A Otaduy, Wojciech Matusik, Hanspeter Pfister, and Markus Gross. 2009. Capture and modeling of non-linear heterogeneous soft tissue. In ACM Transactions on Graphics (TOG), Vol. 28. ACM, 89.Google Scholar
- Desai Chen, David IW Levin, Shinjiro Sueda, and Wojciech Matusik. 2015. Data-driven finite elements for geometry and material design. ACM Transactions on Graphics (TOG) 34, 4 (2015), 74.Google Scholar
Digital Library
- Stéphane Cotin, Hervé Delingette, and Nicholas Ayache. 1999. Real-time elastic deformations of soft tissues for surgery simulation. IEEE transactions on Visualization and Computer Graphics 5, 1(1999), 62–73.Google Scholar
- Hadrien Courtecuisse, Yinoussa Adagolodjo, Hervé Delingette, and Christian Duriez. 2015. Haptic rendering of hyperelastic models with friction. In 2015 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 591–596.Google Scholar
Cross Ref
- Hadrien Courtecuisse, Jérémie Allard, Pierre Kerfriden, Stéphane PA Bordas, Stéphane Cotin, and Christian Duriez. 2014. Real-time simulation of contact and cutting of heterogeneous soft-tissues. Medical image analysis 18, 2 (2014), 394–410.Google Scholar
- François Dervaux, Igor Peterlik, Jérémie Dequidt, Stéphane Cotin, and Christian Duriez. 2013. Haptic rendering of interacting dynamic deformable objects simulated in real-time at different frequencies. In 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems. IEEE, 2010–2016.Google Scholar
Cross Ref
- Marco Fratarcangeli, Valentina Tibaldo, and Fabio Pellacini. 2016. Vivace: A practical gauss-seidel method for stable soft body dynamics. ACM Transactions on Graphics (TOG) 35, 6 (2016), 214.Google Scholar
Digital Library
- Theodore F Gast, Craig Schroeder, Alexey Stomakhin, Chenfanfu Jiang, and Joseph M Teran. 2015. Optimization integrator for large time steps. IEEE transactions on visualization and computer graphics 21, 10(2015), 1103–1115.Google Scholar
- Orcun Goksel, Seokhee Jeon, Matthias Harders, and Gábor Székely. 2013. Deformable haptic model generation through manual exploration. In 2013 World Haptics Conference (WHC). IEEE, 543–548.Google Scholar
Cross Ref
- Matthias Harders, Raphael Hoever, Serge Pfeifer, and Thibaut Weise. 2012. Data-Driven Visuo-Haptic Rendering of Deformable Bodies. In Immersive Multimodal Interactive Presence. Springer, 131–155.Google Scholar
- Raphael Hover, Matthias Harders, and Gabor Szekely. 2008. Data-driven haptic rendering of visco-elastic effects. In 2008 Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems. IEEE, 201–208.Google Scholar
Digital Library
- Raphael Hover, Gábor Kósa, Gabor Szekly, and Matthias Harders. 2009. Data-driven haptic rendering—from viscous fluids to visco-elastic solids. IEEE Transactions on Haptics 2, 1 (2009), 15–27.Google Scholar
Digital Library
- Raphael Höver, Massimiliano Di Luca, and Matthias Harders. 2010. User-based evaluation of data-driven haptic rendering. ACM Transactions on Applied Perception (TAP) 8, 1 (2010), 7.Google Scholar
- Junggon Kim and Nancy S Pollard. 2011. Fast simulation of skeleton-driven deformable body characters. ACM Transactions on Graphics (TOG) 30, 5 (2011), 121.Google Scholar
Digital Library
- Thomas C Knott and Torsten W Kuhlen. 2015. Accurate contact modeling for multi-rate single-point haptic rendering of static and deformable environments. (2015).Google Scholar
- Thomas C Knott and Torsten W Kuhlen. 2016. Accurate and adaptive contact modeling for multi-rate multi-point haptic rendering of static and deformable environments. Computers & Graphics 57(2016), 68–80.Google Scholar
Digital Library
- Bryn Lloyd, Gábor Székely, and Matthias Harders. 2007. Identification of spring parameters for deformable object simulation. IEEE Transactions on Visualization and Computer Graphics 13, 5(2007), 1081–1094.Google Scholar
Digital Library
- Stéphanie Marchesseau, Tobias Heimann, Simon Chatelin, Rémy Willinger, and Hervé Delingette. 2010. Multiplicative jacobian energy decomposition method for fast porous visco-hyperelastic soft tissue model. In International Conference on Medical Image Computing and Computer-Assisted Intervention. Springer, 235–242.Google Scholar
Cross Ref
- Frédéric Mazzella, Kevin Montgomery, and J-C Latombe. 2002. The forcegrid: a buffer structure for haptic interaction with virtual elastic objects. In Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No. 02CH37292), Vol. 1. IEEE, 939–946.Google Scholar
Cross Ref
- Arash Mohammadi, Houshyar Asadi, Shady Mohamed, Kyle Nelson, and Saeid Nahavandi. 2017. OpenGA, a C++ Genetic Algorithm Llibrary. In Systems, Man, and Cybernetics (SMC), 2017 IEEE International Conference on. IEEE, 2051–2056.Google Scholar
- Matthew Overby, George E. Brown, Jie Li, and Rahul Narain. 2017. ADMM ⊇ Projective Dynamics: Fast Simulation of Hyperelastic Models with Dynamic Constraints. IEEE Transactions on Visualization and Computer Graphics 23, 10 (Oct 2017), 2222–2234. https://doi.org/10.1109/TVCG.2017.2730875Google Scholar
Cross Ref
- Dinesh K Pai, Kees van den Doel, Doug L James, Jochen Lang, John E Lloyd, Joshua L Richmond, and Som H Yau. 2001. Scanning physical interaction behavior of 3D objects. In Proceedings of the 28th annual conference on Computer graphics and interactive techniques. ACM, 87–96.Google Scholar
Digital Library
- Igor Peterlik, Christian Duriez, and Stéphane Cotin. 2011. Asynchronous haptic simulation of contacting deformable objects with variable stiffness. In 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems. IEEE, 2608–2613.Google Scholar
Cross Ref
- I. Peterlik, M. Nouicer, C. Duriez, S. Cotin, and A. Kheddar. 2011. Constraint-Based Haptic Rendering of Multirate Compliant Mechanisms. IEEE Transactions on Haptics 4, 3 (July 2011), 175–187. https://doi.org/10.1109/TOH.2011.41Google Scholar
Digital Library
- Kazuya Sase, Teppei Tsujita, and Atsushi Konno. 2016. Haptic rendering of contact between rigid and deformable objects based on penalty method with implicit time integration. In 2016 IEEE International Conference on Robotics and Biomimetics (ROBIO). IEEE, 1594–1600.Google Scholar
Cross Ref
- Hirofumi Uzawa. 1958. Iterative methods for concave programming. Studies in linear and nonlinear programming 6 (1958), 154–165.Google Scholar
- Bin Wang, Longhua Wu, KangKang Yin, Uri Ascher, Libin Liu, and Hui Huang. 2015. Deformation capture and modeling of soft objects. ACM Transactions on Graphics (TOG) 34, 4 (2015), 94.Google Scholar
Digital Library
- Sunghoon Yim, Seokhee Jeon, and Seungmoon Choi. 2016. Data-driven haptic modeling and rendering of viscoelastic and frictional responses of deformable objects. IEEE transactions on haptics 9, 4 (2016), 548–559.Google Scholar



Comments