Abstract
This paper proposes a general approach to design automatic controls to manipulate elastic objects into desired shapes. The object’s geometric model is defined as the shape feature based on the specific task to globally describe the deformation. Raw visual feedback data is processed using classic regression methods to identify parameters of data-driven geometric models in real-time. Our proposed method is able to analytically compute a pose-shape Jacobian matrix based on implicit functions. This model is then used to derive a shape servoing controller. To validate the proposed method, we report a detailed experimental study with robotic manipulators deforming an elastic rod.
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References
Kimura, M., Sugiyama, Y., Tomokuni, S., Hirai, S.: Constructing rheologically deformable virtual objects. In: IEEE International Conference on Robotics and Automation, vol. 3, pp. 3737–3743 (2003)
Petit, A., Ficuciello, F., Fontanelli, G.A., Villani, L., Siciliano, B.: Using physical modeling and rgb-d registration for contact force sensing on deformable objects (2017)
Navarro-Alarcon, D., Liu, Y.-H.: Fourier-based shape servoing: a new feedback method to actively deform soft objects into desired 2-d image contours. IEEE Trans. Robot. 34(1), 272–279 (2018)
Chaumette, F., Hutchinson, S.: Visual servo control. i. basic approaches. IEEE Robot. Autom. Mag. 13(4), 82–90 (2006)
Wang, Z., Li, X., Navarro-Alarcon, D., Liu, Y.-H.: A unified controller for region-reaching and deforming of soft objects. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, 2018, pp. 472–478 (2018)
Navarro-Alarcon, D., Liu, Y.: A dynamic and uncalibrated method to visually servo-control elastic deformations by fully-constrained robotic grippers 2014, 4457–4462 (2014)
Fugl, A.R., Jordt, A., Petersen, H.G., Willatzen, M., Koch, R.: Simultaneous estimation of material properties and pose for deformable objects from depth and color images. In: Joint DAGM and OAGM Symposium, 2012, pp. 165–174 (2012)
Zhu, J., Navarro-Alarcon, D., Passama, R., Cherubini, A.: Vision-based manipulation of deformable and rigid objects using subspace projections of 2d contours. Robotics & Autonomous Systems (in press) (2021)
Laranjeira, M., Dune, C., Hugel, V.: Catenary-based visual servoing for tether shape control between underwater vehicles. Ocean Engineering, vol. 200 (2020)
Nair, A., et al.: Combining self-supervised learning and imitation for vision-based rope manipulation. In: 2017 IEEE Int. Conf. on Robotics and Automation, pp. 2146–2153 (2017)
Giiler, P., Pauwels, K., Pieropan, A., Kjellström, H., Kragic, D.: Estimating the deformability of elastic materials using optical flow and position-based dynamics. In: IEEE Int. Conf. on Humanoid Robots, 2015, pp. 965–971 (2015)
Hu, Z., Han, T., Sun, P., Pan, J., Manocha, D.: 3-d deformable object manipulation using deep neural networks. IEEE Robotics and Automation Letters 4(4), 4255–4261 (2019)
Huang, J., Menq, C.-H.: Combinatorial manifold mesh reconstruction and optimization from unorganized points with arbitrary topology. Computer-Aided Design 34(2), 149–165 (2002)
Navarro-Alarcon, D., Qi, J., Zhu, J., Cherubini, A.: A Lyapunov-stable adaptive method to approximate sensorimotor models for sensor-based control. Frontiers in Neurorobotics 14(59), 1–12 (2020)
Axelsson, O.: A generalized conjugate gradient, least square method. Numerische Mathematik 51(2), 209–227 (1987)
Jittorntrum, K.: An implicit function theorem. Journal of Optimization Theory and Applications 25(4), 575–577 (1978)
Ha, S., Coros, S., Alspach, A., Kim, J., Yamane, K.: Joint optimization of robot design and motion parameters using the implicit function theorem. In: Robotics: Science and Systems (2017)
Hutchinson, S., Chaumette, F.: Visual servo control, part i: Basic approaches. IEEE Robot. Autom. Mag. 13(4), 82–90 (2006)
Chaumette, F., Hutchinson, S.: Visual servo control. ii. advanced approaches. IEEE Robot. Autom. Mag. 14(1), 109–118 (2007)
Navarro-Alarcon, D., Zahra, O., Trejo, C., Olguin-Diaz, E., Parra-Vega, V.: Computing pressure-deformation maps for braided continuum robots 6, 4 (2019)
Acknowledgements
This work is supported in part by the Research Grants Council (grants 14203917, G-PolyU507/18), in part by the Jiangsu Industrial Technology Research Institute Collaborative Research Program Scheme (grant ZG9V), in part by the Key-Area Research and Development Program of Guangdong Province 2020 (project 76), and in part by PolyU (grants YBYT, ZZHJ).
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Ma, W., Zhu, J., Navarro-Alarcon, D. (2022). Shape Control of Elastic Objects Based on Implicit Sensorimotor Models and Data-Driven Geometric Features. In: Ang Jr, M.H., Asama, H., Lin, W., Foong, S. (eds) Intelligent Autonomous Systems 16. IAS 2021. Lecture Notes in Networks and Systems, vol 412. Springer, Cham. https://doi.org/10.1007/978-3-030-95892-3_40
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DOI: https://doi.org/10.1007/978-3-030-95892-3_40
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