Method for real-time simulation of haptic interaction with deformable objects using GPU-based parallel computing and homogeneous hexahedral elements


This paper proposes a method for simulating real-time haptic interaction with deformable objects. The deformable model consists of regular hexahedrons of a single type. This homogeneity is exploited to improve the efficiency in deformation computations. Model boundaries are approximated using a moving-least-squares function reflecting the deformation results of the hexahedrons. A method for adaptively approximating the model boundaries is presented for efficient collision handling in the haptic loop. The proposed method can simulate a model of 16,481 nodes in less than 1 ms, which is a significant improvement over the previous methods in the literature. Small gap between the model boundary and the hexahedrons can cause errors in the proposed method. Numerical examples considering the characteristics of human tissues show that the errors are less than just-noticeable difference of human.

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This work was supported by the National Research Foundation of Korea (NRF) Grants funded by the Ministry of Science and ICT (Nos. NRF-2015R1A2A1A10054420, and NRF-2019R1H1A2080008) and the Brain Korea 21 PLUS Program.

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Correspondence to Doo Yong Lee.

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Byeon, S.P., Lee, D.Y. Method for real-time simulation of haptic interaction with deformable objects using GPU-based parallel computing and homogeneous hexahedral elements. Comput Mech 65, 1205–1218 (2020).

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  • Haptic simulation
  • Interactive simulation
  • Parallel computing
  • Finite-element method
  • Deformable object
  • Physics-based model