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Real-time surface manipulation with C<sup>1</sup> continuity through simple and efficient physics-based deformations.

Wang, S., Xiang, N., Xia, Y., You, L. and Zhang, J., 2021. Real-time surface manipulation with C<sup>1</sup> continuity through simple and efficient physics-based deformations. Visual Computer. (In Press)

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DOI: 10.1007/s00371-021-02169-4

Abstract

We present a novel but simple physics-based method to interactively manipulate surface shapes of 3D models with C1 continuity in real time. A fourth-order partial differential equation involving a sculpting force originating from elastic bending of thin plates is proposed to define physics-based deformations and achieve C1 continuity at the boundary of deformation regions. In order to obtain real-time physics-based surface manipulation, we construct a mapping relationship between a deformation region in a 3D coordinate space and a unit circle on a 2D parametric plane, formulate corresponding C1 continuous boundary conditions for the unit circle, and obtain a simple analytical solution to describe the physics-based deformation in the unit circle caused by a sculpting force. After that, the obtained physics-based deformation is mapped back to the 3D coordinate space, and added to the original surface to create a new surface shape with C1 continuity at the boundary of the deformation region. We also develop an interactive user interface as a plug-in of the 3D modelling software package Maya to achieve real-time surface manipulation. The effectiveness, easiness, real-time performance, and better realism of our proposed method is demonstrated by testing surface deformations on several 3D models and comparing with other methods and ground-truth deformations.

Item Type:Article
ISSN:0178-2789
Additional Information:This research is supported by the PDE-GIR project which has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 778035.
Uncontrolled Keywords:Surface manipulation · Physics-based deformations · Partial differential equation · User interface · Mapping
Group:Faculty of Media & Communication
ID Code:35698
Deposited By: Unnamed user with email symplectic@symplectic
Deposited On:28 Jun 2021 14:19
Last Modified:04 Aug 2021 10:53

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