Vector-Inner-Product-based Bending Force Calculation for Numerical Convergence Improvement
Vol. 56, No. 4, pp. 215-221,
Aug. 2019
10.12772/TSE.2019.56.215
PDF
Abstract
Realistic garment simulations are required not only for academic research but
also for use in practical applications such as computer-aided garment design systems.
There have been several previous approaches to simulate garment deformation, including
the well-known continuum mechanics and fsinite element method. Although, the particlebased
method has been more favored in the area of computer graphics, because of its
numerical stability and calculation speed. However, the calculation of bending force and its
derivatives is a major time bottleneck, along with the collision detection and linear system
solving process. Therefore, this study proposes a new theoretical framework with a vectorinner-
product-based bending force term to avoid heavy calculations incurred through the
conventional angle-based formula. The commercial software Mathematica®, was adopted
to derive the tensor products efficiently; in addition, the final calculation speed benchmarking
was tested using a three-pieced female garment data set. The sparsity of the final
linear matrix was decreased and the resulting final calculation speed-up was 3.3%, for a virtual
female garment dress simulation with 7,783 triangular elements.
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