دانلود رایگان مقاله vademecums محاسباتی برای شبیه سازی برخورد لمسی بین مواد جامد غیر خطی

Abstract

In this paper a novel strategy is presented for the real-time simulation of contact between non-linear deformable solids at haptic feedback rates. The proposed method is somehow related to the Voxmap Pointshell method for two deformable solids. Its novelty and crucial advantages over existing implementations of this algorithm come from the intensive use of computational vademecums. These are in essence a pre-computed solution of a parametric model in which every possible situation during the on-line phase of the method has been considered through the introduction of the appropriate parameters. Such a high-dimensional parametric model is efficiently solved by using Proper Generalized Decompositions (PGD) and stored in memory as a set of vectors. The paper presents a thorough description of the developed algorithm together with some examples of its performance.

5. Conclusions

In this paper a method for the real-time detection of collision between deformable solids has been presented. Although inspired by existing algorithms, the novelty of the proposed technique lies in the use of computational vademecums, i.e., pre-computed solutions that are exploited on-line at very high feedback rates. Here, the proposed method has been successfully tested on a Geomagic Touch device needing for 1 kHz feedback rates. These extremely efficient vademecums are previously computed with the help of Proper Generalized Decomposition strategies, in order to alleviate the burden associated with the curse of dimensionality, i.e., the exponential increase of the number of degrees of freedom with the number of dimensions (parameters) of the problem.