A Deformable Surface Model with Volume Preserving Springs

Chapter 4: Simulating a Deformable Object Using a Surface Mass Spring System

“…[8] attempted properties re-estimation after surface refinement based on the topology but the behaviour patterns between the coarse and the refined area do not coincide. The behaviour is improved by our method discussed in [10] where these patterns achieve a higher level of coincidence.…”

“…However, the stiffness of the springs was either statistically fine-tuned based on predefined properties [9] or regularly distributed. [10] extended this method by extracting the properties of the springs based on radial links [11][12].…”

“…To address the issue of properties estimation as well as the non-existence of inner volume for the proposed surface model, the object's internal volume represented by the surface elements has to be considered. This framework extended the scheme described in [10], where a surface mass spring systems with additional shape preserving springs are employed.…”

“…The radial link method in [10] is extended, where the new distance vector with length L i ', relative to the object centre of mass, the initial length L i and the surface normal at the node, are derived. The new volume (Figure 3) is based on node p i relative to the new centre point c i and the other nodes or vertices of the triangular element.…”

“…This approach is more accurate compared to the radial link method [10]. For instance, for a rectangular prism with regular mesh topology, the properties for the inner stiffness and mass for the nodes (as illustrated in figure 4) should be the same.…”