Name
Abstract | ||
|---|---|---|
As ellipsoids have been employed in the collision handling of many applications in physical simulation and robotics systems, we present a novel algorithm for generating a bounding volume hierarchy (BVH) from a given model with ellipsoids as primitives. Our algorithm approximates the given model by a hierarchical set of optimized bounding ellipsoids. The ellipsoid-tree is constructed by a top-down splitting. Starting from the root of hierarchy, the volume occupied by a given model is divided into k sub-volumes where each is approximated by a volume bounding ellipsoid. Recursively, each sub-volume is then subdivided into ellipsoids for the next level in the hierarchy. The k ellipsoids at each hierarchy level for a sub-volume bounding is generated by a bottom-up algorithm - simply, the sub-volume is initially approximated by m spheres (m » k), which will be iteratively merged into k volume bounding ellipsoids and globally optimized to minimize the approximation error. Benefited from the anisotropic shape of primitives, the ellipsoid-tree constructed in our approach gives tighter volume bound and higher shape fidelity than another widely used BVH, sphere-tree. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1145/1236246.1236289 | Symposium on Solid and Physical Modeling |
Keywords | Field | DocType |
anisotropic shape,volume hierarchy,tighter volume,ellipsoid-tree construction,k sub-volumes,higher shape fidelity,bottom-up algorithm,novel algorithm,k ellipsoids,solid object,hierarchy level,k volume,global optimization,top down,approximation error,bounding volume hierarchy,bottom up,solid modeling | Bounding volume hierarchy,Minimum bounding box algorithms,Mathematical optimization,Ellipsoid,Bounding volume,Hierarchy,Approximation error,Bounding interval hierarchy,Mathematics,Bounding overwatch | Conference |
Citations | PageRank | References |
10 | 0.51 | 14 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shengjun Liu | 1 | 116 | 13.79 |
| Charlie C. L. Wang | 2 | 10 | 0.51 |
| k c hui | 3 | 153 | 18.70 |
| Xiaogang Jin | 4 | 1075 | 117.02 |
| Hanli Zhao | 5 | 160 | 17.20 |