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| Content Provider | ACM Digital Library |
|---|---|
| Author | Stewart, A. James Inoue, Jiro |
| Abstract | Sphere packing arrangements are frequently found in nature, exhibiting efficient space-filling and energy minimization properties. Close sphere packings provide a tight, uniform, and highly symmetric spatial sampling at a single resolution. We introduce the Multiresolution Sphere Packing Tree (MSP-tree): a hierarchical spatial data structure based on sphere packing arrangements suitable for 3D space representation and selective refinement. Compared to the commonly used octree, MSP-tree offers three advantages: a lower fanout (a factor of four compared to eight), denser packing (about 24% denser), and persistence (sphere centers at coarse resolutions persist at finer resolutions). We present MSP-tree both as a region-based approach that describes the refinement mechanism succintly and intuitively, and as a lattice-based approach better suited for implementation. The MSP-tree offers a robust, highly symmetric tessellation of 3D space with favorable image processing properties. |
| Starting Page | 367 |
| Ending Page | 373 |
| Page Count | 7 |
| File Format | |
| ISBN | 9781605581064 |
| DOI | 10.1145/1364901.1364954 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2008-06-02 |
| Publisher Place | New York |
| Access Restriction | Subscribed |
| Subject Keyword | Multiresolution Sphere packing Msp-tree Selective refinement |
| Content Type | Text |
| Resource Type | Article |
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