Name
Abstract | ||
|---|---|---|
A canal surface is the envelope of a one-parameter set of moving spheres. We present an accurate and efficient method for computing the distance between two canal surfaces. First, we use a set of cone-spheres to enclose a canal surface. A cone-sphere is a surface generated by sweeping a sphere along a straight line segment with the radius of the sphere changing linearly; thus it is a truncated circular cone capped by spheres at the two ends. Then, for two canal surfaces we use the distances between their bounding cone-spheres to approximate their distance; the accuracy of this approximation is improved by subdividing the canal surfaces into more segments and use more cone-spheres to bound the segments, until a pre-specified threshold is reached. We present a method for computing tight bounding cone-spheres of a canal surface, which is an interesting problem in its own right. Based on it, we present a complete method for efficiently computing the distances between two canal surfaces using the distances among all pairs of their bounding cone-spheres. The key to its efficiency is a novel pruning technique that can eliminate most of the pairs of cone-spheres that do not contribute to the distance between the original canal surfaces. Experimental comparisons show that our method is more efficient than Lee et al's method [13] for computing the distance between two complex objects composed of many canal surfaces. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/978-3-642-13411-1_7 | GMP |
Keywords | Field | DocType |
novel pruning technique,interesting problem,complete method,canal surface,experimental comparison,original canal surface,own right,efficient method,complex object,pre-specified threshold,bounding volume | Line (geometry),Bounding volume,Mathematical optimization,Complete Method,SPHERES,Geometry,Mathematics,Bounding overwatch | Conference |
Volume | ISSN | ISBN |
6130 | 0302-9743 | 3-642-13410-6 |
Citations | PageRank | References |
1 | 0.36 | 17 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yanpeng Ma | 1 | 39 | 7.38 |
| Changhe Tu | 2 | 288 | 34.47 |
| Wenping Wang | 3 | 2491 | 176.19 |