Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
440643 | Computer Aided Geometric Design | 2012 | 10 Pages |
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 using a set of cone-spheres as bounding volumes. For two canal surfaces, we use the distances between their bounding cone-spheres to approximate their distance; the accuracy of this approximation is improved progressively by subdividing the canal surfaces into more segments and using more cone-spheres to bound the segments, until a pre-specified threshold is reached. Experimental comparisons show that our method is more efficient than Lee et al.ʼs method (Lee et al., 2007).
► We present an accurate and efficient method for computing the distance between two canal surfaces. We use a set of cone-spheres as bounding volumes. ► We use the distances between their bounding cone-spheres to approximate their distance. ► We improve the approximation progressively by subdividing the canal surfaces. ► Experimental comparisons show that our method is more efficient than Lee et al.ʼs method.