This paper presents a geometric pruning method for computing the Hausdorff distance between two B-spline curves. It presents a heuristic method for obtaining the one-sided Hausdorff distance in some interval as a lower bound of the Hausdorff distance, which is also possibly the exact Hausdorff dista
Computation of the minimum distance between two Bézier curves/surfaces
✍ Scribed by Jung-Woo Chang; Yi-King Choi; Myung-Soo Kim; Wenping Wang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 428 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0097-8493
No coin nor oath required. For personal study only.
✦ Synopsis
We present an efficient and robust method based on the culling approach for computing the minimum distance between two Be ´zier curves or Be ´zier surfaces. Our contribution is a novel dynamic subdivision scheme that enables our method to converge faster than previous methods based on binary subdivision.
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Generati ng the Bezier poi nts of B-spline curves and surfaces ## Wolfgang B6hm The well-known algorithm by de Boor for calculating a point of a B-spline curve can also be used to produce the B&ier points of a B-spline curve or surface.