The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The quickhull algorithm for convex hulls
Open accessAbstract
The convex hull of a set of points is the smallest convex set that contains the points. This article presents a practical convex hull algorithm that combines the two-dimensional Quickhull algorithm with the general-dimension Beneath-Beyond Algorithm. It is similar to the randomized, incremental algorithms for convex hull and delaunay triangulation. We provide empirical evidence that the algorithm runs faster when the input contains nonextreme points and that it used less memory. computational geometry algorithms have traditionally assumed that input sets are well behaved. When an algorithm is implemented with floating-point arithmetic, this assumption can lead to serous errors. We briefly describe a solution to this problem when computing the convex hull in two, three, or four dimensions. The output is a set of “thick” facets that contain all possible exact convex hulls of the input. A variation is effective in five or more dimensions.
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Cites
Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator
Shewchuk, J. R. (1996) · Lecture Notes in Computer Science · doi:10.1007/bfb0014497 · Cited by 2,115
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Metadata
- Authors
- Barber, C. B., Dobkin, D. P., & Huhdanpaa, H.
- Venue
- ACM Transactions on Mathematical Software
- Published
- 1996-12
- Volume
- 22
- Issue
- 4
- Pages
- 469-483
- ISSN
- 0098-3500 (ISSN-L)
- 1557-7295
- OpenAlex
- W2153504150
- Cited by
- 5,359
- References
- 1
- FWCI
- 41.63
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Barber, C. B., Dobkin, D. P., & Huhdanpaa, H. (1996). The quickhull algorithm for convex hulls. ACM Transactions on Mathematical Software. https://doi.org/10.1145/235815.235821
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