Alex Rand | Research | Software | Teaching |
Papers
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Alexander Rand and
Noel Walkington.
Collars and Intestines: Practical Conforming Delaunay Refinement.
To appear in the Proceedings of the 18th International Meshing Roundtable, 2009.
An extended version containing proofs of the theorems can be found here. -
Alexander Rand and
Noel Walkington.
Delaunay Refinement Algorithms for Estimating Local Feature Size
Submitted, 2009. -
Alexander Rand.
Delaunay Refinement Algorithms for Numerical Methods.
Carnegie Mellon University Ph.D. thesis, 2009. -
Alexander Rand and
Noel Walkington.
3D Delaunay Refinement of Sharp Domains Without a Local Feature Size Oracle.
In the Proceedings of the 17th International Meshing Roundtable, 2008. -
Alexander Rand.
Reordering Ruppert's Algorithm.
18th Fall Workshop on Computational Geometry, 2008.
An extended version containing proofs of the theorems can be found here. -
Maria Emelianenko,
Lili Ju, and
Alexander Rand.
Nondegeneracy and Weak Global Convergence of the Lloyd Algorithm in $R^d$.
SIAM Journal on Numerical Analysis. 46(3): 1423-1441, 2008.
Media
Here are some videos of some 3D meshes generated by the algorithm described in the IMR paper listed above.
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Here are some examples of Ruppert's algorithm on simple 2D input, contrasted with a reordered approach which prioritizes mesh quality over mesh conformity.
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