Computational Geometry triangulation papers and programs, including meshing. 1991-1994.
Google scholar profile
I am currently doing technical work related to sampling, uncertainty quantification and high dimensional space exploration, computational geometry, computer science, discrete math, and information theory.
Some concluded projects include
desiging a MANET protocol,
researching validation process guidelines of computer models of how humans think,
low-bandwidth authentication, and
a military logistics siumlator called CoreSim.
For a while I dabbled in computational topology, "forecasting" (uncertainty, statistics, and graph algorithms) over large-scale informatics graphs;
and statistical techniques for finding the root-cause of faults in networked computer systems.
Some information projects included data-streaming algorithms, e.g. approximate counting; and
the geometry of distance functions for comparing probability distributions in information theory.
Recently I've been most active in sample based techniques, including their uses for mesh generation, integration, and uncertainty quantification.
Often I consider uniform-random point samplngs with inter-sample inhibition distances and guaranteed domain coverage, and meshes from these point sets.
These Poisson-disk samplings are popular in computer graphics, for integration-like problems such as texture synthesis, and in simulation for fracture mechanics, where non-randomness would spoil the outcome. We are working on using them, and line-search generalizations, for sampling for uncertainty quantification.
I taught the course
"ALGORITHMIC GEOMETRY AND MESH GENERATION" at UNM in Fall 2010.
I organized a
workshop on combinatorial algebraic topology
in late August 2009; we wrote a
summary report.
Here is a
2002 paper
[bibtex]
by Batagelj and Zaversnik
about core decompositions of networks that lists me as a "liason" author linking two cores of Computational Geometry, which I recognize as Cubit mesh generation and theoretical mesh generation; see pages 7-8.
Contact:
Scott A. Mitchell
Sandia National Laboratories
P.O. Box 5800
MS 1327
Albuquerque, NM 87185-1327
Phone: (505) 845-7594
FAX: (505) 845-7442
E-mail: samitch@sandia.gov
Home Page(here): http://www.cs.sandia.gov/~samitch/
Building CERL
Room 191. Just east of the main entrance, on the south wall.
10700 Research Road SE
Albuquerque, NM 87123
Other Mitchells
Biography:
I received a B.S in
Applied Math, Engineering & Physics
from the University of Wisconsin-Madison in 1988. I received an M.S. (1991)
and Ph.D. (1993) in Applied Math from Cornell University.
I worked the summer of 1991 at
Xerox PARC with Marshall Bern and John Gilbert.
Since Oct 1992 I've been at
Sandia National Laboratories.
I researched triangular and tetrahedral meshing algorithms via a computational geometry approach from 1992-1993.
I was part of the Cubit project, doing mesh generation R&D from 1993-2000, and project leadership from 2000-2002. I did things like researching algorithms and
existence proofs for hexahedral meshes and optimization for assigning the right number of edges locally so the model can be meshed globally.
I managed the Optimization and Uncertainty Estimation department from 2002-2007. I served in various capacities on various programs, including LDRD
(internal research program) and NNSA's ASC program.
I decided I missed building things and figuring things out for myself and moved on to technical work in 2007. Time will tell what I do now.
Partners, visitors, summer students, etc.
Links:
International Meshing Roundtable
