Publications
- Intersections With Validated Error Bounds For Building Interval Solid Models,
by H. Mukundan, K. H. Ko and N. M. Patrikalakis
ASME 25th Computers and Information in Engineering Conference (CIE), Long Beach, California, USA, September 2005.
- Resolution of Multiple Roots of Nonlinear Polynomial Systems,
by K. H. Ko, T. Sakkalis and N. M. Patrikalakis
International Journal of Shape Modeling, Vol. 11, No. 1, pp. 121-147, June 2005.
- A Reliable Algorithm for Computing the Topological Degree of a Mapping in R2,
by K. H. Ko, T. Sakkalis, and N. M. Patrikalakis
Pre-Print Publication.
- Surface
- Surface Intersection with Validated Error Bounds
by H. Mukundan
Joint Master's Thesis thesis with MIT Ocean Engineering and Mechanical
Engineering Departments, November 2004.
- Application of ambient isotopy to surface approximation
and interval solids
T. Sakkalis, T. J. Peters, J. Bisceglio
invited article, Computer Aided Design,
Special issue -- Solid Modeling Theory and Applications,
36 (11), 1089-1100, 2004.
- Ambient isotopic approximation for surface reconstruction
and interval solids
by T. Sakkalis, T. J. Peters
Proceedings of the Eighth ACM Symposium on Solid Modeling and
Applications, Seattle, Washington, June 16 - 20, 2003, 176 - 184.
- Computational Topology for Regular Closed Sets (Within
the I-TANGO Project)
by T. J. Peters, J. Bisceglio, D. R.
Ferguson, C. M. Hoffmann, T. Maekawa, N. M. Patrikalakis, T. Sakkalis,
N. F. Stewart.
On-line Journal
Topology
Atlas Invited Contributions. Vol. 9, No. 1, pp. 12, 2004
Also archived at the Mathematics Archive.
- Ambient Isotopic Approximations for
Surface Reconstruction and Interval Solids
by T. Sakkalis and T. J. Peters.
Prodeedings of the Eighth
ACM Symposium on Solid Modeling and Applications.
G. Elber and
V. Shapiro, editors. pp. 176-184. Seattle, Washington, June 2003. NY:
ACM, 2003.
-
Nonlinear Polynomial Systems: Multiple Roots and their Multiplicities
by K. H. Ko, T. Sakkalis, N. M. Patrikalakis.
Shape Modeling International Conference, SMI 2004. F. Giannini and A. Pasko, editors. pp. 87-98. Genova, Italy, June 2004. Los Alamitos, CA: IEEE Computer Society Press, 2004.
- Surface to
Surface Intersections
by N. M. Patrikalakis, T. Maekawa, K. H. Ko, and H. Mukundan.
Computer-Aided Design and Applications, Vol. 1, No. 1-4, pp. 449-458,
2004.
- Tracing
Surface
Intersections with a Validated ODE System Solver
by H. Mukundan, K. H. Ko, T. Maekawa, T. Sakkalis, and N. M.
Patrikalakis.
Proceedings of the Ninth EG/ACM Symposium on Solid Modeling and
Applications
G. Elber and G. Taubin, editors. Genoa, Italy, June 2004. Eurographics
Press. 2004.
Conferences
- Shape Interrogation I
by N. M. Patrikalakis and T. Sakkalis.
International Summer School on Computational Methods for Shape
Modelling and Analysis, Genova, 14-18 June 2004, Area della Ricerca,
CNR, Genova, May 2004.
- Shape Interrogation II
by T. Sakkalis and N. M. Patrikalakis.
International Summer School on Computational Methods for Shape
Modelling and Analysis, Genova, 14-18 June 2004, Area della Ricerca,
CNR, Genova, May 2004.
- Surface to
Surface Intersections
by N. M. Patrikalakis, T. Maekawa, K.
H. Ko, and H. Mukundan.
International
CAD Conference and Exhibition, CAD'04
L. Piegl, editor. Pattaya Beach, Thailand, May 2004.
- Nonlinear Polynomial Systems:
Multiple Roots and their
Multiplicities
by K. H. Ko, T. Sakkalis, N. M. Patrikalakis.
Shape Modeling International Conference, SMI 2004.
Genova, Italy, June 2004.
- Tracing
Surface
Intersections with a Validated ODE System Solver
by H. Mukundan, K. H. Ko, T. Maekawa, T. Sakkalis, and N. M.
Patrikalakis.
Poster presented at Solid Modeling and Applications, SM04.
Genoa, Italy, June 2004.
- NSF/CARGO Workshop I-TANGO Presentation
(May 2004)
[MS Powerpoint format]
- Accurate Numerical Intersection of Geometric
Objects
by D. Ferguson,C. Hoffmann, T. Maekawa, N. Patrikalakis, T. Peters, T.
Sakkalis and N. F. Stewart.
5th International Congress on Industrial and Applied Mathematics (ICIAM
2003), Sydney, Australia, July 2003.
Last modified on 01-30-2005 by harishm@mit.edu
Copyright © 2003-2005 Massachusetts Institute of
Technology