Edited Monograph


Mathematics in Industy -- Challenges and Frontiers, 20003.
Editors: D. R. Ferguson and T. J. Peters
Chapter in above monograph, SIAM, 2005. ISSBN 0 -89871-598-9



Selected Publications on Computational Topology


Modeling time and topology for animation and visualization,
K. E. Jordan, L. Miller, E. L. F. Moore, T. J. Peters, and A. C. Russell,
preprint, in revision for Theoretical Computer Science.

Topological Neighborhoods for Spline Curves : Practice and Theory,
L. Miller, E. L. F. Moore, T. J. Peters, and A. C. Russell,
in press May 2008, to appear in LNCS.


Preserving computational topology by subdivision of quadratic and cubic Bézier curves,
E. L. F. Moore, T. J. Peters, J. A. Roulier,
Computing, Springer Wien, Special issue on Geometric Modeling (Dagstuhl 2005)
Volume 79, Numbers 2-4 ; April, 2007, 317-323,
Special editors: S. Hahmann, G. Brunnett, G. Farin and R. Goldman, invited article.


Computational topology for reconstruction of surfaces with boundary: integrating experiments and theory,
Abe, K., Bisceglio, J., Peters, T. J., Russell, A. C., Ferguson, D. R., Sakkalis, T.,
IEEE International Conference on Shape Modeling and Applications, June 15 - 17, 2005 at MIT,
IEEE Computer Society, Los Alamitos, CA, 288 -- 297.


Computational topology for geometric design and molecular design,
Mathematics in Industy -- Challenges and Frontiers, 20003.
E. L. F. Moore and T.J. Peters,
Editors: D. R. Ferguson and T. J. Peters
Chapter in above monograph, SIAM, 2005. ISSBN 0 -89871-598-9


Link to
Computational Topology for Regular Closed Sets (within the I-TANGO project)
Topology Atlas Invited Contributions vol. 9, no. 1 (2004) 12 pp.
T.J. Peters, J. Bisceglio, D.R. Ferguson, C.M. Hoffmann, T. Maekawa, N.M. Patrikalakis, T. Sakkalis, and N.F. Stewart, On-line journal, Invited Contribution, Topology Atlas.


Application of ambient isotopy to surface approximation and interval solids,
Sakkalis, T., Peters, T. J. and Bisceglio, J., pre-print, invited submission to CAD


Ambient isotopic approximations for surface reconstruction and interval solids ,
Sakkalis, T. and Peters, T. J., ACM Symposium on Solid Modeling, June, 2003


Specifying useful error bounds for geometry tools: an intersector exemplar ,
Mow, C., Peters, T. J., and Stewart, N. F., CAGD, 20 (2003) pp. 247 - 251.


Computational topology: ambient isotopic approximation of 2-manifolds,
Amenta, N., Peters, T. J., and Russell, A.,
Invited article, Theoretical Computer Science, 305, 3-15, 2003.

Equivalence of topological form for curvilinear geometric objects,
Andersson, L.-E., Peters, T. J. and Stewart, N. F.,
International Journal Computational Geometry and Applications, (10), No. 6, 2000, 609 - 622.

Self-intersection of composite curves and surfaces,
Andersson, L.-E., Peters, T. J. and Stewart, N. F.,
Computer Aided Geometric Design (15), No. 5, 507 - 527, 1998.

Algorithmic tolerances and semantics in data exchange,
Peters, T. J., Stewart, N. S., Ferguson, D. R., and Fussell, P. S.,
Proceedings of the 1997 ACM Symposium on Computational Geometry,
Nice, France, June 4 - 6, 1997.

Propagating Topological Tolerances for Rapid Prototyping,
T. J. Peters, S. A. Demurjian, D. M. Needham, R. J. Peters, S. M. Dorney,
ASME IMECE, Atlanta, Nov., 1996.

Polyhedral Perturbations that Preserve Topological Form,
L-E. Andersson, S. M. Dorney, T. J. Peters, N. F. Stewart,
Computer Aided Geometric Design, 12 (1995) 785 - 799.

The Role of Topology in Engineering Design Research,
D. W. Rosen and T. J. Peters, Research in Engineering Design,
1996, Vol 8, No. 2. pp. 81-98.

The Diversity of Topological Applications within Computer Aided Geometric Design,
Peters, T. J., Rosen, D. W., and Dorney, S. M.,
Annals of the New York Academy of Sciences, 728 (1994) 198 - 209.

Selected Pre-prints on Computational Topology

Computational Topology for Reconstruction of Surfaces with Boundary, Part-I: Applications (.pdf, 14 megs)

Computational Topology for Reconstruction of Surfaces with Boundary, Part-II: Mathematical Foundations (theory, .pdf)



Other Miscellaneous References

Economic Report on Interoperability for CAD ,
Research Triangle Park and NIST,
Technical Report, citing billion dollar loss annually.