George Tzoumas' publications

last update: August 4, 2011

2011

	I. Z. Emiris, E. P. Tsigaridas, and G. M. Tzoumas, “Exact Voronoi diagram of smooth convex pseudocircles: General predicates, and implementation for ellipses,” 2011. Submitted. [ bib ]
	G. Tzoumas, “Algebraic number comparison through arrangements of hypersurfaces,” 2011. [ bib ]
	G. Tzoumas, “Exact medial axis of quadratic NURBS and efficient bisector pruning,” 2011. [ bib ]
	G. Tzoumas, “Exact medial axis of quadratic NURBS curves,” in 27th Europ. Workshop Comp. Geom., (Morschach, Switzerland), pp. 91-94, 2011. [ bib \| HAL \| webpage \| .pdf ]

2010

G. Tzoumas, “Geometric predicates as arrangements of hypersurfaces: Application to comparison of algebraic numbers,” 2010. Poster session, Fall School Shapes, Geometry, and Algebra, Kolympari, Greece. [ bib | HAL | .pdf ]

2009

	I. Emiris, E. Tsigaridas, and G. Tzoumas, “Exact Delaunay graph of smooth convex pseudo-circles: general predicates, and implementation for ellipses,” in SPM '09: 2009 SIAM/ACM Joint Conf. on Geom. & Phys. Model., (San Francisco, CA, USA), pp. 211-222, 2009. [ bib \| DOI \| manuscript \| webpage ]
	G. Tzoumas, Computational geometry for curved objects. Voronoi diagrams in the plane. PhD thesis, National & Kapodistrian Univ. Athens, 2009. In Greek. [ bib \| english abstract \| .pdf ]
	I. Emiris, E. Tsigaridas, and G. Tzoumas, “Exact Delaunay graph of smooth convex pseudo-circles,” in 25th Europ. Workshop Comp. Geom., (Brussels, Belgium), pp. 325-328, 2009. [ bib \| webpage \| .pdf ]

2008

	I. Emiris and G. Tzoumas, “Exact and efficient evaluation of the InCircle predicate for parametric ellipses and smooth convex objects,” Comp.-Aid. Des., vol. 40, no. 6, pp. 691-700, 2008. [ bib \| DOI \| webpage ]
	I. Z. Emiris, E. P. Tsigaridas, and G. M. Tzoumas, “Predicates for the exact Voronoi diagram of ellipses under the euclidean metric,” Intern. J. Comp. Geom. & Appl., vol. 18, no. 6, pp. 567-597, 2008. [ bib \| webpage ]
	I. Emiris, M. Hemmer, E. Tsigaridas, and G. Tzoumas, “Voronoi diagram of ellipses: CGAL-based implementation,” Tech. Rep. ACS-TR-363603-01, National & Kapodistrian Univ. Athens, 2008. [ bib \| .pdf ]
	I. Emiris, E. Tsigaridas, and G. Tzoumas, “Voronoi diagram of ellipses in CGAL,” in 24th Europ. Workshop Comp. Geom., (Nancy, France), pp. 87-90, 2008. [ bib \| project page \| webpage \| .pdf ]

2007

	I. Emiris and G. Tzoumas, “A real-time and exact implementation of the predicates for the Voronoi diagram of parametric ellipses,” in Proc. ACM Symp. Solid & Phys. Model., (Beijing, China), pp. 133-142, ACM Press, June 2007. [ bib \| DOI \| manuscript \| webpage ]
	I. Emiris and G. Tzoumas, “The Voronoi circle of smooth closed curves,” May 29 - June 2 2007. Poster session, IMA Workshop in Non-linear Computational Geometry (Special Thematic Year on Applications of Algebraic Geometry). Inst. Math. Appl., Univ. Minnesota, Minneapolis, MN. Nugget URL: http://www.ima.umn.edu/nuggets/voronoi.html. [ bib ]
	I. Emiris, E. Tsigaridas, and G. Tzoumas, “Algebraic tools for the Voronoi diagram of ellipses, leading to an experimental implementation,” Tech. Rep. ACS-TR-241403-02, National & Kapodistrian Univ. Athens, 2007. [ bib \| .pdf ]
	I. Emiris and G. Tzoumas, “An efficient algorithm for the InCircle predicate among smooth closed curves,” in 23rd Europ. Workshop Comp. Geom., (Graz, Austria), pp. 239-242, 2007. [ bib \| webpage \| .pdf ]

2006

	I. Z. Emiris, E. P. Tsigaridas, and G. M. Tzoumas, “The predicates for the Voronoi diagram of ellipses,” in Proc. 22nd Annual ACM Symp. Comp. Geom., (Sedona, Arizona, USA), pp. 227-236, ACM Press, June 2006. [ bib \| DOI \| manuscript \| webpage ]
	I. Emiris and G. Tzoumas, “Voronoi circle of three ellipses,” 2006. Poster session, Work. Geom. Topol. Combin. '06, Alcalá de Henares, Spain. [ bib ]
	I. Emiris, E. Tsigaridas, and G. Tzoumas, “A certified algorithm for the InCircle predicate among ellipses,” in 22nd Europ. Workshop Comp. Geom., (Delphi, Greece), pp. 225-228, 2006. [ bib \| webpage \| .pdf ]
	I. Emiris, E. Tsigaridas, and G. Tzoumas, “Algebraic tools for the Voronoi diagram of ellipses,” Tech. Rep. ACS-TR-241403-01, National & Kapodistrian Univ. Athens, 2006. [ bib \| .pdf ]

2005

	G. Tzoumas, “Predicates for computing the Apollonius diagram of ellipses,” Master's thesis, National & Kapodistrian Univ. Athens, May 2005. [ bib \| .pdf ]
	G. Tzoumas and I. Emiris, “Apollonius circle conflict,” SIGSAM Bull., vol. 39, no. 4, pp. 143-146, 2005. [ bib \| DOI \| manuscript ]
	I. Emiris and G. Tzoumas, “Apollonius circle conflict,” 2005. Poster session, 8th Inter. Work. Comp. Algeb. Sci. Comp., Greece. [ bib \| screenshot \| webpage \| .pdf ]
	I. Emiris and G. Tzoumas, “Algebraic study of the Apollonius circle of three ellipses,” in 21st Europ. Workshop Comp. Geom., (Holland), pp. 147-150, 2005. [ bib \| webpage \| .pdf ]

2003

V. Dimakopoulos, E. Leontiadis, and G. Tzoumas, “OMPi: A portable C compiler for OpenMP v2.0,” in Proc. 5th Europ. Work. OpenMP, (Aachen, Germany), Sept. 22-26 2003. [OMPi project page] [OpenMP website]. [ bib | webpage | .pdf ]

2002

E. Leontiadis and G. Tzoumas, “Implementation of a C compiler with OpenMP extensions,” BSc. Thesis `Ptychion', Univ. Ioannina, 2002. In Greek. [ bib | .pdf ]

This file was generated by bibtex2html 1.95 and additional scripting...

	I. Emiris and G. Tzoumas, “Exact and efficient evaluation of the InCircle predicate for parametric ellipses and smooth convex objects,” Comp.-Aid. Des., vol. 40, no. 6, pp. 691-700, 2008. [ bib \| DOI \| webpage ]
	I. Z. Emiris, E. P. Tsigaridas, and G. M. Tzoumas, “Predicates for the exact Voronoi diagram of ellipses under the euclidean metric,” Intern. J. Comp. Geom. & Appl., vol. 18, no. 6, pp. 567-597, 2008. [ bib \| webpage ]
	I. Emiris, M. Hemmer, E. Tsigaridas, and G. Tzoumas, “Voronoi diagram of ellipses: CGAL-based implementation,” Tech. Rep. ACS-TR-363603-01, National & Kapodistrian Univ. Athens, 2008. [ bib \| .pdf ]
	I. Emiris, E. Tsigaridas, and G. Tzoumas, “Voronoi diagram of ellipses in CGAL,” in 24th Europ. Workshop Comp. Geom., (Nancy, France), pp. 87-90, 2008. [ bib \| project page \| webpage \| .pdf ]

	I. Emiris and G. Tzoumas, “A real-time and exact implementation of the predicates for the Voronoi diagram of parametric ellipses,” in Proc. ACM Symp. Solid & Phys. Model., (Beijing, China), pp. 133-142, ACM Press, June 2007. [ bib \| DOI \| manuscript \| webpage ]
	I. Emiris and G. Tzoumas, “The Voronoi circle of smooth closed curves,” May 29 - June 2 2007. Poster session, IMA Workshop in Non-linear Computational Geometry (Special Thematic Year on Applications of Algebraic Geometry). Inst. Math. Appl., Univ. Minnesota, Minneapolis, MN. Nugget URL: http://www.ima.umn.edu/nuggets/voronoi.html. [ bib ]
	I. Emiris, E. Tsigaridas, and G. Tzoumas, “Algebraic tools for the Voronoi diagram of ellipses, leading to an experimental implementation,” Tech. Rep. ACS-TR-241403-02, National & Kapodistrian Univ. Athens, 2007. [ bib \| .pdf ]
	I. Emiris and G. Tzoumas, “An efficient algorithm for the InCircle predicate among smooth closed curves,” in 23rd Europ. Workshop Comp. Geom., (Graz, Austria), pp. 239-242, 2007. [ bib \| webpage \| .pdf ]

	I. Z. Emiris, E. P. Tsigaridas, and G. M. Tzoumas, “The predicates for the Voronoi diagram of ellipses,” in Proc. 22nd Annual ACM Symp. Comp. Geom., (Sedona, Arizona, USA), pp. 227-236, ACM Press, June 2006. [ bib \| DOI \| manuscript \| webpage ]
	I. Emiris and G. Tzoumas, “Voronoi circle of three ellipses,” 2006. Poster session, Work. Geom. Topol. Combin. '06, Alcalá de Henares, Spain. [ bib ]
	I. Emiris, E. Tsigaridas, and G. Tzoumas, “A certified algorithm for the InCircle predicate among ellipses,” in 22nd Europ. Workshop Comp. Geom., (Delphi, Greece), pp. 225-228, 2006. [ bib \| webpage \| .pdf ]
	I. Emiris, E. Tsigaridas, and G. Tzoumas, “Algebraic tools for the Voronoi diagram of ellipses,” Tech. Rep. ACS-TR-241403-01, National & Kapodistrian Univ. Athens, 2006. [ bib \| .pdf ]

	G. Tzoumas, “Predicates for computing the Apollonius diagram of ellipses,” Master's thesis, National & Kapodistrian Univ. Athens, May 2005. [ bib \| .pdf ]
	G. Tzoumas and I. Emiris, “Apollonius circle conflict,” SIGSAM Bull., vol. 39, no. 4, pp. 143-146, 2005. [ bib \| DOI \| manuscript ]
	I. Emiris and G. Tzoumas, “Apollonius circle conflict,” 2005. Poster session, 8th Inter. Work. Comp. Algeb. Sci. Comp., Greece. [ bib \| screenshot \| webpage \| .pdf ]
	I. Emiris and G. Tzoumas, “Algebraic study of the Apollonius circle of three ellipses,” in 21st Europ. Workshop Comp. Geom., (Holland), pp. 147-150, 2005. [ bib \| webpage \| .pdf ]

Publications of George M. Tzoumas