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I. Z. Emiris, E. P. Tsigaridas, and G. M. Tzoumas, “Exact Voronoi diagram of
smooth convex pseudo-circles: General predicates, and implementation for
ellipses,” Comp.-Aid. Geom. Des., vol. 30, pp. 760-777, Nov. 2013.
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DOI ]
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G. M. Tzoumas, J.-M. Cane, A. Kubicki, D. Michelucci, and S. Foufou, “Une
nouvélle représentation pour les ensembles géométriques,” in
Groupe de Travail en Modélisation Géométrique, (Marseille, France),
pp. 75-84, Mar. 2013.
(see pdf in French or manuscript in english).
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manuscript |
.pdf ]
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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 ]
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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 ]
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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.
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webpage |
.pdf ]
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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.
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DOI |
webpage ]
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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.
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webpage ]
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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 ]
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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.
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DOI |
manuscript |
webpage ]
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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.
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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.
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webpage |
.pdf ]
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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.
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DOI |
manuscript |
webpage ]
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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.
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webpage |
.pdf ]
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G. Tzoumas, “Predicates for computing the Apollonius diagram of ellipses,”
Master's thesis, National & Kapodistrian Univ. Athens, May 2005.
[ bib |
.pdf ]
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G. Tzoumas and I. Emiris, “Apollonius circle conflict,” SIGSAM Bull.,
vol. 39, no. 4, pp. 143-146, 2005.
[ bib |
DOI |
manuscript ]
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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.
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webpage |
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