Daria Schymura

Discrete Geometry

• Domino-Pflasterungen und Aztekensterne
  Mathematische Semesterberichte, Band 53 (1), Seiten 81–99, 2006.
  Felix Breuer, Daria Schymura
  http://dx.doi.org/10.1007/s00591-005-0102-0
  [bibtex]

Geometrische Optimierungsprobleme

• Integer Point Sets Minimizing Average Pairwise L1 Distance: What is the Optimal Shape of a Town?
  Computational Geometry, Theory and Applications, Band 44 (2), Seiten 82-94, 2011.
  Erik D. Demaine, Sándor P. Fekete, Günter Rote, Nils Schweer, Daria Schymura, Mariano Zelke
  [bibtex]

• Integer Point Sets Minimizing Average Pairwise L1-Distance: What is the Optimal Shape of a Town?
  CoRR, Band abs/1009.5628, 2010.
  Erik D. Demaine, Sándor P.Fekete, Günter Rote, Nils Schweer, Daria Schymura, Mariano Zelke
  [Eprint:arXiv:1009.5628]
  [bibtex]

• Integer Point Sets Minimizing Average Pairwise L1 Distance: What is the Optimal Shape of a Town?
  In Proc. of the 21st Canadian Conference on Computational Geometry (CCCG), Seiten 145-148, Vancouver, Canada, August 2009.
  Erik D. Demaine, Sándor P. Fekete, Günter Rote, Nils Schweer, Daria Schymura, Mariano Zelke
  [bibtex]

Geometrische Muster- und Formenerkennung

• Matching solid shapes in arbitrary dimension via random sampling
  2012.
  Daria Schymura
  extended abstract (submitted)
  [bibtex] [pdf]

• Probabilistic matching of solids in arbitrary dimension
  In Proceedings of the 27th European Workshop on Computational Geometry (EuroCG), Morschach, Switzerland, March 2011.
  Daria Schymura
  [bibtex] [pdf]

• Probabilistic Matching of Planar Regions
  Computational Geometry, Theory and Applications (CGTA), Band 43 (2), Seiten 99–114, 2010.
  Helmut Alt, Ludmila Scharf, Daria Schymura
  Special Issue on the 24th European Workshop on Computational Geometry (EuroCG'08)
  view at ScienceDirect
  [bibtex]

• An upper bound on the volume of the symmetric difference of a body and a congruent copy
  CoRR, Band abs/1010.2446, 2010.
  Daria Schymura
  [Eprint:arXiv:1010.2446]
  [bibtex]

• Measuring the Similarity of Geometric Graphs
  In Proceedings of the 25th European Workshop on Computational Geometry (EuroCG), Brussels, Belgium, March 2009.
  Otfried Cheong, Joachim Gudmundsson, Hyo-Sil Kim, Daria Schymura, Fabian Stehn
  [bibtex] [pdf]

• Measuring the Similarity of Geometric Graphs
  In Proc. 8th International Symposium on Experimental Algorithms, Lecture Notes in Computer Science, Band 5526, Seiten 101–112, Springer, Dortmund, Germany, 2009.
  Otfried Cheong, Joachim Gudmundsson, Hyo-Sil Kim, Daria Schymura, Fabian Stehn
  [bibtex] [pdf]

• Probabilistic Matching of Planar Regions
  CoRR, Band abs/0902.4337, 2009.
  Helmut Alt, Ludmila Scharf, Daria Schymura
  [Eprint:arXiv:0902.4337]
  [bibtex]

• Probabilistic Matching of Polygons
  In Proceedings of the 24th European Workshop on Computational Geometry (EuroCG), Seiten 255–258, Nancy, France, March 2008.
  Helmut Alt, Ludmila Scharf, Daria Schymura
  [bibtex] [pdf]