1,382
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Generalized offsetting of planar structures using skeletons

, &

References

  • CGAL; Computational Geometry Algorithms Library. http://www.cgal.org/
  • Aurenhammer, O.; Aichholzer, F.: Straight Skeletons for General Polygonal Figures in the Plane. A. Samoilenko (Editor), Voronoi's Impact on Modern Sciences II, volume 21. Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev, Ukraine, 1998, 7–21. doi: 10.1007/3-540-61332-3_144
  • Aichholzer, O.; Aurenhammer, F.; Alberts, D.; Gärtner, B.: A Novel Type of Skeleton for Polygons, J. Univ. Comp. Sci19951(12752–761. doi: 10.1007/978-3-642-80350-565.
  • Alt, H.; Cheong, O.; Vigneron, A.: The Voronoi Diagram of Curved Objects, Discrete Comput. Geom., 34(3), 2005, 439–453. doi: 10.1007/s00454-005-1192-0.
  • Alt, H.; Schwarzkopf, O.: The Voronoi Diagram of Curved Objects. Proc. 11th Annu. ACM Sympos. Comput. Geom. 1995, 89–97. doi: 10.1145/220279.220289>
  • Aurenhammer, F.; Edelsbrunner, H.: An Optimal Algorithm for Constructing the Weighted Voronoi Diagram in the Plane, Pattern Recognition, 17(2), 1984, 251–257. doi: 10.1016/0031-3203(84)90064-5
  • Biedl, T.; Held, M.; Huber, S.; Kaaser, D.; Palfrader, P.: Weighted Straight Skeletons in the Plane, Comp. Geom.: Theory and Appl., 48(2), February 2015, 120–133. doi: 10.1016/j.comgeo.2014.08.006
  • Biedl, T.; Huber, S.; Palfrader, P.: Planar Matchings for Weighted Straight Skeletons. H.-K. Ahn; C.-S. Shin (Editors), Proc. 25th Int. Sympos. Alg. & Comp. (ISAAC 2014), LNCS, volume 8889. Springer, Jeonju, Korea, December 2014, 117–127. doi:10.1007/978-3-319-13075-0_10
  • Edelsbrunner, H.; Seidel, R.: Voronoi Diagrams and Arrangements, Discrete Comput. Geom., 1(1), December 1986, 25–44. doi: 10.1007/BF02187681
  • Eppstein, D.; Erickson, J.: Raising Roofs, Crashing Cycles, and Playing Pool: Applications of a Data Structure for Finding Pairwise Interactions, Discrete Comput. Geom., 22(4), 1999, 569–592. doi: 10.1145/276884.276891
  • Held, M.: On the Computational Geometry of Pocket Machining, LNCS, volume 500. Springer, 1991. doi:10.1007/3-540-54103-9. ISBN 978-3-540-54103-5
  • Held, M.: VRONI and ArcVRONI: Software for and Applications of Voronoi Diagrams in Science and Engineering. Proc. 8th Int. Sympos. Voronoi Diagrams in Sci. & Eng. (ISVD 2011). Qingdao, China, June 2011, 3–12. doi: 10.1109/ISVD.2011.9>
  • Huber, S.: Computing Straight Skeletons and Motorcycle Graphs: Theory and Practice. Shaker Verlag, 2012. ISBN 978-3-8440-0938-5
  • Huber, S.; Held, M.: A Fast Straight-Skeleton Algorithm Based On Generalized Motorcycle Graphs, Int. J. Comp. Geom. Appl., 22(5), October 2012, 471–498. doi: 10.1142/S0218195912500124
  • Li, C.; Zhou, G.; Chan, C.: A Graphical Approach to Approximate Offset Computation. Proc. Sixth Conf. Comput. Graph., Imag. Visualization. August 2009, 217–221. doi: 10.1109/CGIV.2009.46>
  • Palfrader, P.; Held, M.: Computing Mitered Offset Curves Based on Straight Skeletons. Comp.-Aided Design & Appl., 2015. doi: 10.1080/16864360.2014.997637>. In print
  • Palfrader, P.; Held, M.; Huber, S.: On Computing Straight Skeletons by Means of Kinetic Triangulations. L. Epstein; P. Ferragina (Editors), Proc. 20th Annu. Europ. Symp. Alg. (ESA 2012), LNCS, volume 7501. Springer, Ljubljana, Slovenia, September 2012, 766–777. doi: 10.1007/978-3-642-33090-2_66>
  • Qun, L.; Rokne, J. G.: Variable-Radius Offset Curves and Surfaces, Mathl. Comput. Modelling, 26(7), October 1997, 97–108. doi: 10.1016/S0895-7177(97)00188-X
  • Rossignac, J.: Ball-Based Shape Processing. I. Debled-Rennesson; E. Domenjoud; B. Kerautret; P. Even (Editors), Proc. 16th Int. Conf. Discrete Geom. Comp. Imagery (DCGI 2011), LNCS, volume 6607. Springer, Nancy, France, April 2011, 13–34. doi:10.1007/978-3-642-19867-0_2
  • Setter, O.; Sharir, M.; Halperin, D.: Constructing Two-Dimensional Voronoi Diagrams via Divide-and-Conquer of Envelopes in Space. M. L. Gavrilova; C. J. K. Tan; F. Anton (Editors), Transactions on Computational Science IX, LNCS, volume 6290. Springer, 2010, 1–27. doi: 10.1007/978-3-642-16007-3_1>
  • Zhuo, W.; Rossignac, J.: Curvature-based Offset Distance: Implementation and Applications, Computers & Graphics, 36(5), August 2012, 445–454. doi: 10.1016/j.cag.2012.03.013