Publications

International Journal articles

  1. Hee-Kap Ahn, Sang-Sub Kim, Christian Knauer, Lena Schlipf, Chan-Su Shin, Antoine Vigneron.
    Covering and Piercing Disks with Two Centers.
    Submitted
    arXiv:1201.1198
  2. Hee-Kap Ahn, Christian Knauer, Marc Scherfenberg, Lena Schlipf, Antoine Vigneron.
    Computing the Discrete Fréchet Distance with Imprecise Input.
    To appear in International Journal of Computational Geometry and Applications (on invitation, ISAAC 2010)
  3. Hee-Kap Ahn, Siu-Wing Cheng, Iris Reinbacher.
    Maximum Overlap of Convex Polytopes under Translation.
    To appear in the special issue on "Geometric Optimization" of Computational Geometry: Theory and Applications
  4. Hee-Kap Ahn, Otfried Cheong.
    Aligning two convex figures to minimize area or perimeter.
    Algorithmica, 62(1-2), pages 464-479, 2012.
  5. Hee-Kap Ahn, Otfried Cheong, Jiri Matousek, Antoine Vigneron.
    Reachability by paths of bounded curvature in a convex polygon.
    Computational Geometry: Theory and Applications, 45(1-2), pages 21-32, 2012.
    arXiv:1008.4244
  6. Hee-Kap Ahn, Sang Won Bae, Marc van Kreveld, Iris Reinbacher, Bettina Speckmann.
    Empty Pseudo-Triangles in Point Sets.
    Discrete Applied Mathematics, 159(18), pages 2205-2213, 2011.
  7. Mu-Woong Lee, Wanbin Son, Hee-Kap Ahn, Seung-won Hwang.
    Spatial Skyline Queries: An Efficient Geometric Algorithm.
    GeoInformatica, 15(4), pages 665-697, 2011. (on invitation, SSTD 2009 Best Paper)
    arXiv:0903.3072
  8. Sang-Sub Kim, Sang Won Bae, Hee-Kap Ahn.
    Covering a Point Set by Two Disjoint Rectangles.
    International Journal of Computational Geometry and Applications, 21(3), pages 313-330, 2011. (on invitation, ISAAC 2008)
  9. Hee-Kap Ahn, Sang Won Bae, Erik D. Demaine, Martin L. Demaine, Sang-Sub Kim, Mathias Korman, Iris Reinbacher, Wanbin Son.
    Covering Points by Disjoint Boxes with Outliers.
    Computational Geometry: Theory and Applications, 44(3), pages 178-190, 2011.
    arXiv:0910.1643
  10. Hee-Kap Ahn, Yoshio Okamoto.
    Adaptive Algorithms for Planar Convex Hull Problems.
    IEICE Transactions on Information and Systems E94-D(2), pages 182-189, 2011.
  11. Hee-Kap Ahn, Peter Brass, Christian Knauer, Hyeon-Suk Na, Chan-Su Shin.
    Covering a Simple Polygon by Monotone Directions.
    Computational Geometry: Theory and Applications 43(5), pages 514-523, 2010.
  12. Hee-Kap Ahn, Mohammad Farshi, Christian Knauer, Michiel Smid, Yajun Wang.
    Dilation-Optimal Edge Deletion in Polygonal Cycles.
    International Journal of Computational Geometry and Applications, 20(1), pages 69-87, 2010. (on invitation, ISAAC 2007)
  13. Sang Won Bae, Chunseok Lee, Hee-Kap Ahn, Sunghee Choi, Kyung-Yong Chwa.
    Computing Minimum-Area Rectilinear Convex Hull and L-Shape.
    Computational Geometry: Theory and Applications, 42(9), pages 903-912, 2009.
  14. Hee-Kap Ahn, Sang Won Bae, Siu-Wing Cheng, Kyung-Yong Chwa.
    Casting an Object with a Core.
    Algorithmica 54(1), pages 72-88, 2009
  15. Hee-Kap Ahn, Helmut Alt, Tetsuo Asano, Sang Won Bae, Peter Brass, Otfried Cheong, Christian Knauer, Hyeon-Suk Na, Chan-Su Shin, Alexander Wolff.
    Constructing Optimal Highways.
    International Journal of Foundations of Computer Science 20(1), pages 3-23, 2009 (on invitation, CATS 2007)
    arxiv:cs.CG/0703037
  16. Hee-Kap Ahn, Peter Brass, Hyeon-Suk Na, Chan-Su Shin.
    On the Minimum Size of Systems of Building Blocks Expressing all Intervals, and Range-Restricted Queries.
    Computational Geometry: Theory and Applications 42(3), pages 207-213, 2009
  17. Hee-Kap Ahn, Sang Won Bae, Otfried Cheong, Joachim Gudmundsson.
    Aperture-Angle and Hausdorff-Approximation of Convex Figures.
    Discrete & Computational Geometry 40(3), pages 414-429, 2008
    arxiv:cs.CG/0702090
  18. Hee-Kap Ahn, Peter Brass, Chan-Su Shin.
    Maximum Overlap and Minimum Convex Hull of Two Convex Polyhedra under Translations.
    Computational Geometry: Theory and Applications 40, pages 171-177, 2008
  19. Hee-Kap Ahn, Otfried Cheong, Chong-Dae Park, Chan-Su Shin, Antoine Vigneron.
    Maximizing the Overlap of Two Planar Convex Sets under Rigid Motions.
    Computational Geometry: Theory and Applications 37, pages 3-15, 2007 (on invitation, ACM SoCG 2005)
  20. Hee-Kap Ahn, Siu-Wing Cheng, Otfried Cheong.
    Casting with Skewed Ejection Direction.
    Algorithmica 44(4), pages 325-342, 2006
  21. Hee-Kap Ahn, Peter Brass, Otfried Cheong, Hyeon-Suk Na, Chan-Su Shin, Antoine Vigneron.
    Inscribing an Axially Symmetric Polygon and other Approximation Algorithms for Planar Convex Sets.
    Computational Geometry: Theory and Applications 33(3), pages 152-164, 2006
  22. Hee-Kap Ahn, Siu-Wing Cheng, Otfried Cheong, Jack Snoeyink.
    The Reflex-Free Hull.
    International Journal of Computational Geometry and Applications 14(6), pages 453-474, 2004
  23. Hee-Kap Ahn, Siu-Wing Cheng, Otfried Cheong, Mordecai Golin, René van Oostrum.
    Competitive Facility Location: The Voronoi Game.
    Theoretical Computer Science 310(1-3), pages 457-467, 2004
  24. Hee-Kap Ahn, Otfried Cheong, René van Oostrum.
    Casting a Polyhedron with Directional Uncertainty.
    Computational Geometry: Theory and Applications 26(2), pages 129-141, 2003
  25. Hee-Kap Ahn, Otfried Cheong, Chan-Su Shin.
    Building Bridges between Convex Regions.
    Computational Geometry: Theory and Applications 25(1/2), pages 161-170, 2003
  26. Hee-Kap Ahn, Mark de Berg, Prosenjit Bose, Siu-Wing Cheng, Dan Halperin, Jiri Matousek, Otfried Schwarzkopf.
    Separating an Object from its Cast.
    Computer-Aided Design (CAD) 34(8), pages 547-559, 2002
  27. Hee-Kap Ahn, P. Bose, J. Czyzowicz, N. Hanusse, E. Kranakis, P. Morin.
    Flipping your Lid.
    Geombinatorics X(2), pages 57-63, 2000

Refereed International Conference Proceedings

  1. Hee-Kap Ahn, Sang Won Bae, Otfried Cheong, Joachim Gudmundsson, Takeshi Tokuyama.
    A Generalization of the Convex Kakeya Problem.
    Accepted for presentation at 10th Latin American Theoretical Information Symposium (LATIN 2012)
  2. Yoonho Hwang, Hee-Kap Ahn.
    Convergent Bounds on the Euclidean Distance.
    In Proc. 25th Annual Conference on Neural Information Processing Systems (NIPS 2011)
  3. Hee-Kap Ahn, Sang-Sub Kim, Christian Knauer, Lena Schlipf, Chan-Su Shin, Antoine Vigneron.
    Covering and Piercing Disks with Two Centers.
    In Proc. 22nd International Symposium on Algorithms and Computation (ISAAC 2011), pages 50-59, 2011.
  4. Hee-Kap Ahn, Sang Won Bae, Christian Knauer, Mira Lee, Chan-Su Shin, Antoine Vigneron.
    Generating Realistic Roofs over a Rectilinear Polygon.
    In Proc. 22nd International Symposium on Algorithms and Computation (ISAAC 2011), pages 60-69, 2011.
  5. Wanbin Son, Seung-won Hwang, Hee-Kap Ahn.
    MSSQ: Manhattan Spatial Skyline Queries., pages 313-329, 2011.
    In Proc. 12th Symposium on Spatial and Temporal Databases (SSTD 2011)
  6. Hee-Kap Ahn, Christian Knauer, Marc Scherfenberg, Lena Schlipf, Antoine Vigneron.
    Computing the Discrete Fréchet Distance with Imprecise Input.
    In Proc. 21st International Symposium on Algorithms and Computation (ISAAC 2010), LNCS 6507, pages 422-433, 2010.
  7. Hee-Kap Ahn, Siu-Wing Cheng, Iris Reinbacher.
    Maximum Overlap of Convex Polytopes under Translation.
    In Proc. 21st International Symposium on Algorithms and Computation (ISAAC 2010), LNCS 6507, pages 97-108, 2010.
  8. Hee-Kap Ahn, Yoshio Okamoto.
    Adaptive Algorithms for Planar Convex Hull Problems.
    In Proc. 4th International Frontiers of Algorithms Workshop (FAW 2010), LNCS 6213, pages 316-326, 2010.
  9. Wanbin Son, Mu-Woong Lee, Hee-Kap Ahn, Seung-won Hwang.
    Spatial Skyline Queries: An Efficient Geometric Algorithm. (Best Paper Award)
    In Proc. 11th International Symposium on Spatial and Temporal Databases (SSTD 2009), LNCS 5644, pages 247-264, 2009.
  10. Hee-Kap Ahn, Sang Won Bae, Sang-Sub Kim, Matias Korman, Iris Reinbacher, Wanbin Son.
    Square and Rectangle Covering with Outliers.
    In Proc. 3rd International Frontiers of Algorithms Workshop (FAW 2009)., LNCS 5598, pages 132-140, 2009.
    A shorter version has been presented at 25th European Workshop on Computational Geometry 2009.
  11. Hee-Kap Ahn, Sang Won Bae, Iris Reinbacher.
    Optimal Empty Pseudo-Triangles in a Point Set.
    In Proc. 21st Canadian Conference on Computational Geometry (CCCG 2009), 2009.
  12. Hee-Kap Ahn, Sang Won Bae.
    Covering a Point Set by Two Disjoint Rectangles.
    In Proc. 19th Annual International Symposium on Algorithms and Computation (ISAAC 2008), LNCS 5369, pages 728-739, 2008
  13. Hee-Kap Ahn, Peter Brass, Christian Knauer, Hyeon-Suk Na, Chan-Su Shin.
    Covering a Simple Polygon by Monotone Directions.
    In Proc. 19th Annual International Symposium on Algorithms and Computation (ISAAC 2008), LNCS 5369, pages 668-679, 2008
  14. Hee-Kap Ahn, Mohammad Farshi, Christian Knauer, Michiel Smid, Yajun Wang.
    Dilation-optimal edge deletion in polygonal cycles.
    In Proc. 18th Annual International Symposium on Algorithms and Computation (ISAAC 2007), LNCS 4835, pages 88-99, 2007
  15. Sang Won Bae, Chunseok Lee, Hee-Kap Ahn, Sunghee Choi, Kyung-Yong Chwa.
    Maintaining Extremal Points and Its Applications to Deciding Optimal Orientations.
    In Proc. 18th Annual International Symposium on Algorithms and Computation (ISAAC 2007), LNCS 4835, pages 788-799, 2007
  16. Hee-Kap Ahn, Sang Won Bae, Otfried Cheong, Joachim Gudmundsson.
    Aperture-Angle and Hausdorff-Approximation of Convex Figures.
    In Proc. 23rd Annual ACM Symposium on Computational Geometry (SoCG 2007), pages 37-45, 2007
  17. Hee-Kap Ahn, Helmut Alt, Tetsuo Asano, Sang Won Bae, Peter Brass, Otfried Cheong, Christian Knauer, Hyeon-Suk Na, Chan-Su Shin, Alexander Wolff.
    Constructing Optimal Highways.
    In Proc. Computing: The Australasian Theory Symposium (CATS 2007), CRPIT Vol.65, pages 7-14, 2007
  18. Hee-Kap Ahn, Sang Won Bae, Siu-Wing Cheng, Kyung-Yong Chwa.
    Casting an Object with a Core.
    In Proc. 16th Annual International Symposium on Algorithms and Computation (ISAAC 2005), LNCS 3827, pages 882-891, 2005
  19. Hee-Kap Ahn, Otfried Cheong.
    Stacking and Bundling two Convex Polygons.
    In Proc. 16th Annual International Symposium on Algorithms and Computation (ISAAC 2005), LNCS 3827, pages 40-49, 2005
  20. Hee-Kap Ahn, Otfried Cheong, Chong-Dae Park, Chan-Su Shin, Antoine Vigneron.
    Maximizing the Overlap of Two Planar Convex Sets under Rigid Motions.
    In Proc. 21st Annu. ACM Symposium on Computational Geometry (SoCG 2005), pages 356-363, 2005
  21. Hee-Kap Ahn, Peter Brass, Otfried Cheong, Hyeon-Suk Na, Chan-Su Shin, Antoine Vigneron.
    Approximation algorithms for Inscribing or Circumscribing an Axially Symmetric Polygon to a Convex Polygon.
    In Proc. 10th Annual International Computing and Combinatorics Conference (COCOON 2004) LNCS 3106, pages 259-267, 2004
  22. Hyun-Jhin Lee, Jinwook Kim, Hee-Kap Ahn, Sang Chul Ahn, Ik Jae Kim, Hyoung-Gon Kim, Heedong Ko.
    VR Experience Design in Tangible Space : Heritage Alive!
    In Proc. 15th Triennial Congress of International Ergonomics Association (IEA 2003) and 7th Joint Conference of the Ergonomics Society of Korea and the Japan Ergonomics Society, 2003
  23. Jinwook Kim, Hee-Kap Ahn, Heedong Ko.
    Description and Response Generation of Cyberspace.
    In Proc. Proc. 15th Triennial Congress of International Ergonomics Association (IEA 2003) and 7th Joint Conference of the Ergonomics Society of Korea and the Japan Ergonomics Society, 2003
  24. ChangHoon Park, HeeDong Ko, Changseok Cho, Hee-Kap Ahn, Yo-Sub Han, TaiYun Kim.
    NAVER: Design and Implementation of Networked Virtual Environments Based on PC Cluster.
    In Proc. 6th Joint Conference of the Ergonomics Society of Korea and the Japan Ergonomics Society, pages 221-228, 2002
  25. Jaeho Chang, Heedong Ko, Heekap Ahn, Changhoon Park.
    NAVER Musical Composition Environment.
    In Proc. Virtual Systems and MultiMedia (VSMM 2002), pages 809-814, 2002
  26. ChangHoon Park, HeeDong Ko, Hee-Kap Ahn, Jinwook Kim.
    NAVER: design and implementation of XML-based VR Framework on a PC cluster.
    In Proc. Virtual Systems and MultiMedia (VSMM 2002) pages 967-975, 2002
  27. Hee-Kap Ahn, Otfried Cheong, René van Oostrum.
    Casting a Polyhedron with Directional Uncertainty.
    In Proc. 13th Annual International Symposium on Algorithms and Computation (ISAAC 2002) LNCS 2518, pages 274-285, 2002
  28. Hee-Kap Ahn, Siu-Wing Cheng, Otfried Cheong, Mordecai Golin, René van Oostrum.
    Compatitive Facility Location along a Highway.
    In Proc. 7th Annual International Computing and Combinatorics Conference (COCOON 2001) LNCS 2108, pages 237-246, 2001
  29. Hee-Kap Ahn, Siu-wing Cheng, Otfried Cheong, Jack Snoeyink.
    The Reflex-Free Hull.
    In Proc. 13th Canadian Conference on Computational Geometry (CCCG 2001) pages 9-12, 2001
  30. Hee-Kap Ahn, Otfried Cheong, Jiri Matousek, Antoine Vigneron.
    Reachability by Paths of Bounded Curvature in Convex Polygons.
    In Proc. 16th Annu. ACM Symposium on Computational Geometry (SoCG 2000) pages 251-259, 2000
  31. H.-K. Ahn, P. Bose, J. Czyzowicz, N. Hanusse, E. Kranakis, P. Morin.
    Flipping your Lid.
    In Proc. 12th Canadian Conference on Computational Geometry (CCCG 2000) pages 13-16, 2000
  32. Hee-Kap Ahn, Siu-Wing Cheng, Otfried Cheong.
    Casting with Skewed Ejection Direction Revisited.
    In Proc. 11th Canadian Conference on Computational Geometry (CCCG 1999) pages 128-131, 1999
  33. Hee-Kap Ahn, Siu-Wing Cheng, Otfried Cheong.
    Casting with Skewed Ejection Direction.
    In Proc. 9th Ann. International Symposium on Algorithms and Computation (ISAAC 1998) LNCS 1533, pages 139-148, 1998
  34. Hee-Kap Ahn, Mark de Berg, Prosenjit Bose, Siu-Wing Cheng, Dan Halperin, Jiri Matousek, Otfried Schwarzkopf.
    Separating an Object from its Cast.
    In Proc. 13th Annu. ACM Symposium on Computational Geometry (SoCG 1997) pages 221-230, 1997

Other publications

  1. Hee-Kap Ahn, Sang-Sub Kim, Christian Knauer, Hyeon-Suk Na, Lena Schlipf, Chan-Su Shin, Antoine Vigneron.
    Covering and Piercing Disks with Two Centers.
    To appear in Proc. 27th European Workshop on Computational Geometry (EuroCG 2011), 2011.
  2. Hee-Kap Ahn, Christian Knauer, Marc Scherfenberg, Lena Schlipf, Antoine Vigneron.
    Computing the Discrete Fréchet Distance with Imprecise Input.
    In Proc. 26th European Workshop on Computational Geometry (EuroCG 2010), pages 13-16, 2010.
  3. Hee-Kap Ahn, Yoshio Okamoto, Iris Reinbacher.
    Tracing a Virus.
    In Proc. 3rd AAAC Annual Meeting, 2010.
  4. Wanbin Son, Hee-Kap Ahn.
    Skyline Queries in Metric Space.
    In Proc. 3rd AAAC Annual Meeting, 2010.
  5. Hee-Kap Ahn, Yoshio Okamoto.
    Adaptive Computational Geometry.
    In RIMS Proceedings of Workshop, pages 114-125, 2009.
  6. Hee-Kap Ahn, Marc Scherfenberg, Lena Schlipf, Antoine Vigneron.
    Computing the Discrete Fréchet Distance with Imprecise Input.
    In Proc. 12th Korea-Japan Joint Workhop on Algorithms and Computation (WAAC 2009), pages 132-137, 2009.
  7. Hee-Kap Ahn, Yoshio Okamoto.
    An Adaptive Algorithm for the Planar Convex Hull.
    In Proc. 2nd AAAC Annual Meeting, 2009.
  8. Hee-Kap Ahn, Sang Won Bae, Sang-Sub Kim, Matias Korman, Iris Reinbacher, Wanbin Son.
    Square and Rectangle Covering with Outliers.
    In Proc. 25th European Workshop on Computational Geometry, pages 273-276, 2009.
  9. Hee-Kap Ahn, Yoshio Okamoto.
    Adaptive Computational Geometry.
    In Proc. Workshop on Computational Geometry and Discrete Mathematics, Gyoto, Japan, pages 51-54, 2008
  10. Hee-Kap Ahn, Siu-Wing Cheng, Iris Reinbacher.
    Maximum Overlap of Convex Polytopes under Translation.
    In Proc. 11th Japan-Korea Joint Workshop on Algorithms and Computation, pages 181-188, 2008.
  11. Sang Won Bae, Hee-Kap Ahn.
    Optimal Disjoint Two-box Covering of Points.
    In Proc. 1st AAAC Annual Meeting, 2008.
  12. Hee-Kap Ahn, Siu-Wing Cheng, Iris Reinbacher.
    Translation Algorithms for Overlaying Convex Polyhedra.
    In Proc. 1st AAAC Annual Meeting, 2008
  13. Sang Won Bae, Chunseok Lee, Hee-Kap Ahn, Sunghee Choi, Kyung-Yong Chwa.
    Maintaining Extremal Points and Its Applications to Deciding Optimal Orientations.
    In Proc. 10th Korea-Japan Joint Workshop on Algorithms and Computation, pages 64-71, 2007.
  14. Hee-Kap Ahn, Mark de Berg, Otfried Cheong, Herman Haverkort, Frank van der Stappen, Laura Toma.
    River Networks and Watershed Maps of Triangulated Terrains Revisited.
    In Proc. 22nd European Workshop on Computational Geometry (EWCG 2006), pages 173-176, 2006
  15. Hee-Kap Ahn, Sang Won Bae, Otfried Cheong.
    A New Geometric Proof on Shortest Paths with Bounded Curvature.
    In Proc. 32nd KISS fall conference, pages 958-960, 2005
  16. Chong-Dae Park, Chan-Su Shin, Hee-Kap Ahn, Otfried Cheong, Antoine Vigneron.
    Approximation algorithms for maximizing the overlap of two planar convex sets under rigid motions.
    In Proc. Korea Computer Congress 2005, pages 901-903, 2005
  17. Hyeon-Suk Na, Chan-Su Shin, Hee-Kap Ahn.
    Geometric properties of roofs of rectilinear polygons.
    In Proc. Korea Computer Congress 2005, pages 895-897, 2005
  18. Hee-Kap Ahn, Yo-Sub Han, Chan-Su Shin.
    Approximating a Minimum-Diameter Spanning Tree with Bounded Degree.
    In Proc. Japan Conference on Discrete and Computational Geometry (JCDCG 2004)
  19. Yong Hee Park, Sang Won Bae, Hee-Kap Ahn, Kyung-Yong Chwa.
    Casting an Object with a Core.
    In Proc. 31st KISS fall conference, pages 706-708, 2004
  20. Chong-Dae Park, Chan-Su Shin, Hee-Kap Ahn, Hyunsub Lee, Kyung-Yong Chwa, Otfried Cheong.
    Approximating the Largest Empty and Fat Rectangle.
    In Proc. 31st KISS spring conference, pages 718-720, 2004
  21. Hee-Kap Ahn, Yo-Sub Han, Chan-Su Shin.
    Minimum Diameter Spanning Tree with Bounded Degree.
    In Proc. 30th KISS spring conference pages 806-808, 2003.
  22. Heedong Ko, Hee-Kap Ahn, Jin-Wook Kim, Jong-Guk Kim, Jae-Bok Song, Hong-Jun Eu, Myung-Whan Yun, In-Su Woo, Yeon-Dong Park.
    Evaluation of Car Prototype using CAVE-like Systems.
    In Proc. 30th KSES spring conference pages 66-73, 2002.
  23. Hee-Kap Ahn.
    Geometric Aspects of the Casting Process.
    Ph.D. Thesis, ISBN 90-393-2869-2, Utrecht University.
  24. Hee-Kap Ahn, Nikos Mamoulis, Ho Min Wong.
    A Survey on Multidimensional Access Methods.
    Tech.Report, UU-CS-2001-14, May 2001, Institute of Information and Computing Sciences, Utrecht University
  25. Hee-Kap Ahn, Otfried Cheong, Chan-Su Shin.
    Bridging Convex Regions and Related Problems.
    In Proc. 17th European Workshop on Computational Geometry (CG 2001) pages 53-56, 2001.
    Invited to Computational Geometry: Theory and Applications
  26. Hee-Kap Ahn, Siu-Wing Cheng, Otfried Cheong.
    Casting with Skewed Ejection Direction (extended abstract).
    In Proc. First ACM HongKong Postgraduate Research Day (1998)
  27. Hee-Kap Ahn.
    Casting with two-part cast: Opposite and Non-opposite cast removal.
    Master Thesis, POSTECH.
  28. Hee-Kap Ahn, Otfried Schwarzkopf.
    Castable Polyhedra in General Setting.
    In Proc. 24th KISS spring conference pages 703-706, 1997.

Hee-Kap Ahn