Boris Odehnal | curriculum vitae | research interests | publications | talks | teaching activities (now)| teaching activities (past)

 

Boris Odehnal: publications

 

Articles

  1. H. Pottmann, B. Odehnal, M. Peternell, J. Wallner, and R. Ait Haddou. On optimal tolerancing in Computer-Aided Design. In R. Martin and W. Wang, editors, Geometric Modeling and Processing 2000, pages 347-363. IEEE Computer Society, Los Alamitos, Calif., 2000, ISBN 0-7695-0562-7.
  2. B. Odehnal and H. Pottmann. Computing with discrete models of ruled surfaces and line congruences. Electron. J. Comput. Kinematics 1/1 (2002), §20, Proceedings of the workshop `Computational Kinematics' in Seoul, May 19-22, 2001.
  3. H. Pottmann, M. Hofer, B. Odehnal, and J. Wallner. Line geometry for 3D shape understanding and reconstruction. In T. Pajdla and J. Matas, editors, Computer Vision - ECCV 2004, Part I, volume 3021 of Lecture Notes in Computer Science, pages 297-309. Springer, 2004, ISBN 3-540-21984-6.
  4. B. Odehnal. On rational isotropic congruences of lines. J. Geom. 81 (2005), 126-138.
  5. B. Odehnal. Zur geometrischen Erzeugung linearer Geradenabbildungen. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 213 (2004), 43-69.
  6. B. Odehnal. On isotropic congruences of lines in elliptic three-space. Math. Pannon. 16/1 (2005), 119-135.
  7. B. Odehnal. Three points related to the incenter and excenters of a triangle. Elem. Math. 61/2 (2006), 74-80.
  8. M. Hofer, B. Odehnal, H. Pottmann, T. Steiner, and J. Wallner. 3D shape recognition and reconstruction based on line element geometry. In 10th IEEE International Conference on Computer Vision, volume 2, pages 1532-1538. IEEE Computer Society, 2005, ISBN 0-7695-2334-X.
  9. B. Odehnal. Common normals of two tori. J. Geom. Graphics 9/1 (2005), 51-65.
  10. B. Odehnal. Flags in Euclidean three-space. Math. Pannon. 17/1 (2006), 29-48.
  11. B. Odehnal, H. Pottmann, and J. Wallner. Equiform kinematics and the geometry of line elements. Beitr. Algebra Geom. 47/2 (2006), 567-582.
  12. B. Odehnal. Die Linienelemente des P3. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 215 (2006) 155-171.
  13. M. Schrott and B. Odehnal. Ortho circles of Dupin cyclides. J. Geom. Graphics 10/1 (2006), 73-98.
  14. B. Odehnal. The geometry of flags. In Algebraic Geometry and Geometric Modeling, pages 101-106, 2006. Proceedings of the conference in Barcelona, September 4-7.
  15. G.  Windisch, B. Odehnal, R. Reimann, F.  Anderhuber, and H. Stachel. Contact areas of the tibiotalar joint. Journal of Orthopedic Research 25/11 (2007), 1481-1487.
  16. M. Peternell and B. Odehnal. Convolution surfaces of quadratic triangular Bézier surfaces. Comp. Aided Geom. Design 25 (2008), 116-129.
  17. M. Peternell and B. Odehnal, and L.M. Sampoli. On quadratic two-parameter families of spheres and their envelopes. Comp. Aided Geom. Design 25 (2008), 342-355.
  18. M. Peternell and B. Odehnal. On Generalized LN-Surfaces in 4-Space. In: J.R. Sendra, L. González-Vega (eds.): Symbolic and Algebraic Computation, International Symposium, ISSAC 2008, Linz/Hagenberg, Austria, July 20-23, 2008, Proceedings. ACM 2008, ISBN 978-1-59593-904-3, p. 223-230.
  19. B. Odehnal. Subdivision algorithms for ruled surfaces. J. Geom. Graphics 12/1 (2008), 35-52.
  20. B. Odehnal. Note on flecnodes. J. Geom. Graphics 13/1 (2009), 29-40.
  21. H. Havlicek, B. Odehnal, and M. Saniga. Factor-group-generated polar spaces and (multi-)Qudits. SIGMA Symmetry Integrability Geom. Methods Appl. 5 (2009), paper 096, 15 pp. (electronic).
  22. H. Havlicek, B. Odehnal, and M.  Saniga. Möbius pairs of simplices and commuting Pauli operators. Math. Pannon. 21/1 (2010), 115-128.
  23. B. Odehnal. Some triangle centers associated with the circles tangent to the excircles. Forum Geometricorum 10 (2010), 35-40.
  24. B. Odehnal. Generalized Gergonne and Nagel points. Beitr. Algebra Geom. 51/2 (2010), 477-491.
  25. B. Odehnal. Equioptic points of a triangle. Proc. 14th Internat. Conf. Geometry Graphics, Aug. 4-8, 2010, Kyoto/Japan, article No. 197, 7 pages, ISBN 978-4-9900967-1-7.
  26. B. Odehnal. Equioptic curves of conic sections. J. Geom. Graphics 14/1 (2010), 29-43.
  27. B. Odehnal. Poristic loci of triangle centers. J. Geom. Graphics 15/1 (2011), 45-67.
  28. H. Havlicek, B. Odehnal, and M. Saniga. On invariant notions of Segre varieties in binary projective spaces. Des. Codes Cryptogr. 62 (2012), 343-356.
  29. M. Hamann and B. Odehnal. Conchoidal ruled surfaces. Proc. 15th Internat. Conf. Geometry Graphics, Aug. 1-5, 2012, Montreal/Canada, article No. 089, 7 pages.
  30. B. Odehnal. Mixed intersection of Cevians and perspective triangles. Proc. 15th Internat. Conf. Geometry Graphics, Aug. 1-5, 2012, Montreal/Canada, article No. 090, 10 pages.
  31. M. Hagemann, D. Klawitter, B Odehnal. Curve flows on ruled surfaces. Proc. 15th Internat. Conf. Geometry Graphics, Aug. 1-5, 2012, Montreal/Canada, article No. 098, 9 pages.
  32. H. Havlicek, J. Kosiorek, and B. Odehnal. A point model for the free cyclic submodules over ternions. Results Math. 63 (2013), 1071-1078.
  33. B. Odehnal. Equioptic points of a triangle. J. Geom. Graphics 17/1 (2013), 15-24.
  34. B. Odehnal and J. Szirmai. Packing Coxeter honeycombs with sequences of spheres. Beitr. Algebra Geom. 53/1 (2013), 477-491.
  35. M. Hagemann, D. Klawitter, B Odehnal. Curve flows on ruled surfaces. J. Geom. Graphics 17/2 (2013), 129-140.
  36. B. Odehnal. Conchoids on the sphere. KoG 17 (2014), 43-52.
  37. B. Odehnal. A triad of circles externally tangent to the nine-point circle and internally tangent to two sides of a triangle. J. Geom. Graphics 18/1 (2014), 61-71.
  38. B. Odehnal. Curvature functions on a one-sheeted hyperboloid. Proc. 16th Internat. Conf. Geometry and Graphics, Aug. 4-8, 2014, Innsbruck/Austria, article No. 76, 235-244.
  39. B. Odehnal. Central Projections and Distances. KoG 18 (2014), 28-35.
  40. B. Odehnal. A rational minimal Möbius strip. Proc. 17th Intern. Conf. Geometry and Graphics, Aug. 4-8, 2016, Beijing/PRC, article No. 070, 12 pages.
  41. B. Odehnal. Degenerate cubic surfaces and the Wallace-Simson-Theorem in space. Proc. 17th Intern. Conf. Geometry and Graphics, Aug. 4-8, 2016, Beijing/PRC, article No. 071, 12 pages.
  42. B. Odehnal. On algebraic minimal surfaces. KoG 20 (2016), 61-78.
  43. B. Odehnal. Rational minimal surfaces tangent to Müller's cubic surface.
    G - slovenský Časopis pre Geometriu a Grafiku 14/27 (2017), 19-30.
  44. B. Odehnal. Hermite interpolation with ruled and channel surfaces.
    G - slovenský Časopis pre Geometriu a Grafiku 14/28 (2017), 35-58.
  45. B. Odehnal. Generalized conchoids. KoG 21 (2017), 35-46.
  46. B. Odehnal. Examples of autoisoptic curves. In: Proc. 18th Intern. Conf. Geometry and Graphics, L. Cocchiarella (ed.), ICGG 2018, Advances in Intelligent Systems and Computing, ISBN 978-3-319-95587-2, Milan, Italy, August 3-7, 2018, paper no. 82, 350-361.
  47. B. Odehnal. Higher dimensional geometries - What are they good for? In: Proc. 18th Intern. Conf. Geometry and Graphics, L. Cocchiarella (ed.), ICGG 2018, Advances in Intelligent Systems and Computing, ISBN 978-3-319-95587-2, Milan, Italy, August 3-7, 2018, paper no. KN5, 94-105.
  48. G. Glaeser, B. Odehnal, H. Stachel. A spatial version of the theorem of the angle of circumference. In: Proc. 18th Internat. Conf.  Geometry and Graphics, L. Cocchiarella (ed.), ICGG 2018, Advances in Intelligent Systems and Computing, ISBN 978-3-319-95587-2, Milan, Italy, August 3-7, 2018, paper no. 83, 265-276.
  49. B. Odehnal. Two convergent triangle tunnels. KoG 22 (2018), 20-28.
  50. G. Glaeser, B. Odehnal, H. Stachel. A spatial version of the theorem of the angle of circumference. J. Geom. Graphics 23/2 (2019), 147-156 (extended version of #48).
  51. B. Odehnal. Examples of isoptic ruled surfaces. In: ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics, L.-Y.  Cheng (ed.), ICGG 2020, Advances in Intelligent Systems and Computing, ISBN 978-3-030-63402-5, Sao Paulo, Brazil, August 8-13, 2020, paper no. 3, 25-37.
  52. B. Odehnal. A one-parameter family of triangle cubics. In: ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics, L.-Y.  Cheng (ed.), ICGG 2020, Advances in Intelligent Systems and Computing, ISBN 978-3-030-63402-5, Sao Paulo, Brazil, August 8-13, 2020, paper no. 4, 38-49.
  53. B. Odehnal. Distance Product Cubics. KoG 24/24 (2020), 29-40.
  54. B. Odehnal. Isoptic ruled surfaces of developable surfaces.
    J. Geom. Graphics 25/1 (2021), 1-17.
  55. B. Odehnal. A rarity in geometry: a septic curve. KoG 25/25 (2021), 25-39.
  56. R.A. Garcia, B. Odehnal, D. Reznik. Poncelet porisms in hyperbolic pencils of circles. J. Geom. Graphics 25/2 (2021), 205-225.
  57. R.A. Garcia, B. Odehnal, D. Reznik. Loci of Poncelet Triangles in the General Closure Case. J. Geom. 113:17 (2022), 30 pages.
  58. B. Odehnal, D. Reznik. Circumparabolas in Chapple's porism.
    In: ICGG 2022 - Proceedings of the 20th International Conference on Geometry and Graphics. L.-Y. Cheng (ed.) Lecture Notes on Data Engineering and Communications Technologies vol. 146, ISBN 978-3-031-13587-3, paper no. 004, 47-58.
  59. B. Odehnal. Permutation Cubics.
    In: ICGG 2022 - Proceedings of the 20th International Conference on Geometry and Graphics. L.-Y. Cheng (ed.) Lecture Notes on Data Engineering and Communications Technologies vol. 146, ISBN 978-3-031-13587-3 paper no. 005, 59-70.
  60. B. Odehnal. Beyond the Nine-Point Conic.
    In: ICGG 2022 - Proceedings of the 20th International Conference on Geometry and Graphics. L.-Y. Cheng (ed.) Lecture Notes on Data Engineering and Communications Technologies vol. 146, ISBN 978-3-031-13587-3, paper no. 006, 71-81.
  61. B. Odehnal, J. Porsch. Rectification of an Edgy Photograph.
    In: ICGG 2022 - Proceedings of the 20th International Conference on Geometry and Graphics. L.-Y. Cheng (ed.) Lecture Notes on Data Engineering and Communications Technologies vol. 46, ISBN 978-3-031-13587-3, paper no. 022, 251-262.
  62. B. Odehnal. Pencils of Fregier Conics. KoG 26/26 (2022), 33-43.
  63. B. Odehnal. From Permutation Points to Permutation Cubics. J. Geom. Graphics 26/2 (2022), 253-269 (extended version of #59).
  64. B. Odehnal. A Miquel-Steiner Transformation. KoG 27/27 (2023), 14-24.
  65. W. Jank, G. Glaeser, B. Odehnal. On the Geometry of Spherical Trochoids. KoG 27/27 (2023), 25-34.
  66. B. Odehnal. Variations on Fregier's theorem. Proceedings of the 9th Slovak-Czech Conference on Geometry and Graphics 2023, September 11-14, 2023, Kremnica, Slovak Republik, 153-158.
  67. B. Odehnal. Fregier's theorem in three dimensions. In: ICGG 2024 - Proceedings of the 21th International Conference on Geometry and Graphics. paper no. 034, 12 pages.
  68. G. Weiss, B. Odehnal. Miquel's theorem and its elementary geometric relatives. To appear in KoG, 22 pages.
  69. B. Odehnal. Universal Porisms and Yff Conics. To appear in KoG, 23 pages.

Chapters in Books

  1. B. Odehnal. Higher Dimensional Geometries. What are they good for? In: The Best Writing on Mathematics 2020. Article no. 13, 122-136. Princeton University Press, Princeton, 2020.

Books

  1. G. Glaeser, H. Stachel, and B. Odehnal. The Universe of Conics. From the ancient Greeks to 21st century developments. Springer-Spektrum, Springer-Verlag, Heidelberg, 2016.
  2. B. Odehnal, H. Stachel, and G. Glaeser. The Universe of Quadrics. Springer-Spektrum, Springer-Verlag, Heidelberg, 2020.
  3. G. Glaeser, H. Stachel, and B. Odehnal. The Universe of Conics. From the ancient Greeks to 21st century developments. Second edition. Springer-Spektrum, Springer-Verlag, Heidelberg, 2024.

Technical Reports

  1. B. Odehnal and H. Stachel. The upper talocalcanean join. Technical Report 127, Geometry Preprint Series, Vienna Univ. of Technology, October 2004.
  2. B. Odehnal. Circles which intersect a given surface at least two times orthogonally. Technical Report 155, Geometry Preprint Series, Vienna Univ. of Technology, February 2006.
  3. M.  Peternell, B. Odehnal. On a remarkable class of rational surfaces in 4-space generalizing surfaces with linear normal vector fields. Technical Report 185, Geometry Preprint Series, Vienna Univ. of Technology, January 2008.
  4. B. Odehnal. Approximation of ruled and canal surfaces by means of subdivision. Technical Report 192, Geometry Preprint Series, Vienna Univ. of Technology, November 2008.
  5. B. Odehnal. Packing with geometric sequences of spheres. Technical Report 217, Geometry Preprint Series, Vienna Univ. of Technology, June 2011.

Miscellaneous Publications

  1. B. Odehnal. Über isotrope Geradenkongruenzen. In 30. Süddeutsches Differentialgeometrie-Kolloquium, pages 51-62. TU Dresden, 2005, ISBN 3-86005-484-8.
  2. G.  Windisch, B. Odehnal, R.  Reimann and H. Stachel. Fünf Freiheitsgrade? Inwiefern das obere Sprunggelenk vom idealen Schanier abweicht. Annals of Anatomy Supplement 187 (2005), 305, [Abstract].
  3. G.  Glaeser, B. Odehnal. Die logarithmische Spirale - Teil 1.
    Mathebrief Nr. 116, Juni 2022, 4 p.
  4. G.  Glaeser, B. Odehnal. Die logarithmische Spirale - Teil 2.
    Mathebrief Nr. 117, Oktober 2022, 6 p.
  5. G.  Glaeser, B. Odehnal. Schiebflächen - eine faszinierende Flächenklasse.
    Mathebrief Nr. 125, Juni 2023, 6 p.

Editorship

  1. H. Havlicek, F. Manhart, and B. Odehnal (eds.): Proceedings - 33. Süddeutsches Kolloquium über Differentialgeometrie, Institut für Diskrete Mathematik und Geometrie, TU Wien, Wien, 2008, iii + 89 pp, ISBN-13: 978-3-902233-04-2.

Theses

  1. B. Odehnal. Zur inneren Geometrie bezüglich der zweiten Fundamentalform. Master's thesis, Technische Universität Wien, 1999. Advisor: F. Manhart.
  2. B. Odehnal. Geometric optimization methods for line congruences. PhD thesis, Technische Universität Wien, 2002. Advisor: H. Pottmann.
  3. B. Odehnal. Linienelemente und Flaggen. Habilitation thesis, Technische Universität Wien, 2007.
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Last modified on July 11th, 2024.