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Industrial Geometry
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Publications, subproject 06BiBTeX



    Journal articles

  1. Q.-X. Huang, S. Flöry, N. Gelfand, M. Hofer, and H. Pottmann. Reassembling fractured objects by geometric matching. ACM Trans. Graphics 25/3 (2006), 569-578, Proc. SIGGRAPH 2006.
  2. C.-Y. Kao, M. Hofer, G. Sapiro, J. Stern, K. Rehm, and D. A. Rottenberg. A geometric method for automatic extraction of sulcal fundi. IEEE Trans. Medical Imaging 26/4 (2007), 530-540.
  3. M. Kilian, N. J. Mitra, and H. Pottmann. Geometric modeling in shape space. ACM Trans. Graphics 26/3 (2007), #64, 1-8, Proc. SIGGRAPH.
  4. Y. Liu, H. Pottmann, J. Wallner, Y.-L. Yang, and W. Wang. Geometric modeling with conical meshes and developable surfaces. ACM Trans. Graphics 25/3 (2006), 681-689, Proc. SIGGRAPH.
  5. Y.-K. Lai, Q.-Y. Zhou, S.-M. Hu, J. Wallner, and H. Pottmann. Robust feature classification and editing. IEEE Trans. Vis. Comp. Graphics 13/1 (2007), 34-45. [doi].
  6. Y. Lai, S.-H. Hu, and H. Pottmann. Surface fitting based on a feature sensitive parametrization. Computer-Aided Design 38/7 (2006), 800-807.
  7. N. J. Mitra, L. Guibas, and M. Pauly. Symmetrization. ACM Trans. Graphics 26/3 (2007), #63, 1-8, Proc. SIGGRAPH.
  8. D. Aiger, N. J. Mitra, and D. Cohen-Or. 4-points congruent sets for robust pairwise surface registration. ACM Trans. Graphics 27/3 (2008), #85, Proc. SIGGRAPH.
  9. G. Nawratil and H. Pottmann. Subdivision schemes for the fair discretization of the spherical motion group. J. Comput. Appl. Math. 222/2 (2008), 574-591.
  10. B. Odehnal, H. Pottmann, and J. Wallner. Equiform kinematics and the geometry of line elements. Beitr. Algebra Geom. 47/2 (2006), 567-582.
  11. M. L. Sampoli, M. Peternell, and B. Jüttler. Rational surfaces with linear normals and their convolutions with rational surfaces. Comput. Aided Geom. Design 23 (2006), 179-192.
  12. M. Peternell and T. Steiner. Minkowski sum boundary surfaces of 3D-objects. Graphical Models 69 (2007), 180-190.
  13. M. Peternell and B. Odehnal. Convolution surfaces of quadratic triangular bezier surfaces. Comput. Aided Geom. Design 25 (2008), 116-129.
  14. H. Pottmann, J. Wallner, Y.-L. Yang, Y.-K. Lai, and S.-M. Hu. Principal curvatures from the integral invariant viewpoint. Comput. Aided Geom. Design 24 (2007), 428-442.
  15. H. Pottmann, Y. Liu, J. Wallner, A. Bobenko, and W. Wang. Geometry of multi-layer freeform structures for architecture. ACM Trans. Graphics 26/3 (2007), #65, 1-11, Proc. SIGGRAPH.
  16. H. Pottmann and J. Wallner. The focal geometry of circular and conical meshes. Adv. Comp. Math 29 (2008), 249-268. [Zbl], [MR], [doi].
  17. J. Wallner and H. Pottmann. Infinitesimally flexible meshes and discrete minimal surfaces. Monatshefte Math. 153 (2008), 347-365.
  18. M. Kilian, S. Flöry, Z. Chen, N. J. Mitra, A. Sheffer, and H. Pottmann. Curved folding. ACM Trans. Graphics 27/3 (2008), #75, 1-9, Proc. SIGGRAPH.
  19. H. Pottmann, A. Schiftner, P. Bo, H. Schmiedhofer, W. Wang, N. Baldassini, and J. Wallner. Freeform surfaces from single curved panels. ACM Trans. Graphics 27/3 (2008), #76,1-10, Proc. SIGGRAPH. [doi].
  20. M. Pauly, N. J. Mitra, J. Wallner, H. Pottmann, and L. J. Guibas. Discovering structural regularity in 3D geometry. ACM Trans. Graphics 27/3 (2008), #43, 1-11, Proc. SIGGRAPH.
  21. H. Pottmann, P. Grohs, and N. J. Mitra. Laguerre minimal surfaces, isotropic geometry and linear elasticity. Adv. Comp. Math. 31 (2009), 391-419.
  22. A. Schiftner, M. Höbinger, J. Wallner, and H. Pottmann. Packing circles and spheres on surfaces. ACM Trans. Graphics 28/5 (2009), #139,1-8, Proc. SIGGRAPH Asia. [doi].
  23. H. Pottmann, J. Wallner, Q. Huang, and Y.-L. Yang. Integral invariants for robust geometry processing. Comput. Aided Geom. Design 26 (2009), 37-60. [MR], [doi].
  24. G. Nawratil, H. Pottmann, , and B. Ravani. Generalized penetration depth computation based on kinematical geometry. Computer Aided Geometric Design 26/4 (2009), 425-443. [doi].
  25. A. Bobenko, H. Pottmann, and J. Wallner. A curvature theory for discrete surfaces based on mesh parallelity. Math. Annalen (2010), to appear. [doi].
  26. M. Peternell. Rational two-parameter families of spheres and rational offset surfaces. J. Symbolic Computation 45 (2010), 1-18.
  27. H. Pottmann, P. Grohs, and B. Blaschitz. Edge offset meshes in Laguerre geometry. Adv. Comp. Math. (2010), to appear. [doi].

    Refereed articles in books and conference proceedings

  28. M. Hofer, B. Odehnal, H. Pottmann, T. Steiner, and J. Wallner. 3D shape recognition and reconstruction based on line element geometry. In Tenth IEEE International Conference on Computer Vision, volume 2, pages 1532-1538. IEEE Computer Society, 2005, ISBN 0-7695-2334-X.
  29. Y.-L. Yang, Y.-K. Lai, S.-M. Hu, and H. Pottmann. Robust principal curvatures on multiple scales. In K. Polthier and A. Sheffer, editors, SGP 2006: 4th Eurographics Symposium on Geometry processing, pages 223-226. Eurographics Association, 2006.
  30. O. Aichholzer, F. Aurenhammer, T. Hackl, B. Kornberger, M. Peternell, and H. Pottmann. Approximating boundary-triangulated objects with balls. In Proc. 23rd European Workshop on Computational Geometry, pages 130-133. TU Graz, 2007.
  31. F. Aurenhammer, J. Wallner, M. Peternell, and H. Pottmann. Voronoi diagrams for oriented spheres. In C. Gold, editor, Proc. ISVD'07: 4th Int. Conf. Voronoi Diagrams in Science and Engineering, pages 33-37. IEEE Computer Society, 2007, ISBN 0-7695-2869-4.
  32. M. Hofer. Constrained optimization with curves and curve networks - a survey. In M. Sbert, editor, Proceedings 23rd Spring Conference on Computer Graphics, pages 31-39. Comenius University, Bratislava, 2007.
  33. N. J. Mitra, S. Flöry, M. Ovsjanikov, N. Gelfand, L. Guibas, and H. Pottmann. Dynamic geometry registration. In A. Belyaev and M. Garland, editors, Symposium on Geometry Processing, pages 173-182. Eurographics, 2007.
  34. H. Pottmann, S. Brell-Cokcan, and J. Wallner. Discrete surfaces for architectural design. In P. Chenin, T. Lyche, and L. L. Schumaker, editors, Curves and Surface Design: Avignon 2006, pages 213-234. Nashboro Press, 2007, ISBN 978-0-9728482-7-5.
  35. H. Pottmann and Y. Liu. Discrete surfaces in isotropic geometry. In R. Martin, M. Sabin, and J. Winkler, editors, The Mathematics of Surfaces XII, number 4647 in Lecture Notes in Computer Science, pages 341-363. Springer, 2007.
  36. M. Peternell and B. Odehnal. On generalized LN-surfaces in 4-space. In D. Jeffrey, editor, ISSAC 2008: Intl.~Symposium on Symbolic Computation, pages 223-230. ACM, 2008.
  37. R. Krasauskas and M. Peternell. Rational offset surfaces and their modeling applications. In I. Emiris, F. Sottile, and T. Theobald, editors, Nonlinear Computational Geometry (IMA Volume 151), pages 109-136. 2009.

    Technical Reports

  38. T. Fidler, M. Grasmair, H. Pottmann, and O. Scherzer. Inverse problems of integral invariants and signatures. Technical Report 2007-01, Johann Radon Inst. Comp. Appl. Math, 2007.
  39. M. Kilian. Shapes, metrics, and their geodesics. Geometry Preprint 178, Vienna University of Technology, January 2007.
  40. N. Thorstensen, M. Hofer, G. Sapiro, and H. Pottmann. Measuring cortical thickness from volumetric MRI data. Geometry Preprint 170, Vienna University of Technology, December 2006.

    Miscellaneous Publications

  41. H. Pottmann, A. Schiftner, and J. Wallner. Geometry of architectural freeform structures. Int. Math. Nachr. 209 (2008), 15-28.
  42. J. Wallner and H. Pottmann. Geometrische Struktur und Freiformarchitektur. IBDG 27/1 (2009), 34-38.



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