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Johannes Wallner — Publications


  1. H. Pottmann and J. Wallner. Computational Line Geometry. Mathematics + Visualization. Springer, Heidelberg, 2001. ISBN 3-540-42058-4. [Zbl], [MR], [doi].
  2. H. Pottmann and J. Wallner. Computational Line Geometry. Mathematics + Visualization. Springer, Heidelberg, 2010. ISBN 978-3-642-04017-7. 2nd printing. [Zbl], [MR], [doi].
  3. C. Ceccato, L. Hesselgren, M. Pauly, H. Pottmann, and J. Wallner. Advances in Architectural Geometry 2010. Springer, 2010. ISBN 978-3-7091-0308-1. [doi].
  4. L. Hesselgren, S. Sharma, J. Wallner, N. Baldassini, P. Bompas, and J. Raynaud. Advances in Architectural Geometry 2012. Springer, 2013. ISBN 978-3-7091-1250-2. [doi].


  5. J. Wallner. Approximation in Lieschen Transformationsgruppen durch Überlagerung von einparametrigen Untergruppen. Math. Pannon. 6 (1995), 163-173. [Zbl], [MR].
  6. J. Wallner and H. Pottmann. Rational blending surfaces between quadrics. Comput. Aided Geom. Design 14 (1997), 407-419. [MR], [doi].
  7. J. Wallner and U. Schaflinger. Viscous resuspension of a sediment caused by oscillating stratified flows. Acta Mech. 127 (1998), 147-153, abstract appeared in ZAMM 77, Suppl. 1(1977), 5361-5362. [Zbl], [doi].
  8. J. Wallner and H. Pottmann. Spline orbifolds. In A. Le Méhauté, C. Rabut, and L. L. Schumaker, editors, Curves and Surfaces with Applications in CAGD, pages 445-464. Vanderbilt University Press, 1997. [Zbl], [MR].
  9. J. Wallner, H.-Y. Chen, and H. Pottmann. Galilei Laguerre geometry and rational circular offsets. Beitr. Algebra Geom. 39 (1998), 291-305. [Zbl], [MR].
  10. J. Wallner. Generalized multiresolution analysis for arc splines. In M. Dæhlen, T. Lyche, and L. L. Schumaker, editors, Mathematical Methods for Curves and Surfaces II, pages 537-544. Vanderbilt University Press, Nashville, 1998, ISBN 0-8265-1315-8. [Zbl], [MR].
  11. H. Pottmann, J. Wallner, G. Glaeser, and B. Ravani. Geometric criteria for gouge-free three-axis milling of sculptured surfaces. ASME J. Mech. Design 121 (1999), 241-248. [doi].
  12. H. Pottmann and J. Wallner. Approximation algorithms for developable surfaces. Comput. Aided Geom. Design 16 (1999), 539-556. [Zbl], [MR], [doi].
  13. G. Glaeser, J. Wallner, and H. Pottmann. Collision-free 3-axis milling and selection of cutting tools. Computer-Aided Design 31 (1999), 225-232. [Zbl].
  14. H.-Y. Chen, I.-K. Lee, S. Leopoldseder, H. Pottmann, T. Randrup, and J. Wallner. On surface approximation using developable surfaces. Graph. Models Img. Processing 61 (1999), 110-124. [Zbl].
  15. J. Wallner, G. Glaeser, and H. Pottmann. Geometric contributions to 3-axis milling of sculptured surfaces. In G. J. Olling, B. K. Choi, and R. B. Jerard, editors, Machining Impossible Shapes, pages 33-41. Kluwer Academic Publ., Boston, 1999.
  16. J. Wallner. Self-intersections and smoothness of general offset surfaces. J. Geom. 70 (2001), 176-190. [Zbl], [MR].
  17. J. Wallner. On the semiaxes of touching quadrics. Results Math. 36 (1999), 373-383. [Zbl], [MR].
  18. J. Wallner. Configuration space of surface-surface contact. Geom. Dedicata 80 (2000), 173-185. [Zbl], [MR], [doi].
  19. J. Wallner, R. Krasauskas, and H. Pottmann. Error propagation in geometric constructions. Computer-Aided Design 32 (2000), 631-641.
  20. I.-K. Lee, J. Wallner, and H. Pottmann. Scattered data approximation with kinematic surfaces. In Proceedings of the Sampling Theory and Applications '99 conference in Loen, Norway, pages 72-77. Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, Trondheim, 1999, ISBN 0-8265-1356-5.
  21. J. Wallner and H. Pottmann. On the geometry of sculptured surface machining. In P.-J. Laurent, P. Sablonnière, and L. L. Schumaker, editors, Curve and Surface Design: Saint Malo 1999, pages 417-432. Vanderbilt University Press, Nashville, 2000, ISBN 0-8265-1356-5.
  22. 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.
  23. J. Wallner, T. Sakkalis, T. Maekawa, H. Pottmann, and G. Yu. Self-intersections of offset curves and surfaces. Int. J. Shape Modeling 7 (2001), 1-21.
  24. J. Wallner. Hopf mappings for complex quaternions. Beitr. Algebra Geom. 44 (2003), 245-262. [Zbl], [MR].
  25. H. Pottmann, J. Wallner, and S. Leopoldseder. Kinematical methods for the classification, reconstruction and inspection of surfaces. In SMAI 2001: Congrès national de mathématiques appliquées et industrielles, Publications de l'Équipe de Mathématiques Appliquées (Numéro special), pages 51-60. Université de Technologie de Compiègne, 2001.
  26. J. Wallner and H. Pottmann. Variational interpolation of subsets. Constr. Approx. 20 (2004), 233-248. [Zbl], [MR], [doi].
  27. H. Pottmann, S. Leopoldseder, J. Wallner, and M. Peternell. Recognition and reconstruction of special surfaces from point clouds. ISPRS Archives 34/3A (2002), 271-276.
  28. J. Wallner. Gliding spline motions and applications. Comput. Aided Geom. Design 21 (2004), 3-21. [Zbl], [MR], [doi].
  29. 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. [Zbl], [doi].
  30. H. Stachel and J. Wallner. Ivory's theorem in hyperbolic spaces. Sib. Math. J. 45 (2004), 785-794. [Zbl], [MR].
  31. Х. Штахель and И. Валлнер. Teopeмa Aйвopи в гипepбoличecкиx пpocтpaнcтвax. Sibirsk. Mat. Zh. 45 (2004), 946-959. [Zbl], [MR].
  32. S.-M. Hu and J. Wallner. Error propagation through geometric transformations. J. Geom. Graphics 8/2 (2004), 171-183. [Zbl], [MR].
  33. J. Wallner, H.-P. Schröcker, and S.-M. Hu. Tolerances in geometric constraint problems. Reliab. Comput. 11 (2005), 235-251. [Zbl], [MR], [doi].
  34. J. Wallner. Existence of set-interpolating and energy-minimizing curves. Comput. Aided Geom. Design 21 (2004), 883-892. [Zbl], [MR].
  35. J. Wallner and N. Dyn. Convergence and C1 analysis of subdivision schemes on manifolds by proximity. Comput. Aided Geom. Design 22/7 (2005), 593-622. [Zbl], [MR], [doi].
  36. S.-M. Hu and J. Wallner. A second order algorithm for orthogonal projection onto curves and surfaces. Comput. Aided Geom. Design 22/3 (2005), 251-260. [MR], [doi].
  37. H.-P. Schröcker and J. Wallner. Curvatures and tolerances in the Euclidean motion group. Results Math. 47 (2005), 132-146. [MR].
  38. J. Wallner and Q.-M. Yang. Swept volumes of many poses. In M. Desbrun and H. Pottmann, editors, SGP 2005: Third Eurographics Symposium on Geometry processing, pages 161-170. Eurographics Association, 2005, ISBN 3-905673-24-X.
  39. 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. [doi].
  40. J. Wallner and H. Pottmann. Intrinsic subdivision with smooth limits for graphics and animation. ACM Trans. Graphics 25/2 (2006), 356-374. [doi].
  41. Q.-M. Yang and J. Wallner. Asymptotic analysis of implicit tolerance problems. Math. Pannon. 16/2 (2005), 263-285. [MR].
  42. H.-P. Schröcker and J. Wallner. Geometric constructions with discretized random variables. Reliab. Comput. 12/3 (2006), 203-223. [Zbl], [MR], [doi].
  43. 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].
  44. M. Hofer, G. Sapiro, and J. Wallner. Fair polyline networks for constrained smoothing of digital terrain elevation data. IEEE Trans. Geosc. Remote Sensing 44/10/2 (2006), 2983-2990. [doi].
  45. J. Wallner. Smoothness analysis of subdivision schemes by proximity. Constr. Approx. 24/3 (2006), 289-318. [Zbl], [MR], [doi].
  46. B. Odehnal, H. Pottmann, and J. Wallner. Equiform kinematics and the geometry of line elements. Beitr. Algebra Geom. 47/2 (2006), 567-582. [Zbl], [MR].
  47. 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. [doi].
  48. J. Wallner. On a problem of elementary differential geometry and the number of its solutions. J. Geometry Graphics 10 (2006), 155-160. [Zbl], [MR].
  49. J. Wallner, H. Pottmann, and M. Hofer. Fair webs. The Visual Computer 23/1 (2007), 83-94. [doi].
  50. H. Pottmann and J. Wallner. The focal geometry of circular and conical meshes. Adv. Comp. Math 29 (2008), 249-268. [Zbl], [MR], [doi].
  51. J. Wallner, E. Nava Yazdani, and P. Grohs. Smoothness properties of Lie group subdivision schemes. Multiscale Modeling and Simulation 6 (2007), 493-505. [MR].
  52. J. Wallner and H. Pottmann. Infinitesimally flexible meshes and discrete minimal surfaces. Monatshefte Math. 153 (2008), 347-365. [Zbl], [MR], [doi].
  53. J. Wallner. Note on curve and surface energies. Comput. Aided Geom. Des 24 (2007), 494-498. [MR], [doi].
  54. 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. [Zbl], [MR].
  55. 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. [doi].
  56. 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. [doi].
  57. 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. [MR], [doi].
  58. P. Grohs and J. Wallner. Log-exponential analogues of univariate subdivision schemes in Lie groups and their smoothness properties. In M. Neamtu and L. L. Schumaker, editors, Approximation Theory XII: San Antonio 2007, pages 181-190. Nashboro Press, 2008, ISBN 978-0-9728482-9-9. [Zbl], [MR].
  59. W. Wang, J. Wallner, and Y. Liu. An angle criterion for conical mesh vertices. J. Geometry Graphics 11 (2007), 199-208. [Zbl], [MR].
  60. H. Pottmann, J. Wallner, Q. Huang, and Y.-L. Yang. Integral invariants for robust geometry processing. Comput. Aided Geom. Design 26 (2009), 37-60. [Zbl], [MR], [doi].
  61. M. Pauly, N. J. Mitra, J. Wallner, H. Pottmann, and L. Guibas. Discovering structural regularity in 3D geometry. ACM Trans. Graphics 27/3 (2008), #43,1-11, Proc. SIGGRAPH. [doi].
  62. 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].
  63. N. Dyn, P. Grohs, and J. Wallner. Approximation order of interpolatory nonlinear subdivision schemes. J. Comput. Appl. Math. 223 (2010), 1697-1703. [MR], [doi].
  64. H. Pottmann, A. Schiftner, and J. Wallner. Geometry of architectural freeform structures. Int. Math. Nachr. 209 (2008), 15-28.
  65. P. Grohs and J. Wallner. Interpolatory wavelets for manifold-valued data. Appl. Comput. Harmon. Anal. 27 (2009), 325-333. [Zbl], [MR], [doi].
  66. R. Tichy and J. Wallner. Johannes Frischauf - eine schillernde Persönlichkeit in Mathematik und Alpinismus. Int. Math. Nachr. 210 (2009), 21-32. [Zbl].
  67. C. Müller and J. Wallner. Oriented mixed area and discrete minimal surfaces. Discrete Comput. Geom. 43 (2010), 303-320. [Zbl], [MR], [doi].
  68. 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].
  69. A. Bobenko, H. Pottmann, and J. Wallner. A curvature theory for discrete surfaces based on mesh parallelity. Math. Annalen 348 (2010), 1-24. [Zbl], [MR], [doi], [arxiv:0901.4620].
  70. J. Wallner, E. Nava Yazdani, and A. Weinmann. Convergence and smoothness analysis of subdivision rules in Riemannian and symmetric spaces. Adv. Comp. Math 34 (2011), 201-218. [Zbl], [MR], [doi].
  71. H. Pottmann, Q. Huang, B. Deng, A. Schiftner, M. Kilian, L. Guibas, and J. Wallner. Geodesic patterns. ACM Trans. Graphics 29/4 (2010), #43,1-10, Proc. SIGGRAPH. [doi].
  72. H. Pottmann and J. Wallner. Freiformarchitektur und Mathematik. Mitt. DMV 18/2 (2010), 88-95. [Zbl], [MR].
  73. M. Zadravec, A. Schiftner, and J. Wallner. Designing quad-dominant meshes with planar faces. Computer Graphics Forum 29/5 (2010), 1671-1679, Proc. Symp. Geometry Processing. [doi].
  74. J. Wallner, A. Schiftner, M. Kilian, S. Flöry, M. Höbinger, B. Deng, Q. Huang, and H. Pottmann. Tiling freeform shapes with straight panels: Algorithmic methods. In C. Ceccato et al., editors, Advances in Architectural Geometry 2010, pages 73-86. Springer, 2010. [doi].
  75. J. Wallner and H. Pottmann. Geometric computing for freeform architecture. J. Math. Industry 1 (2011), #4,1-19. [MR], [doi].
  76. P. Grohs and J. Wallner. Definability and stability of multiscale decompositions for manifold-valued data. J. Franklin Institute 349 (2012), 1648-1664. [Zbl], [MR], [doi], [arxiv:1001.1517].
  77. P. Bo, H. Pottmann, M. Kilian, W. Wang, and J. Wallner. Circular arc structures. ACM Trans. Graphics 30 (2011), #101,1-11, Proc. SIGGRAPH. [doi].
  78. B. Deng, H. Pottmann, and J. Wallner. Functional webs for freeform architecture. Computer Graphics Forum 30/5 (2011), 1369-1378, Proc. Symp. Geometry Processing. [doi].
  79. J. Wallner. On the semidiscrete differential geometry of A-surfaces and K-surfaces. J. Geometry 103 (2012), 161-176. [Zbl], [MR], [doi].
  80. E. Vouga, M. Höbinger, J. Wallner, and H. Pottmann. Design of self-supporting surfaces. ACM Trans. Graphics 31/4 (2012), #87, 1-11, Proc. SIGGRAPH. [doi].
  81. C. Müller and J. Wallner. Semi-discrete isothermic surfaces. Results Math. 63 (2013), 1395-1407. [Zbl], [MR], [doi].
  82. S. Flöry, Y. Nagai, F. Isvoranu, H. Pottmann, and J. Wallner. Ruled free forms. In L. Hesselgren et al., editors, Advances in Architectural Geometry 2012, pages 57-66. Springer, 2013. [doi].
  83. M. Barton, L. Shi, M. Kilian, J. Wallner, and H. Pottmann. Circular arc snakes and kinematic surface generation. Computer Graphics Forum 32/2 (2013), 1-10, Proc. Eurographics. [doi].
  84. O. Karpenkov and J. Wallner. On offsets and curvatures for discrete and semidiscrete surfaces. Beitr. Algebra Geom. 55 (2014), 207-228. [Zbl], [MR], [doi].
  85. J. Wang, C. Jiang, P. Bompas, J. Wallner, and H. Pottmann. Discrete line congruences for shading and lighting. Computer Graphics Forum 32/5 (2013), 53-62, Proc. Symposium Geometry Processing. [doi].
  86. C. Jiang, J. Wang, P. Bompas, H. Pottmann, and J. Wallner. Freeform shading and lighting systems from planar quads. In C. Gengnagel, A. Kilian, J. Nembrini, and F. Scheurer, editors, Rethinking Prototyping - Proc. Design Modelling Symposium Berlin 2013, pages 335-346. epubli GmbH, Berlin, 2013, ISBN 978-3-8442-6845-4.
  87. M. Barton, H. Pottmann, and J. Wallner. Detection and reconstruction of freeform sweeps. Computer Graphics Forum 33/2 (2014), 23-32, Proc. Eurographics. [doi].
  88. H. Pottmann, C. Jiang, M. Höbinger, J. Wang, P. Bompas, and J. Wallner. Cell packing structures. Computer-Aided Design 60 (2015), 70-83, Special issue on Material Ecology. [doi].
  89. D.-M. Yan, J. Wallner, and P. Wonka. Unbiased sampling and meshing of isosurfaces. IEEE Trans. Vis. Comp. Graphics 20/11 (2014), 1579-1589. [doi].
  90. C. Tang, X. Sun, A. Gomes, J. Wallner, and H. Pottmann. Form-finding with polyhedral meshes made simple. ACM Trans. Graphics 33/4 (2014), #70,1-9, Proc. SIGGRAPH. [doi].
  91. C. Jiang, J. Wang, J. Wallner, and H. Pottmann. Freeform honeycomb structures. Computer Graphics Forum 33/5 (2014), 185-194, Proc. Symp. Geom. Processing. [doi].
  92. C. Jiang, C. Tang, M. Tomičić, J. Wallner, and H. Pottmann. Interactive modeling of architectural freeform structures - combining geometry with fabrication and statics. In P. Block, N. Mitra, J. Knippers, and W. Wang, editors, Advances in Architectural Geometry 2014, pages 95-108. Springer, 2015, ISBN 978-3-319-11417-0. [doi].
  93. J. Wallner. On convergent interpolatory subdivision schemes in Riemannian geometry. Constr. Approx. 40 (2014), 473-486. [Zbl], [MR], [doi].
  94. H. Pottmann, M. Eigensatz, A. Vaxman, and J. Wallner. Architectural geometry. Computers and Graphics 47 (2015), 145-164. [doi].
  95. C. Tang, P. Bo, J. Wallner, and H. Pottmann. Interactive design of developable surfaces. ACM Trans. Graphics 35/2 (2016), #12, 1-12. [doi].
  96. X. Sun, C. Jiang, J. Wallner, and H. Pottmann. Vertex normals and face curvatures of triangle meshes. In A. I. Bobenko, editor, Advances in Discrete Differential Geometry, pages 267-286. Springer, 2016. [doi].
  97. C. Jiang, F. Günther, J. Wallner, and H. Pottmann. Measuring and controlling fairness of triangulations. In Advances in Architectural Geometry 2016, pages 24-39. vdf Hochschulverlag, Zürich, 2016. [doi].
  98. C. Tang, M. Kilian, P. Bo, J. Wallner, and H. Pottmann. Analysis and design of curved support structures. In Advances in Architectural Geometry 2016, pages 8-23. vdf Hochschulverlag, Zürich, 2016. [doi].
  99. H. Pottmann and J. Wallner. Geometry and freeform architecture. In W. König, editor, Mathematics and Society, pages 131-151. European Math. Soc., 2016. [MR], [doi].
  100. W. Carl and J. Wallner. Variational Laplacians for semidiscrete surfaces. Adv. Comp. Math 42 (2016), 1491-1509. [doi].

    Miscellaneous Publications

  101. J. Wallner and H. Pottmann. Variational interpolation. Technical Report 84, Institut für Geometrie, TU Wien, 2001.
  102. J. Wallner. L2 approximation by Euclidean motions. Technical Report 93, Institute of Geometry, May 2002.
  103. J. Wallner, H. Pottmann, and M. Hofer. Fair curve networks in nonlinear geometries. ACM SIGGRAPH 2005 Conference Abstracts and Applications, August 2005 (electronic).
  104. J. Wallner. Computing quadrilateral and conical meshes. In A. Bobenko et al., editors, Discrete Differential Geometry, volume 3 of Oberwolfach Reports. 2006. Abstracts from the workshop held March 6--10, 2006. [Zbl].
  105. J. Wallner. Semidiscrete surface representations. In A. Bobenko et al., editors, Discrete Differential Geometry, Oberwolfach Reports. 2009. Abstracts from the workshop held January 12--17, 2009. [doi].
  106. J. Wallner. Circular arc structures. In V. Caselles et al., editors, Trends in Mathematical Imaging and Surface Processing, Oberwolfach Reports, pages 41-43. 2011. Abstracts from the workshop held January 30--February 5th, 2011. [doi].
  107. J. Wallner. Modelling of developabls and curved folds. In A. Bobenko et al., editors, Discrete Differential Geometry, volume 12 of Oberwolfach Reports, pages 690-691. 2015. Abstracts from the workshop held March 1--March 7, 2015. [doi].
  108. J. Wallner and H. Pottmann. Geometrische Struktur und Freiformarchitektur. IBDG 27/1 (2009), 34-38.

    Editorial Work

  109. H. Stachel and J. Wallner, editors. 25. Süddeutsches Differentialgeometriekolloquium (Wien Juni 2000), Wien, 2001. Institut für Geometrie, TU Wien. ISBN 3-902233-00-1. [Zbl], [MR].
  110. J. Wallner et al., editors. Internationale Mathematische Nachrichten. Österreichische Mathematische Gesellschaft. ISSN 0020-7926.


  111. J. Wallner. Starrheit und Beweglichkeit von Graphen. Master's thesis, Technische Universität Wien, 1994. Advisor: Hellmuth Stachel.
  112. J. Wallner. Viskose Resuspendierung in laminaren Schichtenströmungen. Master's thesis, Technische Universität Wien, 1995. Advisor: U. Schaflinger.
  113. J. Wallner. Geometric contributions to surface modeling. PhD thesis, Technische Universität Wien, 1996. Advisor: Helmut Pottmann.