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Differential Geometry and Geometric Structures

Publications:

List of Publications since 1994 This list includes also publications of our former or retired members (Andrea Blunck, Johannes Gmainer, Walther Jank, Klaus List, Markus Pfeifer, Wolfgang Rath, Hans-Peter Schröcker, Johannes Wallner, Qinming Yang, and others). Misc. 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 Unpublished B. Odehnal and H. Stachel. The upper talocalcanean join. Technical Report 127, Geometry Preprint Series, Vienna Univ. of Technology, October 2004. 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. B. Odehnal. Die Linienelemente des P3. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II, to appear. M. Peternell and B. Odehnal. Convolution surfaces of quadratic triangular Bézier surfaces. Geometry Preprint 169, Vienna University of Technology, October 2006. 2006 G. Figliolini, H. Stachel, and J. Angeles. On Martin Disteli's main achievments in spatial gearing. In M. Husty and H.-P. Schröcker, editors, Proceedings of EuCoMeS, 2006, ISBN 3-901249-85-0. 12 pp. held in Obergurgl, Feb. 21--26, 2006 [electronic]. H. Havlicek and P. Šemrl. From geometry to invertibility preservers. Studia Mathematica 174 (2006), 99-109. [pdf]. 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. 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. F. Manhart. Affine surfaces with planar affine normals in 3-dimensional Minkowski space R13. Math. Pannon. 17/1 (2006), 69-82. G. Nawratil. New performance indices for 6R robot postures. In M. Husty and H.-P. Schröcker, editors, Proceedings of EuCoMeS, 2006, ISBN 3-901249-85-0. 12pp. held in Obergurgl, Feb. 21--26, 2006 [electronic]. G. Nawratil. The control number as index for Stewart-Gough platforms. In J. Lenarčič and B. Roth, editors, Advances in Robot Kinematics, Mechanisms and Motion, pages 15-22. Springer, 2006, ISBN 1-4020-4940-4. B. Odehnal. Three points related to the incenter and excenters of a triangle. Elem. Math. 61/2 (2006), 74-80. B. Odehnal. Flags in euclidean three-space. Math. Pannon. 17/1 (2006), 29-48. 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. B. Odehnal, H. Pottmann, and J. Wallner. Equiform kinematics and the geometry of line elements. Beitr. Algebra Geom. 47/2 (2006), 567-582. H.-P. Schröcker and J. Wallner. Geometric constructions with discretized random variables. Reliab. Comput. 12/3 (2006), 203-223. M. Schrott and B. Odehnal. Ortho circles of Dupin cyclides. J. Geom. Graphics 10 (2006), 73-98. H. Stachel. Flexible octahedra in the hyperbolic space. In A. Prékopa and A. Molnár, editors, Non-Euclidean Geometries, volume 581 of Mathematics and its applications, pages 209-225. Springer, 2006, ISBN 0-387-29554-2. Proc. Janos Bolyai Conference in Hyperbolic Geometry, held in Budapest, July 8--12, 2002. J. Wallner and H. Pottmann. Intrinsic subdivision with smooth limits for graphics and animation. ACM Trans. Graphics 25/2 (2006), 356-374. J. Wallner. Smoothness analysis of subdivision schemes by proximity. Constr. Approx. 24/3 (2006), 289-318. 2005 A. Blunck and H. Havlicek. On distant-isomorphisms of projective lines. Aequationes Math. 69 (2005), 146-163. [pdf]. A. Blunck and H. Havlicek. On bijections that preserve complementarity of subspaces. Discrete Math. 301/1 (2005), 46-56. [pdf]. S. Giese, H. Havlicek, and R.-H. Schulz. Some constructions of divisible designs from Laguerre geometries. Discrete Mathematics 301/1, 74-82. [pdf]. J. Gmainer and H. Havlicek. Isometries and collineations of the Cayley surface. Innov. Incidence Geom. 2 (2005), 111-129. [pdf]. H. Havlicek. Cayley's surface revisited. J. Geometry 82 (2005), 71-82. [pdf]. H. Havlicek. Higher order contact on Cayley's ruled cubic surface. In 30. Süddeutsches Differentialgeometrie-Kolloquium, pages 27-34. TU Dresden, 2005, ISBN 3-86005-484-8. H. Havlicek and M. Pankov. Transformations on the product of Grassmann spaces. Demonstratio Math. 38 (2005), 675-688. [pdf]. 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. 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]. B. Odehnal. On isotropic congruences of lines in elliptic three-space. Math. Pannon. 16 (2005), 119-135. B. Odehnal. On rational isotropic congruences of lines. J. Geom. 81 (2005), 126-138. B. Odehnal. Über isotrope Geradenkongruenzen. In 30. Süddeutsches Differentialgeometrie-Kolloquium, pages 51-62. TU Dresden, 2005, ISBN 3-86005-484-8. B. Odehnal. Common normals of two tori. J. Geom. Graphics 9 (2005), 51-65. H.-P. Schröcker and J. Wallner. Curvatures and tolerances in the Euclidean motion group. Results Math. 47 (2005), 132-146. [MR]. H. Stachel. On spatial involute gearing. In L. Csöke et al., editors, Proc. 6th ICAI, Eger/Hungary, January 27-31, volume 1, pages 27-40. 2005. H. Stachel. Teaching spatial kinematics for engineers. Internat. Conference on Engineering Education 2005/2, 845-851, Jerzy Mościński and Marcin Maciażek, eds. H. Stachel. Descriptive Geometry in today's engineering curriculum. Transactions of FAMENA 29/2 (2005), 35-44. J. Wallner, H.-P. Schröcker, and S.-M. Hu. Tolerances in geometric constraint problems. Reliab. Comput. 11 (2005), 235-251. [MR]. 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. J. Wallner, H. Pottmann, and M. Hofer. Fair curve networks in nonlinear geometries. ACM SIGGRAPH 2005 Conference Abstracts and Applications, August 2005 (electronic). 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. [MR]. E. Tsutsumi, H.-P. Schröcker, H. Stachel, and G. Weiß. Evaluation of student's spatial abilities in Austria and Germany. J. Geometry Graphics 9 (2005), 107-117. C. Xu, Q.-M. Yang, and H. Danninger. A method to determine the load-bearing cross-section of sintered streels - the application of the image-analysis software PCS. In A. Arvand and H. Danninger, editors, PM Auto '05, 2005. Internat. Congress on Powder Metallurgy for Automotive Parts, Isfahan, April 17--21, 2005. Q.-M. Yang and J. Wallner. Asymptotic analysis of implicit tolerance problems. Math. Pannon. 16/2 (2005), 263-285. [MR]. 2004 H. Havlicek and V. Pambuccian. On the axiomatics of projective and affine geometry in terms of line intersection. Results Math. 44 (2004), 35-44. [MR], [pdf]. S.-M. Hu and J. Wallner. Error propagation through geometric transformations. J. Geom. Graphics 8/2 (2004), 171-183. [MR]. F. Manhart. Affine rotational surfaces with vanishing affine curvature. J. Geom. 80 (2004), 166-178. B. Odehnal. Zur geometrischen Erzeugung linearer Geradenabbildungen. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 213 (2004), 43-69. 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. H.-P. Schröcker. The manifold of planes that intersect four straight lines in points of a circle. J. Geom. Graphics 8, 59-68. H.-P. Schröcker and G. Glaeser. Geometrisches Freihandzeichnen - Anregungen, Gedanken, Beispiele. Inf. Bl. Darst. Geom. 23/1 (2004), 16-20. H. Stachel and J. Wallner. Ivory's theorem in hyperbolic spaces. Sib. Math. J. 45 (2004), 785-794. [Zbl], [MR]. Х. Штахель and И. Валлнер. Teopeмa Aйвopи в гипepбoличecкиx пpocтpaнcтвax. Sibirsk. Mat. Zh. 45 (2004), 946-959. [Zbl], [MR]. H. Stachel. On Jack Phillips' spatial involute gearing. In Y. Zuo et al., editors, The 11th International Conference on Geometry and Graphics, pages 43-48. Stankin/Yanus-K., Moscow, 2004, ISBN 5-8037-0184-X. held in Guangzhou, China, August 1-5, 2004. H. Stachel. On Arne D"ur's equation concerning central axonometries. J. Geom. Graphics 8/2 (2004), 215-224. H. Stachel. Chemu sluzhi nacrtna geometrija? KoG 8, 37-42, translation of: What is Descriptive Geometry for? (Dresden Symposium 2003). H. Stachel. Schraubtorsen als Zahnflanken. Inf. Bl. Darst. Geom. 23/2 (2004), 46-50. J. Wallner and H. Pottmann. Variational interpolation of subsets. Constr. Approx. 20 (2004), 233-248. [MR]. J. Wallner. Gliding spline motions and applications. Comput. Aided Geom. Design 21 (2004), 3-21. [MR]. J. Wallner. Existence of set-interpolating and energy-minimizing curves. Comput. Aided Geom. Design 21 (2004), 883-892. [MR]. G. Wang and Q.-M. Yang. Planar cubic hybrid hyperbolic polynomial curve and its shape classification. Progress in Natural Science 14/1 (2004), 41-46. [MR]. Y.-W. Wei, G.-Z. Wang, and Q.-M. Yang. Degree elevation of interval Bézier curves and surfaces. Applied Mathematics. Series A (Chinese Edition) [Gaoxiao Yingyong Shuxue Xuebao. A Journal of Chinese Universities] 19/2 (2004), 215-224. [MR]. Q.-M. Yang and G.-Z. Wang. Inflection points and singularities on C-curves. Comput. Aided Geom. Design 21 (2004), 207-213. [MR]. 2003 A. Bichara, H. Havlicek, and C. Zanella. On linear morphisms of product spaces. Discrete Math. 267 (2003), 35-43, Combinatorics 2000 (Gaeta). [Zbl], [MR], [pdf]. A. Blunck and H. Havlicek. Jordan homomorphisms and harmonic mappings. Monatsh. Math. 139 (2003), 111-127. [Zbl], [MR], [pdf]. A. Blunck and H. Havlicek. Radical parallelism on projective lines and non-linear models of affine spaces. Math. Pannon. 14 (2003), 113-127. [Zbl], [MR], [pdf]. H. Havlicek and K. List. A three-dimensional Laguerre-geometry and its visualization. In G. Weiss, editor, DSG-CK Dresden Symposium Geometrie: konstruktiv & kinematisch, pages 122-129. TU Dresden, 2003, ISBN 3-86005-394-9. held in Dresden 27.2.-1.3.2003. [MR], [pdf]. H. Havlicek and G. Weiss. Altitudes of a tetrahedron and traceless quadratic forms. Amer. Math. Monthly 110/8 (2003), 679-693. [MR], [pdf]. H. Havlicek and C. Zanella. On embedded products of Grassmannians. Discrete Math. 267 (2003), 153-158, Combinatorics 2000 (Gaeta). [Zbl], [MR], [pdf]. H. Havlicek and S. Pasotti. A survey on the notion of regulus in a skew space. Quaderni del Seminario Matematico di Brescia 17 (2003), 32 pages. H. Havlicek. Veronese varieties over fields with non-zero characteristic: a survey. Discrete Math. 267 (2003), 159-173, Combinatorics 2000 (Gaeta). [Zbl], [MR], [pdf]. F. Manhart. Kurven und Flächen - Analytische Behandlung und graphische Darstellung mit MAPLE. Teil 2: Flächen. Inf. Bl. Darst. Geom. 22/1 (2003), 35-44. F. Manhart. Surfaces with affine rotational symmetry and flat affine metric in R3. Studia Sci. Math Hungarica 40 (2003), 1-10. M. Peternell and F. Manhart. The convolution of a paraboloid and a parametrized surface. J. Geom. Graphics 7 (2003), 157-171. H. Stachel. What is descriptive geometry for?. In DSG-CK Dresden Symposium Geometrie: konstruktiv & kinematisch, pages 327-336. TU Dresden, 2003, ISBN 3-86005-394-9. held in Dresden 27.2.--1.3.2003. J. Wallner. Hopf mappings for complex quaternions. Beitr. Algebra Geom. 44 (2003), 245-262. [Zbl], [MR]. 2002 A. Blunck and H. Havlicek. Recent results in chain geometry. Fifth international conference on geometry and Applications, Varna (Bulgaria) 2002, J. Geometry 73 (2002), 6-7, (abstract). H. Havlicek, K. List, and C. Zanella. On automorphisms of flag spaces. Linear Multilinear Algebra 50/3 (2002), 241-251. [Zbl], [MR], [pdf]. H. Havlicek. A model of the Witt design W_12 based on quadrics of PG(2,3). Discrete Math. 255 (2002), 189-192, Combinatorics '98 (Palermo). [Zbl], [MR], [pdf]. F. Manhart. Kurven und Flächen - Analytische Behandlung und graphische Darstellung mit MAPLE. Teil 1: Ebene Kurven. Inf. Bl. Darst. Geom. 21/2 (2002), 35-44. 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. 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. H. Stachel. Napoleon's theorem and generalizations through linear maps. Beitr. Algebra Geom. 43 (2002), 433-444. [Zbl], [MR]. H. Stachel. A way to geometry through descriptive geometry. Prikladna geometriya ta inzhenerna grafika [ukr.], (Applied Geometry and Engineering Graphics) 70 (2002), 14-19. H. Stachel. Ivory's theorem in the Minkowski plane. Math. Pannon. 13 (2002), 11-22. [Zbl], [MR]. H. Stachel. Configuration theorems on bipartite frameworks. Rend. Circ. Mat. Palermo (2) Suppl. 70/II (2002), 335-351, IV International Conference in ``Stochastic Geometry, Convex Bodies, Empirical Measures & Applications to Engineering Science'', Vol. II (Tropea, 2001). [MR]. H. Stachel. Remarks on Bricard's flexible octahedra of type 3. In Proc. 10th ICGG, volume 1, pages 8-12, Kyiv, 2002. ISBN 966-96185-2-5. held in Kiev (Ukraine), July 28 -- Aug. 3, 2002. H. Stachel. Remarks on A. Hirsch's paper concerning Villarceau sections. J. Geom. Graphics 6 (2002), 133-139. [MR]. G. Weiss and H. Havlicek. Ecken- und Kantenhöhen im Tetraeder. KoG 6 (2002), 71-80. [MR], [pdf]. 2001 A. Blunck and H. Havlicek. The connected components of the projective line over a ring. Adv. Geom. 1 (2001), 107-117. [Zbl], [MR], [pdf]. A. Blunck and H. Havlicek. The dual of a chain geometry. J. Geom. 72 (2001), 27-36. [Zbl], [MR], [pdf]. A. Blunck. Der Distanzgraph der projektiven Geraden über einem Ring. In S. Handrock and W. Lang, editors, Tagungsband der 4. Tagung der deutschen Sektion der Europäischen Mathematikerinnen Vereinigung (EWM), pages 51-53. Technische Universität Chemnitz, Chemnitz, 2001. J. Gmainer. Pascal's triangle, normal rational curves, and their invariant subspaces. European J. Combin. 22/1 (2001), 37-49. [MR]. H. Havlicek and H. Lenz. Another simple proof for the existence of the small Witt design. Elem. Math. 56 (2001), 89-94. [Zbl], [MR], [pdf]. H. Havlicek, G. Krenn, J. Summhammer, and K. Svozil. Colouring the rational quantum sphere and the Kochen-Specker theorem. J. Phys. A 34 (2001), 3071-3077. [Zbl], [MR], [pdf]. K. List. Harmonic mappings and hyperbolic Plücker transformations. J. Geom. 70/1-2 (2001), 108-116. [MR]. B. Odehnal and H. Pottmann. Computing with discrete models of ruled surfaces and line congruences. In F. C. Park and C. C. Iurascu, editors, Computational Kinematics, pages 211-226, 2001. Proceedings of the workshop in Seoul, May 19-22, 2001. H. Pottmann and J. Wallner. Computational Line Geometry. Mathematics + Visualization. Springer, Heidelberg, 2001. ISBN 3-540-42058-4. [Zbl], [MR]. 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. 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. J. Wallner. Self-intersections and smoothness of general offset surfaces. J. Geom. 70 (2001), 176-190. [Zbl], [MR]. 2000 A. Blunck and H. Havlicek. Extending the concept of chain geometry. Geom. Dedicata 83 (2000), 119-130, Special issue dedicated to Helmut R. Salzmann on the occasion of his 70th birthday. [Zbl], [MR], [pdf]. A. Blunck. Finite circle planes. In European women in mathematics (Loccum, 1999), pages 171-176. Hindawi Publ. Corp., Cairo, 2000. [Zbl], [MR]. A. Blunck and H. Havlicek. Projective representations. I. Projective lines over rings. Abh. Math. Sem. Univ. Hamburg 70 (2000), 287-299. [Zbl], [MR], [pdf]. A. Blunck and H. Havlicek. Projective representations. II. Generalized chain geometries. Abh. Math. Sem. Univ. Hamburg 70 (2000), 301-313. [Zbl], [MR], [pdf]. A. Blunck. Reguli and chains over skew fields. Beitr. Algebra Geom. 41/1 (2000), 7-21. [Zbl], [MR]. J. Gmainer and H. Havlicek. A dimension formula for the nucleus of a Veronese variety. Linear Algebra Appl. 305 (2000), 191-201. [Zbl], [MR], [pdf]. J. Gmainer and H. Havlicek. Nuclei of normal rational curves. J. Geom. 69 (2000), 117-130. [Zbl], [MR], [pdf]. K. List. On orthogonality-preserving Plücker transformations of hyperbolic spaces. Abh. Math. Sem. Univ. Hamburg 70 (2000), 63-75. [MR]. F. Manhart. Die Flächen mit geraden Linien als affinen Zentraflächen. J. Geom. 69 (2000), 166-171. [MR]. F. Manhart. Geometrie für Vermessungswesen. In SDG Symposium Darstellende Geometrie, pages 81-93. TU Dresden, Institut für Geometrie, 2000, ISBN 3-86005-258-6. Proceedings of the conference held June 15.-17, 2000. 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. W. Rath. Erlernen von Eigenschaften der Parallel- und Zentralprojektion anhand von Erkennungs- und Rekonstruktionsaufgaben. In SDG Symposium Darstellende Geometrie. TU Dresden, Institut für Geometrie, 2000, ISBN 3-86005-258-6. Proceedings of the conference held June 15.-17, 2000. H. Stachel. Instantaneous spatial kinematics and the invariants of the axodes. In Proceedings Ball 2000 Symposium, Cambridge, 2000. No. 23, 14 p. H. Stachel. Das Gleichlauf-Kugelgelenk - ein Beispiel zum anwendungsorientierten Unterricht aus Darstellende Geometrie. In SDG Symposium Darstellende Geometrie, pages 151-156. TU Dresden, Institut für Geometrie, 2000, ISBN 3-86005-258-6. Proceedings of the conference held June 15.-17, 2000. H. Stachel. Remarks on rigidity. In Proceedings of the 9th ICGG, volume 2, pages 368-372, 2000. held in Johannesburg (South Africa), July 28 -- 31, 2000. H. Stachel. Flexible cross-polytopes in the Euclidean 4-space. J. Geom. Graphics 4 (2000), 159-167. [Zbl], [MR]. H. Stachel. Recent applications of descriptive geometry to mechanical engineering. In Proceedings of the 5th Japan-China Joint Conference on Geometry Education, pages 7-11 (Supplement), 2001. held in Osaka (Japan), July 31 -- August 2, 2001. 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. J. Wallner, R. Krasauskas, and H. Pottmann. Error propagation in geometric constructions. Computer-Aided Design 32 (2000), 631-641. J. Wallner. Configuration space of surface-surface contact. Geom. Dedicata 80 (2000), 173-185. [Zbl], [MR]. 1999 A. Blunck and H. Havlicek. Affine spaces within projective spaces. Results Math. 36 (1999), 237-251. [Zbl], [MR], [pdf]. A. Blunck. Regular spreads and chain geometries. Bull. Belg. Math. Soc. Simon Stevin 6/4 (1999), 589-603. [Zbl], [MR]. 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]. 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]. G. Glaeser and H. Stachel. Open Geometry: OpenGL + Advanced Geometry. Springer, New York, 1999. ISBN 0-387-98599-9. [Zbl]. H. Havlicek. Chow's theorem for linear spaces. Discrete Math. 208/209 (1999), 319-324, Combinatorics (Assisi, 1996). [Zbl], [MR], [pdf]. H. Havlicek. Giuseppe Veronese and Ernst Witt-neighbours in pg(5,3). Aequationes Math. 58 (1999), 85-92, Dedicated to János Aczél on the occasion of his 75th birthday. [Zbl], [MR], [pdf]. H. Havlicek. Weak linear mappings-a survey. In 107 Jahre Drehfluchtprinzip (Vorau, 1997), pages 76-85. Tech. Univ. Graz, Graz, 1999. [Zbl], [MR], [pdf]. 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. F. Manhart. Zur affinen Krümmungstheorie euklidischer Minimalflächen. In 107 Jahre Drehfluchtprinzip (Vorau, 1997), pages 121-130. Tech. Univ. Graz, Graz, 1999. [MR]. 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. H. Pottmann and J. Wallner. Approximation algorithms for developable surfaces. Comput. Aided Geom. Design 16 (1999), 539-556. [Zbl], [MR]. W. Rath. Dreibildersysteme und der trilineare Tensor (abstract). In O. Röschel et al., editors, Geometrie-Tagung ``107 Jahre Drehfluchtprinzip'', pages 161-162. TU Graz, 1999. held in Vorau, Österreich, June 1--6, 1997. [Zbl]. H. Stachel. Bricardsche Oktaeder im hyperbolischen Raum (abstract). In O. Röschel et al., editors, Geometrie-Tagung ``107 Jahre Drehfluchtprinzip'', pages 177-178. TU Graz, 1999. held in Vorau, Österreich, June 1--6, 1997. [Zbl]. H. Stachel. Infinitesimal flexibility of higher order for a planar parallel manipulator. In G. Karáné, H. Sachs, and F. Schipp, editors, Topics in Algebra, Analysis and Geometry, pages 343-353. BPR Kiadó, 1999, ISBN 963-03-8502-3. Proceedings of the Gyula Strommer national memorial conference, Balatonfüred, Hungary, May 1--5, 1999. [Zbl]. H. Stachel. Higher-order flexibility for a bipartite planar framework. In A. Kecskeméthy, M. Schneider, and C. Woernle, editors, Advances in Multibody Systems and Mechatronics, pages 345-357. Inst. f. Mechanik und Getriebelehre, TU Graz, Duisburg, 1999, ISBN 3-9501108-0-1. H. Stachel. Stanko Bilinski. Almanach 1998/99 der Österr. Akad. Wiss. 149 (1999), 421-429. H. Stachel. Walter Wunderlich. Almanach 1998/99 der Österr. Akad. Wiss. 149 (1999), 413-419. H. Stachel. On the tetrahedra in the dodecahedron. KoG 4 (1999), 5-10. [Zbl], [MR]. H. Stachel. Higher order flexibility of octahedra. Period. Math. Hungar. 39 (1999), 225-240, Discrete geometry and rigidity (Budapest, 1999). [Zbl], [MR]. 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. J. Wallner. On the semiaxes of touching quadrics. Results Math. 36 (1999), 373-383. [Zbl], [MR]. 1998 H. Havlicek. The Veronese surface in pg(5,3) and Witt's 5-(12,6,1) design. J. Combin. Theory Ser. A 84 (1998), 87-94. [Zbl], [MR], [pdf]. H. Stachel. A remarkable overconstrained spherical motion. In J. Lenarčič and M. Husty, editors, Advances in robot kinematics: analysis and control (Salzburg, 1998), pages 287-296. Kluwer Acad. Publ., Dordrecht, 1998, ISBN 0-7923-5169-X. [Zbl], [MR]. H. Stachel. New applications of geometry. In Proceedings of the 8th International Conference on Engineering Design Graphics and Descriptive Geometry, volume 1, pages 2-5, Tokyo, 1998. Int. Soc. Geometry and Graphics (ISGG). held July 31--August 3, 1998 in Austin (Texas). H. Stachel. New applications of geometry. J. Geom. Graphics 2 (1998), 151-159. [MR]. H. Stachel. Bemerkungen über das Oloid. In Vortragsauszüge 23. Kolloquium über Differentialgeometrie, pages 73-74, Dresden, 1998. J. Wallner, H.-Y. Chen, and H. Pottmann. Galilei Laguerre geometry and rational circular offsets. Beitr. Algebra Geom. 39 (1998), 291-305. [Zbl], [MR]. 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]. 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]. 1997 H. Dirnböck and H. Stachel. The development of the oloid. J. Geom. Graphics 1 (1997), 105-118. [Zbl], [MR]. A. Elsonbaty and H. Stachel. Generating solids by sweeping polyhedra. J. Geom. Graphics 1 (1997), 13-21. [Zbl], [MR]. G. Glaeser and H. Stachel. Open geometry - a graphics programming library based on open gl. In Proceedings of the 3rd International Conference on Applied Informatics, volume 1, pages 119-122, 1997. held in Eger-Noszvaj (Hungary), August 24-28, 1997. H. Havlicek. Affine circle geometry over quaternion skew fields. Discrete Math. 174 (1997), 153-165, Combinatorics (Rome and Montesilvano, 1994). [Zbl], [MR], [pdf]. H. Havlicek. A characteristic property of elliptic Plücker transformations. J. Geom. 58 (1997), 106-116. [Zbl], [MR], [pdf]. H. Havlicek. Isomorphisms of affine Plücker spaces. In Proceedings of the 4th International Congress of Geometry (Thessaloniki, 1996), pages 171-178. Giachoudis-Giapoulis, Thessaloniki, 1997. [Zbl], [MR], [pdf]. H. Havlicek and C. Zanella. Quadratic embeddings. Beitr. Algebra Geom. 38 (1997), 289-298. [Zbl], [MR], [pdf]. H. Stachel. A family of multiply decomposable Euclidean motions. In I. Bárány and K. Böröcky, editors, Intuitive geometry (Budapest, 1995), volume 6 of Bolyai Soc. Math. Stud., pages 413-427. János Bolyai Math. Soc., Budapest, 1997, ISBN 963-8022-89-2. Proceedings of the 5th conference, Budapest 1995. [Zbl], [MR]. H. Stachel. Euclidean line geometry and kinematics in the 3-space. In N. K. S. N. K. Artémiadis, editor, Proceedings of the 4th International Congress of Geometry (Thessaloniki, 1996), pages 380-391. Giachoudis-Giapoulis, Thessaloniki, 1997, ISBN 960-7425-11-1. held May 26 -- June 1, 1996. [Zbl], [MR]. H. Stachel. Coordinates - a survey on higher geometry. Computer Networks and ISDN Systems 29 (1997), 1645-1654. 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]. J. Wallner and H. Pottmann. Rational blending surfaces between quadrics. Comput. Aided Geom. Design 14 (1997), 407-419. [MR]. 1996 A. Elsonbaty and H. Stachel. Generating solids by sweeping polyhedra. In A. Wyzykowski et al., editors, Proceedings of the 7th international conference on Engineering computer graphics and descriptive geometry, volume 1, pages 245-249, Cracow, 1996. Fotobit, ISBN 83-904805-5-7. held in Cracow, July 18--22, 1996. [Zbl]. D. Haase and H. Stachel. Almost-orthonormal vector systems. Beitr. Algebra Geom. 37 (1996), 367-381. [Zbl], [MR]. H. Havlicek and K. Svozil. Density conditions for quantum propositions. J. Math. Phys. 37 (1996), 5337-5341. [Zbl], [MR], [pdf]. H. Havlicek. On the matrices of central linear mappings. Math. Bohem. 121 (1996), 151-156. [Zbl], [MR], [pdf]. F. Manhart. Zur affinen Krümmungstheorie der Minimalflächen von G. Thomsen. In Proceedings of the 4th International Congress of Geometry (Thessaloniki, 1996), pages 271-280. Giachoudis-Giapoulis, Thessaloniki, 1997. [MR]. W. Rath. A CAD system for non-Euclidean geometry. In A. Wyzykowski et al., editors, Proceedings of the 7th international conference on Engineering computer graphics and descriptive geometry, volume 1, pages 430-432, Cracow, 1996. Fotobit, ISBN 83-904805-5-7. held in Cracow, July 18--22, 1996. [Zbl]. W. Rath. A software package for non-Euclidean geometry. In SCG'96, Proceedings of Seminars on Computational Geometry, 1996. held in Kočovce/Slovakia, September 4-6, 1996. H. Stachel. Flexing models of quadrics. In SCG'96, volume 5 of Proceedings of Seminars on Computational Geometry, pages 103-113, 1996. held in Kočovce/Slovakia, September 4-6, 1996. H. Stachel. Coordinates - a survey on higher geometry. In Proceedings of Compugraphics `96, pages 25-34, 1996. held in Bonneuil-sur-Marne, Paris, December 16-18, 1996. 1995 H. Havlicek. On isomorphisms of Grassmann spaces. Mitt. Math. Ges. Hamburg 14 (1995), 117-120. [Zbl], [MR], [pdf]. H. Havlicek. Invariant points of circular transformations. Rad Hrvatske Akad. Znan. Umjet. 470 (1995), 113-118. [MR]. H. Havlicek. On Plücker transformations of generalized elliptic spaces. Rend. Mat. Appl. (7) 15/1 (1995), 39-56. [Zbl], [MR]. H. Havlicek. Symplectic Plücker transformations. Math. Pannon. 6 (1995), 145-153, Festschrift for Hans Vogler on the occasion of his 60th birthday. [Zbl], [MR]. H. Havlicek. Spheres of quadratic field extensions. Abh. Math. Sem. Univ. Hamburg 64 (1994), 279-292. [Zbl], [MR]. W. Rath. A kinematic mapping for projective and affine motions and some applications. In F. Dillen, B. Komrakov, U. Simon, I. V. de Woestijne, and L. Verstraelen, editors, Geometry and topology of submanifolds, VIII (Brussels, 1995/Nordfjordeid, 1995), pages 292-301. World Sci. Publishing, River Edge, NJ, 1996. [Zbl], [MR]. H. Stachel. Unendlich viele Kugeln durch vier Tangenten. Math. Pannon. 6 (1995), 55-66, Festschrift for Hans Vogler on the occasion of his 60th birthday. [Zbl], [MR]. H. Stachel. Computer animation, a tool for the design of mechanisms. In B. Kovács and Z. Kovács, editors, International Conference on Applied Informatics, pages 127-139, 1995. held in Eger, Hungary, August 23--25, 1995. H. Stachel. Zur Kennzeichnung der Zentralprojektionen nach H. Havlicek. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 204 (1995), 33-46 (1996). [Zbl], [MR]. J. Wallner. Approximation in Lieschen Transformationsgruppen durch Überlagerung von einparametrigen Untergruppen. Math. Pannon. 6 (1995), 163-173. [Zbl], [MR]. 1994 H. Havlicek. Der Entwurf von Winkel oder: Wieviel Geometrie steckt in einer Schulwandkarte? Inf. Bl. Darst. Geom. 13/1 (1994), 8-15. H. Havlicek. A generalization of Brauner's theorem on linear mappings. Mitt. Math. Sem. Giessen 215 (1994), 27-41. [Zbl], [MR]. H. Havlicek. Spreads of right quadratic skew field extensions. Geom. Dedicata 49 (1994), 239-251. [Zbl], [MR]. H. Stachel. On the identity of polyhedra. Amer. Math. Monthly 101/2 (1994), 162-165. [Zbl], [MR]. H. Stachel. Degenerate intersection in solid modeling. In K. Suzuki and K. Yoshida, editors, Proceedings of the 6th International Conference on Engineering Computer Graphics and Descriptive Geometry, volume 1, pages 191-195, 1994. held in Tokyo, August 19-23, 1994. H. Stachel. Descriptive geometry, the art of grasping spatial relations. In K. Suzuki and K. Yoshida, editors, Proceedings of the 6th International Conference on Engineering Computer Graphics and Descriptive Geometry, volume 2, pages 533-535, 1994. held in Tokyo, August 19-23, 1994. H. Stachel. Euklidische Kurven- und Flächentheorie. In O. Giering and J. Hoschek, editors, Geometrie und ihre Anwendungen, pages 43-70. Hanser, Munich, 1994. [Zbl], [MR]. H. Stachel. The HEUREKA-polyhedron. In K. Böröcky and G. Fejes Tóth, editors, Intuitive geometry (Szeged, 1991), volume 63 of Colloq. Math. Soc. János Bolyai, pages 447-459. North-Holland, Amsterdam, 1994, ISBN 0-444-81906-1. Proceedings of the 3rd international conference held in Szeged, Hungary, Sept. 2--7 1991. [Zbl], [MR]. J. Szabó, H. Stachel, and H. Vogel. Ein Satz über die Zentralaxonometrie. Österreich. Akad. Wiss. Math.-Naturw. Kl. S.-B. II 203 (1994), 3-11. [Zbl], [MR]. Technical Reports H. Stachel. W. Wunderlichs Beiträge zur Wackeligkeit. Technical Report 22, Institute of Geometry, 1995. H. Stachel. Why shall we also teach the theory behind Engineering Graphics. Technical Report 35, Institute of Geometry, 1996. H. Stachel. Walter Wunderlich (1910 - 1998). Technical Report 65, Institute of Geometry, 1999. J. Wallner and H. Pottmann. Variational interpolation. Technical Report 84, Institut für Geometrie, TU Wien, 2001. J. Wallner. L2 approximation by Euclidean motions. Technical Report 93, Institute of Geometry, May 2002. W. Jank. Entwicklung der Institute bzw. des instituts für Geometrie an der TH bzw. TU Wien seit 1965. Technical Report 98, Institut für Geometrie, Februar 2003. Q.-M. Yang and G.-Z. Wang. Inflection points and singularities on C-curves. Technical Report 110, Institute of Geometry, October 2003. Manuals M. Pfeifer, W. Rath, and H. Stachel. Handbuch zu CAD-3D für Windows, Basisversion 1.04. Institut für Geometrie, TU Wien, 2002. ISBN 3-902233-01-X. M. Pfeifer, W. Rath, and H. Stachel. Handbuch zu CAD-3D für Windows, erw. Version 1.10. Institut für Geometrie, TU Wien, 2002. ISBN 3-902233-02-8. Lecture Notes H. Havlicek. Lineare Algebra und Analytische Geometrie I. Lecture notes, TU Wien, 1995. 210 pages. H. Havlicek. Lineare Algebra und Analytische Geometrie II. Lecture notes, TU Wien, 1996. 210 pages. J. Wallner. Konstruktive Geometrie. Lecture Notes, TU Darmstadt, 2001. H. Havlicek. Lineare Algebra I. Lecture notes, TU Wien, 2002. 180 pages. J. Wallner. Differentialgeometrie. Lecture Notes, TU Wien, 2003. J. Wallner. Geometrie für den Mathematikunterricht. Lecture Notes, TU Wien, 2003. H. Havlicek. Lineare Algebra II. Lecture notes, TU Wien, 2003. 181 pages. Editorial Work H. Stachel (Editor in Chief). Journal of geometry and graphics. Volume 1 (1997)-. 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].