Wissenschaftliche Artikel

Sendra, J. R., Peternell, M., & Sendra, J. (2018). Cissoid constructions of augmented rational ruled surfaces. Computer Aided Geometric Design, 60, 1–9. https://doi.org/10.1016/j.cagd.2017.12.001 ( reposiTUm)
Peternell, M., Gotthart, L., Sendra, J., & Sendra, J. R. (2015). Offsets, conchoids and pedal surfaces. Journal of Geometry, 106(2), 321–339. https://doi.org/10.1007/s00022-014-0251-1 ( reposiTUm)
Gruber, D., & Peternell, M. (2013). Conchoid surfaces of quadrics. Journal of Symbolic Computation, 59, 36–53. https://doi.org/10.1016/j.jsc.2013.07.003 ( reposiTUm)
Peternell, M., Gruber, D., & Sendra, J. (2013). Conchoid surfaces of spheres. Computer Aided Geometric Design, 30(1), 35–44. https://doi.org/10.1016/j.cagd.2012.06.005 ( reposiTUm)
Peternell, M. (2012). Generalized Dupin Cyclides with Rational Lines of Curvature. Curves and Surfaces, 543–552. https://doi.org/10.1007/978-3-642-27413-8_35 ( reposiTUm)
Peternell, M., Gruber, D., & Sendra, J. (2011). Concoid surfaces of rational ruled surfaces. Computer Aided Geometric Design, 28, 427–435. http://hdl.handle.net/20.500.12708/162463 ( reposiTUm)
Peternell, M. (2010). Rational Two-Parameter Families of Spheres and Rational Offset Surfaces. Journal of Symbolic Computation, 45, 1–18. http://hdl.handle.net/20.500.12708/167925 ( reposiTUm)
Peternell, M., Odehnal, B., & Sampoli, M. L. (2008). On quadratic two-parameter families of spheres and their envelopes. Computer Aided Geometric Design, 25, 342–355. http://hdl.handle.net/20.500.12708/170501 ( reposiTUm)
Peternell, M., & Odehnal, B. (2008). Convolution surfaces of Quadratic Triangular Bezier Surfaces. Computer Aided Geometric Design, 25, 116–129. http://hdl.handle.net/20.500.12708/170500 ( reposiTUm)
Peternell, M., & Steiner, T. (2007). Minkowski sum boundary surfaces of 3D-objects. Graphical Models, 69, 180–190. http://hdl.handle.net/20.500.12708/168809 ( reposiTUm)
Peternell, M., & Odehnal, B. (2007). Convolution surfaces of quadratic triangular Bezier surfaces. Computer Aided Geometric Design, 25(2), 116–129. https://doi.org/10.1016/j.cagd.2007.05.003 ( reposiTUm)
Sampoli, M. L., Peternell, M., & Jüttler, B. (2006). Exact Parameterization of convolution surfaces and rational surfaces with linear normals. Computer Aided Geometric Design, 23, 179. http://hdl.handle.net/20.500.12708/172065 ( reposiTUm)
Peternell, M., Pottmann, H., Steiner, T., & Zhao, H. (2005). Swept Volumes. Computer-Aided Design Appl., 2(5), 599–608. http://hdl.handle.net/20.500.12708/171942 ( reposiTUm)
Peternell, M., & Steiner, T. (2004). Reconstruction of piecewise planar objects from point clouds. Computer-Aided Design, 36, 333–342. http://hdl.handle.net/20.500.12708/174528 ( reposiTUm)
Peternell, M. (2004). Developable surface fitting to point clouds. Computer Aided Geometric Design, 21(8), 785–803. http://hdl.handle.net/20.500.12708/174530 ( reposiTUm)
Manhart, F., & Peternell, M. (2003). The Convolution of a Paraboloid and a Parametrized Surface. Journal for Geometry and  Graphics, 7(2), 157–171. http://hdl.handle.net/20.500.12708/175283 ( reposiTUm)

Beiträge in Tagungsbänden

Peternell, M., & Blaschitz, B. (2010). Active surface fitting to unclassified data. In Special Recognition Award at Junior Scientist Conference 2010 (p. 1). http://hdl.handle.net/20.500.12708/41024 ( reposiTUm)
Krasauskas, R., & Peternell, M. (2009). Rational offset surfaces and their modeling applications. In IMA: Nonlinear Computational Geometry, Volume 151 (pp. 109–136). Springer Verlag. http://hdl.handle.net/20.500.12708/40864 ( reposiTUm)
Peternell, M., & Odehnal, B. (2008). On Generalized LN-Surfaces in 4-Space. In ISSAC 2008 (pp. 223–230). ACM. http://hdl.handle.net/20.500.12708/40811 ( reposiTUm)
Aurenhammer, F., Wallner, J., Peternell, M., & Pottmann, H. (2007). Voronoi Diagrams for Oriented Spheres. In C. Gold (Ed.), 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007). IEEE Computer Society. https://doi.org/10.1109/isvd.2007.45 ( reposiTUm)
Aichholzer, O., Aurenhammer, F., Hackl, T., Kornberger, B., Peternell, M., & Pottmann, H. (2007). Approximating Boundary-Triangulated Objects with Balls. In Proc. 23rd European Workshop (pp. 130–133). TU Graz. http://hdl.handle.net/20.500.12708/40728 ( reposiTUm)
Peternell, M. (2006). Sphere-geometric aspects of bisector surfaces. In Algebraic Geometry and Geometric Modeling (pp. 107–112). Univ. Barcelona. http://hdl.handle.net/20.500.12708/40636 ( reposiTUm)
Peternell, M., & Steiner, T. (2005). A geometric idea to solve the eikonal equation. In Spring Conference on Computer Graphics SCCG 2005 (pp. 43–48). ACM SIGGRAPH. http://hdl.handle.net/20.500.12708/40586 ( reposiTUm)

Präsentationen

Peternell, M. (2013). Relations between offsets and conchoid surfaces. Workshop: Algoritmos y Aplicaciones en Geometría Algebraica, Siguenza, Spain, EU. http://hdl.handle.net/20.500.12708/120634 ( reposiTUm)
Peternell, M. (2013). Relations between Offsets and Conchoids. Conference on Geometry: Theory and Applications, Ljubljana, Slovenia, EU. http://hdl.handle.net/20.500.12708/120635 ( reposiTUm)
Peternell, M. (2012). Rational conchoidal surface construction. Conference on “XIII Encuentro de Álgebra Computacional y Aplicaciones,” Alcala de Henares, Madrid, Spain, EU. http://hdl.handle.net/20.500.12708/120633 ( reposiTUm)
Peternell, M. (2012). Conchoidal surface constructions. Workshop “Algoritmos y Aplicaciones en Geometría Algebraica,” CIEM, Castro Urdiales, Spain, EU. http://hdl.handle.net/20.500.12708/120632 ( reposiTUm)
Peternell, M. (2011). Eine Verallgemeinerung der Viviani-Kurve. Lehrerfortbildungstagung, Strobl, Österreich, Austria. http://hdl.handle.net/20.500.12708/119837 ( reposiTUm)
Peternell, M. (2011). Concoid Surfaces of Spheres. Conference on Geometry, Vorau, Austria. http://hdl.handle.net/20.500.12708/119838 ( reposiTUm)
Peternell, M. (2011). Conchoid surfaces of rational ruled surfaces. International Workshop on Line Geometry & Kinematics, Paphos, Zypern, EU. http://hdl.handle.net/20.500.12708/119839 ( reposiTUm)
Peternell, M. (2009). Rational Two-Parameter Families of Spheres and Rational Offset Surfaces. Conference on Geometry, Vorau, Austria. http://hdl.handle.net/20.500.12708/119095 ( reposiTUm)
Peternell, M. (2009). On Generalized LN-Surfaces in 4-Space. Colloquium on Geometry and Graphics, Velika, Kroatien, EU. http://hdl.handle.net/20.500.12708/119096 ( reposiTUm)
Peternell, M. (2009). Unterteilungskurven und -flächen. Lehrerfortbildungstagung, Strobl, Österreich, Austria. http://hdl.handle.net/20.500.12708/119126 ( reposiTUm)
Peternell, M. (2006). Sphere-geometric aspects of bisector surfaces. Algebraic Geometry and Geometric Modeling, Barcelona, Spain, EU. http://hdl.handle.net/20.500.12708/117927 ( reposiTUm)
Peternell, M. (2006). Rational Offset Surfaces and Related Problems. Automated Deduction in Geometry, Pontevedra, Spain, EU. http://hdl.handle.net/20.500.12708/117926 ( reposiTUm)
Peternell, M. (2006). Boundary Surfaces of Moving Objects. Curves and Surfaces, Avignon, France, EU. http://hdl.handle.net/20.500.12708/117925 ( reposiTUm)
Peternell, M. (2006). Boundary Surfaces of Moving Objects. Industry Challenges in Geometric Modeling and CAD, Darmstadt, Germany. http://hdl.handle.net/20.500.12708/117924 ( reposiTUm)
Peternell, M. (2005). Envelopes of Moving Solids. SIAM Conference on Geometric Design and Computing, Seattle, USA, Austria. http://hdl.handle.net/20.500.12708/117746 ( reposiTUm)
Peternell, M. (2005). Envelopes of Moving Objects. Sächsischer Geometrietag 2005, Dresden, EU. http://hdl.handle.net/20.500.12708/117737 ( reposiTUm)
Peternell, M. (2005). Envelopes of Moving Objects. Industry Challenges in Geometric Modeling and CAD, Darmstadt, EU. http://hdl.handle.net/20.500.12708/117742 ( reposiTUm)
Peternell, M. (2005). The computation of the envelope of a moving object. Universita’ degli Studi di Siena, Italy, EU. http://hdl.handle.net/20.500.12708/117740 ( reposiTUm)
Peternell, M. (2005). Berechnung von Hüllflächen. TU Wien, Austria. http://hdl.handle.net/20.500.12708/117741 ( reposiTUm)
Peternell, M. (2005). Constrained Surface Approximation from a Geometric Optimization Perspective. SIAM Conference on Geometric Design and Computing, Seattle, USA, Austria. http://hdl.handle.net/20.500.12708/117745 ( reposiTUm)
Peternell, M. (2005). A geometric idea to solve the eikonal equation. Spring conference on computer graphics, Budmerice, Slovacia, EU. http://hdl.handle.net/20.500.12708/117744 ( reposiTUm)
Peternell, M. (2005). On the Computation of Swept Volumes. ACV Kolloquium, Wien, Austria. http://hdl.handle.net/20.500.12708/117743 ( reposiTUm)
Peternell, M. (2004). A dual approach to rational offset surfaces. Workshop “Real Algebraic Geometry -- Geometric Modeling,” MSRI in Berkeley, CA, USA, Austria. http://hdl.handle.net/20.500.12708/117356 ( reposiTUm)
Peternell, M. (2004). Recognition and Reconstruction of Special 3D Shapes. Geometrie-Tagung, Vorau, Austria. http://hdl.handle.net/20.500.12708/117357 ( reposiTUm)
Peternell, M. (2003). Computation of the Convolution of Surfaces from Special Classes. Workshop on Computational Methods for Algebraic Spline Surfaces, Kefermarkt, Austria. http://hdl.handle.net/20.500.12708/116609 ( reposiTUm)
Peternell, M. (2003). Reconstruction of Developable Surfaces form Point Clouds. Dresden Symposium Geometry, Dresden, Austria. http://hdl.handle.net/20.500.12708/116608 ( reposiTUm)
Hofer, M., Leopoldseder, S., & Peternell, M. (2003). Ich sehe mehr, als der Computer sieht ... Yo Einstein 2003, Technisches Museum, Wien, Austria. http://hdl.handle.net/20.500.12708/116623 ( reposiTUm)
Pottmann, H., & Peternell, M. (2003). Classical geometry for symbolic geometric computing. International Symposium on Symbolic and Algebraic Computation, Philadelphia, USA, Austria. http://hdl.handle.net/20.500.12708/116516 ( reposiTUm)
Peternell, M. (2002). Rational Parametrizations of the Minkowski Sum of two Quadrics in 3-Space. Automated Duduction in Geometry, Hagenberg bei Linz, Austria. http://hdl.handle.net/20.500.12708/116137 ( reposiTUm)
Peternell, M. (2002). Reconstructing Objects with Planar Faces. Fifth Intl. Coference on Curves and Surfaces, Saint Malo, France, Austria. http://hdl.handle.net/20.500.12708/116136 ( reposiTUm)

Berichte

Peternell, M., & Odehnal, B. (2008). On a remarkable class of rational surfaces in 4-space generalizing surfaces with linear normal vector fields (No. 185). http://hdl.handle.net/20.500.12708/35260 ( reposiTUm)
Aichholzer, O., Aurenhammer, F., Hackl, T., Kornberger, B., Peternell, M., & Pottmann, H. (2007). Approximating Boundary-Triangulated Objects with Balls. http://hdl.handle.net/20.500.12708/31783 ( reposiTUm)
Aurenhammer, F., Wallner, J., Peternell, M., & Pottmann, H. (2007). Voronoi Diagrams for Oriented Spheres. http://hdl.handle.net/20.500.12708/31784 ( reposiTUm)
Peternell, M., Odehnal, B., & Sampoli, M. L. (2007). Rational Parameterizations of the Cyclographic Images of Quadratic Triangular Bézier Surfaces. http://hdl.handle.net/20.500.12708/31789 ( reposiTUm)
Peternell, M., & Odehnal, B. (2006). Convolution surfaces of Quadratic Triangular Bezier Surfaces. http://hdl.handle.net/20.500.12708/31746 ( reposiTUm)
Sampoli, M. L., Peternell, M., & Jüttler, B. (2005). Exact Parameterization of Convolution Surfaces and Rational Surfaces with Linear Normals. http://hdl.handle.net/20.500.12708/31728 ( reposiTUm)
Peternell, M., Pottmann, H., & Steiner, T. (2005). Minkowski sum boundary surfaces of 3D-Objects. http://hdl.handle.net/20.500.12708/31722 ( reposiTUm)
Peternell, M., Pottmann, H., Steiner, T., & Zhao, H. (2004). Swept Volumes. http://hdl.handle.net/20.500.12708/31669 ( reposiTUm)
Peternell, M., & Steiner, T. (2004). On the construction of surfaces of constant slope passing through a given curve. http://hdl.handle.net/20.500.12708/31665 ( reposiTUm)
Peternell, M. (2003). Recognition and Reconstruction of Developable Surfaces from Point Clouds. http://hdl.handle.net/20.500.12708/31625 ( reposiTUm)
Peternell, M., & Manhart, F. (2003). The Convolution of a Paraboloid and a Parametrized Surface. http://hdl.handle.net/20.500.12708/31626 ( reposiTUm)
Peternell, M., Pottmann, H., & Steiner, T. (2003). Hough Transform and Laguerre Geometry for the Recognition and Reconstruction of special 3D shapes. http://hdl.handle.net/20.500.12708/31628 ( reposiTUm)

Hochschulschriften

Peternell, M. (2001). Geometric properties of bisector surfaces [Professorial Dissertation, Technische Universität Wien]. reposiTUm. http://hdl.handle.net/20.500.12708/186023 ( reposiTUm)