M. Peternell: Publications

1. M. Peternell and H. Pottmann. Computing rational parametrizations of canal surfaces. J. Symbolic Comput. 23 (1997), 255-266.
2. M. Peternell and H. Pottmann. Designing rational surfaces with rational offsets. In F. Fontanella, K. Jetter, and P. J. Laurent, editors, Advanced Topics in Multivariate Approximation, pages 275-286. World Scientific, 1996.
3. H. Pottmann and M. Peternell. Applications of Laguerre geometry in CAGD. Comput. Aided Geom. Design 15 (1998), 165-186. [MR].
4. M. Peternell and H. Pottmann. A Laguerre geometric approach to rational offsets. Comput. Aided Geom. Design 15 (1998), 223-249.
5. H. Pottmann, M. Peternell, and B. Ravani. Approximation in line space: applications in robot kinematics and surface reconstruction. In J. Lenarčič and M. Husty, editors, Advances in Robot Kinematics: Analysis and Control, pages 403-412. Kluwer, 1998.
6. H. Pottmann, M. Peternell, and B. Ravani. Contributions to computational line geometry. In D. P. Chi, H. I. Choi, M.-S. Kim, and R. Martin, editors, Differential/Topological Techniques in Geometric Modeling and Processing '98, pages 43-81. Bookplus Press, 1998, ISBN 89-86518-10-0. Proceedings of the Workshop in Pohang, Korea, April 7-8,1998.
7. M. Peternell. Rational families of conics and quadrics. In R. Cripps, editor, The Mathematics of Surfaces VIII, pages 369-382. Information Geometers, Wellesley MA, 1998.
8. H. Pottmann, M. Peternell, and B. Ravani. An introduction to line geometry with applications. Computer-Aided Design 31 (1999), 3-16.
9. M. Peternell, H. Pottmann, and B. Ravani. On the computational geometry of ruled surfaces. Computer-Aided Design 31 (1999), 17-32.
10. M. Peternell. Geometric properties of bisector surfaces. Graphical Models 62 (2000), 202-236.
11. M. Peternell and H. Pottmann. Interpolating functions on lines in 3-space. In A. Cohen, C. Rabut, and L. L. Schumaker, editors, Curve and Surface Fitting: Saint Malo 1999, pages 351-358. Vanderbilt University Press, Nashville, TN, 2000.
12. H. Pottmann and M. Peternell. Envelopes - computational theory and applications. In B. Falcidieno, editor, Spring Conference on Computer Graphics 2000, pages 3-23. Comenius University, Bratislava, 2000, ISBN 80-223-1486-2. Proceedings of the conference in Budmerice, May 3-6, 2000.
13. H. Pottmann and M. Peternell. On approximation in spaces of geometric objects. In R. Cipolla and R. Martin, editors, The Mathematics of Surfaces IX, pages 438-458. Springer, 2000, ISBN 1852333588.
14. 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.
15. M. Peternell. G¹-Hermite interpolation of ruled surfaces. In T. Lyche and L. L. Schumaker, editors, Mathematical Methods in CAGD: Oslo 2000, Innov. Appl. Math, pages 413-422. Vanderbilt Univ. Press, Nashville, TN, 2001.
16. M. Peternell and H. Pottmann. Approximation in the space of planes: applications to geometric modeling and reverse engineering. RACSAM Rev. R. Acad. Cienc. Exactas F'i s. Nat. Ser. A Mat. 96/2 (2002), 243-256. [MR].
17. 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.
18. M. Peternell and F. Manhart. The convolution of a paraboloid and a parametrized surface. J. Geom. Graphics 7 (2003), 157-171.
19. M. Peternell and T. Steiner. Reconstruction of piecewise planar objects from point clouds. Computer-Aided Design 36 (2004), 333-342.
20. M. Peternell. Recognition and reconstruction of developable surfaces from point clouds. In 2004 Geometric Modeling and Processing, Theory and Applications, pages 301-310. IEEE Computer Society, 2004, ISBN 0-7695-2078-2. Proceedings of the GMP conference in Beijing, April 13-15, 2004.
21. M. Peternell. Developable surface fitting to point clouds. Comput. Aided Geom. Design 21/8 (2004), 785-803.
22. M. Peternell, H. Pottmann, T. Steiner, and H. Zhao. Swept volumes. Computer-Aided Design Appl. 2 (2005), 599-608.
23. M. Peternell and T. Steiner. A geometric idea to solve the eikonal equation. In B. Jüttler, editor, SCCG '05: Proceedings of the 21st spring conference on Computer graphics, pages 43-48. ACM Press, 2005, ISBN 1-59593-203-6.
24. 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.
25. M. Peternell. Sphere-geometric aspects of bisector surfaces. In Algebraic Geometry and Geometric Modeling, pages 107-112, 2006. Proceedings of the conference in Barcelona, September 4-7.
26. M. Peternell and T. Steiner. Minkowski sum boundary surfaces of 3D-objects. Graphical Models 69 (2007), 180-190.
    
    Technical Reports
    
    
27. M. Peternell, H. Pottmann, and T. Steiner. Hough transform and Laguerre geometry for the recognition and reconstruction of special 3D shapes. Technical Report 100, Institute of Geometry, April 2003.
28. M. Peternell. Recognition and reconstruction of developable surfaces from point clouds. Technical Report 105, Institute of Geometry, September 2003.
29. M. Peternell and T. Steiner. On the construction of surfaces of constant slope passing through a given curve. Technical Report 126, Geometry Preprint Series, Vienna Univ. of Technology, October 2004.
30. M. Peternell and B. Odehnal. Convolution surfaces of quadratic triangular Bézier surfaces. Geometry Preprint 169, Vienna University of Technology, October 2006.
    
    Miscellaneous Publications
    
    
31. M. Peternell and H. Pottmann. Geometric approximation. Part of a 1-day Course entitled 'Applications of Classical Geometry in Computer-Aided Design', held at the 6th SIAM conference on Geometric Design, Albuquerque, NM, Organizer: H. Pottmann, 1999.
32. M. Peternell. Sphere geometry with applications. Part of a 1-day Course entitled 'Applications of Classical Geometry in Computer-Aided Design', held at the 6th SIAM conference on Geometric Design, Albuquerque, NM, Organizer: H. Pottmann, 1999.
33. M. Peternell and H. Pottmann. Classical geometry for symbolic geometric computing. Tutorial at the ISSAC 2003, Philadelphia, Organizer: J. Schicho, 2003.
    
    Theses
    
    
34. M. Peternell. Rational parametrizations for envelopes of quadric families. PhD thesis, Vienna University of Technology, 1997. Advisor: H. Pottmann.