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Publications – Hans-Peter Schröcker

Journal ArticlesBookChapters or pages in books (reviewed)Conference Proceedings (reviewed)Conference Proceedings (not reviewed)Editorial WorkDidactic ArticlesThesesTechnical ReportsIn ReviewMiscellaneous


Journal Articles

[1] Z. Li, J. Schicho, and H.-P. Schröcker. Kempe's universality theorem for rational space curves. Found. Comput. Math., 2017. [ DOI | preprint ]
[2] H.-P. Schröcker. Singular Frégier conics in non-Euclidean geometry. Accepted for publication in J. Geometry Graphics, 2017.
[3] Z. Li, J. Schicho, and H.-P. Schröcker. The rational motion of minimal dual quaternion degree with prescribed trajectory. Comput. Aided Geom. Design, 41:1-9, 2016. [ DOI | MR | preprint ]
[4] Z. Li, J. Schicho, and H.-P. Schröcker. A survey on the theory of bonds. Accepted for publication in IMA J. Math. Control Inform., 2016. [ DOI ]
[5] G. Hegedüs, J. Schicho, and H.-P. Schröcker. Four-pose synthesis of angle-symmetric 6R linkages. ASME J. Mech. Robot., 7(4), 2015. [ DOI | preprint ]
[6] G. Hegedüs, Z. Li, J. Schicho, and H.-P. Schröcker. The theory of bonds II: Closed 6R linkages with maximal genus. J. Symbolic Comput., 68(2):167-180, 2015. [ DOI | MR | ZBL | preprint ]
[7] Z. Li, J. Schicho, and H.-P. Schröcker. Spatial straight-line linkages by factorization of motion polynomials. ASME J. Mech. Robot., 8(2), 2015. [ DOI | preprint ]
[8] H.-P. Schröcker and M. J. Weber. Guaranteed collision detection with toleranced motions. Comput. Aided Geom. Design, 31(7-8):602-612, 2014. [ DOI | MR | preprint ]
[9] J. Schadlbauer and H.-P. Schröcker. Orthogonality relations for tetrahedra in elliptic and hyperbolic spaces. J. Geom. Graphics, 18(1):97-104, 2014. [ MR | ZBL | www ]
[10] M. J. Weber and H.-P. Schröcker. Minimal area ellipses in the hyperbolic plane. Beitr. Algebra Geom., 54(1):181-200, 2013. [ DOI | MR | ZBL | preprint ]
[11] G. Hegedüs, J. Schicho, and H.-P. Schröcker. Factorization of rational curves in the Study quadric and revolute linkages. Mech. Mach. Theory, 69(1):142-152, 2013. [ DOI | preprint | www ]
[12] G. Hegedüs, J. Schicho, and H.-P. Schröcker. The theory of bonds: A new method for the analysis of linkages. Mech. Mach. Theory, 70:407-424, 2013. [ DOI | preprint | www ]
[13] M. J. Weber and H.-P. Schröcker. Minimal area conics in the elliptic plane. Advances in Geom., 14(4):665-684, 2012. [ DOI | MR | ZBL | preprint ]
[14] H.-P. Schröcker. Discrete Laplace cycles of period four. Central European J. Mathematics, 10(2):426-439, 2012. [ DOI | MR | ZBL | preprint ]
[15] M. J. Weber and H.-P. Schröcker. Davis' convexity theorem and extremal ellipsoids. Beitr. Algebra Geom., 51(1):263-274, 2010. [ MR | ZBL | preprint | www ]
[16] H.-P. Schröcker. Discrete gliding along principal curves. J. Geom. Graphics, 14(2):171-180, 2010. [ MR | ZBL | www ]
[17] H.-P. Schröcker. Orthologic tetrahedra with intersecting edges. KoG, 13:13-18, 2009. [ MR | ZBL | preprint | www ]
[18] H.-P. Schröcker. Uniqueness results for minimal enclosing ellipsoids. Comput. Aided Geom. Design, 25(9):756-762, 2008. [ DOI | MR | ZBL | PDF ]
[19] H.-P. Schröcker. Double tangent circles and focal properties of sphero-conics. J. Geom. Graphics, 12(2):161-169, 2008. [ MR | ZBL | www ]
[20] M. Husty, M. Pfurner, and H.-P. Schröcker. A new and efficient algorithm for the inverse kinematics of a general serial 6R manipulator. Mech. Mach. Theory, 42(1):66-81, 2007. [ DOI | MR | ZBL ]
[21] M. Husty, M. Pfurner, H.-P. Schröcker, and K. Brunnthaler. Algebraic methods in mechanism analysis and synthesis. Robotica, 25(6):661-675, 2007. [ DOI ]
[22] Ch. Niederegger, C. Bruschek, M. Koppi, H.-P. Schröcker, and D. Wagner. Verbesserung von Frisch- und Festbetoneigenschaften durch Mischung der Haufwerksporosität von Bindemitteln mittels Approximation der Fuller-Kurve durch Mischen von Kornfraktionen. Beton, 5:220-222, 2007.
[23] H.-P. Schröcker, M. Husty, and J. M. McCarthy. Kinematic mapping based assembly mode evaluation of planar four-bar mechanisms. ASME J. Mech. Design, 129(9):924-929, 2007. [ DOI | PDF ]
[24] H.-P. Schröcker. Minimal enclosing hyperbolas of line sets. Beitr. Algebra Geom., 48(2):367-381, 2007. [ MR | ZBL | www | PDF ]
[25] H.-P. Schröcker and J. Wallner. Geometric constructions with discretized random variables. Reliab. Comput./Nadezhn. Vychisl., 12(3):206-223, 2006. [ DOI | MR | ZBL | PDF ]
[26] H.-P. Schröcker and J. Wallner. Curvatures and tolerances in the Euclidean motion group. Results Math., 47:132-146, 2005. [ DOI | MR | ZBL | PDF ]
[27] H.-P. Schröcker. The geometry of rational parameterized representations. J. Geom., 82:171-187, 2005. [ DOI | MR | ZBL | PDF ]
[28] H.-P. Schröcker. Conic sections in space defined by intersection conditions. Beitr. Algebra Geom., 46(2):301-309, 2005. [ MR | ZBL | www | PDF ]
[29] H.-P. Schröcker. The intersection conics of six straight lines. Beitr. Algebra Geom., 46(2):435-446, 2005. [ MR | ZBL | www | PDF ]
[30] E. Tsutsumi, H.-P. Schröcker, H. Stachel, and G. Weiß. Evaluation of student's spatial abilities in Austria and Germany. J. Geom. Graphics, 9(1):107-117, 2005. [ ZBL | www ]
[31] J. Wallner, H.-P. Schröcker, and Shi-Min Hu. Tolerances in geometric constraint problems. Reliab. Comput./Nadezhn. Vychisl., 11(3):235-251, 2005. [ DOI | MR | ZBL | PDF ]
[32] H.-P. Schröcker. The manifold of planes that intersect four straight lines in points of a circle. J. Geom. Graphics, 8(1):59-68, 2004. [ MR | ZBL | www | PDF ]
[33] H.-P. Schröcker. Semi-Darboux motions of rational curves with equivalent trajectories. Abh. Math. Sem. Univ. Hamburg, 73:271-279, 2003. [ MR | ZBL | PDF ]
[34] H.-P. Schröcker. Generatrices of rational curves. J. Geom., 73:134-147, 2002. [ DOI | MR | ZBL | PDF ]
[35] H.-P. Schröcker. A family of conics and three special ruled surfaces. Beitr. Algebra Geom., 42(2):531-545, 2001. [ MR | ZBL | www | PDF ]
[36] G. Glaeser and H.-P. Schröcker. Reflections on refractions. J. Geom. Graphics, 4(1):1-18, 2000. [ MR | ZBL | www | PDF ]
[37] J. Lang and H.-P. Schröcker. Edge-orthogonal patches trough a given rational Bézier-curve. J. Geom. Graphics, 2(2):109-121, 1998. [ MR | ZBL | www | PDF ]

Book

[1] G. Glaeser and H.-P. Schröcker. Handbook of Geometric Programming Using Open Geometry GL. Springer, New York, 2002. [ ZBL | www ]

Chapters or pages in books (reviewed)

[1] G. Hegedüs, J. Schicho, and H.-P. Schröcker. Construction of overconstrained linkages by factorization of rational motions. In J. Lenarčič and M. Husty, editors, Latest Advances in Robot Kinematics, pages 213-220. Springer, 2012. [ DOI ]
[2] G. Hegedüs, J. Schicho, and H.-P. Schröcker. Bond theory and closed 5R linkages. In J. Lenarčič and M. Husty, editors, Latest Advances in Robot Kinematics, pages 221-228. Springer, 2012. [ DOI ]
[3] M. Husty and H.-P. Schröcker. Kinematics and algebraic geometry. In J. M. McCarthy, editor, 21st Century Kinematics. The 2012 NSF Workshop, pages 85-123. Springer, London, 2012.
[4] M. Husty and H.-P. Schröcker. A proposal for a new definition of the degree of freedom of a mechanism. In Andrés Kecskeméthy, Veljko Potkonjak, and Andreas Müller, editors, Interdisciplinary Applications of Kinematics, pages 109-117. Springer, 2011. [ DOI ]
[5] M. Husty and H.-P. Schröcker. Algebraic geometry and kinematics. In Ioannis Z. Emiris, Frank Sottile, and Thorsten Theobald, editors, Nonlinear Computational Geometry, volume 151 of The IMA Volumes in Mathematics and its Applications, chapter Algebraic Geometry and Kinematics, pages 85-107. Springer, 2010. [ DOI | MR | ZBL ]
[6] H.-P. Schröcker. Contributions to four-positions theory with relative rotations. In D. L. Pisla, M. Ceccarelli, M. Husty, and Corves. B. J., editors, New Trends in Mechanism Science. Analysis and Design, volume 5 of Mechanism and Machine Science, pages 21-28. Springer, 2010. [ DOI | preprint ]
[7] H.-P. Schröcker, B. Jüttler, and M. Aigner. Evolving four-bars for optimal synthesis. In Marco Ceccarelli, editor, Proceedings of EUCOMES 08, pages 109-116. Springer, 2009. [ DOI | ZBL ]
[8] H.-P. Schröcker and B. Jüttler. Motion interpolation with Bennett biarcs. In Andres Kecskeméthy and Andreas Müller, editors, Proceedings of Computational Kinematics (CK 2009), pages 101-108. Springer, 2009. [ DOI | www ]
[9] K. Brunnthaler, H.-P. Schröcker, and M. Husty. Synthesis of spherical four-bar mechanisms using spherical kinematic mapping. In J. Lenarčič and B. Roth, editors, Advances in Robot Kinematics, pages 377-384. Springer, 2006. [ DOI | ZBL ]

Conference Proceedings (reviewed)

[1] Tudor-Dan Rad and H.-P. Schröcker. Optimal synthesis of overconstrained 6R linkages by curve evolution. In Saïd Zeghloul, Lotfi Romdhane, and Med Amine Laribi, editors, Computational Kinematics. Springer, 2017. [ DOI | preprint ]
[2] M. Pfurner, H.-P. Schröcker, and M. Husty. Path planning in kinematic image space without the Study condition. In J. Lenarčič and Jean-Pierre Merlet, editors, Proceedings of Advances in Robot Kinematics, 2016. [ www ]
[3] Z. Li, Tudor-Dan Rad, J. Schicho, and H.-P. Schröcker. Factorization of rational motions: A survey with examples and applications. In Shuo-Hung Chang, editor, Proceedings of the 14th IFToMM World Congress, 2015. [ DOI | preprint | PDF ]
[4] Z. Li, J. Schicho, and H.-P. Schröcker. 7R Darboux linkages by factorization of motion polynomials. In Shuo-Hung Chang, editor, Proceedings of the 14th IFToMM World Congress, 2015. [ DOI | preprint | PDF ]
[5] Tudor-Dan Rad and H.-P. Schröcker. The kinematic image of 2R dyads and exact synthesis of 5R linkages. In Proceedings of the IMA Conference on Mathematics of Robotics , 2015. [ preprint ]
[6] M. Rabl, L. Gonzalez-Vega, B. Jüttler, and H.-P. Schröcker. Oriented bounding surfaces with at most six common normals. In A. Bicchi, editor, IEEE Conference on Robotics and Automation. Kobe, 5 2009. CD-Rom.
[7] H.-P. Schröcker and M. Husty. Kinematic mapping based assembly mode evaluation of spherical four-bar mechanisms. In Jean-Pierre Merlet and Marc Dahan, editors, Proceedings of IFToMM 2007, Besançon, France, 2007. [ PDF ]
[8] H.-P. Schröcker and K. Suzuki. A comparison of solution strategies to applied geometric design problems by descriptive geometry and 3D-CAD. In Proceedings of the 8th China-Japan Joint Conference on Graphics Education, pages 20-25, Suzhou, 2007. Beijing Institute of Technology Press.
[9] M. Husty, M. Pfurner, and H.-P. Schröcker. A new and efficient algorithm for the inverse kinematics of a general serial 6R. In Proceedings of ASME 2005 29th Mechanism and Robotics Conference, Long Beach, 2005.
[10] K. Brunnthaler, H.-P. Schröcker, and M. Husty. A new method for the synthesis of Bennett mechanisms. In Proceedings of CK 2005, International Workshop on Computational Kinematics, Cassino, 2005.
[11] H.-P. Schröcker, M. Husty, and J. M. McCarthy. Kinematic mapping based evaluation of assembly modes for planar four-bar synthesis. In Proceedings of ASME 2005 29th Mechanism and Robotics Conference, Long Beach, 2005.

Conference Proceedings (not reviewed)

[1] H.-P. Schröcker. From A to B: New methods to interpolate two poses. In Hirotaka Suzuki, Naomi Ando, and Yasushi Yamaguchi, editors, Proceedings of the 11th Asian Forum on Graphic Science, Tokyo, 2017. [ preprint ]
[2] H.-P. Schröcker. Singular Frégier conics in non-Euclidean geometry. In Proceedings of the 17th International Conference on Geometry and Graphics, Beijing, 2016. Re-published after additional reviewing in J. Geometry Graphics.
[3] M. Pfurner, J. Schadlbauer, and H.-P. Schröcker. A recyclable Möbius strip. In H.-P. Schröcker and M. Husty, editors, Proceedings of the 16th International Conference on Geometry and Graphics, pages 1024-1030. Innsbruck University Press, 2014.
[4] H.-P. Schröcker. The shapes of Walter Wunderlich. In Günther H. Filz, Rupert Maleczek, and Christian Scheiber, editors, FORM - RULE | RULE - FORM 2013, pages 109-117. innsbruck university press, 2014.
[5] G. Hegedüs, J. Schicho, and H.-P. Schröcker. A non-unique factorization theorem and its engineering applications. In Anita Cerić and Stjepan Lukušić, editors, Proceedings of Future Trends in Civil Engineering, pages 123-140. University of Zagreb, Faculty of Civil Engineering, 2014.
[6] H.-P. Schröcker. The axodes of rotation quadrilaterals. In Paul Zsombor-Murray, Aaron Sprecher, and Bruno Angeles, editors, Proceedings of the 15th International Conference on Geometry and Graphics, pages 675-681, Montréal, 2012.
[7] J. Schadlbauer and H.-P. Schröcker. Orthogonality relations for tetrahedra in elliptic and hyperbolic spaces. In Paul Zsombor-Murray, Aaron Sprecher, and Bruno Angeles, editors, Proceedings of the 15th International Conference on Geometry and Graphics, pages 668-674, Montréal, 2012. Re-published after additional reviewing in J. Geometry Graphics.
[8] H.-P. Schröcker. Discrete gliding along principal curves. In Naomi Ando, Takashi Kanai, Jun Mitani, Aya Saito, and Yasushi Yamaguchi, editors, Proceedings of the 14th International Conference on Geometry and Graphics, pages 37-46, Kyoto, 2010. Re-published after additional reviewing in J. Geometry Graphics. [ preprint ]
[9] H.-P. Schröcker. Double tangent circles and focal properties of sphero-conics. In Proceedings of the 13th International Conference on Geometry and Graphics (ICGG 2008), Dresden, Germany, 2008. Re-published after additional reviewing in J. Geometry Graphics. [ ZBL | PDF ]
[10] K. Suzuki and H.-P. Schröcker. Application of descriptive geometry procedures in solving spatial problems with feature and parametric modelling 3D-CAD. In Proceedings of the 13th International Conference on Geometry and Graphics (ICGG 2008), Dresden, Germany, 2008. [ ZBL ]
[11] Ch. Niederegger and H.-P. Schröcker. Eine Möglichkeit der Kornbandoptimierung im Feinteilbereich - neue Separationstechniken. In Jürgen Feix and Andreas Andreatta, editors, Innsbrucker Bautage 2008, Innsbruck - Massivbau und Brückenbau, pages 65-74. Innsbruck University Press, 2008.
[12] H.-P. Schröcker and K. Suzuki. A comparison of solution strategies to applied geometry problems between descriptive geometry and 3D-CAD. In Proceedings of the Annual Meeting of the Japan Society for Graphic Science, volume 40. Japan Society for Graphic Science, 12 2007. In Japanese.
[13] H.-P. Schröcker. Geometrisches Freihandzeichnen an der Universität für Angewandte Kunst in Wien. In Proceedings Dresden Symposium Geometrie, pages 289-296. TU Dresden, 2003. [ PDF ]
[14] H.-P. Schröcker. Das Erzeugnis dreier projektiv gekoppelter Kegelschnitte. In H. Stachel and J. Wallner, editors, Proceedings 25. Süddt. Differentialgeometrie-Kolloquium, pages 79-94. TU Wien, 2001. [ MR | ZBL | PDF ]

Editorial Work

[1] H.-P. Schröcker and M. Husty, editors. Proceedings of the 16th International Conference on Geometry and Graphics. Innsbruck University Press, 2014. [ www ]
[2] M. Husty and H.-P. Schröcker, editors. Proceedings of EuCoMeS, the First European Conference on Mechanism Science. Innsbruck University Press, 2006. [ www ]

Didactic Articles

[1] H.-P. Schröcker. Selbstkorrigierende Aufgaben am Tetreader. Inf. Bl. Geom., 30(2):27-29, 2011.
[2] H.-P. Schröcker and K. Suzuki. Ein Vergleich von Lösungsstrategien für eine anspruchsvolle Modellieraufgabe. Inf. Bl. Geom., 26(1):23-25, 2007.
[3] H.-P. Schröcker. Geometry and CAD education at the University of Innsbruck. J. Graphic Science Japan, 40(4):17-26, 2006.
[4] P. Taschwer and H.-P. Schröcker. Parametrische Erzeugung von Flächen in Rhinoceros am Beispiel von Schnecken und Muscheln. Inf. Bl. Geom., 24(2):39-42, 2005.
[5] H.-P. Schröcker and G. Glaeser. Geometrisches Freihandzeichnen - Anregungen, Gedanken, Beispiele. Inf. Bl. Geom., 23(1):16-20, 2004. [ www ]

Theses

[1] H.-P. Schröcker. Die von drei projektiv gekoppelten Kegelschnitten erzeugte Ebenenmenge. PhD thesis, Technische Universität Graz, 2000.
[2] H.-P. Schröcker. Die Konstruktion orthogonaler Fortsetzungen von Bézier-Kurven und -Flächen. Master's thesis, Technische Universität Graz, 1998.

Technical Reports

[1] M. Rabl, L. Gonzalez-Vega, B. Jüttler, and H.-P. Schröcker. Oriented bounding surfaces with at most six common normals. Technical Report 77, FSP Industrial Geometry, 2009. [ PDF ]
[2] H.-P. Schröcker, B. Jüttler, and M. Aigner. Evolving four-bars for optimal synthesis. Technical Report 67, FSP Industrial Geometry, 2008. [ www ]

In Review

[1] Tudor-Dan Rad, Daniel F. Scharler, and H.-P. Schröcker. The kinematic image of RR, PR, and RP dyads. Submitted for publication, 2016. [ preprint ]
[2] Z. Li, J. Schicho, and H.-P. Schröcker. Factorization of motion polynomials. Submitted for publication, 2015. [ preprint ]

Miscellaneous

[1] G. Hegedüs, Z. Li, J. Schicho, and H.-P. Schröcker. From the fundamental theorem of algebra to Kempe's universality theorem. Internat. Math. Nachrichten, 229:13-26, 2015. [ ZBL | preprint ]
[2] H.-P. Schröcker. Elegante Bewegungsschule. Konstruktion für Elektronik und Maschinenbau, (12):20-21, 2011. [ www ]
[3] H.-P. Schröcker. The Bäcklund transform of principal contact element nets, 2010. [ preprint ]