List of Publications and Talks

Hans-Peter Schröcker

September 2, 2021

Contents

Publications2 Journal Articles...... 2 Conference Proceedings (reviewed)...... 5 Chapters or pages in books (reviewed)...... 6 Conference Proceedings (not reviewed)...... 8 Book...... 9 Didactic Articles...... 9 Editorial Work...... 10 In Review...... 10 Miscellaneous...... 10 Theses...... 10

Public Talks 11 Plenary or invited talks...... 11 Registered talks...... 11 Guest lectures...... 14 Workshop talks...... 14 Teacher Education Seminars...... 15 Miscellaneous Talks...... 15

1 Publications

Journal Articles [1] Johann Lang and Hans-Peter Schröcker. “Edge-Orthogonal Patches Trough a Given Rational Bézier-Curve”. In: J. Geom. Graphics 2.2 (1998), pp. 109–121. [2] Georg Glaeser and Hans-Peter Schröcker. “Reflections on Refractions”. In: J. Geom. Graphics 4.1 (2000), pp. 1–18. [3] Hans-Peter Schröcker. “A Family of Conics and Three Special Ruled Surfaces”. In: Beitr. Algebra Geom. 42.2 (2001), pp. 531–545. [4] Hans-Peter Schröcker. “Generatrices of Rational Curves”. In: J. Geom. 73 (2002), pp. 134–147. [5] Hans-Peter Schröcker. “Semi-Darboux Motions of Rational Curves with Equiva- lent Trajectories”. In: Abh. Math. Sem. Univ. Hamburg 73 (2003), pp. 271–279. [6] Hans-Peter Schröcker. “The Manifold of Planes that Intersect Four Straight Lines in Points of a Circle”. In: J. Geom. Graphics 8.1 (2004), pp. 59–68. [7] Hans-Peter Schröcker and Johannes Wallner. “Curvatures and Tolerances in the Euclidean Motion Group”. In: Results Math. 47 (2005), pp. 132–146. [8] Johannes Wallner, Hans-Peter Schröcker, and Shi-Min Hu. “Tolerances in Ge- ometric Constraint Problems”. In: Reliab. Comput./Nadezhn. Vychisl. 11.3 (2005), pp. 235–251. [9] Hans-Peter Schröcker. “The of Rational Parameterized Representa- tions”. In: J. Geom. 82 (2005), pp. 171–187. [10] Hans-Peter Schröcker. “Conic Sections in Space Defined by Intersection Condi- tions”. In: Beitr. Algebra Geom. 46.2 (2005), pp. 301–309. [11] Hans-Peter Schröcker. “The Intersection Conics of Six Straight Lines”. In: Beitr. Algebra Geom. 46.2 (2005), pp. 435–446. [12] Emiko Tsutsumi, Hans-Peter Schröcker, Hellmuth Stachel, and Gunter Weiß. “Evaluation of Student’s Spatial Abilities in and Germany”. In: J. Geom. Graphics 9.1 (2005), pp. 107–117. [13] Hans-Peter Schröcker and Johannes Wallner. “Geometric Constructions with Discretized Random Variables”. In: Reliab. Comput./Nadezhn. Vychisl. 12.3 (2006), pp. 206–223. [14] Manfred Husty, Martin Pfurner, and Hans-Peter Schröcker. “A New and Effi- cient Algorithm for the Inverse Kinematics of a General Serial 6R Manipulator”. In: Mech. Mach. Theory 42.1 (2007), pp. 66–81.

2 [15] Christoph Niederegger, Clemens Bruschek, Matthias Koppi, Hans-Peter Schröcker, and Dominique Wagner. “Verbesserung von Frisch- und Festbetoneigenschaften durch Mischung der Haufwerksporosität von Bindemitteln mittels Approxima- tion der Fuller-Kurve durch Mischen von Kornfraktionen”. In: Beton 5 (2007), pp. 220–222. [16] Hans-Peter Schröcker, Manfred Husty, and J. Michael McCarthy. “Kinematic Mapping Based Assembly Mode Evaluation of Planar Four-Bar Mechanisms”. In: ASME J. Mech. Design 129.9 (2007), pp. 924–929. [17] Hans-Peter Schröcker. “Minimal Enclosing Hyperbolas of Line Sets”. In: Beitr. Algebra Geom. 48.2 (2007), pp. 367–381. [18] Manfred Husty, Martin Pfurner, Hans-Peter Schröcker, and Katrin Brunnthaler. “Algebraic Methods in Mechanism Analysis and Synthesis”. In: Robotica 25.6 (2007), pp. 661–675. [19] Hans-Peter Schröcker. “Uniqueness Results for Minimal Enclosing Ellipsoids”. In: Comput. Aided Geom. Design 25.9 (2008), pp. 756–762. [20] Hans-Peter Schröcker. “Double Tangent Circles and Focal Properties of Sphero- Conics”. In: J. Geom. Graphics 12.2 (2008), pp. 161–169. [21] Hans-Peter Schröcker. “Orthologic Tetrahedra with Intersecting Edges”. In: KoG 13 (2009), pp. 13–18. arXiv: 0910.1514. [22] Matthias J. Weber and Hans-Peter Schröcker. “Davis’ Convexity Theorem and Extremal Ellipsoids”. In: Beitr. Algebra Geom. 51.1 (2010), pp. 263–274. arXiv: 0907.1158v2. [23] Hans-Peter Schröcker. “Discrete Gliding Along Principal Curves”. In: J. Geom. Graphics 14.2 (2010), pp. 171–180. [24] Matthias J. Weber and Hans-Peter Schröcker. “Minimal Area Conics in the Elliptic Plane”. In: Advances in Geom. 14.4 (2012), pp. 665–684. arXiv: 1008.4285. [25] Hans-Peter Schröcker. “Discrete Laplace Cycles of Period Four”. In: Central European J. Mathematics 10.2 (2012), pp. 426–439. arXiv: 1104.3689. [26] Matthias J. Weber and Hans-Peter Schröcker. “Minimal Area Ellipses in the Hyperbolic Plane”. In: Beitr. Algebra Geom. 54.1 (2013), pp. 181–200. arXiv: 1101. 4740. [27] Gábor Hegedüs, Josef Schicho, and Hans-Peter Schröcker. “Factorization of Rational Curves in the Study Quadric and Revolute Linkages”. In: Mech. Mach. Theory 69.1 (2013), pp. 142–152. arXiv: 1202.0139. [28] Gábor Hegedüs, Josef Schicho, and Hans-Peter Schröcker. “The Theory of Bonds: A New Method for the Analysis of Linkages”. In: Mech. Mach. Theory 70 (2013), pp. 407–424. arXiv: 1206.4020.

3 [29] Josef Schadlbauer and Hans-Peter Schröcker. “Orthogonality Relations for Tetra- hedra in Elliptic and Hyperbolic Spaces”. In: J. Geom. Graphics 18.1 (2014), pp. 97– 104. [30] Hans-Peter Schröcker and Matthias J. Weber. “Guaranteed Collision Detection With Toleranced Motions”. In: Comput. Aided Geom. Design 31.7–8 (2014), pp. 602– 612. arXiv: 1310.8097. [31] Gábor Hegedüs, Josef Schicho, and Hans-Peter Schröcker. “Four-Pose Synthesis of Angle-Symmetric 6R Linkages”. In: ASME J. Mechanisms Robotics 7.4 (2015). arXiv: 1309.4959. [32] Gábor Hegedüs, Zijia Li, Josef Schicho, and Hans-Peter Schröcker. “The Theory of Bonds II: Closed 6R Linkages With Maximal Genus”. In: J. Symbolic Comput. 68.2 (2015), pp. 167–180. arXiv: 1309.6558. [33] Zijia Li, Josef Schicho, and Hans-Peter Schröcker. “Spatial Straight-Line Linkages by Factorization of Motion Polynomials”. In: ASME J. Mechanisms Robotics 8.2 (2015). arXiv: 1410.2752. [34] Zijia Li, Josef Schicho, and Hans-Peter Schröcker. “The Rational Motion of Minimal Dual Quaternion Degree with Prescribed Trajectory”. In: Comput. Aided Geom. Design 41 (2016), pp. 1–9. arXiv: 1504.05428. [35] Zijia Li, Josef Schicho, and Hans-Peter Schröcker. “A Survey on the Theory of Bonds”. In: IMA J. Math. Control Inform. 35.1 (2018), pp. 279–295. arXiv: 1808.03138. [36] Hans-Peter Schröcker. “Singular Frégier Conics in Non-Euclidean Geometry”. In: J. Geom. Graphics 21.2 (2017), pp. 201–208. arXiv: 1605.07437. [37] Zijia Li, Josef Schicho, and Hans-Peter Schröcker. “Factorization of Motion Polynomials”. In: J. Symbolic Comput. 92 (2019), pp. 190–202. arXiv: 1502.07600. [38] Hans-Peter Schröcker. “From A to B: New Methods to Interpolate Two Poses”. In: J. Geom. Graphics 22.1 (2018), pp. 87–98. arXiv: 1706.04539. [39] Zijia Li, Josef Schicho, and Hans-Peter Schröcker. “Kempe’s Universality Theo- rem for Rational Space Curves”. In: Found. Comput. Math. 18.2 (2018), pp. 509– 536. arXiv: 1509.08690. [40] Tudor-Dan Rad, Daniel F. Scharler, and Hans-Peter Schröcker. “The Kinematic Image of RR, PR, and RP Dyads”. In: Robotica 36.10 (2018), pp. 1477–1492. arXiv: 1607.08119. [41] Zijia Li, Daniel F. Scharler, and Hans-Peter Schröcker. “Factorization Results for Left Polynomials in Some Associative Real Algebras: State of the Art, Applica- tions, and Open Questions”. In: J. Comput. Appl. Math. 349 (2019), pp. 508–522. arXiv: 1803.06194.

4 [42] Johannes Siegele, Daniel F. Scharler, and Hans-Peter Schröcker. “Rational Mo- tions with Generic Trajectories of Low Degree”. In: Comput. Aided Geom. Design 76 (2020), p. 101793. arXiv: 1907.11525. [43] Daniel F. Scharler, Johannes Siegele, and Hans-Peter Schröcker. “Quadratic Split Quaternion Polynomials: Factorization and Geometry”. In: Adv. Appl. Clifford Algebras 30.11 (2020). arXiv: 1908.05093. [44] Daniel F. Scharler and Hans-Peter Schröcker. “An Algorithm for the Factoriza- tion of Split Quaternion Polynomials”. In: Adv. Appl. Clifford Algebras 31 (2021). arXiv: 2010.05751. [45] Johannes Siegele, Martin Pfurner, and Hans-Peter Schröcker. “Factorization of Dual Quaternion Polynomials Without Study’s Condition”. In: Adv. Appl. Clifford Algebras 33 (2021). arXiv: 2010.01945. [46] Johannes Siegele, Pfurner Martin, and Hans-Peter Schröcker. “Space Kinematics and Projective Differential Geometry Over the Ring of Dual Numbers”. In: J. Geom. Graphics 25.1 (2021), pp. 19–31. arXiv: 2006.14259.

Conference Proceedings (reviewed) [47] Hans-Peter Schröcker, Manfred Husty, and J. Michael 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. [48] Manfred Husty, Martin Pfurner, and Hans-Peter Schröcker. “A New and Effi- cient Algorithm for the Inverse Kinematics of a General Serial 6R”. In: Proceedings of ASME 2005 29th Mechanism and Robotics Conference. Long Beach, 2005. [49] Katrin Brunnthaler, Hans-Peter Schröcker, and Manfred Husty. “Synthesis of Spherical Four-Bar Mechanisms Using Spherical Kinematic Mapping”. In: Advances in Robot Kinematics. Ed. by J. Lenarˇciˇcand B. Roth. Springer, 2006, pp. 377–384. [50] Hans-Peter Schröcker and Manfred Husty. “Kinematic Mapping Based Assembly Mode Evaluation of Spherical Four-Bar Mechanisms”. In: Proceedings of IFToMM 2007. Ed. by Jean-Pierre Merlet and Marc Dahan. Besançon, France, 2007. [51] Hans-Peter Schröcker and Kenjiro 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. Suzhou: Beijing Institute of Technology Press, 2007, pp. 20–25. [52] Margot Rabl, Laureano Gonzalez-Vega, Bert Jüttler, and Hans-Peter Schröcker. “Oriented Bounding Surfaces With at Most Six Common Normals”. In: IEEE Conference on Robotics and Automation. Ed. by A. Bicchi. CD-Rom. Kobe, May 2009. isbn: 978-1-4244-2789-5.

5 [53] Zijia Li, Tudor-Dan Rad, Josef Schicho, and Hans-Peter Schröcker. “Factorization of Rational Motions: A Survey with Examples and Applications”. In: Proceedings of the 14th IFToMM World Congress. Ed. by Shuo-Hung Chang. 2015. arXiv: 1501.06862. [54] Zijia Li, Josef Schicho, and Hans-Peter Schröcker. “7R Darboux Linkages by Factorization of Motion Polynomials”. In: Proceedings of the 14th IFToMM World Congress. Ed. by Shuo-Hung Chang. 2015. arXiv: 1501.07365. [55] Tudor-Dan Rad and Hans-Peter Schröcker. “The Kinematic Image of 2R Dyads and Exact Synthesis of 5R Linkages”. In: Proceedings of the IMA Conference on Mathematics of Robotics. 2015. isbn: 978-0-90-509133-4. arXiv: 1503.04566. [56] Martin Pfurner, Hans-Peter Schröcker, and Manfred Husty. “Path Planning in Kinematic Image Space Without the Study Condition”. In: Proceedings of Advances in Robot Kinematics. Ed. by Jadran Lenarˇciˇcand Jean-Pierre Merlet. 2016. [57] Tudor-Dan Rad and Hans-Peter Schröcker. “Optimal Synthesis of Overcon- strained 6R Linkages by Curve Evolution”. In: Computational Kinematics. Ed. by Saïd Zeghloul, Lotfi Romdhane, and Med Amine Laribi. Springer, 2017. arXiv: 1702.00019.

Chapters or pages in books (reviewed) [58] Katrin Brunnthaler, Hans-Peter Schröcker, and Manfred Husty. “A New Method for the Synthesis of Bennett Mechanisms”. In: Proceedings of CK 2005, International Workshop on Computational Kinematics. Cassino, 2005. [59] Hans-Peter Schröcker and Bert Jüttler. “Motion Interpolation with Bennett Biarcs”. In: Proceedings of Computational Kinematics (CK 2009). Ed. by Andres Kecskeméthy and Andreas Müller. Springer, 2009, pp. 101–108. [60] Hans-Peter Schröcker, Bert Jüttler, and Martin Aigner. “Evolving Four-Bars for Optimal Synthesis”. In: Proceedings of EUCOMES 08. Ed. by Marco Ceccarelli. Springer, 2009, pp. 109–116. [61] Manfred Husty and Hans-Peter Schröcker. “Algebraic Geometry and Kinemat- ics”. In: Nonlinear Computational Geometry. Ed. by Ioannis Z. Emiris, Frank Sottile, and Thorsten Theobald. Vol. 151. The IMA Volumes in Mathematics and its Applications. Springer, 2010. Chap. Algebraic Geometry and Kinematics, pp. 85– 107. [62] Hans-Peter Schröcker. “Contributions to Four-Positions Theory with Relative Rotations”. In: New Trends in Mechanism Science. Analysis and Design. Ed. by D. L. Pisla, M. Ceccarelli, M. Husty, and Corves. B. J. Vol. 5. Mechanism and Machine Science. Springer, 2010, pp. 21–28. arXiv: 0911.5253.

6 [63] Manfred Husty and Hans-Peter Schröcker. “A Proposal for a New Definition of the Degree of Freedom of a Mechanism”. In: Interdisciplinary Applications of Kinematics. Ed. by Andrés Kecskeméthy, Veljko Potkonjak, and Andreas Müller. Springer, 2011, pp. 109–117. [64] Gábor Hegedüs, Josef Schicho, and Hans-Peter Schröcker. “Construction of Overconstrained Linkages by Factorization of Rational Motions”. In: Latest Ad- vances in Robot Kinematics. Ed. by Jadran Lenarˇciˇcand Manfred Husty. Springer, 2012, pp. 213–220. [65] Gábor Hegedüs, Josef Schicho, and Hans-Peter Schröcker. “Bond theory and closed 5R linkages”. In: Latest Advances in Robot Kinematics. Ed. by Jadran Lenarˇciˇc and Manfred Husty. Springer, 2012, pp. 221–228. [66] Manfred Husty and Hans-Peter Schröcker. “Kinematics and Algebraic Geom- etry”. In: 21st Century Kinematics. The 2012 NSF Workshop. Ed. by J. Michael McCarthy. London: Springer, 2012, pp. 85–123. [67] Hans-Peter Schröcker, Martin Pfurner, and Josef Schadlbauer. “Constraint Va- rieties in Mechanism Science”. In: Handbook of Geometric Constraint Systems Principles. Ed. by Meera Sitharam, Audrey St. John, and Jessica Sidman. Discrete Mathematics and Its Applications. Chapman and Hall/CRC, 2018. [68] Martin Pfurner and Hans-Peter Schröcker. “Manfred Husty: A Short Biography of his Scientific Life”. In: Advances in Mechanism and Machine Science. Ed. by Tadeusz Uhl. Cham: Springer International Publishing, 2019, pp. 409–417. isbn: 978-3-030-20131-9. [69] Daniel F. Scharler and Hans-Peter Schröcker. “New Trends in Analysis and Geometry”. In: ed. by Mohamed Amine Khamsi, Ali Alkhaldi, and Mohammed Kbiri Alaoui. Cambridge Scholars Publishing, 2020. Chap. Motion Factorization and Bond Theory in Hyperbolic Kinematics, pp. 193–217. isbn: 978-1-5275-4563- 2. [70] Hans-Peter Schröcker, Martin Pfurner, and Johannes Siegele. “Space Kinematics and Projective Differential Geometry Over the Ring of Dual Numbers”. In: ICGG 2020 – Proceedings of the 19th International Conference on Geometry and Graphics. Ed. by Liang-Yee Cheng. An extended version of this article has been published, after additional reviewing, in J. Geom. Graph. Springer, 2021. Chap. Space Kinematics and Projective Differential Geometry Over the Ring of Dual Numbers, pp. 15–24. [71] Johanna Lercher, Daniel F. Scharler, and Hans-Peter Schröcker. A Remarkable 8R-Mechanism. Accepted for publication in the Proceedings of the 2nd IMA Conference on Mathematics of Robotics. 2021.

7 Conference Proceedings (not reviewed) [72] Hans-Peter Schröcker. “Das Erzeugnis dreier projektiv gekoppelter Kegelschnitte”. In: Proceedings 25. Süddt. Differentialgeometrie-Kolloquium. Ed. by Hellmuth Stachel and Johannes Wallner. TU Wien. 2001, pp. 79–94. [73] Hans-Peter Schröcker. “Geometrisches Freihandzeichnen an der Universität für Angewandte Kunst in Wien”. In: Proceedings Dresden Symposium Geometrie. TU Dresden. 2003, pp. 289–296. [74] Hans-Peter Schröcker and Kenjiro 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. Vol. 40. 4. In Japanese. Japan Society for Graphic Science. Dec. 2007. [75] Christoph Niederegger and Hans-Peter Schröcker. “Eine Möglichkeit der Ko- rnbandoptimierung im Feinteilbereich – neue Separationstechniken”. In: Inns- brucker Bautage 2008. Ed. by Jürgen Feix and Andreas Andreatta. Innsbruck – Massivbau und Brückenbau. Innsbruck University Press, 2008, pp. 65–74. [76] Hans-Peter Schröcker. “Double Tangent Circles and Focal Properties of Sphero- Conics”. In: Proceedings of the 13th International Conference on Geometry and Graph- ics (ICGG 2008). Re-published after additional reviewing in J. Geom. Graph. Dresden, Germany, 2008. [77] Kenjiro Suzuki and Hans-Peter 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. [78] Hans-Peter Schröcker. “Discrete Gliding Along Principal Curves”. In: Proceedings of the 14th International Conference on Geometry and Graphics. Ed. by Naomi Ando, Takashi Kanai, Jun Mitani, Aya Saito, and Yasushi Yamaguchi. Re-published after additional reviewing in J. Geom. Graph. Kyoto, 2010, pp. 37–46. isbn: 978-4-9900967-1-7. arXiv: 1004.1259. [79] Hans-Peter Schröcker. “The Axodes of Rotation Quadrilaterals”. In: Proceedings of the 15th International Conference on Geometry and Graphics. Ed. by Paul Zsombor- Murray, Aaron Sprecher, and Bruno Angeles. Montréal, 2012, pp. 675–681. isbn: 978-0-7717-0717-9. [80] Josef Schadlbauer and Hans-Peter Schröcker. “Orthogonality Relations for Tetra- hedra in Elliptic and Hyperbolic Spaces”. In: Proceedings of the 15th Interna- tional Conference on Geometry and Graphics. Ed. by Paul Zsombor-Murray, Aaron Sprecher, and Bruno Angeles. Re-published after additional reviewing in J. Geom. Graph. Montréal, 2012, pp. 668–674. isbn: 978-0-7717-0717-9.

8 [81] Hans-Peter Schröcker. “The Shapes of Walter Wunderlich”. In: FORM – RULE | RULE – FORM 2013. Ed. by Günther H. Filz, Rupert Maleczek, and Christian Scheiber. innsbruck university press, 2014, pp. 109–117. isbn: 978-3-902936-23-3. [82] Gábor Hegedüs, Josef Schicho, and Hans-Peter Schröcker. “A non-unique fac- torization theorem and its engineering applications”. In: Proceedings of Future Trends in Civil Engineering. Ed. by Anita Ceri´cand Stjepan Lukuši´c.University of Zagreb, Faculty of Civil Engineering. 2014, pp. 123–140. [83] Martin Pfurner, Josef Schadlbauer, and Hans-Peter Schröcker. “A Recyclable Möbius Strip”. In: Proceedings of the 16th International Conference on Geometry and Graphics. Ed. by Hans-Peter Schröcker and Manfred Husty. Innsbruck University Press, 2014, pp. 1024–1030. isbn: 978-3-902936-46-2. [84] Hans-Peter Schröcker. “Singular Frégier Conics in Non-Euclidean Geometry”. In: Proceedings of the 17th International Conference on Geometry and Graphics. Re- published after additional reviewing in J. Geom. Graph. Beijing, 2016. [85] Hans-Peter Schröcker. “From A to B: New Methods to Interpolate Two Poses”. In: Proceedings of the 11th Asian Forum on Graphic Science. Ed. by Hirotaka Suzuki, Naomi Ando, and Yasushi Yamaguchi. Re-published after additional reviewing in J. Geom. Graph. Tokyo, 2017. arXiv: 1706.04539. [86] Zijia Li, Josef Schicho, and Hans-Peter Schröcker. “The Geometry of Quadratic Quaternion Polynomials in Euclidean and Non-Euclidean Planes”. In: ICGG 2018 – Proceedings of the 18th International Conference on Geometry and Graphics. Ed. by Luigi Cocchiarella. Cham: Springer International Publishing, 2019, pp. 298–309. isbn: 978-3-319-95588-9. arXiv: 1805.03539.

Book [87] Georg Glaeser and Hans-Peter Schröcker. Handbook of Geometric Programming Using Open Geometry GL. New York: Springer, 2002.

Didactic Articles [88] Hans-Peter Schröcker and Georg Glaeser. “Geometrisches Freihandzeichnen – Anregungen, Gedanken, Beispiele”. In: Inf. Bl. Geom. 23.1 (2004), pp. 16–20. [89] Patrick Taschwer and Hans-Peter Schröcker. “Parametrische Erzeugung von Flächen in Rhinoceros am Beispiel von Schnecken und Muscheln”. In: Inf. Bl. Geom. 24.2 (2005), pp. 39–42. [90] Hans-Peter Schröcker. “Geometry and CAD Education at the University of Innsbruck”. In: J. Graphic Science Japan 40.4 (2006), pp. 17–26. [91] Hans-Peter Schröcker and Kenjiro Suzuki. “Ein Vergleich von Lösungsstrategien für eine anspruchsvolle Modellieraufgabe”. In: Inf. Bl. Geom. 26.1 (2007), pp. 23– 25.

9 [92] Hans-Peter Schröcker. “Selbstkorrigierende Aufgaben am Tetreader”. In: Inf. Bl. Geom. 30.2 (2011), pp. 27–29.

Editorial Work [93] Manfred Husty and Hans-Peter Schröcker, eds. Proceedings of EuCoMeS, the First European Conference on Mechanism Science. Innsbruck University Press. Feb. 2006. isbn: 3-901249-85-0. [94] Hans-Peter Schröcker and Manfred Husty, eds. Proceedings of the 16th Interna- tional Conference on Geometry and Graphics. Innsbruck University Press. Aug. 2014. isbn: 978-3-902936-46-2. [95] Miroslav Láviˇcka, Maria Lucia Sampoli, and Hans-Peter Schröcker. “New Progress in Geometry for Applications (Editorial)”. In: Comput. Aided Geom. Design (2018).

In Review [96] Johanna Lercher, Daniel F. Scharler, Hans-Peter Schröcker, and Johannes Siegele. Factorization of Quaternionic Polynomials of Bi-Degree (n, 1). Submitted for publica- tion. 2021. arXiv: 2011.01744. [97] Johanna Lercher and Hans-Peter Schröcker. A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials. Submitted for publication. 2021. arXiv: 2105.08500.

Miscellaneous [98] Gábor Hegedüs, Zijia Li, Josef Schicho, and Hans-Peter Schröcker. “From the Fundamental Theorem of Algebra to Kempe’s Universality Theorem”. In: Inter- nat. Math. Nachrichten 229 (2015), pp. 13–26. arXiv: 1507.05317. [99] Hans-Peter Schröcker. The Bäcklund Transform of Principal Contact Element Nets. 2010. arXiv: 1010.3339. [100] Hans-Peter Schröcker. “Elegante Bewegungsschule”. In: Konstruktion für Elek- tronik und Maschinenbau 12 (2011), pp. 20–21.

Theses [101] Hans-Peter Schröcker. “Die Konstruktion orthogonaler Fortsetzungen von Bézier- Kurven und -Flächen”. MA thesis. Technische Universität , 1998. [102] Hans-Peter Schröcker. “Die von drei projektiv gekoppelten Kegelschnitten erzeugte Ebenenmenge”. PhD thesis. Technische Universität Graz, 2000.

10 Talks

Plenary or invited talks [103] Hans-Peter Schröcker. Uniqueness Results for Minimal Enclosing Quadrics. Confer- ence on Geometry: Theory and Applications, Vorau. June 2007. [104] Hans-Peter Schröcker. Der Spezialfall n = 3 – Die Beziehung von Geometrie und Mathematik. German. Tag der Geometrie, Graz. Apr. 2009. [105] Hans-Peter Schröcker. Pairs of Tetrahedra with Orthogonal Edges. 14th Scientific- Professional Colloquium on Geometry and Graphics, Velika. Sept. 2009. [106] Hans-Peter Schröcker. Discrete Gliding Along Principal Curves. 14th International Conference on Geometry and Graphics, Kyoto. Aug. 2010. [107] Hans-Peter Schröcker. The Shapes of Walter Wunderlich. Form-Rule [13], Innsbruck. Jan. 2013. [108] Hans-Peter Schröcker. A non-unique factorization theorem and its engineering appli- cations. Scientific Symposium Future Trends in Civil Engineering, Zagreb. Feb. 2014. [109] Hans-Peter Schröcker. Factorization of Dual Quaternion Polynomials. State of the Art and Applications to Computational Kinematics and Mechanism Science. Second Conference on Subdivision, Geometric and Algebraic Methods, Isogeometric Analysis and Refinability in Italy, Gaeta. Sept. 2017. [110] Hans-Peter Schröcker. Bond Theory and Motion Factorization in Hyperbolic Geometry. First International Conference of Mathematics and its Applications, Abha. Mar. 2018. [111] Hans-Peter Schröcker. Die Geometrie der Bewegung eines Roboters. German. PI-DAY, Freie Universität Bozen. Mar. 2019. [112] Hans-Peter Schröcker. Rational Kinematics. 3rd International Conference on Pure and Applied Mathematics, Van. Online. Sept. 2020. [113] Hans-Peter Schröcker. Rational Motions: Algebra and Geometry Inseparable. Czech- Slovak Conference on Geometry and Graphics, Pardubice. Sept. 2020.

Registered talks [114] Hans-Peter Schröcker. Das Erzeugnis dreier projektiv gekoppelter Kegelschnitte. Ger- man. 25. Süddt. Differentialgeometrie-Kolloquium, Wien. June 2002. [115] Hans-Peter Schröcker. Geometrisches Freihandzeichnen an der Angewandten. Ger- man. Dresden Symposium Geometrie. Feb. 2003. [116] Hans-Peter Schröcker. Curvatures and Tolerances in the Euclidean Motion Group. Mathematical Methods for Curves and Surfaces, Tromsø. June 2004.

11 [117] Hans-Peter Schröcker. Toleranzanalyse für Graphen geometrischer Relationen. Ger- man. Geometrie-Tagung, Vorau. June 2004. [118] Hans-Peter Schröcker. Geometrische Konstruktionen mit diskretisierten Zufallsvari- ablen. German. 16. Internationalen Kongress der Österreichischen Mathematis- chen Gesellschaft, Klagenfurt. Sept. 2005. [119] Hans-Peter Schröcker. Kinematic Mapping Based Assembly Mode Evaluation for Spherical Four-Bar Mechanisms. IFToMM 2007, The 12th World Congress in Mech- anism and Machine Science, Besançon, (France). June 2007. [120] Christoph Niederegger and Hans-Peter Schröcker. Eine Möglichkeit der Kornban- doptimierung im Feinteilbereich – neue Separationstechniken. German. Innsbrucker Bautage 2008. Jan. 2008. [121] Hans-Peter Schröcker. Double Tangent Circles and Focal Properties of Sphero-Conics. 13th International Conference on Geometry and Graphics, Dresden. Aug. 2008. [122] Hans-Peter Schröcker. Evolving Four-Bars for Optimal Synthesis. 2nd European Conference on Mechanism Science, Cassino. Sept. 2008. [123] Hans-Peter Schröcker. 100 Tage Japan – “Graphic Science” an einer Eliteuniversität. German. 29. Fortbildungstagung für Geometrie, Strobl. Nov. 2008. [124] Hans-Peter Schröcker and Bert Jüttler. Motion Interpolation with Bennett Biarcs. Computational Kinematics 2009, Duisburg. May 2009. [125] Hans-Peter Schröcker. The Simplest Truly Spatial Motion. Conference on Geometry: Theory and Applications, Plzeˇn.June 2009. [126] Hans-Peter Schröcker. A Line-Based Discretization of Curvature Lines. 17. ÖMG- Kongress – Jahrestagung der DMV, Graz. Sept. 2009. [127] Hans-Peter Schröcker. A Kinematic Approach to Bäcklund Transforms of Pseudospher- ical Principal Contact Element Nets. 2nd Croatian Conference on Geometry and Graphics, Šibenik. Sept. 2010. [128] Hans-Peter Schröcker. Contributions to Four-Positions Theory with Relative Rotations. 3rd European Conference on Mechanism Science, Cluj-Napoca. Sept. 2010. [129] Hans-Peter Schröcker. Discrete Laplace Cycles of Period Four. Conference on Ge- ometry: Theory and Applications, Vorau. June 2011. [130] Hans-Peter Schröcker. Remarks on the local geometry of a discrete Bäcklund con- figuration. 15th Scientific-Professional Colloquium on Geometry and Graphics, Tuheljske Toplice. Sept. 2011. [131] Hans-Peter Schröcker. The Axodes of Rotation Quadrilaterals. 15th International Conference on Geometry and Graphics, Montréal. Aug. 2012. [132] Hans-Peter Schröcker. Selbstkorrigierende Aufgaben am Tetraeder. German. 33. Fortbildungstagung für Geometrie, Strobl. Nov. 2012.

12 [133] Hans-Peter Schröcker. Four-Pose Synthesis of 5R- and 6R-Linkages with Rational Coupler Motion. Conference on Geometry: Theory and Applications, Ljubljana. June 2013. [134] Hans-Peter Schröcker. Spatial linkages with a straight line trajectory. 18th ÖMG Congress and Annual DMV Meeting, Innsbruck. Sept. 2013. [135] Hans-Peter Schröcker. The Rational Motion of Minimal Dual Quaternion Degree with Prescribed Trajectory. Conference on Geometry: Theory and Applications, Kefermarkt. June 2015. [136] Hans-Peter Schröcker. The Kinematic Image of 2R Dyads and Exact Synthesis of 5R Linkages. IMA Conference on Mathematics of Robotics, Oxford. Sept. 2015. [137] Hans-Peter Schröcker. Factorization of Rational Motions: A Survey with Examples and Applications. The 14th IFToMM World Congress, Taipei. Oct. 2015. [138] Hans-Peter Schröcker. Singular Frégier Conics in Non-Euclidean Geometry. 17th International Conference on Geometry and Graphics, Beijing. Aug. 2016. [139] Hans-Peter Schröcker. Rational Ruled Surfaces as Trajectories of Minimal Degree Rational Motions. 19th Scientific-Professional Colloquium on Geometry and Graphics, Starigrad-Paklenica. Sept. 2016. [140] Hans-Peter Schröcker. Uniqueness of Minimal Motions. Conference on Geometry: Theory and Applications, Plzeˇn.June 2017. [141] Hans-Peter Schröcker. Algebraic Geometry and Mechanism Science. Recent Results and Open Problems. SIAM Conference on Applied Algebraic Geometry, Atlanta. Aug. 2017. [142] Hans-Peter Schröcker. From A to B. New Methods to Interpolate Two Poses. 11th Asian Forum on Graphic Science, Tokyo. Aug. 2017. [143] Hans-Peter Schröcker. The Geometry of Quadratic Quaternion Polynomials in Eu- clidean and non-Euclidean Planes. 18th International Conference on Geometry and Graphics, Milano. Aug. 2018. [144] Hans-Peter Schröcker. Geometry of Split Quaternion Factorization. 21st Scientific- Professional Colloquium on Geometry and Graphics, Sisak. Sept. 2019. [145] Hans-Peter Schröcker. Space Kinematics and Projective Differential Geometry Over the Ring of Dual Numbers. 19th International Conference on Geometry and Graphics, Online. Jan. 2021. [146] Hans-Peter Schröcker. A Remarkable 8R-Mechanism. 2nd IMA Conference on Mathematics of Robotics, Online. Sept. 2021.

13 Guest lectures [147] Hans-Peter Schröcker. Open Geometry – a Geometric Programming System. Graphic Science Educational Board Meeting of the Japanese Society for Graphic Science (JSGS), Tokyo. Aug. 2000. [148] Hans-Peter Schröcker. Graphics Science Education at Innsbruck University – Ge- ometry and CAD. Graphic Science Educational Board Meeting of the Japanese Society for Graphic Science (JSGS), Tokyo. Sept. 2006. [149] Hans-Peter Schröcker. Double Tangent Circles and Focal Properties of Sphero-Conics. Institute of Applied Geometry, University Linz. Nov. 2007. [150] Hans-Peter Schröcker. Das Kontrollnetz von Zyklidenstücken. German. Institut für Geometrie, Technische Universität Dresden. June 2009. [151] Hans-Peter Schröcker. Contributions to Four-Positions Theory with Relative Rotations. Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien. Nov. 2009. [152] Hans-Peter Schröcker. Diskret drehende Bewegungsvorgänge. German. Dresdner Mathematisches Seminar, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden. Apr. 2010. [153] Hans-Peter Schröcker. Bianchis Vertauschungssatz für pseudosphärische Haupt- berührelementnetze. German. Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden. May 2011. [154] Hans-Peter Schröcker. Devil in Paradise or How to Factor a Rational Motion. Special Colloquium Celebrating the Retirement of Hellmuth Stachel, Vienna University of Technology. Nov. 2011. [155] Hans-Peter Schröcker. New Results in Algebraic Kinematics: Mechanism Science, Algebra, and Discrete Mathematics. Université Laval, Départment de génie mé- canique. July 2012. [156] Hans-Peter Schröcker. New Results in Algebraic Kinematics: Mechanism Science, Algebra, and Discrete Mathematics. McGill University, Mechanical Engineering - Robotic Mechanical Systems and Mathematics Seminar. July 2012. [157] Hans-Peter Schröcker. Neue Resultate zu Rationalen Bewegungsvorgängen. German. Geometry Colloquium at the Occasion of Otto Röschel’s 60th Birthday, Graz University of Technology. July 2014. [158] Hans-Peter Schröcker. Curves, Surfaces, and Motions. Geometrisches Kolloquium, Graz. Aug. 2021.

Workshop talks [159] Hans-Peter Schröcker. Kinematics and Algebraic Geometry. Workshop on Compu- tational Methods for Algebraic Spline Surfaces, Strobl. Sept. 2007.

14 [160] Hans-Peter Schröcker. Optimal Evolution Based Synthesis of Planar Four-Bar Mecha- nisms. 5th FSP Workshop Industrial Geometry, Strobl. Mar. 2008. [161] Hans-Peter Schröcker. New Results in Algebraic Kinematics. Workshop on Rigidity Theory: Progress, Applications and Key Open Problems, Banff. July 2012. [162] Hans-Peter Schröcker. Kempe’s Universality Theorem for Rational Space Curves. ICMS Workshop: Geometric Rigidity Theory and Applications, Edinburgh. May/June 2016. [163] Hans-Peter Schröcker. A Plea for Non-Euclidean Geometry in Mechanism Science. Applied Algebraic Geometry. Loughborough University. July 2019.

Teacher Education Seminars [164] Hans-Peter Schröcker. Geometrisches Freihandzeichnen. German. Workshop, 24. Fortbildungstagung für Geometrie, Strobl. Nov. 2003. [165] Hans-Peter Schröcker. Geometrisches Freihandzeichnen. German. Seminar des Pädagogischen Instituts des Bundes für Wien. Apr. 2004. [166] Hans-Peter Schröcker. Geometrisch-technisches Freihandzeichnen. German. Seminar des Pädagogischen Instituts des Bundes für Niederösterreich, Mödling. May 2005. [167] Hans-Peter Schröcker. Geometrisches Freihandzeichnen. German. Seminar des Pädagogischen Instituts Tirol, Lienz. Mar. 2006. [168] Hans-Peter Schröcker. Geometrieunterricht mit Hilfe des Computers – Auf der Suche nach den guten Beispielen. German. Fortbildungsseminar der Arbeitsgemeinschaft DG/GZ Steiermark, St. Peter im Sulmtal. Apr. 2008. [169] Hans-Peter Schröcker. Geometrisches Freihandzeichnen. German. Seminar der Pädagogischen Hochschule Oberösterreich, Linz. Apr. 2009. [170] Hans-Peter Schröcker. Geometrisches Freihandzeichnen. German. Seminar der Pädagogischen Hochschule Tirol, Tramin. Mar. 2010. [171] Hans-Peter Schröcker. Selbstkorrigierende Aufgaben am Tetraeder. German. 33. Fortbildungstagung für Geometrie, Strobl. Nov. 2012.

Miscellaneous Talks [172] Hans-Peter Schröcker. Elliptische Kugeln und hyperbolische Bierdeckel. Eine Ein- führung in die nichteuklidische Geometrie. German. uni.com – Wissen für alle, Volkshochschule Innsbruck. May 2013.

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