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Hans-Peter Schröcker 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 Geometry 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 Austria 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:
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