Department of Basic Sciences in Civil Engineering, Geometry and Surveying Section

Publications 2022

Contributions to Books / Journals

Journal Article (Original Paper)

• 
  Kalkan, Bahar; Li, Zijia; Schröcker, Hans-Peter; Siegele, Johannes (2022): The Study Variety of Conformal Kinematics.
  In: Advances in Applied Clifford Algebras 32/4, No. 44. (DOI) (Web link)
  
  

Publications 2021

Contributions to Books / Journals

Journal Article (Original Paper)

• 
  Siegele, Johannes; Pfurner, Martin; Schröcker, Hans-Peter (2021): Factorization of dual quaternion polynomials without Study's condition.
  In: Advances in Applied Clifford Algebras 31, No. 22. (DOI) (Web link)
  
  
• 
  Siegele, Johannes; Pfurner, Martin; Schröcker, Hans-Peter (2021): Space Kinematics and Projective Differential Geometry Over the Ring of Dual Numbers.
  In: Journal for Geometry and Graphics 25/1, pp. 19 - 31. (Web link)
  
  

Proceedings Article (Full Paper)

• 
  Schröcker, Hans-Peter; Pfurner, Martin; Siegele, Johannes (2021): Space Kinematics and Projective Differential Geometry over the Ring of Dual Numbers.
  In: Cheng, Liang-Yee: ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics. Cham: Springer International Publishing (= Advances in Intelligent Systems and Computing, 1296)., ISBN 978-3-030-63402-5, pp. 15 - 24. (DOI) (Web link)
  
  

Publications 2020

Contributions to Books / Journals

Journal Article (Original Paper)

• 
  Scharler, Daniel F.; Siegele, Johannes; Schröcker, Hans-Peter (2020): Quadratic Split Quaternion Polynomials: Factorization and Geometry.
  In: Advances in Applied Clifford Algebras 30/1, No. 11. (DOI) (Web link)
  
  
• 
  Siegele, Johannes; Scharler, Daniel F.; Schröcker, Hans-Peter (2020): Rational motions with generic trajectories of low degree.
  In: Computer-Aided Geometric Design 76, No. 101793. (DOI) (Web link)
  
  

Publications 2019

Contributions to Books / Journals

Journal Article (Original Paper)

• 
  Stigger, Thomas; Siegele, Johannes; Scharler, Daniel F.; Pfurner, Martin; Husty, Manfred L. (2019): Analysis of a 3-(R)under-barUU parallel manipulator using algebraic constraints.
  In: Mechanism and Machine Theory 136, pp. 256 - 268. (DOI) (Web link)
  
  

Research Area Scientific Computing

Publications 2022

Contributions to Books / Journals

Journal Article (Original Paper)

• 
  Kalkan, Bahar; Li, Zijia; Schröcker, Hans-Peter; Siegele, Johannes (2022): The Study Variety of Conformal Kinematics.
  In: Advances in Applied Clifford Algebras 32/4, No. 44. (DOI) (Web link)
  
  

Publications 2021

Contributions to Books / Journals

Journal Article (Original Paper)

• 
  Siegele, Johannes; Pfurner, Martin; Schröcker, Hans-Peter (2021): Factorization of dual quaternion polynomials without Study's condition.
  In: Advances in Applied Clifford Algebras 31, No. 22. (DOI) (Web link)
  
  
• 
  Siegele, Johannes; Pfurner, Martin; Schröcker, Hans-Peter (2021): Space Kinematics and Projective Differential Geometry Over the Ring of Dual Numbers.
  In: Journal for Geometry and Graphics 25/1, pp. 19 - 31. (Web link)
  
  

Proceedings Article (Full Paper)

• 
  Schröcker, Hans-Peter; Pfurner, Martin; Siegele, Johannes (2021): Space Kinematics and Projective Differential Geometry over the Ring of Dual Numbers.
  In: Cheng, Liang-Yee: ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics. Cham: Springer International Publishing (= Advances in Intelligent Systems and Computing, 1296)., ISBN 978-3-030-63402-5, pp. 15 - 24. (DOI) (Web link)
  
  

Publications 2020

Contributions to Books / Journals

Journal Article (Original Paper)

• 
  Scharler, Daniel F.; Siegele, Johannes; Schröcker, Hans-Peter (2020): Quadratic Split Quaternion Polynomials: Factorization and Geometry.
  In: Advances in Applied Clifford Algebras 30/1, No. 11. (DOI) (Web link)
  
  

Publications 2019

Contributions to Books / Journals

Journal Article (Original Paper)

• 
  Stigger, Thomas; Siegele, Johannes; Scharler, Daniel F.; Pfurner, Martin; Husty, Manfred L. (2019): Analysis of a 3-(R)under-barUU parallel manipulator using algebraic constraints.
  In: Mechanism and Machine Theory 136, pp. 256 - 268. (DOI) (Web link)
  
  

Department of Basic Sciences in Civil Engineering, Geometry and Surveying Section

Lectures 2022

Presentations for the general public

Public Lecture

• 
  Pfurner, Martin; Schröcker, Hans-Peter; Lercher, Johanna; Siegele, Johannes; Spartalis, Christophoros: Workshop: Modular Origami - Polyeder falten.
  Tag der Mathematik, Innsbruck, 2022-04-21.
  
  

Lectures 2021

Presentations at Conferences, Symposia, etc.

Conference Lecture (Upon Registration)

• 
  Lecturer(s): Schröcker, Hans-Peter Co-author(s): Siegele, Johannes; Pfurner, Martin: Space Kinematics and Projektive Differential Geometry Over the Ring of Dual Numbers.
  The 19th International Conference on Geometry and Graphics, São Paulo, online, 2021-01-19.
  
  
• 
  Lecturer(s): Siegele, Johannes Co-author(s): Pfurner, Martin: Übergeschlossene Mechanismen zur Erzeugung einer vertikalen Darboux Bewegung.
  7. IFToMM D-A-CH Konferenz 2021, Ilmenau, online, 2021-02-18. (Web link)
  
  
• 
  Lecturer(s): Siegele, Johannes Co-author(s): Pfurner, Martin; Schröcker, Hans-Peter: Motion Factorization in the Extended Kinematic Image Space.
  Conference on Geometry: Theory and Applications (CGTA 2021), Gozd Martuljek, 2021-09-23. (Web link)
  
  

Lectures 2019

Presentations at Conferences, Symposia, etc.

Conference Lecture (Invited Lecture)

• 
  Lecturer(s): Siegele, Johannes Co-author(s): Scharler, Daniel; Schröcker, Hans-Peter: Degree Reduction of Rational Motions.
  SIAM Conference on Applied Algebraic Geometry, Bern, 2019-07-10. (Web link)
  
  

Lectures 2018

Presentations at Conferences, Symposia, etc.

Conference Lecture (Upon Registration)

• 
  Lecturer(s): Scharler, Daniel Co-author(s): Siegele, Johannes; Schröcker, Hans-Peter: Rational motions with trajectories of low degree.
  Workshop on Rigidity and Flexibility of Geometric Structures, Wien, 2018-09-28. (Web link)
  
  

Department of Mathematics

Lectures 2014

Presentations for the general public

Public Lecture

• 
  Baumgartner, Florian; Staggl, Gregor; Geiss, Stefan; Geiss, Christel; Siegele, Johannes; Haid, Thomas: Rasenmäher auf Irrfahrt: Ein Problem der Stochastischen Geometrie.
  Lange Nacht der Forschung, Innsbruck, 2014-04-04. (Web link)
  
  

Research Area Scientific Computing

Lectures 2022

Presentations for the general public

Public Lecture

• 
  Pfurner, Martin; Schröcker, Hans-Peter; Lercher, Johanna; Siegele, Johannes; Spartalis, Christophoros: Workshop: Modular Origami - Polyeder falten.
  Tag der Mathematik, Innsbruck, 2022-04-21.
  
  

Lectures 2021

Presentations at Conferences, Symposia, etc.

Conference Lecture (Upon Registration)

• 
  Lecturer(s): Siegele, Johannes Co-author(s): Pfurner, Martin; Schröcker, Hans-Peter: Motion Factorization in the Extended Kinematic Image Space.
  Conference on Geometry: Theory and Applications (CGTA 2021), Gozd Martuljek, 2021-09-23. (Web link)
  
  

Lectures 2019

Presentations at Conferences, Symposia, etc.

Conference Lecture (Invited Lecture)

• 
  Lecturer(s): Siegele, Johannes Co-author(s): Scharler, Daniel; Schröcker, Hans-Peter: Degree Reduction of Rational Motions.
  SIAM Conference on Applied Algebraic Geometry, Bern, 2019-07-10. (Web link)
  
  

Lectures 2018

Presentations at Conferences, Symposia, etc.

Conference Lecture (Upon Registration)

• 
  Lecturer(s): Scharler, Daniel Co-author(s): Siegele, Johannes; Schröcker, Hans-Peter: Rational motions with trajectories of low degree.
  Workshop on Rigidity and Flexibility of Geometric Structures, Wien, 2018-09-28. (Web link)