Dr. Oliver Rettig

Projektleiter RaHM-Lab

Erzbergerstraße 121, Raum D324

Ausbildung

1990 ‑ 1997

Studium der Physik an der Universität Karlsruhe.

1998 ‑ 2002

Fernstudium Medizinische Physik und Technik mit Vertiefungsrichtung medizinische Bildverarbeitung an der Universtität Kaiserslautern.

2002 ‑ 2008

Promotion zum Dr. rer. nat an der Universität Heidelberg mit dem Thema „Modellierung der oberen Extremität und Armbewegungen beim Gehen“.

Berufliche Tätigkeit

1998 ‑ 1999

Wissenschaftlicher Mitarbeiter im Institut für Didaktik der Physik der Universität Karlsruhe.

Seit 1999

Geschäftsführer der Firma ORAT Software-Entwicklung.

2003 ‑ 2016

Wissenschaftlicher Mitarbeiter im Gang- und Bewegungslabor der Orthopädischen Universitätsklinik Heidelberg.

Seit 2017

Wissenschaftlicher Mitarbeiter der DHBW-Karlsruhe, Fakultät Technik im Labor RaHM-Lab mit den Schwerpunkten Bewegungsanalyse, Robotik und Maschinelles Lernen.

Wissenschaftliche Interessen

Veröffentlichungen

  • Erweiterte Suche öffnen

  • 2026

  • Rettig, Oliver; Hrdina, Jaroslav; Hildenbrand, Dietmar (2026): Geometric algebra: an overview about different implementation representations and memory requirements. In: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences 384 (2326). DOI: 10.1098/rsta.2025.0104

    DOI: https://doi.org/10.1098/rsta.2025.0104 

    Abstract: Several implementations of geometric algebra are available, and many have been approved in the past and can be found in various software codes. For low-dimensional algebras, representations as a sum of basis blades are typically the most suitable. However, isomorphic or irreducible matrix representations are also options. Techniques such as compression on a per-coordinate, per-grade or per-group basis, as well as the use of sparse matrices, can help reduce memory consumption. In the case of high-dimensional algebras, factorized representations can significantly decrease the memory needed for blades and versors, reducing it to O(n2), as opposed to the O(2n) required to represent a complete basis of blades. This is particularly relevant in the context of quantum computing, where high dimensionality and memory usage are increasingly important considerations. This paper reviews various implementation strategies, classifies the corresponding software tools and libraries and highlights recent advancements aimed at reducing memory consumption within the tool Gaalop. This article is part of the theme issue 'Modern applications of geometric algebra'. Several implementations of geometric algebra are available, and many have been approved in the past and can be found in various software codes. For low-dimensional algebras, representations as a sum of basis blades are typically the most suitable. However, isomorphic or irreducible matrix representations are also options. Techniques such as compression on a per-coordinate, per-grade or per-group basis, as well as the use of sparse matrices, can help reduce memory consumption. In the case of high-dimensional algebras, factorized representations can significantly decrease the memory needed for blades and versors, reducing it to O(n2), as opposed to the O(2n) required to represent a complete basis of blades. This is particularly relevant in the context of quantum computing, where high dimensionality and memory usage are increasingly important considerations. This paper reviews various implementation strategies, classifies the corresponding software tools and libraries and highlights recent advancements aimed at reducing memory consumption within the tool Gaalop. This article is part of the theme issue 'Modern applications of geometric algebra'. // Several implementations of geometric algebra are available, and many have been approved in the past and can be found in various software codes. For low-dimensional algebras, representations as a sum of basis blades are typically the most suitable. However, isomorphic or irreducible matrix representations are also options. Techniques such as compression on a per-coordinate, per-grade or per-group basis, as well as the use of sparse matrices, can help reduce memory consumption. In the case of high-dimensional algebras, factorized representations can significantly decrease the memory needed for blades and versors, reducing it to O(n2), as opposed to the O(2n) required to represent a complete basis of blades. This is particularly relevant in the context of quantum computing, where high dimensionality and memory usage are increasingly important considerations. This paper reviews various implementation strategies, classifies the corresponding software tools and libraries and highlights recent advancements aimed at reducing memory consumption within the tool Gaalop. This article is part of the theme issue 'Modern applications of geometric algebra'.

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  • Stöckl, Florian; Müller, Silvan; Rettig, Oliver; Strand, Marcus; Gardill, Markus} (2026) : Analysis of Calibration Poses and Algorithms for Kinematic Calibration of Collaborative Robots Using Laser Tracker Measurements In: IEEE Robotics & Automation: CASE2026_Proceedings: 2026 IEEE 22nd International Conference on Automation Science and Engineering (CASE 2026): Shenyang, Liaoning, China: August 17 – 21, 2026

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  • 2024

  • Alt, Benjamin; Stöckl, Florian; Müller, Silvan; Braun, Christopher; Raible, Julian; Alhasan, Saad; Rettig, Oliver; Ringle, Lukas; Katic, Darko; Jäkel, Rainer; Beetz, Michael; Strand, Marcus; Huber, Marco F. (2024) : RoboGrind: Intuitive and Interactive Surface Treatment with Industrial Robots In: IEEE: 2024 IEEE International Conference on Robotics and Automation (ICRA): International Conference on Robotics and Automation (ICRA): Yokohama, Japan: 13-17 May 2024, S. 2140-2146
  • Rettig, Oliver; Hinderer, Fabian; Strand, Marcus (2024) : Towards an Integrated Development tool for GA and a symbolic CGA implementation based on CasADi for application in robotics In: Bayro-Corrochano, Eduardo: VISION & ROBOTICS: Applied Geometric Algebras in Computer Science and Engineering 2024: Amsterdam: August 27-29, 2024. University of Amsterdam, University of Cambridge

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  • Stöckl, Florian; Müller, Silvan; Strand, Marcus; Gardill, Markus (2024): Design and Evaluation of a Low-Cost Mount for Attaching a Laser Tracker’s SMR to a Robot Flange. In: Sensors 25 (1). DOI: 10.3390/s25010184
  • 2023

  • Raible, Julian; Rettig, Oliver; Alt, Benjamin; Yaman, Alper; Gauger, Isabelle, Biasi, Lorenzo; Müller, Silvan; Katic, Darko; Strand, Marcus; Huber, Marco (2023) : Artificial Neural Network Guided Compensation of Nonlinear Payload and Wear Effects for Industrial Robots In: Xu, Xun; Vogel-Heuser, Birgit; Lu, Yuqian (Hg.): Editorial Proceedings of 2023 IEEE 19th International Conference on Automation Science and Engineering (CASE): Automation for a Resilient Society: 2023 IEEE 19th International Conference on Automation Science and Engineering (CASE): Auckland, New Zealand: 26-30 August 2023. IEEE, S. 1-8. Online verfügbar unter https://ieeexplore.ieee.org/document/10260559
  • Rettig, Oliver; Hinderer, Fabian; Strand, Marcus (2023) : Application of Conformal Geometric Algebra in Robotics: DH-Parameters Extraction from Joint Axes Poses In: IAS Society: Proceedings of the 18th International Conference on Intelligent Autonomous Systems IAS-18: 18th International Conference on Intelligent Autonomous Systems IAS-18: Suwon, Korea: July 4 – 7, 2023. Korea Institute of Robotics and Technology Convergence

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  • Stöckl, Florian; Müller, Silvan; Rettig, Oliver; Saad Alhasan; Strand, Marcus (2023) : RoboGrind – Hybride AI für die Oberflächenbearbeitung mit Robotern In: Weber, Joachim: Tagungsband zum DHBW Forschungstag 2023. Unter Mitarbeit von Cansu Atlay, Alison Ehringer und Annette Herzog: Nachhaltigkeit gestalten: Gesellschaft, Gesundheit, Technologien und Märkte: Stuttgart: 6. Juli 2023. Dualen Hochschule Baden-Württemberg, S. 186-187

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  • Stöckl, Florian; Strand, Marcus; Müller, Silvan; Huber, Marco; Raible, Julian; Braun, Christopher; Katic, Darko; Alt, Benjamin; Merkt, Holger (2023) : Autonomous Surface Grinding of wind turbine blades In: IAS Society: Proceedings of the 18th International Conference on Intelligent Autonomous Systems IAS-18: 18th International Conference on Intelligent Autonomous Systems IAS-18: Suwon, Korea: July 4 – 7, 2023. Korea Institute of Robotics and Technology Convergence

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  • Türk, Nehemia; Strand, Marcus; Rettig, Oliver (2023) : Autonomous Model-Based Inspection Planning for 3D Visual Coverage In: IAS Society: Proceedings of the 18th International Conference on Intelligent Autonomous Systems IAS-18: 18th International Conference on Intelligent Autonomous Systems IAS-18: Suwon, Korea: July 4 – 7, 2023. Korea Institute of Robotics and Technology Convergence

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  • 2022

  • Rettig, Oliver; Strand, Marcus; Müller, Silvan (2022) : Kinematic calibration of a collaborative robot by a marker based optical measurement procedure In: IAS Society: Proceedings of the 17th International Conference on Intelligent Autonomous Systems IAS-17: 17th International Conference on Intelligent Autonomous Systems IAS-17: Zagreb, Croatia: June 13-16, 2022. University of Zagreb Faculty of Electrical Engineering and Computing

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  • Rettig, Oliver; Müller, Silvan; Strand, Marcus (2022) : 46 - Dynamische und ergonomische Adaption von Roboterbewegungen an den Menschen durch Maschinelles Lernen In: Klärle, Martina; Reichardt, Dirk (Hg.): Book of Abstracts: DHBW AI Transfer Congress 2022: Heilbronn, Germany: Freitag, 23. September 2022. Cooperate State University Baden-Wuertemberg: Stuttgart: Duale Hochschule

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  • Strand, Marcus; Rettig, Oliver; Müller, Silvan; Stöckl, Florian; Alhasan, Saad (2022) : 49 - RoboGrind – Hybride AI für die flexible und hochautomatisierte Oberflächenbearbeitung mit Robotern In: Klärle, Martina; Reichardt, Dirk (Hg.): Book of Abstracts: DHBW AI Transfer Congress 2022: Heilbronn, Germany: Freitag, 23. September 2022. Cooperate State University Baden-Wuertemberg: Stuttgart: Duale Hochschule, S. 63-64

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  • 2021

  • Rettig, Oliver; Müller, Silvan; Strand, Marcus (2021) : A marker based optical measurement procedure to analyse robot arm movements and its application to improve accuracy of industrial robots In: IAS Society: Proceedings of the 16th International Conference on Intelligent Autonomous Systems IAS-16: 16th International Conference on Intelligent Autonomous Systems IAS-16: Singapore: 22-25 June 2021. National University of Singapore

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  • Rettig, Oliver; Strand, Marcus (2021) : Determination of posture comfort zones for robot-human handover tasks In: IAS Society: Proceedings of the 16th International Conference on Intelligent Autonomous Systems IAS-16: 16th International Conference on Intelligent Autonomous Systems IAS-16: Singapore: 22-25 June 2021. National University of Singapore

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  • 2018

  • Lenk, Max; Hilsendegen, Paula; Rettig, Oliver; Strand, Marcus (2018) : Simulation and Transfer of Reinforcement Learning Algorithms for Autonomous Obstacle Avoidance In: Strand, Marcus; Dillmann, Rüdiger; Menegatti, Emanuele; Ghidoni, Stefano (Hg.): Proceedings of the 15th International Conference IAS-15: 15th International Conference on Intelligent Autonomous Systems IAS-15: Baden-Baden, Germany: Cham: Springer (Advances in Intelligent Systems and Computing)

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  • Rettig, Oliver; Müller, Silvan; Strand, Marcus; Katic, Darko (2018) : Unsupervised Hump Detection for Mobile Robots Based on Kinematic Measurements and Deep-Learning Based Autoencoder In: Strand, Marcus; Dillmann, Rüdiger; Menegatti, Emanuele; Ghidoni, Stefano (Hg.): Proceedings of the 15th International Conference IAS-15: 15th International Conference on Intelligent Autonomous Systems IAS-15: Baden-Baden, Germany: Cham: Springer (Advances in Intelligent Systems and Computing)

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  • Rettig, Oliver; Müller, Silvan; Strand, Marcus (2018) : Which deep artificial neural network architecture to use for anomaly detection in Mobile Robots kinematic data? In: ML4CPS – Machine Learning for Cyber Physical Systems and Industry 4.0: Proceedings of the Conference Machine Learning for Cyber Physical Systems and Industry 4.0 ML4CPS Fraunhofer IOSB: 5th Conference on Machine Learning for Cyber Physical Systems: Karlsruhe: 2018. ML4CPS – Machine Learning for Cyber Physical Systems and Industry 4.0

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  • Rettig, Oliver; Friesenbichler, Bernd (2018): O 073 - Adjunct SHR - A new version of the "classical" Scapulohumeral Rhythm ratio. In: Gait & posture 65 Suppl 1, S. 150-151. DOI: 10.1016/j.gaitpost.2018.06.098
  • 2017

  • Pott, Peter Paul; Wolf, Sebastian I.; Block, Julia; van Drongelen, Stefan; Grün, Markus; Heitzmann, Daniel Ww; Hielscher, Jürgen; Horn, Andreas; Müller, Roman; Rettig, Oliver; Konigorski, Ulrich; Werthschützky, Roland; Schlaak, Helmut Friedrich; Meiß, Thorsten (2017): Knee-ankle-foot orthosis with powered knee for support in the elderly. In: Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine 231 (8), S. 715-727. DOI: 10.1177/0954411917704008
  • 2016

  • Rettig, Oliver (2016) : Fortschritte bei der Suche nach Gangbild-Zwillingen In: GAMMA: 1. GAMMA-Kongress 2016: 1. GAMMA-Kongress 2016 in Wien: Wien: 26. bis 27. Februar 2016

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  • Sreenivasa, Manish; Chamorro, Carlos Javier Gonzalez; Gonzalez-Alvarado, Daniel; Rettig, Oliver; Wolf, Sebastian I. (2016): Patient-specific bone geometry and segment inertia from MRI images for model-based analysis of pathological gait. In: Journal of biomechanics 49 (9), S. 1918-1925. DOI: 10.1016/j.jbiomech.2016.05.001
  • 2015

  • Fradet, Laetitia; Liefhold, Beate; Rettig, Oliver; Bruckner, Thomas; Akbar, Michael; Wolf, Sebastian I. (2015): Proposition of a protocol to evaluate upper-extremity functional deficits and compensation mechanisms: application to elbow contracture. In: Journal of orthopaedic science : official journal of the Japanese Orthopaedic Association 20 (2), S. 321-330. DOI: 10.1007/s00776-014-0679-z
  • Maier, Michael W.; Zeifang, Felix; Caspers, M.; Dreher, Thomas; Klotz, Matthias C.; Rettig, Oliver; Wolf, Sebastian I.; Kasten, Philip (2015): Can reverse shoulder arthroplasty in post-traumatic revision surgery restore the ability to perform activities of daily living?. In: Orthopaedics & traumatology, surgery & research : OTSR 101 (2), S. 191-196. DOI: 10.1016/j.otsr.2014.12.007
  • Niklasch, Mirjam; Mattner, S.; Krautwurst, Britta K..; Maier, Michael W.; Klotz, Michael; Rettig, Oliver; Wolf, Sebastian I.; Dreher, Thomas (2015): The Objective Measurement of Diadochokinesis in Children with Bilateral Spastic Cerebral Palsy. In: Neuropediatrics 46 (S 01). DOI: 10.1055/s-0035-1550645
  • Rettig, Oliver; Krautwurst, Britta K..; Maier, Michael W.; Wolf, Sebastian I. (2015): Definition of anatomical zero positions for assessing shoulder pose with 3D motion capture during bilateral abduction of the arms. In: BMC musculoskeletal disorders 16. DOI: 10.1186/s12891-015-0840-7
  • Rettig, Oliver (2015) : Gaitmatcher - Search for gait kinematics twins (Vortrag) In: European Society for Movement Analysis in Adults and Children: ESMAC 2015: ESMAC 24th Annual Meeting in Heidelberg: Heidelberg, Germany: 10/09/2015 to 12/09/2015

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  • Rettig, Oliver (2015) : Gaitmatcher – Suche nach Gangbild-Zwillingen (Vortrag): Deutsche Gesellschaft für Beratung 2015

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  • 2014

  • Klotz, Matthias C.; van Drongelen, Stefan; Rettig, Oliver; Wenger, Patrick; Gantz, Simone; Dreher, Thomas; Wolf, Sebastian I. (2014): Motion analysis of the upper extremity in children with unilateral cerebral palsy‐an assessment of six daily tasks. In: Research in developmental disabilities 35 (11), S. 2950-2957. DOI: 10.1016/j.ridd.2014.07.021
  • Maier, Michael W.; Kasten, Philip; Niklasch, Mirjam; Dreher, Thomas; Zeifang, Felix; Rettig, Oliver; Wolf, Sebastian I. (2014): 3D motion capture using the HUX model for monitoring functional changes with arthroplasty in patients with degenerative osteoarthritis. In: Gait & posture 39 (1), S. 7-11. DOI: 10.1016/j.gaitpost.2013.07.111
  • Maier, Michael W.; Niklasch, Mirjam; Dreher, Thomas; Zeifang, Felix; Rettig, Oliver; Klotz, Matthias C.; Wolf, Sebastian I.; Kasten, Philip (2014): Motion patterns in activities of daily living: 3- year longitudinal follow-up after total shoulder arthroplasty using an optical 3D motion analysis system. In: BMC musculoskeletal disorders 15. DOI: 10.1186/1471-2474-15-244
  • Rettig, Oliver; Wolf, Sebastian I.; Krautwurst, Britta K..; Maier, Michael W. (2014): Shoulder girdle elevation during humerus ad-/abduction. In: Gait & posture 39 (1), S. 126-127

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  • 2013

  • Rettig, Oliver; Maier, Michael W.; Gantz, Simone; Raiss, Patric; Zeifang, Felix; Wolf, Sebastian I. (2013): Does the reverse shoulder prosthesis medialize the center of rotation in the glenohumeral joint?. In: Gait & posture 37 (1), S. 29-31. DOI: 10.1016/j.gaitpost.2012.04.019
  • Rettig, Oliver (2013): Reverse Shoulder Prosthesis - Markerbased Measurement of the Center of Rotation Localisation. In: Gait & posture (Volume 37, Issue 1; January 2013), S. 29-31. DOI: 10.1016/j.gaitpost.2012.04.019
  • 2012

  • Rettig, Oliver (2012) : Is slope walking less stable in frontal plane than level walking? (Poster) In: European Society for Movement Analysis in Adults and Children: ESMAC 2012: ESMAC 21st Annual Meeting in Stockholm: Stockholm, Sweden: 12/09/2012 to 15/09/2012

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  • 2010

  • Kasten, Philip; Maier, Michael W.; Wendy, Philipp; Rettig, Oliver; Raiss, Patric; Wolf, Sebastian I.; Loew, Markus (2010): Can shoulder arthroplasty restore the range of motion in activities of daily living? A prospective 3D video motion analysis study. In: Journal of shoulder and elbow surgery 19 (2 Suppl), S. 59-65. DOI: 10.1016/j.jse.2009.10.012
  • 2009

  • Kasten, Philip; Maier, Michael W.; Rettig, Oliver; Raiss, Patric; Wolf, Sebastian I.; Loew, Markus (2009): Proprioception in total, hemi- and reverse shoulder arthroplasty in 3D motion analyses: a prospective study. In: International orthopaedics 33 (6), S. 1641-1647. DOI: 10.1007/s00264-008-0666-0
  • Kasten, Philip; Rettig, Oliver; Loew, Markus; Wolf, Sebastian I.; Raiss, Patric (2009): Three-dimensional motion analysis of compensatory movements in patients with radioulnar synostosis performing activities of daily living. In: Journal of orthopaedic science : official journal of the Japanese Orthopaedic Association 14 (3), S. 307-312. DOI: 10.1007/s00776-009-1332-0
  • Rettig, Oliver; Fradet, Laetitia; Kasten, Philip; Raiss, Patric; Wolf, Sebastian I. (2009): A new kinematic model of the upper extremity based on functional joint parameter determination for shoulder and elbow. In: Gait & posture 30 (4), S. 469-476. DOI: 10.1016/j.gaitpost.2009.07.111
  • Rettig, Oliver; Fradet, Laetitia (2009) : Conjunct and adjunct rotation in the shoulder In: European Society for Movement Analysis in Adults and Children: ESMAC 2009: ESMAC 18th Annual Meeting in London: London, UK: 17/09/2009 to 19/09/2009

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  • Rettig, Oliver; Wolf, Sebastian I. (2009) : Conjunct and adjunct rotation in the shoulder (Vortrag) In: Shortland, Adam: 18th Annual General Meeting of European Society of Movement Analysis in Adults and Children: ESMAC 2009: London: 17-19 September 2009. University of Heidelberg, Heidelberg, Germany: Volume 30, Supplement 2. Online verfügbar unter https://www.academia.edu/6934948/Conjunct_rotation_of_the_shoulder
  • Wolf, Sebastian I.; Fradet, Laetitia; Rettig, Oliver (2009): Conjunct rotation: Codman’s paradox revisited. In: Medical & biological engineering & computing 47 (5), S. 551-556. DOI: 10.1007/s11517-009-0484-6
  • 2008

  • Rettig, Oliver (2008) : Functional methods for shoulder joint centre estimation based on a minimized marker set and comparison of three different computation methods for clinical feasibility (Symposiums-Vortrag) In: European Society for Movement Analysis in Adults and Children: ESMAC 2008: Antalya 2008: Antalya, Turkey: 10/09/2008 to 13/09/2008

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  • Wolf, Sebastian I.; Alimusaj, Merkur; Rettig, Oliver; Döderlein, Leonhard (2008): Dynamic assist by carbon fiber spring AFOs for patients with myelomeningocele. In: Gait & posture 28 (1), S. 175-177. DOI: 10.1016/j.gaitpost.2007.11.012
  • 2007

  • Raiss, Patric; Rettig, Oliver; Wolf, Sebastian I.; Loew, Markus; Kasten, Philip (2007): [Range of motion of shoulder and elbow in activities of daily life in 3D motion analysis]. In: Zeitschrift fur Orthopadie und Unfallchirurgie 145 (4), S. 493-498. DOI: 10.1055/s-2007-965468
  • Rettig, Oliver (2007) : Practical details and experiences of shoulder center (SJC) estimation using a least squares functional method (Vortrag): GCMAS 2007

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  • Rettig, Oliver (2007) : Arm orientations and movements during gait: Normal data and quantification of its variability (Vortrag) In: European Society for Movement Analysis in Adults and Children: ESMAC 2007: Greece 2007: Athens, Greece: 27/09/2007 to 29/09/2007

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  • 2006

  • Rettig, Oliver; Wolf, Sebastian I. (2006) : Proper joint angle representation in the context of femoral derotation osteotomy (Poster) In: European Society for Movement Analysis in Adults and Children: ESMAC 2006: Amsterdam 2006: Amsterdam, Netherlands: 27/09/2006 to 30/09/2006

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  • 2005

  • Rettig, Oliver; Wolf, Sebastian I. (2005) : Rotation in ball joints – a solution for the Codeman paradoxon (Vortarg), Euler is not really what the clinician wants Biomechanics of the lower limb in health desease and rehabilitation (Poster) In: European Society for Movement Analysis in Adults and Children: ESMAC 2005: Barcelona 2005: Barcelona, Spain: 15/09/2005 to 17/09/2005

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  • Rettig, Oliver (2005) : An upper extremity model based on optimized joint centers and axes. In: European Society for Movement Analysis in Adults and Children: ESMAC 2005: Barcelona 2005: Barcelona, Spain: 15/09/2005 to 17/09/2005

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  • 2004

  • Rettig, Oliver (2004) : Upper Extremity – Optical marker based joint center calculation and elbow flexion angle determination (Poster) In: European Society for Movement Analysis in Adults and Children: ESMAC 2004: Warsaw 2004: Warsaw, Poland: 23/09/2004 to 25/09/2004

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  • 2003

  • Rettig, Oliver (2003) : Kinetics of a carbon spring AF-orthosis and its influence on the kinetics of gait In: European Society for Movement Analysis in Adults and Children: ESMAC 2003: Marseille 2003: Marseille, France: 08/09/2003 to 13/09/2003

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  • Rettig, Oliver; Wolf, Sebastian I.; Döderlein, Leonhard (2003): Kinetics of a carbon spring AFO-orthosis and its influence on the kinetics of gait. In: Gait & posture 2

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