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Determining the movements of the skeleton using well-configured markers
1993 (English)In: Journal of Biomechanics, ISSN 0021-9290, E-ISSN 1873-2380, Vol. 26, p. 1473-1477Article in journal (Refereed) Published
Abstract [en]

The problem of determining skeletal movements in 3 dimensions by using a number of landmarks is treated. We present a method that determines the motion of a rigid body by using the positions of the landmarks in a least-squares sense. The method uses the singular value decomposition of a matrix derived from the positions of the landmarks. We show how one can use this method to express movement of skeleton segments relative to each other. As many others have pointed out, the movement can be very ill determined if the landmarks are badly configured. We present a condition number for the problem with good geometrical properties. The condition number depends on the configuration of the landmarks and indicates how to distribute the landmarks in a suitable way.

Place, publisher, year, edition, pages
1993. Vol. 26, p. 1473-1477
National Category
Computational Mathematics
Research subject
Scientific Computing
Identifiers
URN: urn:nbn:se:ltu:diva-6722DOI: 10.1016/0021-9290(93)90098-YLocal ID: 500bc610-c733-11db-98d9-000ea68e967bOAI: oai:DiVA.org:ltu-6722DiVA, id: diva2:979608
Note
Upprättat; 1993; 20070228 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-03-08Bibliographically approved

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Söderkvist, Inge

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