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On methods for computing rotations of spheres
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Embedded Internet Systems Lab.
1994 (English)Report (Other academic)
Abstract [en]

Some numerical methods for calculating the rotation of a sphere with a dot pattern are studied. The moving sphere has been video recorded and the coordinates of the moving dots have been determined with the aid of image analysis. It turns out that a method that uses a least squares technique to compute the rotation matrix of the rotation is least sensitive to discretisation errors, but more traditionally methods, that use vector cross products, are more computationally efficient when less than five dots are available. 1 This work was supported by Norrbottens Forskningsrad, Lulea, Sweden 1 Introduction The movement of particles can be described as the sums of translations and a rotations. In experimental verification of mathematical models of granular flows it is therefore of importance to measure not only translation but also rotation. Such measurements are rare, however, and mostly deal with the rotation of a single or very few particles [2, 9]. This is easily explained by the com...

Place, publisher, year, edition, pages
1994. , 22 p.
Research report / Luleå University of Technology1 jan 1974 → 31 dec 1996, ISSN 0347-0881 ; 1994:14
Research subject
Scientific Computing; Industrial Electronics
URN: urn:nbn:se:ltu:diva-21833Local ID: 065dec50-25b1-11dc-b6d3-000ea68e967bOAI: diva2:994881
Godkänd; 1994; 20070628 (ysko)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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