Published June 20, 2017 | Version v2
Dataset Open

Lipschitz quaternions in the range [−10, 10]^4, which induce bijective 3D digitized rotations

Authors/Creators

  • 1. University Paris-Est, LAMA, LIGM
  • 2. University Paris-Est Marne-la-Vallée, LAMA
  • 3. University Paris-Est, CNRS, LIGM
  • 4. University of Reims Champagne-Ardenne, CReSTIC

Contributors

  • 1. Université Paris-Est, LAMA
  • 2. Université Paris-Est, LIGM
  • 3. Université de Reims Champagne-Ardenne, CReSTIC

Description

The file contains Lipschitz quaternions in the range [−10, 10]^4, such that they induce bijective 3D digitized rotations. It is a comma-separated values file format such that each line contains a different quaternion. This is an updated version which contains 576 more quaternions with respect to the previous version. These 576 quaternions where previously certified as ones which do not lead to bijective digitized rotations due to a bug in the used implementation of the algorithm described in:

Pluta K., Romon P., Kenmochi Y., Passat N. (2016) Bijectivity Certification of 3D Digitized Rotations. In: Bac A., Mari JL. (eds) Computational Topology in Image Context. CTIC 2016. Lecture Notes in Computer Science, vol 9667. Springer, pp 30-41, doi:10.1007/978-3-319-39441-1_4

 

Acknowledgements:
Special thanks for Victor Ostromoukhov and  David Cœurjolly of University of Lyon 1, LIRIS, France, for finding the bug.

Files

lipschitz_quaternion_bijective_-10_10.csv

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Additional details

Related works

Is supplement to
10.1007/978-3-319-39441-1 (DOI)