Published June 20, 2017 | Version v1
Dataset Open

Lipschitz quaternions in the range [−10, 10]^4, which do not induce bijective 3D digitized rotations

Authors/Creators

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

Description

The file contains Lipschitz quaternions in the range [−10, 10]^4, such that they do not induce bijective 3D digitized rotations. For a list of the Lipschitz quaternions from the range which do induce bijective 3D digitized rotations, please, see : https://doi.org/10.5281/zenodo.814552 

It is a comma-separated values file format such that each line contains a different quaternion. The quaternions were certified by 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

Files

lipschitz_quaternion_non-bijective_-10_10.csv

Files (1.8 MB)

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