Lipschitz Quaternions In The Range [−10, 10]^4, Which Do Not Induce Bijective 3D Digitized Rotations

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

Related Organizations

Paris-Est Sup
France
French National Centre for Scientific Research
France
University of Reims Champagne-Ardenne
France

Keywords

digitized rotations, quaternions, digital geometry, bijective transformations

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