103 research outputs found
Lipschitz quaternions in the range [−10, 10]^4, which induce bijective 3D digitized rotations
No full text<p>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:</p>
<p>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</p>
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<p><strong>Acknowledgements:</strong><br>
Special thanks for Victor Ostromoukhov and David Cœurjolly of University of Lyon 1, LIRIS, France, for finding the bug.</p>
The complete set of neighborhood motions maps induced on a hexagonal grid
No full textThe complete set of neighborhood motions maps induced on a hexagonal grid. This is a supplementary material for: Pluta K., Romon P., Kenmochi Y., Passat N.: Honeycomb geometry: Rigid Motions on the Hexagonal Grid, Accepted for DGCI17
Captations vidéo de l'atelier D'Ada Lovelace à Valérie Beaudouin. Femmes et numérique, une chance pour la visibilité? 17 octobre 2017
No full textCaptation vidéo de l'atelier « D'Ada Lovelace à Valérie Beaudouin. Femmes et numérique, une chance pour la visibilité? », 17 octobre 2017 Vidéo 1 : Introduction de Pascal Romon Intervenant(s) : Pascal Romon Vidéo 2 : intervention de Marie-José Durand-Richard Intervenant(s) : Marie-José Durand-Richard et Caroline Trotot Vidéo 3 : Intervention de Valérie Beaudouin Intervenant(s) : Valérie Beaudouin, Virginie Tahar Vidéo 4 : Table ronde Intervenant(s) : Paola Paci, Pauline Iogna, Hy-Ts..
Lipschitz quaternions in the range [−10, 10]^4, which do not induce bijective 3D digitized rotations
No full text<p>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 </p>
<p>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:</p>
<p>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</p>
3D neighborhood motion maps (6-neighborhood)
No full text<p>The file is a sqlite3 database which contains 3D neighborhood motions maps of 6-neighborhood together with sample points. It was computed while using a variation of the algorithm described in: Pluta K., Moroz G., Kenmochi Y., Romon P. (2016) Quadric Arrangement in Classifying Rigid Motions of a 3D Digital Image. In: Gerdt V., Koepf W., Seiler W., Vorozhtsov E. (eds) Computer Algebra in Scientific Computing. CASC 2016. Lecture Notes in Computer Science, vol 9890. Springer, doi:10.1007/978-3-319-45641-6_27</p>
<p>To refer to a version of the algorithm used to compute the file use DOI:10.5281/zenodo.573013 (https://zenodo.org/badge/latestdoi/53963129).</p>
Sets of second degree polynomials used in the problem of 3D neighborhood motion maps computations
No full text<p>The files are Maple source files which contain sets of second degree polynomials used in the problem of computing 3D neighborhood motion maps. The files contain polynomials related to: 6-neighbrhood (see quadrics_N1.mpl); 18-neighbrhood (see quadrics_N2.mpl) and 26-neighbrhood (see quadrics_N3.mpl).</p>
<p>The polynomials are related to the paper: Pluta K., Moroz G., Kenmochi Y., Romon P. (2016) Quadric Arrangement in Classifying Rigid Motions of a 3D Digital Image. In: Gerdt V., Koepf W., Seiler W., Vorozhtsov E. (eds) Computer Algebra in Scientific Computing. CASC 2016. Lecture Notes in Computer Science, vol 9890. Springer, doi:10.1007/978-3-319-45641-6_27</p>
<p>To refer to a version of the algorithm used to compute the file use DOI:10.5281/zenodo.573013 (https://zenodo.org/badge/latestdoi/53963129).</p>
3D neighborhood motion maps (18-neighborhood)
No full text<p>The file is a sqlite3 database which contains 3D neighborhood motions maps of 18-neighborhood together with sample points. It was computed while using a variation of the algorithm described in: Pluta K., Moroz G., Kenmochi Y., Romon P. (2016) Quadric Arrangement in Classifying Rigid Motions of a 3D Digital Image. In: Gerdt V., Koepf W., Seiler W., Vorozhtsov E. (eds) Computer Algebra in Scientific Computing. CASC 2016. Lecture Notes in Computer Science, vol 9890. Springer, doi:10.1007/978-3-319-45641-6_27</p>
<p>To refer to a version of the algorithm used to compute the file use DOI:10.5281/zenodo.573013 (https://zenodo.org/badge/latestdoi/53963129).</p>
3D neighborhood motion maps (26-neighborhood)
No full text<p>The file is a sqlite3 database which contains 3D neighborhood motions maps of 26-neighborhood together with sample points. It was computed while using a variation of the algorithm described in: Pluta K., Moroz G., Kenmochi Y., Romon P. (2016) Quadric Arrangement in Classifying Rigid Motions of a 3D Digital Image. In: Gerdt V., Koepf W., Seiler W., Vorozhtsov E. (eds) Computer Algebra in Scientific Computing. CASC 2016. Lecture Notes in Computer Science, vol 9890. Springer, doi:10.1007/978-3-319-45641-6_27</p>
<p>To refer to a version of the algorithm used to compute the file use DOI:10.5281/zenodo.573013 (https://zenodo.org/badge/latestdoi/53963129).</p>
3D neighborhood motion maps (From 6 to 26-neighborhoods)
No full textThe file is a sqlite3 database which contains 3D neighborhood motions maps of together with sample points. It was computed while using a variation of the algorithm described in: Pluta K., Moroz G., Kenmochi Y., Romon P. (2016) Quadric Arrangement in Classifying Rigid Motions of a 3D Digital Image. In: Gerdt V., Koepf W., Seiler W., Vorozhtsov E. (eds) Computer Algebra in Scientific Computing. CASC 2016. Lecture Notes in Computer Science, vol 9890. Springer, doi:10.1007/978-3-319-45641-6_27
To refer to a version of the algorithm used to compute the file use DOI:10.5281/zenodo.573013 (https://zenodo.org/badge/latestdoi/53963129).
To view the content of the databases we refer to: https://github.com/copyme/NeighborhoodMotionMapsTools/tree/master/3DNMMViewerDB
Note that in the files' names the prefix 'Nx' refers to different neighborhoods, i.e., N1 – 6-neighborhood, N2 – 18-neighborhood and N3 – 26-neighborhood.
This is a consolidating submission for a purpose of a new publication.</p
A rigidity theorem for Riemann's minimal surfaces
No full textInternational audienceWe describe first the analytic structure of Riemann's examples of singly-periodic minimal surfaces; we also characterize them as extensions of minimal annuli bounded by parallel straight lines between parallel planes. We then prove their uniqueness as solutions of the perturbed problem of a punctured annulus, and we present standard methods for determining finite total curvature periodic minimal surfaces and solving the period problems
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