Abstract
Tricubes are considered as elementary 3D neighbours used to generate digital planes. We present some properties of these tricubes and discuss about their characterization and coexistence in a digital naive plane.
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Ph. Borianne and J. Françon. Reversible polyhedrization of discrete volumes. In Proc. DCGI'4, pages 157–168, Grenoble,France, September 1994.
J.M. Chassery and A. Montanvert. Géométrie discrète en analyse d'images, page 456. Hermès, Paris, 1991.
I. Debled-Renesson. Etude et reconnaissance des droites et plans discrets. PhD thesis, University Louis Pasteur, Strasbourg, France, 1995.
I. Debled-Renesson and J.P. Reveillès. An incremental algorithm for digital plane recognition. In Proc. DCGI'4, pages 207–222, Grenoble,France, September 1994.
J. Françon. Arithmetic planes and combinatorial manifolds. In Proc. DCGI'5, pages 209–217, Clermont-Ferrand,France, September 1995.
J. Françon. On recent trends in discrete geometry in computer science. In Lecture Notes in Computer Science, volume 1176, pages 3–16. S. Miguet, A. Montanvert and S. Ubéda Eds, Springer, 1996.
J. Françon. Sur la topologie d'un plan arithmétique. In Theorical Computer Science, volume 156, pages 159–176. Elsevier, 1996.
J. Françon, J.M. Schramm, and M. Tajine. Recognizing arithmetic straight lines and planes. In Lecture Notes in Computer Science, volume 1176, pages 141–150. S. Miguet, A. Montanvert and S. Ubéda Eds, Springer, 1996.
J.P. Reveillès. Combinatorial pieces in digital lines and planes. In Vision Geometry IV, volume 2573. SPIE, 1995.
J.M. Schramm. Tricubes coplanaires. Technical report, University of Strasbourg, France, Fev. 1997.
A. Saoudi, M. Nivat, and P.S.P. Wang(Eds.). Parallel image processing. In International journal of pattern recognition and artificial intelligence, volume 6. WSP, 1992.
P.S.P. Wang(Ed.). Array grammars, patterns and recognizers. In International journal of pattern recognition and artificial intelligence, volume 3. WSP, 1989.
P.S.P. Wang. Parallel image analysis: proceedings. In ICPIA'92, Lecture Notes in Computer Science, volume 654. A. Nakamura, M. Nivat, A. Saoudi, P.S.P. Wang and K. Inoue (Eds.), Springer, 1992.
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Vittone, J., Chassery, J.M. (1997). Coexistence of tricubes in digital naive plane. In: Ahronovitz, E., Fiorio, C. (eds) Discrete Geometry for Computer Imagery. DGCI 1997. Lecture Notes in Computer Science, vol 1347. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0024833
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DOI: https://doi.org/10.1007/BFb0024833
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