On Limit Properties in Digitization Schemes, Journal of the ACM, vol.17, issue.2, p.348360, 1970. ,
DOI : 10.1145/321574.321588
Géométrie discrète en imagerie, 1987. ,
Digital Topology, The American Mathematical Monthly, vol.86, issue.8, p.621630, 1979. ,
DOI : 10.2307/2321290
Ecient algorithms for 3d scan-conversion of parametric curves, surfaces, and volumes, Proc. 14th SIGGRAPH, p.171179, 1987. ,
Ecient algorithms for scan-converting 3d polygons, Computers & Graphics, vol.12, issue.2, p.213219, 1988. ,
Three-Dimensional Digital Line Segments, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.5, issue.2, p.231234, 1983. ,
DOI : 10.1109/TPAMI.1983.4767379
Best approximate circles on integer grids, ACM Transactions on Graphics, vol.2, issue.4, p.237263, 1983. ,
DOI : 10.1145/245.246
Getting raster ellipses right, ACM Transactions on Graphics, vol.11, issue.3, p.259275, 1992. ,
DOI : 10.1145/130881.130892
Rasterizing algebraic curves and surfaces, IEEE Computer Graphics and Applications, vol.14, issue.2, p.1422, 1994. ,
DOI : 10.1109/38.267467
Discrete Combinatorial Surfaces, Graphical Models and Image Processing, vol.57, issue.1, p.2026, 1995. ,
DOI : 10.1006/gmip.1995.1003
Discrete multidimensional jordan surfaces, CVGIP, vol.54, issue.6, p.507515, 1992. ,
Surfaces in three-dimensional digital images, Information and Control, vol.51, issue.3, p.227247, 1981. ,
DOI : 10.1016/S0019-9958(81)90290-4
Digital topology: Introduction and survey, CVGIP, vol.48, issue.3, p.357393, 1989. ,
Finite topology and image analysis, Adv. in Electronics and Electron Physics, vol.84, 1992. ,
Dening discrete objects for polygonalization: The standard model, 10th DGCI, p.313325, 2002. ,
Discrete linear objects in dimension n: the standard model, Graphical Models, vol.65, issue.1-3, p.111, 2003. ,
DOI : 10.1016/S1524-0703(03)00004-3
URL : https://hal.archives-ouvertes.fr/hal-00354729
Fundamentals of Surface Voxelization, Graphical Models and Image Processing, vol.57, issue.6, p.453461, 1995. ,
DOI : 10.1006/gmip.1995.1039
Insight in discrete geometry and computational content of a discrete model of the continuum, Pattern Recognition, vol.42, issue.10, p.22202228, 2009. ,
DOI : 10.1016/j.patcog.2008.12.005
URL : https://hal.archives-ouvertes.fr/hal-00347900
Calcul en Nombres Entiers et Algorithmique, 1991. ,
Back and forth between continuous and discrete for the working computer scientist, Annals of Mathematics and Artificial Intelligence, vol.11, issue.3, pp.16-89152, 1996. ,
DOI : 10.1007/BF02127796
Algorithm for computer control of a digital plotter, IBM Systems Journal, vol.4, issue.1, p.2530, 1965. ,
DOI : 10.1147/sj.41.0025
A linear algorithm for incremental digital display of circular arcs, Commun. ACM, vol.20, issue.2, p.100106, 1977. ,
The discrete analytical hyperspheres, IEEE Transactions on Visualization and Computer Graphics, vol.3, issue.1, p.7586, 1997. ,
DOI : 10.1109/2945.582354
Discrete Analytical Hyperplanes, Graphical Models and Image Processing, vol.59, issue.5, p.302309, 1997. ,
DOI : 10.1006/gmip.1997.0427
Analytical Description of Digital Circles, LNCS, vol.6607, pp.16-235246, 2011. ,
DOI : 10.1007/978-3-642-19867-0_20
URL : https://hal.archives-ouvertes.fr/hal-00713670
Graceful Planes and Thin Tunnel-Free Meshes, LNCS, vol.1568, p.5364, 1999. ,
DOI : 10.1007/3-540-49126-0_5
A new approach to digital planes, In: SPIE Vision Geometry III, p.2356, 1994. ,
A Generic Approach for n-Dimensional Digital Lines, LNCS, vol.4245, pp.13-2940, 2006. ,
DOI : 10.1007/11907350_3
A contribution to 3d digital lines, 5th DGCI, p.187198, 1995. ,
Discrete circles: an arithmetical approach with non-constant thickness, Vision Geometry XIV, pp.6066-112, 2006. ,
DOI : 10.1117/12.642976
URL : https://hal.archives-ouvertes.fr/hal-00580556
Incremental triangle voxelization, Proc. Graphics Interface, p.205212, 2000. ,
Digital circles, spheres and hyperspheres: From morphological models to analytical characterizations and topological properties, Discrete Applied Mathematics, vol.161, issue.16-17, pp.16-17, 2013. ,
DOI : 10.1016/j.dam.2013.06.001
URL : https://hal.archives-ouvertes.fr/hal-00857691
Implicit Digital Surfaces in Arbitrary Dimensions, LNCS, vol.8668, pp.18-332343, 2014. ,
DOI : 10.1007/978-3-319-09955-2_28
URL : https://hal.archives-ouvertes.fr/hal-01141695
The supercover of an m-flat is a discrete analytical object, Theoretical Computer Science, vol.406, issue.1-2, p.814, 2008. ,
DOI : 10.1016/j.tcs.2008.07.025
URL : https://hal.archives-ouvertes.fr/hal-00354197
Morphological image operators, 1994. ,
Surface digitizations by dilations which are tunnel-free, Discrete Applied Mathematics, vol.125, issue.1, p.8191, 2003. ,
Hausdor discretization for cellular distances and its relation to cover and supercover discretizations, J. Visual Communication and Image Representation, vol.12, issue.2, p.169200, 2001. ,
Topological properties of Hausdorff discretization, and comparison to other discretization schemes, Theoretical Computer Science, vol.283, issue.1, p.243, 2002. ,
DOI : 10.1016/S0304-3975(01)00082-2
Digitization of non-regular shapes in arbitrary dimensions, Image and Vision Computing, vol.26, issue.10, p.13381346, 2008. ,
DOI : 10.1016/j.imavis.2007.07.013
Digital straightness???a review, Discrete Applied Mathematics, vol.139, issue.1-3, 2004. ,
DOI : 10.1016/j.dam.2002.12.001
Linguistic Methods for the Description of a Straight Line on a Grid, Computer Graphics and Image Processing, vol.3, issue.1, p.4862, 1974. ,
DOI : 10.1016/0146-664X(74)90010-0
Sequences with minimal block growth, Mathematical Systems Theory, vol.62, issue.2, p.138153, 1973. ,
DOI : 10.1007/BF01762232
Quasi-ane transformation in 3-d: Theory and algorithms, Combinatorial Image Analysis. LNCS, vol.5852, p.6881, 2009. ,
Minimal arithmetic thickness connecting discrete planes, Discrete Applied Mathematics, vol.157, issue.3, p.500509, 2009. ,
DOI : 10.1016/j.dam.2008.05.027
URL : https://hal.archives-ouvertes.fr/hal-00579872
Critical Connectedness of Thin Arithmetical Discrete Planes, LNCS, vol.7749, 2013. ,
DOI : 10.1007/978-3-642-37067-0_10
Digital planarity???A review, Discrete Applied Mathematics, vol.155, issue.4, p.468495, 2007. ,
DOI : 10.1016/j.dam.2006.08.004
URL : https://hal.archives-ouvertes.fr/hal-00185059
Tunnel-Free Supercover 3D Polygons and Polyhedra, Eurographics '97, pp.3-13, 1997. ,
DOI : 10.1111/1467-8659.00154_16_3
Supercover of straight lines, planes and triangles, LNCS, vol.1347, pp.7-243253, 1997. ,
DOI : 10.1007/BFb0024845
Graceful planes and lines, Theoretical Computer Science, vol.283, issue.1, p.151170, 2002. ,
DOI : 10.1016/S0304-3975(01)00061-5
Connectivity of discrete planes, Theoretical Computer Science, vol.319, issue.1-3, pp.1-3, 2004. ,
DOI : 10.1016/j.tcs.2004.02.015
Arithmetic planes and combinatorial manifolds In: 5th DGCI, Clermont-Ferrand (France), p.209217, 1995. ,
Remarques sur les intégrales dénies, Journal de Mathématiques, pp.4-1892 ,
Grid intersect quantization schemes for solid object digitization, Computer Graphics and Image Processing, vol.8, issue.1, p.42, 1978. ,
DOI : 10.1016/S0146-664X(78)80029-X
Pedagogic discrete visualization of electromagnetic waves, Eurographics Interactive Demos and Posters, vol.123, p.126, 2003. ,
Etude et reconnaissance des droites et plans discrets, 1995. ,
An arithmetic and combinatorial approach to threedimensional discrete lines, LNCS, vol.6607, pp.16-4758, 2011. ,
An arithmetic and combinatorial approach to threedimensional discrete lines, LNCS, vol.6607, pp.16-4758, 2011. ,
Segmentation of Discrete Curves into Fuzzy Segments, Electronic Notes in Discrete Mathematics, vol.12, p.372383, 2003. ,
DOI : 10.1016/S1571-0653(04)00500-1
URL : https://hal.archives-ouvertes.fr/inria-00107709
Generalized Perpendicular Bisector and exhaustive discrete circle recognition, Graphical Models, vol.73, issue.6, p.354364, 2011. ,
DOI : 10.1016/j.gmod.2011.06.005
URL : https://hal.archives-ouvertes.fr/hal-00713705
Introduction to Digital Level Layers, LNCS, vol.6607, pp.16-8394, 2011. ,
DOI : 10.1007/978-3-642-19867-0_7
Sur la topologie d'un plan arithm??tique, Theoretical Computer Science, vol.156, issue.1-2, p.159176, 1996. ,
DOI : 10.1016/0304-3975(95)00059-3
Object discretizations in higher dimensions, Pattern Recognition Letters, vol.23, issue.6, p.623636, 2002. ,
On Connectivity of Discretized 2D Explicit Curve, Mathematical Progress in Expressive Image Synthesis, Symposium MEIS2014 (Japan), p.1625, 2014. ,
DOI : 10.1007/978-4-431-55483-7_4