{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,18]],"date-time":"2025-01-18T05:04:38Z","timestamp":1737176678201,"version":"3.33.0"},"publisher-location":"Berlin, Heidelberg","reference-count":21,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540413967"},{"type":"electronic","value":"9783540444381"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2000]]},"DOI":"10.1007\/3-540-44438-6_18","type":"book-chapter","created":{"date-parts":[[2007,6,9]],"date-time":"2007-06-09T18:43:17Z","timestamp":1181414597000},"page":"210-221","source":"Crossref","is-referenced-by-count":6,"title":["Object Discretization in Higher Dimensions"],"prefix":"10.1007","author":[{"given":"Valentin E.","family":"Brimkov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eric","family":"Andres","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Reneta P.","family":"Barneva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2001,6,1]]},"reference":[{"key":"18_CR1","series-title":"TR","volume-title":"An m-Flat Supercover is a Discrete Analytical Object","author":"E. Andres","year":"1998","unstructured":"Andres, E.: An m-Flat Supercover is a Discrete Analytical Object. TR 1998\u201307, IRCOM-SIC, Universit\u00e9 de Poitiers, Bat. SP2MI-BP. 179, F-86960 Futuroscope C\u00e9dex-FRANCE (1998) 210, 212"},{"key":"18_CR2","series-title":"TR","volume-title":"Standard Cover: a New Class of Discrete Primitives","author":"E. Andres","year":"1998","unstructured":"Andres, E.: Standard Cover: a New Class of Discrete Primitives. TR 1998\u201302, IRCOM-SIC, Universit\u00e9 de Poitiers, Bat. SP2MI-BP. 179, F-86960 Futuroscope C\u00e9dex-FRANCE (1998) 210, 211, 217, 219, 220"},{"issue":"5","key":"18_CR3","doi-asserted-by":"publisher","first-page":"302","DOI":"10.1006\/gmip.1997.0427","volume":"59","author":"E. Andres","year":"1997","unstructured":"Andres, E., Acharya, R., Sibata, C.: Discrete Analytical Hyperplanes. Graphical Models and Image Processing, 59 (5) (1997) 302\u2013309 210, 217, 220","journal-title":"Graphical Models and Image Processing"},{"issue":"1\u20132","key":"18_CR4","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1016\/S0304-3975(98)00346-6","volume":"264","author":"R. P. Barneva","year":"2000","unstructured":"Barneva, R. P., Brimkov, V. E., Nehlig, P.: Thin Discrete Triangular Meshes. Theoretical Computer Science 264 (1\u20132) (2000) 73\u2013105 218","journal-title":"Theoretical Computer Science"},{"key":"18_CR5","unstructured":"Bresenham, J. E.: Algorithms for Computer Control of a Digital Plotter. IBM Syst. J., 4 (1) (1965) 25\u201330 217"},{"key":"18_CR6","unstructured":"Brimkov, V. E., Barneva, R. P.: Graceful Planes and Lines, Theoretical Computer Science, Elsevier, to appear 218"},{"key":"18_CR7","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/978-1-4471-0737-8_3","volume-title":"Volume Graphics","author":"V. E. Brimkov","year":"2000","unstructured":"Brimkov, V. E., Barneva, R. P., Nehlig, P.: Minimally Thin Discrete Triangulations. In: Volume Graphics, M. Chen, A. Kaufman, R. Yagel (Eds.), Springer Verlag (2000) 51\u201370 218"},{"key":"18_CR8","series-title":"Lect Notes Comput Sci","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/3-540-49126-0_18","volume-title":"A Model for Digital Topology","author":"G. Bertrand","year":"1999","unstructured":"Bertrand, G., Couprie, M.: A Model for Digital Topology. Lecture Notes in Computer Science, Vol. 1568, Springer-Verlag, Berlin (1999) 229\u2013241 211"},{"key":"18_CR9","unstructured":"Cohen, D., Kaufman, A.: Fundamentals in Surface Voxelization. CGVIP Graphical Models and Image Processing, 57 (6) (1995) 211, 212"},{"key":"18_CR10","doi-asserted-by":"crossref","unstructured":"Debled-Rennesson, I., Reveill\u00e8s, J-P.: A new approach to digital planes. In: SPIE Vision Geometry III, Boston 2356 1994 217","DOI":"10.1117\/12.198607"},{"key":"18_CR11","unstructured":"Figueiredo, O., Reveill\u00e8s, J-P.: A Contribution to 3D Digital Lines. In: Proc. the 5th Internat. Workshop DGCI, Clermont-Ferrand (1995) 187\u2013198 217"},{"key":"18_CR12","doi-asserted-by":"crossref","unstructured":"Fran\u00e7on, J.: Discrete Combinatorial Surfaces. CGVIP Graphical Models and Image Processing, 57 (1995) 217","DOI":"10.1006\/gmip.1995.1003"},{"key":"18_CR13","unstructured":"Kaufman, A., Shimony, E.: 3D Schan-Conversion Algorithms for Voxel-Based Graphics. In: Proc. 1986 Workshop on Interactive 3D Graphics, Chapel Hill, NC, ACM, New York (1986) 45\u201375 217"},{"key":"18_CR14","doi-asserted-by":"publisher","first-page":"901","DOI":"10.2307\/2324147","volume":"38","author":"T. Y. Kong","year":"1991","unstructured":"Kong, T. Y., Kopperman, R., Meyer, P. R.: A Topological Approach to Digital Topology. American Mathematical Monthly, 38 (1991) 901\u2013917 211","journal-title":"American Mathematical Monthly"},{"key":"18_CR15","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1016\/0734-189X(89)90147-3","volume":"48","author":"T. Y. Kong","year":"1989","unstructured":"Kong, T. Y., Rosenfeld, A.: Digital Topology: Introduction and Survey. Computer Vision, Graphics, and Image Processing 48 (1989) 357\u2013393 211","journal-title":"Computer Vision, Graphics, and Image Processing"},{"key":"18_CR16","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/0734-189X(89)90165-5","volume":"46","author":"V. A. Kovalevsky","year":"1989","unstructured":"Kovalevsky, V. A.: Finite Topology as Applied to Image Analysis. Computer Vision, Graphics, and Image Processing 46 (1989) 141\u2013161 211","journal-title":"Computer Vision, Graphics, and Image Processing"},{"key":"18_CR17","unstructured":"Reveill\u00e8s, J.-P.: G\u00e9om\u00e9trie Discr\u00e9te, Calcul en Nombres Entiers et Algorithmique. Th\u00e8se d\u2019\u00c9tat, Universit\u00e9 Louis Pasteur, Strasbourg, France (1991) 211, 217, 220"},{"key":"18_CR18","first-page":"197","volume":"119","author":"I. Stojmenovic","year":"1991","unstructured":"Stojmenovic, I., Tosic, R.: Digitization Schemes and the Recognition of Digital Straight Lines, Hyperplanes and Flats in Arbitrary Dimensions. Digital Geometry. Contemporary Math. Series, Amer. Math. Soc. Providence, RI 119 (1991) 197\u2013212 210, 217","journal-title":"Digital Geometry. Contemporary Math. Series, Amer. Math. Soc. Providence"},{"key":"18_CR19","series-title":"Lect Notes Comput Sci","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1007\/3-540-49126-0_31","volume-title":"Hausdorff Discretizations and its Comparison to Other Discretization Schemes","author":"M. Tajine","year":"1999","unstructured":"Tajine, M., Wagner, D., Ronse, C.: Hausdorff Discretizations and its Comparison to Other Discretization Schemes. Lecture Notes in Computer Science, Vol. 1568, Springer-Verlag, Berlin (1999) 399\u2013410 211, 217"},{"key":"18_CR20","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1007\/BF01250530","volume":"3","author":"P. Veerlaert","year":"1993","unstructured":"Veerlaert, P.: On the Flatness of Digital Hyperplanes. J. Math Imaging Vision 3 (1993) 205\u2013221 210, 217","journal-title":"J. Math Imaging Vision"},{"key":"18_CR21","unstructured":"Wagner, D., Tajine, M., Ronse, C.: An Approach to Discretization Based on Hausdorff Metric. ISMM\u201998, Kluwer Academic Publisher (1998) 67\u201374 211, 217"}],"container-title":["Lecture Notes in Computer Science","Discrete Geometry for Computer Imagery"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-44438-6_18","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,17]],"date-time":"2025-01-17T04:36:40Z","timestamp":1737088600000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-44438-6_18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000]]},"ISBN":["9783540413967","9783540444381"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/3-540-44438-6_18","relation":{},"ISSN":["0302-9743"],"issn-type":[{"type":"print","value":"0302-9743"}],"subject":[],"published":{"date-parts":[[2000]]}}}