{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T03:03:25Z","timestamp":1725505405546},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540782742"},{"type":"electronic","value":"9783540782759"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-78275-9_5","type":"book-chapter","created":{"date-parts":[[2008,3,17]],"date-time":"2008-03-17T12:04:12Z","timestamp":1205755452000},"page":"51-62","source":"Crossref","is-referenced-by-count":3,"title":["Weighted Neighborhood Sequences in Non-standard Three-Dimensional Grids \u2013 Parameter Optimization"],"prefix":"10.1007","author":[{"given":"Robin","family":"Strand","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Benedek","family":"Nagy","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5_CR1","doi-asserted-by":"publisher","first-page":"344","DOI":"10.1016\/S0734-189X(86)80047-0","volume":"34","author":"G. Borgefors","year":"1986","unstructured":"Borgefors, G.: Distance transformations in digital images. Computer Vision, Graphics, and Image Processing\u00a034, 344\u2013371 (1986)","journal-title":"Computer Vision, Graphics, and Image Processing"},{"key":"5_CR2","unstructured":"Carr, H., Theussl, T., M\u00f6ller, T.: Isosurfaces on optimal regular samples. In: Bonneau, G.-P., Hahmann, S., Hansen, C. (eds.) Proceedings of the symposium on Data visualisation 2003, Eurographics Association, pp. 39\u201348 (2003)"},{"issue":"5","key":"5_CR3","doi-asserted-by":"publisher","first-page":"561","DOI":"10.1016\/j.patrec.2003.12.002","volume":"25","author":"D. Coeurjolly","year":"2004","unstructured":"Coeurjolly, D., Miguet, S., Tougne, L.: 2D and 3D visibility in discrete geometry: an application to discrete geodesic paths. Pattern Recognition Letters\u00a025(5), 561\u2013570 (2004)","journal-title":"Pattern Recognition Letters"},{"key":"5_CR4","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1016\/0020-0255(90)90008-X","volume":"50","author":"P.P. Das","year":"1990","unstructured":"Das, P.P., Chatterji, B.N.: Octagonal distances for digital pictures. Information Sciences\u00a050, 123\u2013150 (1990)","journal-title":"Information Sciences"},{"key":"5_CR5","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1016\/0021-9045(92)90090-B","volume":"68","author":"P.P. Das","year":"1992","unstructured":"Das, P.P.: Best simple octagonal distances in digital geometry. Journal of Approximation Theory\u00a068, 155\u2013174 (1992)","journal-title":"Journal of Approximation Theory"},{"issue":"9","key":"5_CR6","doi-asserted-by":"publisher","first-page":"2453","DOI":"10.1016\/j.patcog.2007.01.001","volume":"40","author":"C. Fouard","year":"2007","unstructured":"Fouard, C., Strand, R., Borgefors, G.: Weighted distance transforms generalized to modules and their computation on point lattices. Pattern Recognition\u00a040(9), 2453\u20132474 (2007)","journal-title":"Pattern Recognition"},{"key":"5_CR7","unstructured":"Hajdu, A., Nagy, B.: Approximating the Euclidean circle using neighbourhood sequences. In: Proceedings of 3\n                    rd\n                   Hungarian Conference on Image Processing, Domasz\u00e9k, pp. 260\u2013271 (2002)"},{"key":"5_CR8","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/j.disc.2003.12.016","volume":"283","author":"A. Hajdu","year":"2004","unstructured":"Hajdu, A., Hajdu, L.: Approximating the Euclidean distance using non-periodic neighbourhood sequences. Discrete Mathematics\u00a0283, 101\u2013111 (2004)","journal-title":"Discrete Mathematics"},{"key":"5_CR9","volume-title":"Digital Geometry: Geometric Methods for Digital Image Analysis","author":"R. Klette","year":"2004","unstructured":"Klette, R., Rosenfeld, A.: Digital Geometry: Geometric Methods for Digital Image Analysis (The Morgan Kaufmann Series in Computer Graphics). Morgan Kaufmann, San Francisco (2004)"},{"issue":"4","key":"5_CR10","doi-asserted-by":"publisher","first-page":"1361","DOI":"10.1109\/23.467854","volume":"42","author":"S. Matej","year":"1995","unstructured":"Matej, S., Lewitt, R.M.: Efficient 3D grids for image reconstruction using spherically-symmetric volume elements. IEEE Transactions on Nuclear Science\u00a042(4), 1361\u20131370 (1995)","journal-title":"IEEE Transactions on Nuclear Science"},{"key":"5_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/11774938_8","volume-title":"Combinatorial Image Analysis","author":"B. Nagy","year":"2006","unstructured":"Nagy, B., Strand, R.: Approximating Euclidean distance using distances based on neighbourhood sequences in non-standard three-dimensional grids. In: Reulke, R., Eckardt, U., Flach, B., Knauer, U., Polthier, K. (eds.) IWCIA 2006. LNCS, vol.\u00a04040, pp. 89\u2013100. Springer, Heidelberg (2006)"},{"issue":"4","key":"5_CR12","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1145\/321356.321357","volume":"13","author":"A. Rosenfeld","year":"1966","unstructured":"Rosenfeld, A., Pfaltz, J.L.: Sequential operations in digital picture processing. Journal of the ACM\u00a013(4), 471\u2013494 (1966)","journal-title":"Journal of the ACM"},{"key":"5_CR13","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1016\/0031-3203(68)90013-7","volume":"1","author":"A. Rosenfeld","year":"1968","unstructured":"Rosenfeld, A., Pfaltz, J.L.: Distance functions on digital pictures. Pattern Recognition\u00a01, 33\u201361 (1968)","journal-title":"Pattern Recognition"},{"issue":"3","key":"5_CR14","doi-asserted-by":"publisher","first-page":"294","DOI":"10.1016\/j.cviu.2005.04.006","volume":"100","author":"R. Strand","year":"2005","unstructured":"Strand, R., Borgefors, G.: Distance transforms for three-dimensional grids with non-cubic voxels. Computer Vision and Image Understanding\u00a0100(3), 294\u2013311 (2005)","journal-title":"Computer Vision and Image Understanding"},{"issue":"4","key":"5_CR15","doi-asserted-by":"publisher","first-page":"548","DOI":"10.1016\/j.dam.2006.09.005","volume":"155","author":"R. Strand","year":"2007","unstructured":"Strand, R., Nagy, B.: Distances based on neighbourhood sequences in non-standard three-dimensional grids. Discrete Applied Mathematics\u00a0155(4), 548\u2013557 (2007)","journal-title":"Discrete Applied Mathematics"},{"key":"5_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"452","DOI":"10.1007\/978-3-540-73040-8_46","volume-title":"Image Analysis","author":"R. Strand","year":"2007","unstructured":"Strand, R.: Weighted distances based on neighbourhood sequences in non-standard three-dimensional grids. In: Ersb\u00f8ll, B.K., Pedersen, K.S. (eds.) SCIA 2007. LNCS, vol.\u00a04522, pp. 452\u2013461. Springer, Heidelberg (2007)"},{"key":"5_CR17","doi-asserted-by":"crossref","unstructured":"Strand, R., Stelldinger, P.: Topology preserving marching cubes-like algorithms on the face-centered cubic grid. In: Proceedings of 14th International Conference on Image Analysis and Processing (ICIAP 2007), Modena, Italy, pp. 781\u2013788 (2007)","DOI":"10.1109\/ICIAP.2007.4362871"},{"key":"5_CR18","doi-asserted-by":"crossref","unstructured":"Strand, R., Malmberg, F., Svensson, S.: Minimal cost-path for path-based distances. In: Petrou, M., Saram\u00e4ki, T., Er\u00e7il, A., Loncaric, S. (eds.), Proceedings of 5\n                    th\n                   International Symposium on Image and Signal Processing and Analysis (ISPA 2007), pp. 379\u2013384. Istanbul, Turkey (2007)","DOI":"10.1109\/ISPA.2007.4383723"},{"issue":"15","key":"5_CR19","doi-asserted-by":"publisher","first-page":"2029","DOI":"10.1016\/j.patrec.2007.05.016","volume":"28","author":"R. Strand","year":"2007","unstructured":"Strand, R.: Weighted distances based on neighbourhood sequences. Pattern Recognition Letters\u00a028(15), 2029\u20132036 (2007)","journal-title":"Pattern Recognition Letters"},{"key":"5_CR20","unstructured":"Nagy, B., Strand, R.: Weighted neighbourhood sequences in non-standard three-dimensional grids \u2013 metricity and algorithms, DGCI 2008 (accepted, 2008)"},{"issue":"4","key":"5_CR21","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1109\/34.19041","volume":"11","author":"B.J.H. Verwer","year":"1989","unstructured":"Verwer, B.J.H., Verbeek, P.W., Dekker, S.T.: An efficient uniform cost algorithm applied to distance transforms. IEEE Transactions on Pattern Analysis and Machine Intelligence\u00a011(4), 425\u2013429 (1989)","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"11","key":"5_CR22","doi-asserted-by":"publisher","first-page":"671","DOI":"10.1016\/0167-8655(91)90004-6","volume":"12","author":"B.J.H. Verwer","year":"1991","unstructured":"Verwer, B.J.H.: Local distances for distance transformations in two and three dimensions. Pattern Recognition Letters\u00a012(11), 671\u2013682 (1991)","journal-title":"Pattern Recognition Letters"},{"issue":"3","key":"5_CR23","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/0031-3203(86)90014-2","volume":"19","author":"M. Yamashita","year":"1986","unstructured":"Yamashita, M., Ibaraki, T.: Distances defined by neighborhood sequences. Pattern Recognition\u00a019(3), 237\u2013246 (1986)","journal-title":"Pattern Recognition"}],"container-title":["Lecture Notes in Computer Science","Combinatorial Image Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-78275-9_5.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T07:04:18Z","timestamp":1619507058000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-78275-9_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540782742","9783540782759"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-78275-9_5","relation":{},"subject":[]}}