{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T08:38:36Z","timestamp":1762504716387,"version":"3.41.0"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1999,12,1]],"date-time":"1999-12-01T00:00:00Z","timestamp":944006400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1999,12,1]],"date-time":"1999-12-01T00:00:00Z","timestamp":944006400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Combinatorial Optimization"],"published-print":{"date-parts":[[1999,12]]},"DOI":"10.1023\/a:1009831621621","type":"journal-article","created":{"date-parts":[[2002,12,22]],"date-time":"2002-12-22T23:53:29Z","timestamp":1040601209000},"page":"453-463","source":"Crossref","is-referenced-by-count":47,"title":["Packing of Unequal Spheres and Automated Radiosurgical Treatment Planning"],"prefix":"10.1007","volume":"3","author":[{"given":"Jie","family":"Wang","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"244019_CR1","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1016\/0734-189X(88)90089-8","volume":"43","author":"C. Arcelli","year":"1992","unstructured":"C. Arcelli and G.S. di Baja, \"Ridge points in Euclidean distance maps,\" Computer Vision, Graphics, and Image Processing, vol. 43, pp. 361\u2013367, 1992.","journal-title":"Computer Vision, Graphics, and Image Processing"},{"key":"244019_CR2","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/0022-5193(73)90175-6","volume":"38","author":"H. Blum","year":"1973","unstructured":"H. Blum, \"Biological shape and visual science: part I,\" Journal of Theoretical Biology, vol. 38, pp. 205\u2013287, 1973.","journal-title":"Journal of Theoretical Biology"},{"key":"244019_CR3","unstructured":"J.D. Bourland, \"Personal communication,\" 1998."},{"key":"244019_CR4","doi-asserted-by":"crossref","unstructured":"J.D. Bourland and Q.R. Wu, \"Use of Shape for Automated, Optimized 3D Radiosurgical Treatment Planning,\" SPIE Proceedings of International Symposium on Medical Imaging, pp. 553\u2013558, 1996.","DOI":"10.1007\/BFb0046998"},{"key":"244019_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2016-7","volume-title":"Sphere Packings, Lattices and Groups","author":"J.H. Conway","year":"1988","unstructured":"J.H. Conway and N.J.A. Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag: New York, 1988."},{"key":"244019_CR6","volume-title":"Computer and Intractability","author":"M.R. Garey","year":"1979","unstructured":"M.R. Garey and D.S. Johnson, Computer and Intractability, W.H. Freeman and Company: New York, 1979."},{"key":"244019_CR7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02770863","volume":"17","author":"T.C. Hales","year":"1997","unstructured":"T.C. Hales, \"Sphere packings I,\" Discrete and Computational Geometry, vol. 17, pp. 1\u201351, 1997.","journal-title":"Discrete and Computational Geometry"},{"key":"244019_CR8","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1109\/34.56190","volume":"12","author":"B.K. Jang","year":"1990","unstructured":"B.K. Jang and R.T. Chin, \"Analysis of thinning algorithms using mathematical morphology,\" IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 12, pp. 541\u2013551, 1990.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"244019_CR9","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1006\/cgip.1994.1042","volume":"56","author":"T.-C. Lee","year":"1994","unstructured":"T.-C. Lee, R.L. Kashyap, and C.-N. Chu, \"Building skeleton models via 3D medial surface\/axis thinning algorithms,\" Graphical Models and Image Processing, vol. 56, pp. 462\u2013478, 1994.","journal-title":"Graphical Models and Image Processing"},{"key":"244019_CR10","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1112\/S0025579300013954","volume":"33","author":"J.H. Lindsey","year":"1986","unstructured":"J.H. Lindsey, \"Sphere-packing in R3,\" Mathematika, vol. 33, pp. 134\u2013147, 1986.","journal-title":"Mathematika"},{"key":"244019_CR11","doi-asserted-by":"crossref","first-page":"1228","DOI":"10.1109\/TASSP.1986.1164959","volume":"34","author":"P.A. Maragos","year":"1986","unstructured":"P.A. Maragos and R.W. Schafer, \"Morphological skeleton representation and coding of binary images,\" IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. ASSP-34, pp. 1228\u20131244, 1986.","journal-title":"IEEE Transactions on Acoustics, Speech, and Signal Processing"},{"key":"244019_CR12","doi-asserted-by":"crossref","first-page":"600","DOI":"10.1145\/321479.321486","volume":"15","author":"U. Montanari","year":"1968","unstructured":"U. Montanari, \"A method for obtaining skeleton using a quasi-Euclidean distance,\" Journal of Association for Computing Machinery, vol. 15, pp. 600\u2013624, 1968.","journal-title":"Journal of Association for Computing Machinery"},{"key":"244019_CR13","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1016\/1049-9652(92)90072-6","volume":"54","author":"J. Mullikin","year":"1992","unstructured":"J. Mullikin, \"The vector distance transform in two and three dimensions,\" Graphical Models and Image Processing, vol. 54, pp. 526\u2013535, 1992.","journal-title":"Graphical Models and Image Processing"},{"key":"244019_CR14","unstructured":"C.A. Rogers, Packing and Covering, Cambridge University Press, 1964."},{"key":"244019_CR15","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/0146-664X(81)90011-3","volume":"17","author":"Y.F. Tsao","year":"1981","unstructured":"Y.F. Tsao and K.S. Fu, \"A parallel thinning algorithm for 3D pictures,\" Computer Graphics and Image Processing, vol. 17, pp. 315\u2013331, 1981.","journal-title":"Computer Graphics and Image Processing"},{"key":"244019_CR16","doi-asserted-by":"crossref","first-page":"897","DOI":"10.1259\/0007-1285-60-717-897","volume":"60","author":"L. Walton","year":"1987","unstructured":"L.Walton, C.K. Bomford, and D. Ramsden, \"The sheffield stereotactic radiosurgery unit: Physical characteristics and principles of operation,\" The British Journal of Radiology, vol. 60, pp. 897\u2013960, 1987.","journal-title":"The British Journal of Radiology"},{"key":"244019_CR17","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/S1042-3680(18)30681-8","volume":"3","author":"A. Wu","year":"1992","unstructured":"A. Wu, \"Physics and dosimetry of the gamma knife,\" Neurosurgery Clinics of North America, vol. 3, pp. 35\u201350, 1992.","journal-title":"Neurosurgery Clinics of North America"},{"key":"244019_CR18","unstructured":"Q.R. Wu, \"Treatment planning optimization for gamma unit radiosurgery,\" PhD Thesis, The Mayo Graduate School, 1996."}],"container-title":["Journal of Combinatorial Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1009831621621.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1009831621621\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1009831621621.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,30]],"date-time":"2025-06-30T11:12:43Z","timestamp":1751281963000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1009831621621"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,12]]},"references-count":18,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1999,12]]}},"alternative-id":["244019"],"URL":"https:\/\/doi.org\/10.1023\/a:1009831621621","relation":{},"ISSN":["1382-6905","1573-2886"],"issn-type":[{"type":"print","value":"1382-6905"},{"type":"electronic","value":"1573-2886"}],"subject":[],"published":{"date-parts":[[1999,12]]}}}