{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T17:28:04Z","timestamp":1767374884470},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2014,5,8]],"date-time":"2014-05-08T00:00:00Z","timestamp":1399507200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Found Comput Math"],"published-print":{"date-parts":[[2014,12]]},"DOI":"10.1007\/s10208-014-9202-3","type":"journal-article","created":{"date-parts":[[2014,5,7]],"date-time":"2014-05-07T14:05:47Z","timestamp":1399471547000},"page":"1173-1208","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Low Complexity Methods For Discretizing Manifolds Via Riesz Energy Minimization"],"prefix":"10.1007","volume":"14","author":[{"given":"S. V.","family":"Borodachov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D. P.","family":"Hardin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E. B.","family":"Saff","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,5,8]]},"reference":[{"key":"9202_CR1","doi-asserted-by":"crossref","unstructured":"J. Benedetto and M. Fickus, Finite normalized tight frames, Adv. Comput. Math.\u00a018 (2003), 357\u2013385.","DOI":"10.1023\/A:1021323312367"},{"key":"9202_CR2","doi-asserted-by":"crossref","unstructured":"J. L. Bentley, D. F. Stanat, and E. H. Williams, The complexity of finding fixed-radius near neighbors, Inform. Proc. Lett.,\u00a06(6) (1977), 209\u2013212.","DOI":"10.1016\/0020-0190(77)90070-9"},{"key":"9202_CR3","doi-asserted-by":"crossref","unstructured":"S.V. Borodachov, D. P. Hardin, and E.B. Saff, Asymptotics of best-packing on rectifiable sets, Proc. Amer. Math. Soc.,\u00a0135 (2007), 2369\u20132380.","DOI":"10.1090\/S0002-9939-07-08975-7"},{"key":"9202_CR4","doi-asserted-by":"crossref","unstructured":"S.V. Borodachov, D.P. Hardin, and E.B. Saff, Asymptotics for discrete weighted minimal Riesz energy problems on rectifiable sets, Trans. Amer. Math. Soc.,\u00a0360 (2008), 1559\u20131580.","DOI":"10.1090\/S0002-9947-07-04416-9"},{"key":"9202_CR5","doi-asserted-by":"crossref","unstructured":"M. Bowick, D.R. Nelson, and A. Travesset, Interacting topological defects in frozen topographies, Phys. Rev. B\u00a062 (2000), 8738\u20138751.","DOI":"10.1103\/PhysRevB.62.8738"},{"key":"9202_CR6","doi-asserted-by":"crossref","unstructured":"J.S. Brauchart, D.P. Hardin, and E.B. Saff, The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere, Contemp. Math.,\u00a0578 (2012), 31\u201361.","DOI":"10.1090\/conm\/578\/11483"},{"key":"9202_CR7","doi-asserted-by":"crossref","unstructured":"B. Chazelle, An improved algorithm for the fixed-radius neighbor problem, Inform. Proc. Lett.,\u00a016 (1983), 193\u2013198.","DOI":"10.1016\/0020-0190(83)90123-0"},{"key":"9202_CR8","doi-asserted-by":"crossref","unstructured":"J.H. Conway and N.J.A. Sloane, Sphere Packings, Lattices and Groups, Springer Verlag, New York: 3rd ed., 1999.","DOI":"10.1007\/978-1-4757-6568-7"},{"key":"9202_CR9","unstructured":"H. Federer, Geometric Measure Theory, Springer-Verlag, 1969."},{"key":"9202_CR10","unstructured":"H. Harbrecht, W.L. Wendland, and N. Zorii, On Riesz minimal energy problems, J. Math. Anal. Appl.,\u00a0393 (2012), no. 2, 397\u2013412."},{"key":"9202_CR11","unstructured":"D.P. Hardin and E.B. Saff, Minimal Riesz energy point configurations for rectifiable $$d$$ d -dimensional manifolds, Adv. Math.,\u00a0193 (2005), no. 1, 174\u2013204."},{"key":"9202_CR12","doi-asserted-by":"crossref","unstructured":"D. P. Hardin, E. B. Saff, and J. T. Whitehouse, Quasi-uniformity of minimal weighted energy points, J. Complexity\u00a028 (2012), 177\u2013191.","DOI":"10.1016\/j.jco.2011.10.009"},{"key":"9202_CR13","unstructured":"A.B.J. Kuijlaars and E.B. Saff, Asymptotics for minimal discrete energy on the sphere, Trans. Amer. Math. Soc.\u00a0350 (1998), no. 2, 523\u2013538."},{"key":"9202_CR14","doi-asserted-by":"crossref","unstructured":"A. Martinez-Finkelshtein, V. Maymeskul, E. A. Rakhmanov, and E.B. Saff, Asymptotics for minimal discrete Riesz energy on curves in $$R^d$$ R d , Canad. J. Math.,\u00a056 (2004), 529\u2013552.","DOI":"10.4153\/CJM-2004-024-1"},{"key":"9202_CR15","doi-asserted-by":"crossref","unstructured":"P. Mattila, Geometry of Sets and Measures in Euclidean Space, Cambridge University Press, 1995.","DOI":"10.1017\/CBO9780511623813"},{"key":"9202_CR16","doi-asserted-by":"crossref","unstructured":"T.W. Melnyk, O. Knop, and W. R. Smith, Extremal arrangements of points and unit charges on a sphere: equilibrium configurations revisited, Canad. J. Chem.\u00a055 (1977), 1745\u20131761.","DOI":"10.1139\/v77-246"},{"key":"9202_CR17","doi-asserted-by":"crossref","unstructured":"I.H. Sloan and R.S. Womersley, Extremal systems of points and numerical integration on the sphere, Adv. Comp. Math.\u00a021 (2004), 102\u2013125.","DOI":"10.1023\/B:ACOM.0000016428.25905.da"}],"container-title":["Foundations of Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10208-014-9202-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10208-014-9202-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10208-014-9202-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T11:05:13Z","timestamp":1559127913000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10208-014-9202-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,5,8]]},"references-count":17,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2014,12]]}},"alternative-id":["9202"],"URL":"https:\/\/doi.org\/10.1007\/s10208-014-9202-3","relation":{},"ISSN":["1615-3375","1615-3383"],"issn-type":[{"value":"1615-3375","type":"print"},{"value":"1615-3383","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,5,8]]}}}