{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T04:20:22Z","timestamp":1743049222458,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":21,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642022555"},{"type":"electronic","value":"9783642022562"}],"license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009]]},"DOI":"10.1007\/978-3-642-02256-2_55","type":"book-chapter","created":{"date-parts":[[2009,5,22]],"date-time":"2009-05-22T23:49:42Z","timestamp":1243036182000},"page":"660-671","source":"Crossref","is-referenced-by-count":0,"title":["Optimization of Convex Shapes: An Approach to Crystal Shape Identification"],"prefix":"10.1007","author":[{"given":"Timo","family":"Eirola","sequence":"first","affiliation":[]},{"given":"Toni","family":"Lassila","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"55_CR1","volume-title":"Shapes and geometries - analysis, differential calculus, and optimization","author":"M. Delfour","year":"2001","unstructured":"Delfour, M., Zol\u00e9sio, J.P.: Shapes and geometries - analysis, differential calculus, and optimization. SIAM, Philadelphia (2001)"},{"key":"55_CR2","volume-title":"Introduction to shape optimization: shape sensitivity analysis","author":"J. Sokolowski","year":"2003","unstructured":"Sokolowski, J., Zol\u00e9sio, J.P.: Introduction to shape optimization: shape sensitivity analysis. Springer, Heidelberg (2003)"},{"issue":"5-6","key":"55_CR3","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1023\/A:1021416630479","volume":"129","author":"V. Tsepelin","year":"2002","unstructured":"Tsepelin, V., Alles, H., Babkin, A., Jochemsen, R., Parshin, A., Todoshchenko, I., Tvalashvili, G.: Morphology and growth kinetics of 3He crystals below 1 mK. J. Low Temp. Phys.\u00a0129(5-6), 489\u2013530 (2002)","journal-title":"J. Low Temp. Phys."},{"issue":"2","key":"55_CR4","first-page":"343","volume":"4","author":"G. Buttazzo","year":"1997","unstructured":"Buttazzo, G., Guasoni, P.: Shape optimization problems over classes of convex domains. J. Convex Anal.\u00a04(2), 343\u2013351 (1997)","journal-title":"J. Convex Anal."},{"issue":"1","key":"55_CR5","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00211-008-0176-4","volume":"111","author":"N. Aguilera","year":"2008","unstructured":"Aguilera, N., Morin, P.: Approximating optimization problems over convex functions. Numer. Math.\u00a0111(1), 1\u201334 (2008)","journal-title":"Numer. Math."},{"key":"55_CR6","first-page":"265","volume":"10","author":"G. Carlier","year":"2003","unstructured":"Carlier, G., Lachand-Robert, T.: Convex bodies of optimal shape. J. Convex Anal.\u00a010, 265\u2013273 (2003)","journal-title":"J. Convex Anal."},{"key":"55_CR7","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1007\/PL00005446","volume":"88","author":"G. Carlier","year":"2001","unstructured":"Carlier, G., Lachand-Robert, T., Maury, B.: A numerical approach to variational problems subject to convexity constraint. Numer. Math.\u00a088, 299\u2013318 (2001)","journal-title":"Numer. Math."},{"key":"55_CR8","doi-asserted-by":"crossref","unstructured":"Carlier, G., Lachand-Robert, T., Maury, B.: H 1-projection into set of convex functions: A saddle point formulation. In: ESAIM: Proc., vol.\u00a010, pp. 277\u2013290 (2001)","DOI":"10.1051\/proc:2001017"},{"issue":"2","key":"55_CR9","doi-asserted-by":"publisher","first-page":"368","DOI":"10.1137\/040608039","volume":"16","author":"T. Lachand-Robert","year":"2005","unstructured":"Lachand-Robert, T., Oudet, \u00c9.: Minimizing within convex bodies using a convex hull method. SIAM J. Optim.\u00a016(2), 368\u2013379 (2005)","journal-title":"SIAM J. Optim."},{"key":"55_CR10","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1007\/s00607-005-0119-1","volume":"76","author":"W. Hinterberger","year":"2006","unstructured":"Hinterberger, W., Scherzer, O.: Variational methods on the space of functions of bounded Hessian for convexification and denoising. Comput.\u00a076, 109\u2013133 (2006)","journal-title":"Comput."},{"issue":"9","key":"55_CR11","doi-asserted-by":"publisher","first-page":"1573","DOI":"10.1080\/03605309908821476","volume":"24","author":"L. Vese","year":"1999","unstructured":"Vese, L.: A method to convexify functions via curve evolution. Commun. Partial Differential Equations\u00a024(9), 1573\u20131591 (1999)","journal-title":"Commun. Partial Differential Equations"},{"key":"55_CR12","series-title":"Applied Mathematics Sciences","volume-title":"Level set methods and dynamic implicit surfaces","author":"S. Osher","year":"2002","unstructured":"Osher, S., Fedkiw, R.: Level set methods and dynamic implicit surfaces. Applied Mathematics Sciences, vol.\u00a0153. Springer, Heidelberg (2002)"},{"issue":"2","key":"55_CR13","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1017\/S0956792505006182","volume":"16","author":"M. Burger","year":"2005","unstructured":"Burger, M., Osher, S.: A survey on level set methods for inverse problems and optimal design. European Journal of Applied Mathematics\u00a016(2), 263\u2013301 (2005)","journal-title":"European Journal of Applied Mathematics"},{"issue":"2","key":"55_CR14","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1006\/gmip.1996.0011","volume":"58","author":"R. Malladi","year":"1996","unstructured":"Malladi, R., Sethian, J.: Image processing: flows under min\/max curvature and mean curvature. Graph. Models Image Process.\u00a058(2), 127\u2013141 (1996)","journal-title":"Graph. Models Image Process."},{"key":"55_CR15","doi-asserted-by":"publisher","first-page":"5957","DOI":"10.1088\/0305-4470\/27\/17\/027","volume":"27","author":"J. Wettlaufer","year":"1994","unstructured":"Wettlaufer, J., Jackson, M., Elbaum, M.: A geometric model for anisotropic crystal growth. J. Phys. A\u00a027, 5957\u20135967 (1994)","journal-title":"J. Phys. A"},{"key":"55_CR16","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1007\/s00205-005-0387-0","volume":"179","author":"G. Bellettini","year":"2005","unstructured":"Bellettini, G., Caselles, V., Chambolle, A., Novaga, M.: Crystalline mean curvature flow of convex sets. Arch. Ration. Mech. Anal.\u00a0179, 109\u2013152 (2005)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"55_CR17","doi-asserted-by":"publisher","first-page":"301","DOI":"10.4171\/IFB\/81","volume":"5","author":"M. Burger","year":"2003","unstructured":"Burger, M.: A framework for the construction of level set methods for shape optimization and reconstruction. Interfaces Free Bound\u00a05, 301\u2013329 (2003)","journal-title":"Interfaces Free Bound"},{"key":"55_CR18","unstructured":"Solem, J.: Variational problems and level set methods in computer vision - theory and applications. PhD thesis, Lund University (2006)"},{"key":"55_CR19","volume-title":"Geometric measure theory","author":"H. Federer","year":"1969","unstructured":"Federer, H.: Geometric measure theory. Springer, New York (1969)"},{"key":"55_CR20","doi-asserted-by":"crossref","unstructured":"Mitchell, I.: The flexible, extensible and efficient toolbox of level set methods. J. Sci. Comput. (2007) (online first)","DOI":"10.1007\/s10915-007-9174-4"},{"key":"55_CR21","doi-asserted-by":"crossref","unstructured":"Armijo, L.: Minimization of functions having Lipschitz continuous first partial derivatives. Pacific J. Math.\u00a016(1) (1966)","DOI":"10.2140\/pjm.1966.16.1"}],"container-title":["Lecture Notes in Computer Science","Scale Space and Variational Methods in Computer Vision"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-02256-2_55","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T05:10:57Z","timestamp":1558329057000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-02256-2_55"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"ISBN":["9783642022555","9783642022562"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-02256-2_55","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2009]]}}}