{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T15:49:07Z","timestamp":1725896947028},"publisher-location":"Berlin, Heidelberg","reference-count":22,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642331909"},{"type":"electronic","value":"9783642331916"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-33191-6_26","type":"book-chapter","created":{"date-parts":[[2012,8,21]],"date-time":"2012-08-21T19:47:07Z","timestamp":1345578427000},"page":"265-274","source":"Crossref","is-referenced-by-count":0,"title":["A Novel Algorithm for Computing Riemannian Geodesic Distance in Rectangular 2D Grids"],"prefix":"10.1007","author":[{"given":"Ola","family":"Nilsson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Martin","family":"Reimers","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ken","family":"Museth","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anders","family":"Brun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"26_CR1","doi-asserted-by":"publisher","first-page":"771","DOI":"10.1016\/j.jcp.2007.01.009","volume":"225","author":"A.M. Bronstein","year":"2007","unstructured":"Bronstein, A.M., Bronstein, M.M., Kimmel, R.: Weighted distance maps computation on parametric three-dimensional manifolds. Journal of Computational Physics\u00a0225, 771\u2013784 (2007)","journal-title":"Journal of Computational Physics"},{"key":"26_CR2","first-page":"69","volume-title":"Shape from Shading","author":"A.R. Bruss","year":"1989","unstructured":"Bruss, A.R.: The eikonal equation: Some results applicable to computer vision. In: Horn, B.K.P., Brooks, M.J. (eds.) Shape from Shading, pp. 69\u201387. MIT Press, Cambridge (1989)"},{"key":"26_CR3","doi-asserted-by":"publisher","first-page":"342","DOI":"10.1109\/TVCG.2007.70434","volume":"14","author":"L. Feng","year":"2008","unstructured":"Feng, L., Hotz, I., Hamann, B., Joy, K.: Anisotropic noise samples. IEEE Transactions on Visualization and Computer Graphics\u00a014, 342\u2013354 (2008)","journal-title":"IEEE Transactions on Visualization and Computer Graphics"},{"key":"26_CR4","doi-asserted-by":"publisher","first-page":"737","DOI":"10.1137\/S1064827503428527","volume":"26","author":"Q. Du","year":"2005","unstructured":"Du, Q., Wang, D.: Anisotropic centroidal voronoi tessellations and their applications. SIAM J. Sci. Comput.\u00a026, 737\u2013761 (2005)","journal-title":"SIAM J. Sci. Comput."},{"key":"26_CR5","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/0021-9991(88)90002-2","volume":"79","author":"S. Osher","year":"1988","unstructured":"Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics\u00a079, 12\u201349 (1988)","journal-title":"Journal of Computational Physics"},{"key":"26_CR6","doi-asserted-by":"publisher","first-page":"681","DOI":"10.1016\/0167-8655(90)90102-8","volume":"11","author":"P.W. Verbeek","year":"1990","unstructured":"Verbeek, P.W., Verwer, B.J.: Shading from shape, the eikonal equation solved by grey-weighted distance transform. Pattern Recogn. Lett.\u00a011, 681\u2013690 (1990)","journal-title":"Pattern Recogn. Lett."},{"key":"26_CR7","doi-asserted-by":"publisher","first-page":"867","DOI":"10.1137\/0729053","volume":"29","author":"E. Rouy","year":"1992","unstructured":"Rouy, E., Tourin, A.: A viscosity solutions approach to shape-from-shading. SIAM Journal on Numerical Analysis\u00a029, 867\u2013884 (1992)","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"26_CR8","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1006\/gmip.1995.1041","volume":"57","author":"P.L. Rosin","year":"1995","unstructured":"Rosin, P.L., West, G.A.W.: Salience distance transforms. Graph. Models Image Process.\u00a057, 483\u2013521 (1995)","journal-title":"Graph. Models Image Process."},{"key":"26_CR9","doi-asserted-by":"publisher","first-page":"439","DOI":"10.1364\/JOSAB.23.000439","volume":"23","author":"C.G. Parazzoli","year":"2006","unstructured":"Parazzoli, C.G., Koltenbah, B.E.C., Greegor, R.B., Lam, T.A., Tanielian, M.H.: Eikonal equation for a general anisotropic or chiral medium: application to a negative-graded index-of-refraction lens with an anisotropic material. J. Opt. Soc. Am. B\u00a023, 439\u2013450 (2006)","journal-title":"J. Opt. Soc. Am. B"},{"key":"26_CR10","doi-asserted-by":"crossref","unstructured":"Bardi, M., Capuzzo-Dolcetta, I.: Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Birkhauser (1997)","DOI":"10.1007\/978-0-8176-4755-1"},{"key":"26_CR11","doi-asserted-by":"publisher","first-page":"673","DOI":"10.1137\/S0036142901396533","volume":"41","author":"Y.H.R. Tsai","year":"2004","unstructured":"Tsai, Y.H.R., Cheng, L.T., Osher, S., Zhao, H.K.: Fast sweeping algorithms for a class of hamilton-jacobi equations. SIAM Journal on Numerical Analysis\u00a041, 673\u2013694 (2004)","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"26_CR12","doi-asserted-by":"crossref","unstructured":"Jeong, W.-K., Fletcher, P.T., Tao, R., Whitaker, R.T.: Interactive visualization of volumetric white matter connectivity in dt-mri using a parallel-hardware hamilton-jacobi solver. IEEE Transactions on Visualization and Computer Graphics (Proceedings of IEEE Visualization 2007), 1480\u20131487 (2007)","DOI":"10.1109\/TVCG.2007.70571"},{"key":"26_CR13","doi-asserted-by":"publisher","first-page":"1591","DOI":"10.1073\/pnas.93.4.1591","volume":"93","author":"J.A. Sethian","year":"1996","unstructured":"Sethian, J.A.: A fast marching level set method for monotonically advancing fronts. Proc. Nat. Acad. Sci.\u00a093, 1591\u20131595 (1996)","journal-title":"Proc. Nat. Acad. Sci."},{"key":"26_CR14","doi-asserted-by":"publisher","first-page":"1528","DOI":"10.1109\/9.412624","volume":"40","author":"J.N. Tsitsiklis","year":"1995","unstructured":"Tsitsiklis, J.N.: Efficient algorithms for globally optimal trajectories. IEEE Transactions on Automatic Control\u00a040, 1528\u20131538 (1995)","journal-title":"IEEE Transactions on Automatic Control"},{"key":"26_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1007\/978-3-540-73273-0_57","volume-title":"Information Processing in Medical Imaging","author":"E. Konukoglu","year":"2007","unstructured":"Konukoglu, E., Sermesant, M., Clatz, O., Peyrat, J.-M., Delingette, H., Ayache, N.: A Recursive Anisotropic Fast Marching Approach to Reaction Diffusion Equation: Application to Tumor Growth Modeling. In: Karssemeijer, N., Lelieveldt, B. (eds.) IPMI 2007. LNCS, vol.\u00a04584, pp. 687\u2013699. Springer, Heidelberg (2007)"},{"key":"26_CR16","doi-asserted-by":"crossref","unstructured":"Lenglet, C., Prados, E., Pons, J.P., Deriche, R., Faugeras, O.: Brain connectivity mapping using Riemannian geometry, control theory and PDEs. SIAM Journal on Imaging Sciences (2008)","DOI":"10.1137\/070710986"},{"key":"26_CR17","unstructured":"Novotni, M., Klein, R.: Computing geodesic distances on triangular meshes. In: Proceedings of The 10th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision, WSCG 2002 (2002)"},{"key":"26_CR18","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1145\/1186822.1073228","volume-title":"SIGGRAPH 2005: ACM SIGGRAPH 2005 Papers","author":"V. Surazhsky","year":"2005","unstructured":"Surazhsky, V., Surazhsky, T., Kirsanov, D., Gortler, S.J., Hoppe, H.: Fast exact and approximate geodesics on meshes. In: SIGGRAPH 2005: ACM SIGGRAPH 2005 Papers, pp. 553\u2013560. ACM Press, New York (2005)"},{"key":"26_CR19","unstructured":"Reimers, M.: Topics in Mesh based Modelling. PhD thesis, Univ. of Oslo (2004)"},{"key":"26_CR20","doi-asserted-by":"publisher","first-page":"242","DOI":"10.1137\/0323018","volume":"23","author":"R. Gonzalez","year":"1985","unstructured":"Gonzalez, R., Rofman, E.: On deterministic control problems: An approximation procedure for the optimal cost i. the stationary problem. SIAM Journal on Control and Optimization\u00a023, 242\u2013266 (1985)","journal-title":"SIAM Journal on Control and Optimization"},{"key":"26_CR21","unstructured":"Sonka, M., Hlavac, V., Boyle, R.: Image Processing: Analysis and Machine Vision. Thomson-Engineering (1998)"},{"key":"26_CR22","doi-asserted-by":"crossref","unstructured":"Malm, P., Brun, A.: Closing curves with Riemannian dilation: Application to segmentation in automated cervical cancer screening. In: Proc. of 5th International Symposium on Visual Computing, Las Vegas, Nevada, USA (2009)","DOI":"10.1007\/978-3-642-10331-5_32"}],"container-title":["Lecture Notes in Computer Science","Advances in Visual Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-33191-6_26.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T11:58:29Z","timestamp":1620129509000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-33191-6_26"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642331909","9783642331916"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-33191-6_26","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2012]]}}}