{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T12:35:34Z","timestamp":1742387734716},"publisher-location":"Berlin, Heidelberg","reference-count":24,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540255475"},{"type":"electronic","value":"9783540320128"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11408031_42","type":"book-chapter","created":{"date-parts":[[2010,7,13]],"date-time":"2010-07-13T10:04:57Z","timestamp":1279015497000},"page":"492-502","source":"Crossref","is-referenced-by-count":3,"title":["Enhancing Images Painted on Manifolds"],"prefix":"10.1007","author":[{"given":"Alon","family":"Spira","sequence":"first","affiliation":[]},{"given":"Ron","family":"Kimmel","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"42_CR1","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1145\/588272.588276","volume":"22","author":"C.L. Bajaj","year":"2003","unstructured":"Bajaj, C.L., Xu, G.: Anisotropic diffusion of surfaces and functions on surfaces. ACM Transactions on Graphics\u00a022, 4\u201332 (2003)","journal-title":"ACM Transactions on Graphics"},{"key":"42_CR2","doi-asserted-by":"publisher","first-page":"759","DOI":"10.1006\/jcph.2001.6937","volume":"174","author":"M. Bertalmio","year":"2001","unstructured":"Bertalmio, M., Cheng, L., Osher, S., Sapiro, G.: Variational problems and partial differential equations on implicit surfaces. Journal of Computational Physics\u00a0174, 759\u2013780 (2001)","journal-title":"Journal of Computational Physics"},{"key":"42_CR3","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1007\/0-387-21810-6_20","volume-title":"Geometric Level Set Methods in Imaging, Vision, and Graphics","author":"M. Bertalmio","year":"2003","unstructured":"Bertalmio, M., Memoli, F., Cheng, L., Sapiro, G., Osher, S.: Variational problems and partial differential equations on implicit surfaces: Bye bye triangulated surfaces? In: Osher, S., Paragios, N. (eds.) Geometric Level Set Methods in Imaging, Vision, and Graphics, pp. 381\u2013398. Springer, New York (2003)"},{"issue":"2","key":"42_CR4","doi-asserted-by":"publisher","first-page":"248","DOI":"10.1109\/TIP.2003.819863","volume":"13","author":"U. Clarenz","year":"2004","unstructured":"Clarenz, U., Diewald, U., Rumpf, M.: Processing textured surfaces via anisotropic geometric diffusion. IEEE Transactions on Image Processing\u00a013(2), 248\u2013261 (2004)","journal-title":"IEEE Transactions on Image Processing"},{"key":"42_CR5","doi-asserted-by":"crossref","unstructured":"Kimmel, R., Malladi, R., Sochen, N.: Image processing via the beltrami operator. In: Proc. of 3-rd Asian Conf. on Computer Vision, Hong Kong (January 1998)","DOI":"10.1007\/3-540-63930-6_169"},{"issue":"2","key":"42_CR6","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1023\/A:1008171026419","volume":"39","author":"R. Kimmel","year":"2000","unstructured":"Kimmel, R., Malladi, R., Sochen, N.: Images as embedding maps and minimal surfaces: Movies, color, texture, and volumetric medical images. International Journal of Computer Vision\u00a039(2), 111\u2013129 (2000)","journal-title":"International Journal of Computer Vision"},{"issue":"15","key":"42_CR7","doi-asserted-by":"publisher","first-page":"8431","DOI":"10.1073\/pnas.95.15.8431","volume":"95","author":"R. Kimmel","year":"1998","unstructured":"Kimmel, R., Sethian, J.: Computing geodesic paths on manifolds. Proceedings of National Academy of Sciences\u00a095(15), 8431\u20138435 (1998)","journal-title":"Proceedings of National Academy of Sciences"},{"key":"42_CR8","doi-asserted-by":"publisher","first-page":"238","DOI":"10.1006\/jvci.2001.0501","volume":"13","author":"R. Kimmel","year":"2002","unstructured":"Kimmel, R., Sochen, N.: Orientation diffusion or how to comb a porcupine? special issue on PDEs in Image Processing, Computer Vision, and Computer Graphics. Journal of Visual Communication and Image Representation\u00a013, 238\u2013248 (2002)","journal-title":"Journal of Visual Communication and Image Representation"},{"issue":"1","key":"42_CR9","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1016\/j.jcp.2003.10.007","volume":"195","author":"F. Memoli","year":"2004","unstructured":"Memoli, F., Sapiro, G., Osher, S.: Solving variational problems and partial differential equations mapping into general target manifolds. Journal of Computational Physics\u00a0195(1), 263\u2013292 (2004)","journal-title":"Journal of Computational Physics"},{"key":"42_CR10","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.: Fronts propagation with curvature dependent speed: Algorithms based on hamilton-jacobi formulations. J. Comput. Phys.\u00a079, 12\u201349 (1988)","journal-title":"J. Comput. Phys."},{"issue":"4","key":"42_CR11","doi-asserted-by":"publisher","first-page":"1591","DOI":"10.1073\/pnas.93.4.1591","volume":"93","author":"J. Sethian","year":"1996","unstructured":"Sethian, J.: A fast marching level set method for monotonically advancing fronts. Proceedings of National Academy of Sciences\u00a093(4), 1591\u20131595 (1996)","journal-title":"Proceedings of National Academy of Sciences"},{"key":"42_CR12","volume-title":"Level Set Methods and Fast Marching Methods","author":"J. Sethian","year":"1996","unstructured":"Sethian, J.: Level Set Methods and Fast Marching Methods. Cambridge University Press, Cambridge (1996)"},{"key":"42_CR13","doi-asserted-by":"crossref","unstructured":"Sochen, N.: Stochastic processes in vision: From langevin to beltrami. In: Proc. of International Conference on Computer Vision, Vancouver, Canada (July 2001)","DOI":"10.1109\/ICCV.2001.937531"},{"key":"42_CR14","doi-asserted-by":"crossref","unstructured":"Sochen, N., Deriche, R., Lopez-Perez, L.: The beltrami flow over implicit manifolds. In: Proc. of 9th International Conference on Computer Vision, Nice (October 2003)","DOI":"10.1109\/ICCV.2003.1238434"},{"key":"42_CR15","doi-asserted-by":"crossref","unstructured":"Sochen, N., Deriche, R., Lopez-Perez, L.: The beltrami flow over manifolds. Technical Report TR-4897, INRIA Sophia-Antipolis, Sophia Antipolis, France (2003)","DOI":"10.1109\/ICCV.2003.1238434"},{"issue":"3","key":"42_CR16","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1023\/A:1011277827470","volume":"14","author":"N. Sochen","year":"2001","unstructured":"Sochen, N., Kimmel, R., Bruckstein, A.: Diffusions and confusions in signal and image processing. Journal of Mathematical Imaging and Vision\u00a014(3), 195\u2013209 (2001)","journal-title":"Journal of Mathematical Imaging and Vision"},{"issue":"3","key":"42_CR17","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1109\/83.661181","volume":"7","author":"N. Sochen","year":"1998","unstructured":"Sochen, N., Kimmel, R., Malladi, R.: A general framework for low level vision. IEEE Trans. on Image Processing\u00a07(3), 310\u2013318 (1998)","journal-title":"IEEE Trans. on Image Processing"},{"key":"42_CR18","doi-asserted-by":"crossref","unstructured":"Sochen, N., Zeevi, Y.Y.: Representation of colored images by manifolds embedded in higher dimensional non-euclidean space. In: Proc. of ICIP 1998, Chicago, IL, January 1998, pp. 166\u2013170 (1998)","DOI":"10.1109\/ICIP.1998.723450"},{"key":"42_CR19","unstructured":"Spira, A., Kimmel, R.: Geodesic curvature flow on parametric surfaces. In: Curve and Surface Design: Saint-Malo 2002, Saint-Malo, France, June 2002, pp. 365\u2013373 (2002)"},{"key":"42_CR20","unstructured":"Spira, A., Kimmel, R.: An efficient solution to the eikonal equation on parametric manifolds. In: INTERPHASE 2003 meeting, Isaac Newton Institute for Mathematical Sciences, 2003 Preprints, Preprint no. NI03045-CPD, UK (June 2003)"},{"issue":"3","key":"42_CR21","doi-asserted-by":"publisher","first-page":"315","DOI":"10.4171\/IFB\/102","volume":"6","author":"A. Spira","year":"2004","unstructured":"Spira, A., Kimmel, R.: An efficient solution to the eikonal equation on parametric manifolds. Interfaces and Free Boundaries\u00a06(3), 315\u2013327 (2004)","journal-title":"Interfaces and Free Boundaries"},{"key":"42_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1007\/3-540-44935-3_35","volume-title":"Scale Space Methods in Computer Vision","author":"A. Spira","year":"2003","unstructured":"Spira, A., Kimmel, R., Sochen, N.: Efficient beltrami flow using a short time kernel. In: Griffin, L.D., Lillholm, M. (eds.) Scale-Space 2003. LNCS, vol.\u00a02695, pp. 511\u2013522. Springer, Heidelberg (2003)"},{"key":"42_CR23","first-page":"203","volume-title":"Handbook of Geometric Computing- Applications in Pattern Recogntion, Computer Vision, Neuralcomputing, and Robotics","author":"A. Spira","year":"2005","unstructured":"Spira, A., Sochen, N., Kimmel, R.: Geometric filters, diffusion flows, and kernels in image processing. In: Eduardo, B.C. (ed.) Handbook of Geometric Computing- Applications in Pattern Recogntion, Computer Vision, Neuralcomputing, and Robotics, February 2005, pp. 203\u2013230. Springer, Heidelberg (2005)"},{"issue":"9","key":"42_CR24","doi-asserted-by":"publisher","first-page":"1528","DOI":"10.1109\/9.412624","volume":"40","author":"J. Tsitsiklis","year":"1995","unstructured":"Tsitsiklis, J.: Efficient algorithms for globally optimal trajectories. IEEE Trans. on Automatic Control\u00a040(9), 1528\u20131538 (1995)","journal-title":"IEEE Trans. on Automatic Control"}],"container-title":["Lecture Notes in Computer Science","Scale Space and PDE Methods in Computer Vision"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11408031_42.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,31]],"date-time":"2021-10-31T05:48:52Z","timestamp":1635659332000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11408031_42"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540255475","9783540320128"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/11408031_42","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}