{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,29]],"date-time":"2025-11-29T16:07:05Z","timestamp":1764432425614,"version":"3.41.0"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2003,12,1]],"date-time":"2003-12-01T00:00:00Z","timestamp":1070236800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2003,12,1]],"date-time":"2003-12-01T00:00:00Z","timestamp":1070236800000},"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 Scientific Computing"],"published-print":{"date-parts":[[2003,12]]},"DOI":"10.1023\/a:1025308109816","type":"journal-article","created":{"date-parts":[[2003,9,19]],"date-time":"2003-09-19T21:20:03Z","timestamp":1064006403000},"page":"267-292","source":"Crossref","is-referenced-by-count":27,"title":["Estimation of 3D Surface Shape and Smooth Radiance from 2D Images: A Level Set Approach"],"prefix":"10.1007","volume":"19","author":[{"given":"Hailin","family":"Jin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anthony J.","family":"Yezzi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yen-Hsi","family":"Tsai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li-Tien","family":"Cheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefano","family":"Soatto","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"460015_CR1","doi-asserted-by":"crossref","first-page":"759","DOI":"10.1006\/jcph.2001.6937","volume":"174","author":"M. Bertalmio","year":"2001","unstructured":"Bertalmio, M., Cheng, L., Osher, S., and Sapiro, G. (2001). Variational problems and partial differential equations on implicit surfaces. J. Comput. Phys. 174, 759-780.","journal-title":"J. Comput. Phys."},{"key":"460015_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01385685","volume":"66","author":"V. Caselles","year":"1993","unstructured":"Caselles, V., Catte, F., Coll, T., and Dibos, F. (1993). A geometric model for active contours in image processing. Numer. Math. 66, 1-31.","journal-title":"Numer. Math."},{"key":"460015_CR3","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1023\/A:1007979827043","volume":"22","author":"V. Caselles","year":"1997","unstructured":"Caselles, V., Kimmel, R., and Sapiro, G. (1997). Geodesic active contours. Int. J. Comput. Vision 22, 61-79.","journal-title":"Int. J. Comput. Vision"},{"key":"460015_CR4","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1109\/34.745730","volume":"21","author":"A. Chakraborty","year":"1999","unstructured":"Chakraborty, A., and Duncan, J. (1999). Game-Theoretic Integration for image segmentation. IEEE Trans. Pattern Anal. Machine Intell. 21, 12-30.","journal-title":"IEEE Trans. Pattern Anal. Machine Intell."},{"key":"460015_CR5","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1109\/42.544503","volume":"15","author":"A. Chakraborty","year":"1996","unstructured":"Chakraborty, A., Staib, L., and Duncan, J. (1996). Deformable boundary finding in medical images by integrating gradient and region information. IEEE Trans. Medical Imaging 15, 859-870.","journal-title":"IEEE Trans. Medical Imaging"},{"key":"460015_CR6","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1109\/83.902291","volume":"10","author":"T. Chan","year":"2001","unstructured":"Chan, T., and Vese, L. (2001). Active contours without edges. IEEE Trans. on Image Processing 10, 266-277.","journal-title":"IEEE Trans. on Image Processing"},{"key":"460015_CR7","doi-asserted-by":"crossref","unstructured":"Cipolla, R., and Blake, A. (1992). Surface shape from the deformation of apparent contours. Int. J. Comput. Vision 9.","DOI":"10.1007\/BF00129682"},{"key":"460015_CR8","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/1049-9660(91)90028-N","volume":"53","author":"L. Cohen","year":"1991","unstructured":"Cohen, L. (1991). On active contour models and balloons. CVGIP: Image Understanding 53, 211-218.","journal-title":"CVGIP: Image Understanding"},{"key":"460015_CR9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0273-0979-1992-00266-5","volume":"27","author":"M. G. Crandall","year":"1992","unstructured":"Crandall, M. G., Ishii, H., and Lions, P. L. (1992). User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (N.S.) 27, 1-67.","journal-title":"Bull. Amer. Math. Soc. (N.S.)"},{"key":"460015_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0025-5718-1984-0744921-8","volume":"43","author":"M. G. Crandall","year":"1984","unstructured":"Crandall, M. G., and Lions, P. L. (1984). Two approximations of solutions of Hamilton\u2013Jacobi equations. Math. Comp. 43, 1-19.","journal-title":"Math. Comp."},{"key":"460015_CR11","unstructured":"Faugeras, O. (1993). Three Dimensional Vision, a Geometric Viewpoint, MIT Press."},{"key":"460015_CR12","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1109\/83.661183","volume":"7","author":"O. Faugeras","year":"1998","unstructured":"Faugeras, O., and Keriven, R. (1998). Variational principles, surface evolution pdes, level set methods and the stereo problem. IEEE Trans. Image Process. 7, 336-344.","journal-title":"IEEE Trans. Image Process."},{"key":"460015_CR13","unstructured":"Horn, B., and Brooks, M. (eds.) (1989). Shape from Shading, MIT Press."},{"key":"460015_CR14","doi-asserted-by":"crossref","unstructured":"Jin, H., Yezzi, A., and Soatto, S. (2000). Stereoscopic shading: Integrating shape cues in a variational framework. Proc. of the IEEE Intl. Conf. on Computer Vision and Pattern Recognition, pp. 169-176.","DOI":"10.1109\/CVPR.2000.855816"},{"key":"460015_CR15","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/BF00133570","volume":"1","author":"M. Kass","year":"1987","unstructured":"Kass, M., Witkin, A., and Terzopoulos, D. (1987). Snakes: Active contour models. Int. J. Comput. Vision 1, 321-331.","journal-title":"Int. J. Comput. Vision"},{"key":"460015_CR16","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1006\/jvci.2001.0486","volume":"13","author":"R. Kimmel","year":"2002","unstructured":"Kimmel, R. (2002). 3D shape reconstruction from autostereograms and stereo. J. Vis. Commun. Image Repres. 13, 324-333.","journal-title":"J. Vis. Commun. Image Repres."},{"key":"460015_CR17","unstructured":"Kreyszig, E. (1991). Differential Geometry, Dover."},{"key":"460015_CR18","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1023\/A:1008191222954","volume":"38","author":"K. Kutulakos","year":"2000","unstructured":"Kutulakos, K., and Seitz, S. (2000). A theory of shape by space carving. Int. J. Comput. Vision 38, 199-218.","journal-title":"Int. J. Comput. Vision"},{"key":"460015_CR19","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1002\/cpa.3160420503","volume":"42","author":"D. Mumford","year":"1989","unstructured":"Mumford, D., and Shah, J. (1989). Optimal approximations by piecewise smooth functions and associated variational problems. Comm. Pure Appl. Math. 42, 577-685.","journal-title":"Comm. Pure Appl. Math."},{"key":"460015_CR20","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/0021-9991(88)90002-2","volume":"79","author":"S. Osher","year":"1988","unstructured":"Osher, S., and Sethian, J. (1988). Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton\u2013Jacobi equations. J. Comput. Phys. 79, 12-49.","journal-title":"J. Comput. Phys."},{"key":"460015_CR21","doi-asserted-by":"crossref","first-page":"907","DOI":"10.1137\/0728049","volume":"28","author":"S. Osher","year":"1991","unstructured":"Osher, S., and Shu, C.-W. (1991). High-order essentially nonoscillatory schemes for Hamilton\u2013Jacobi equations. SIAM J. Numer. Anal. 28, 907-922.","journal-title":"SIAM J. Numer. Anal."},{"key":"460015_CR22","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/BF01427153","volume":"13","author":"R. Ronfard","year":"1994","unstructured":"Ronfard, R. (1994). Region-based strategies for active contour models. Int. J. Comput. Vision 13, 229-251.","journal-title":"Int. J. Comput. Vision"},{"key":"460015_CR23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-0396(85)90136-6","volume":"59","author":"P. E. Souganidis","year":"1985","unstructured":"Souganidis, P. E. (1985). Approximation schemes for viscosity solutions of Hamilton\u2013Jacobi equations. J. Differential Equations 59, 1-43.","journal-title":"J. Differential Equations"},{"key":"460015_CR24","doi-asserted-by":"crossref","unstructured":"Tek, H., and Kimia, B. (1995). Image segmentation by reaction diffusion bubbles. Proc. Int. Conf. Computer Vision, pp. 156-162.","DOI":"10.1109\/ICCV.1995.466792"},{"key":"460015_CR25","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/0004-3702(88)90080-X","volume":"36","author":"D. Terzopoulos","year":"1988","unstructured":"Terzopoulos, D., and Witkin, A. (1988). Constraints on deformable models: Recovering shape and non-rigid motion. Artificial Intelligence 36, 91-123.","journal-title":"Artificial Intelligence"},{"key":"460015_CR26","unstructured":"Tsai, Y.-H., Cheng, L.-T., Burchard, P., Osher, S., and Sapiro, G. (2002). Dynamic Visibility in an Implicit Framework, UCLA CAM Report, 02-06."},{"key":"460015_CR27","doi-asserted-by":"crossref","unstructured":"Yezzi, A., and Soatto, S. (2001). Stereoscopic segmentation. Proc. Int. Conf. Computer Vision, 56-66.","DOI":"10.1109\/ICCV.2001.937499"},{"key":"460015_CR28","doi-asserted-by":"crossref","unstructured":"Yezzi, A., Tsai, A., and Willsky, A. (1999). A statistical approach to image segmentation for bimodal and trimodal imagery. Proc. Int. Conf. Computer Vision, 898-903.","DOI":"10.1109\/ICCV.1999.790317"},{"key":"460015_CR29","doi-asserted-by":"crossref","first-page":"884","DOI":"10.1109\/34.537343","volume":"18","author":"S. Zhu","year":"1996","unstructured":"Zhu, S., and Yuille, A. (1996). Region competition: Unifying snakes, region growing, and Bayes\/MDL for multiband image segmentation. IEEE Trans. Pattern Anal. Machine Intelligence 18, 884-900.","journal-title":"IEEE Trans. Pattern Anal. Machine Intelligence"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1025308109816.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1025308109816\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1025308109816.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,4]],"date-time":"2025-07-04T09:26:45Z","timestamp":1751621205000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1025308109816"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,12]]},"references-count":29,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2003,12]]}},"alternative-id":["460015"],"URL":"https:\/\/doi.org\/10.1023\/a:1025308109816","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"type":"print","value":"0885-7474"},{"type":"electronic","value":"1573-7691"}],"subject":[],"published":{"date-parts":[[2003,12]]}}}