{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,15]],"date-time":"2025-08-15T01:55:47Z","timestamp":1755222947071,"version":"3.43.0"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2000,11,1]],"date-time":"2000-11-01T00:00:00Z","timestamp":973036800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2000,11,1]],"date-time":"2000-11-01T00:00:00Z","timestamp":973036800000},"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":["International Journal of Computer Vision"],"published-print":{"date-parts":[[2000,11]]},"DOI":"10.1023\/a:1026510403689","type":"journal-article","created":{"date-parts":[[2003,11,6]],"date-time":"2003-11-06T12:11:16Z","timestamp":1068120676000},"page":"169-178","source":"Crossref","is-referenced-by-count":3,"title":["Closed Form Solution of Local Shape from Shading at Critical Points"],"prefix":"10.1007","volume":"40","author":[{"given":"Takayuki","family":"Okatani","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Koichiro","family":"Deguchi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"280440_CR1","doi-asserted-by":"crossref","unstructured":"Bischel, M. and Pentland, A.P. 1992. A simple algorithm for shape from shading. In Proceedings of IEEE Computer Vision and Pattern Recognition, pp. 459\u2013465.","DOI":"10.1109\/CVPR.1992.223150"},{"key":"280440_CR2","doi-asserted-by":"crossref","unstructured":"Brooks. M.J. and Chojnacki, W. 1994. Direct computation of shape from shading, In Proceedings of International Conference on Pattern Recognition, pp. 114\u2013119.","DOI":"10.1109\/ICPR.1994.576240"},{"key":"280440_CR3","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/S0734-189X(88)80002-1","volume":"44","author":"A.M. Bruckstein","year":"1988","unstructured":"Bruckstein, A.M. 1988. On shape from shading. Computer Vision, Graphics, and Image Processing, 44:139\u2013154.","journal-title":"Computer Vision, Graphics, and Image Processing"},{"issue":"5","key":"280440_CR4","doi-asserted-by":"crossref","first-page":"890","DOI":"10.1063\/1.525441","volume":"23","author":"A.R. Bruss","year":"1982","unstructured":"Bruss, A.R. 1982. The Eikonal equation: Some results applicable to computer vision. Journal of Mathematical Physics, 23(5):890\u2013896.","journal-title":"Journal of Mathematical Physics"},{"issue":"1","key":"280440_CR5","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/BF00056771","volume":"5","author":"B.K.P. Horn","year":"1990","unstructured":"Horn, B.K.P. 1990. Height and gradient from shading. International Journal of Computer Vision, 5(1):37\u201374.","journal-title":"International Journal of Computer Vision"},{"key":"280440_CR6","volume-title":"Shape fromShading","author":"B.K.P. Horn","year":"1989","unstructured":"Horn, B.K.P. and Brooks, M.J. 1989. Shape fromShading. MITPress: Cambridge, MA."},{"issue":"2","key":"280440_CR7","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1006\/cviu.1995.1040","volume":"62","author":"R. Kimmel","year":"1995","unstructured":"Kimmel, R. and Bruckstein, A.M. 1995a. Tracking level sets by level sets: A method for solving the shape from shading problem. Computer Vision and Image Understanding, 62(2):47\u201358.","journal-title":"Computer Vision and Image Understanding"},{"issue":"3","key":"280440_CR8","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1006\/cviu.1995.1060","volume":"62","author":"R. Kimmel","year":"1995","unstructured":"Kimmel, R. and Bruckstein, A.M. 1995b. Global shape from shading. Computer Vision and Image Understanding, 62(3):360\u2013369.","journal-title":"Computer Vision and Image Understanding"},{"key":"280440_CR9","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/BF01539551","volume":"16","author":"R. Kimmel","year":"1995","unstructured":"Kimmel, R., Siddiqi, K., Kimia, B.B., and Bruckstein, A.M. 1995. Shape from shading: Level set propagation and viscosity solutions. International Journal of Computer Vision, 16:107\u2013133.","journal-title":"International Journal of Computer Vision"},{"key":"280440_CR10","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/0004-3702(85)90026-8","volume":"26","author":"C.H. Lee","year":"1985","unstructured":"Lee, C.H. and Rosenfeld, A. 1985. Improved methods of estimating shape from shading using the light source coordinate system. Artificial Intelligence, 26:125\u2013143.","journal-title":"Artificial Intelligence"},{"issue":"2","key":"280440_CR11","first-page":"163","volume":"54","author":"J. Oliensis","year":"1991","unstructured":"Oliensis, J. 1991a. Shape from shading as a partially well-constrained problem. Computer Vision, Graphics, and Image Processing, 54(2):163\u2013183.","journal-title":"Computer Vision, Graphics, and Image Processing"},{"issue":"2","key":"280440_CR12","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/BF00128151","volume":"6","author":"J. Oliensis","year":"1991","unstructured":"Oliensis, J. 1991b. Uniqueness in shape from shading. International Journal of Computer Vision, 6(2):75\u2013104.","journal-title":"International Journal of Computer Vision"},{"key":"280440_CR13","doi-asserted-by":"crossref","unstructured":"Oliensis, J. and Dupuis, P. 1993. A global algorithm for shape from shading. In Proceedings of IEEE International Conference on Computer Vision, pp. 692\u2013701.","DOI":"10.1109\/ICCV.1993.378145"},{"issue":"2","key":"280440_CR14","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1109\/TPAMI.1984.4767501","volume":"6","author":"A.P. Pentland","year":"1984","unstructured":"Pentland, A.P. 1984. Local analysis of the image. IEEE Transaction on Pattern Analysis and Machine Intelligence, 6(2):170\u2013187.","journal-title":"IEEE Transaction on Pattern Analysis and Machine Intelligence"},{"issue":"3","key":"280440_CR15","doi-asserted-by":"crossref","first-page":"867","DOI":"10.1137\/0729053","volume":"29","author":"E. Rouy","year":"1992","unstructured":"Rouy, E. and Tourin, A. 1992. A viscosity solutions approach to shape-from-shading. SIAM Journal on Numerical Analysis, 29(3):867\u2013884.","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"280440_CR16","unstructured":"Sara, R. 1994. Local shading analysis via isophotes properties. PhD thesis, JohannesKepler University Linz, Dept. of System Sciences."},{"issue":"3","key":"280440_CR17","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1177\/027836499201100304","volume":"11","author":"B.V.H. Saxberg","year":"1992","unstructured":"Saxberg, B.V.H. 1992. Existence and uniqueness for shape from shading around critical points: Theory and an algorithm. International Journal of Robotics Research, 11(3):202\u2013224.","journal-title":"International Journal of Robotics Research"},{"issue":"4","key":"280440_CR18","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1109\/34.588016","volume":"19","author":"G.Q. Wei","year":"1997","unstructured":"Wei, G.Q. and Hirzinger, G. 1997. Parametric shape-from-shading by radial basis functions. IEEE Transaction on Pattern Analysis and Machine Intelligence, 19(4):353\u2013365.","journal-title":"IEEE Transaction on Pattern Analysis and Machine Intelligence"},{"key":"280440_CR19","volume-title":"The Psychology of Computer Vision","author":"P.H. Winston","year":"1975","unstructured":"Winston, P.H. 1975. The Psychology of Computer Vision. McGraw Hill: New York."},{"key":"280440_CR20","doi-asserted-by":"crossref","unstructured":"Zhang, R., Tsai, P.S., Cryer, J.E., and Shah, M. 1994. Analysis of shape from shading techniques. In Proceedings of Computer Vision and Pattern Recognition, pp. 377\u2013384.","DOI":"10.1109\/CVPR.1994.323854"}],"container-title":["International Journal of Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1026510403689.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1026510403689\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1026510403689.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,11]],"date-time":"2025-08-11T09:31:17Z","timestamp":1754904677000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1026510403689"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,11]]},"references-count":20,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2000,11]]}},"alternative-id":["280440"],"URL":"https:\/\/doi.org\/10.1023\/a:1026510403689","relation":{},"ISSN":["0920-5691","1573-1405"],"issn-type":[{"type":"print","value":"0920-5691"},{"type":"electronic","value":"1573-1405"}],"subject":[],"published":{"date-parts":[[2000,11]]}}}