{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,23]],"date-time":"2025-10-23T20:46:57Z","timestamp":1761252417224},"reference-count":52,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1994,2,1]],"date-time":"1994-02-01T00:00:00Z","timestamp":760060800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int J Comput Vision"],"published-print":{"date-parts":[[1994,2]]},"DOI":"10.1007\/bf01420985","type":"journal-article","created":{"date-parts":[[2005,4,11]],"date-time":"2005-04-11T20:18:15Z","timestamp":1113250695000},"page":"79-104","source":"Crossref","is-referenced-by-count":96,"title":["Smoothing and matching of 3-d space curves"],"prefix":"10.1007","volume":"12","author":[{"given":"Andr\ufffd","family":"Gu\ufffdziec","sequence":"first","affiliation":[]},{"given":"Nicholas","family":"Ayache","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","unstructured":"Arbogast, E. 1990. La repr\u00e9sentation des contours et leur segmentation. Tech. Rept. RR 115, LIFIA, juillet."},{"key":"CR2","volume-title":"Artificial Vision for Mobile Robots?Stereo-Vision and Multisensory Perception","author":"N. Ayache","year":"1991","unstructured":"Ayache, N. 1991.Artificial Vision for Mobile Robots?Stereo-Vision and Multisensory Perception. MIT Press: Cambridge, MA."},{"issue":"1","key":"CR3","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1109\/TPAMI.1986.4767751","volume":"8","author":"N. Ayache","year":"1986","unstructured":"Ayache, N., and Faugeras, O.D. 1986. Hyper: A new approach for the recognition and positioning of two-dimensional objects,IEEE Trans. Patt. Anal. Mach. Intell. 8(1):44?54.","journal-title":"IEEE Trans. Patt. Anal. Mach. Intell."},{"key":"CR4","doi-asserted-by":"crossref","unstructured":"Ayache, N., Boissonnat, J.D., Brunet, E., Cohen, L., Chi\u00e8ze, J.P., Geiger, B., Monga, O., Rocchisani, J.M., and Sander, P. 1989. Building highly structured volume representations in 3-D medical images. InComputer Aided Radiology, Berlin, West-Germany.","DOI":"10.1007\/978-3-642-52311-3_133"},{"key":"CR5","series-title":"NATO ASI Series","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/978-3-642-84211-5_6","volume-title":"3D Imaging in Medicine","author":"N. Ayache","year":"1990","unstructured":"Ayache, N., Boissonnat, J.D., Cohen, L., Geiger, B., Levy-Vehel, J., Monga, O., and Sander, P. 1990. Steps toward the automatic interpretation of 3-D images. In H. Fuchs, K. Hohne, and S. Pizer, eds.,3D Imaging in Medicine, NATO ASI Series, Springer-Verlag: New York, pp. 107?120."},{"key":"CR6","volume-title":"An Introduction to Splines for Use in Computer Graphics and Geometric Modelling","author":"R. Bartels","year":"1987","unstructured":"Bartels, R., Beatty, J., and Barsky, B., 1987.An Introduction to Splines for Use in Computer Graphics and Geometric Modelling. Morgan Kaufmann: San Mateo, CA."},{"key":"CR7","unstructured":"Benayoun, S., Monga, O., Gu\u00e9ziec, A., and Ayache, N. 1992. Using surface curvatures for 3-D image registration,Proc. 11th Conf. Comput. Appl. Radiol., Baltimore, MD."},{"issue":"2","key":"CR8","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1109\/34.121791","volume":"14","author":"P. Besl","year":"1992","unstructured":"Besl, P. and McKay, N. 1992. A method for registration of 3-D shapes,IEEE Trans. Patt. Anal. Mach. Intell., 14(2):239?256.","journal-title":"IEEE Trans. Patt. Anal. Mach. Intell."},{"key":"CR9","unstructured":"Bohm, W., Farin, G., and Kahmann, J. 1984.A Survey of Curve and Surface Methods in CAGD, Elsevier Science Publishers: North Holland, in Computer Aided Geometric Design, pp. 1?60."},{"key":"CR10","unstructured":"Cinquin, P. 1981. Splines unidimsionnelles sous tension et bidimen-sionnelles param\u00e9tr\u00e9es, Th\u00e8se de Doctorat de troisi\u00e8me cycle, Universit\u00e9 de St-Etienne, Octobre."},{"key":"CR11","unstructured":"Cinquin, P. 1987. Application des fonctions-spline au traitement d'images num \u00e9riques. Th\u00e8se de Doctorat de math\u00e9matiques, Septembre."},{"key":"CR12","doi-asserted-by":"crossref","unstructured":"Cohen, I. Cohen, L.D., and Ayache, N. 1991. Introducing deformable surfaces to segment 3-D images and infer differential structures,Proc. Conf. Comput. Vis. Patt. Recog., Hawaii, June.","DOI":"10.1016\/1049-9660(92)90041-Z"},{"key":"CR13","unstructured":"Cohen, L.D. and Cohen I. 1990. A finite element method applied to new active contour models and 3-D reconstruction from cross sections,Proc. 3rd Intern. Conf. Comput. Vis., Osaka, Japan, December."},{"key":"CR14","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1007\/BF01404567","volume":"31","author":"P. Craven","year":"1979","unstructured":"Craven, P. and Wahba, G. 1979. Smoothing noisy data with spline functions.Numerische Mathematik 31:377?403.","journal-title":"Numerische Mathematik"},{"key":"CR15","volume-title":"3-D Imaging in Medicine","author":"C.B. Cutting","year":"1989","unstructured":"Cutting, C.B. 1989. Applications of computer graphics to the evaluation and treatment of major craniofacial malformation. In Udupa and Herman, eds.,3-D Imaging in Medicine, CRC Press: Boca Raton, FL."},{"key":"CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-6333-3","volume-title":"A practical Guide to Splines","author":"C. Boor de","year":"1978","unstructured":"de Boor, C. 1978.A practical Guide to Splines. Springer-Verlag: New York."},{"key":"CR17","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1007\/BF01390708","volume":"50","author":"F.R. Hoog de","year":"1987","unstructured":"de Hoog, F.R. and Hutchinson, M.F. 1987. An efficient method for calculating smoothing splines using orthogonal transformations,Numerische Mathematik 50:311?319.","journal-title":"Numerische Mathematik"},{"key":"CR18","volume-title":"Differential Geometry of Curves and Surfaces","author":"M.P. Carmo do","year":"1976","unstructured":"do Carmo, M.P. 1976.Differential Geometry of Curves and Surfaces. Prentice-Hall: Englewood Cliffs, NJ."},{"key":"CR19","volume-title":"Pattern Classification and Scene Analysis","author":"R. Duda","year":"1973","unstructured":"Duda, R., and Hart, P. 1973.Pattern Classification and Scene Analysis. Wiley: New York."},{"key":"CR20","volume-title":"Curves and Surfaces for Computer Aided Geometric Design","author":"C. Farin","year":"1988","unstructured":"Farin, C. 1988.Curves and Surfaces for Computer Aided Geometric Design. Academic Press: San Diego, CA."},{"key":"CR21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01395775","volume":"56","author":"D. Girard","year":"1989","unstructured":"Girard, D. 1989. A fast ?monte-carlo cross-validation procedure? for large least squares problems with noisy data,Numerische Mathematik 56:1?23.","journal-title":"Numerische Mathematik"},{"issue":"12","key":"CR22","doi-asserted-by":"crossref","first-page":"1201","DOI":"10.1109\/34.106994","volume":"13","author":"W.E.L. Grimson","year":"1991","unstructured":"Grimson, W.E.L., and Huttenlocher, D.P. 1991. On the verification of hypothesized matches in model-based recognition,IEEE Trans. Patt. Anal. Mach. Intell. 13(12):1201?1213, December.","journal-title":"IEEE Trans. Patt. Anal. Mach. Intell."},{"issue":"3","key":"CR23","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1177\/027836498400300301","volume":"3","author":"W.E.L. Grimson","year":"1984","unstructured":"Grimson, W.E.L. and Lozano-Per\u00e8z, T. 1984. Model-based recognition and localization from sparse range or tactile data,Intern. J. Robot. Res. 3(3):3?35.","journal-title":"Intern. J. Robot. Res."},{"key":"CR24","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1093\/comjnl\/14.2.169","volume":"14","author":"M. Grossman","year":"1971","unstructured":"Grossman, M. 1971. Parametric curve fitting,Computer Journal 14:169?172.","journal-title":"Computer Journal"},{"key":"CR25","doi-asserted-by":"crossref","unstructured":"Gu\u00e9ziec, A. 1993. Large deformable splines, crest lines and matching,Proc. 4th Intern. Conf. Comput. Vis., Berlin, May.","DOI":"10.1109\/ICCV.1993.378150"},{"key":"CR26","doi-asserted-by":"crossref","unstructured":"Gu\u00e9ziec, A., and Ayache, N. 1992. Smoothing and matching of 3-D-space curves,Proc. 2nd Europ. Conf. Comput. Vis., Santa Margherita Ligure, Italy, May.","DOI":"10.1117\/12.131083"},{"key":"CR27","doi-asserted-by":"crossref","unstructured":"Herlin, I., and Ayache, N. 1992. Features extraction and analysis methods for sequences of ultrasound images,Proc. 2nd Europ. Conf. Comput. Vis., Santa Margherita Ligure, Italy, May.","DOI":"10.1007\/3-540-55426-2_6"},{"key":"CR28","doi-asserted-by":"crossref","first-page":"233","DOI":"10.2307\/2001941","volume":"11","author":"J.C. Holladay","year":"1957","unstructured":"Holladay, J.C. 1957. Smoothest curve approximation,Math. Tables Aids Computation 11:233?243.","journal-title":"Math. Tables Aids Computation"},{"key":"CR29","doi-asserted-by":"crossref","unstructured":"Kishon, E., Hastie, T., and Wolfson, H. 1990. 3-D curve matching using splines,Proc. 1st Europ. Conf. Comput. Vis., Antibes, France, April.","DOI":"10.1007\/BFb0014915"},{"key":"CR30","volume-title":"Curve and Surface Fitting, an Introduction","author":"P. Lancaster","year":"1986","unstructured":"Lancaster, P., and Salkauskas, K. 1986.Curve and Surface Fitting, an Introduction. Academic Press, San Diego, CA."},{"key":"CR31","unstructured":"Malandain, G., Bertrand, G., and Ayache, N. 1991. Topological segmentation of discrete surface structures,Proc. Conf. Comput. Vis. Patt. Recog., Hawaii, June."},{"key":"CR32","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/0021-9045(84)90121-7","volume":"41","author":"S.P. Marin","year":"1984","unstructured":"Marin, S.P. 1984. An approach to data parametrization in parametric cubic spine interpolation,J. Approx. Theory 41:64?86.","journal-title":"J. Approx. Theory"},{"key":"CR33","doi-asserted-by":"crossref","unstructured":"Monga, O., Ayache, N., and Sander P. 1991. From voxels to curvature,Proc. Conf. Comput. Vis. Patt. Recog., Hawaii, June.","DOI":"10.1117\/12.48440"},{"key":"CR34","unstructured":"Monga, O., Benayoun, S. and Faugeras, O.D. 1992. Using third order derivatives to extract ridge lines in 3-D images,Proc. Conf. Comput. Vis. Patt. Recog., Urbana Champaign, June."},{"key":"CR35","doi-asserted-by":"crossref","unstructured":"Monga, O., Deriche, R. and Rocchisani, J.-M. 1991. 3-D edge detection using recursive filtering: Application to scanner images,Comput. Vis. Graph. Image Process., January.","DOI":"10.1016\/1049-9660(91)90006-B"},{"key":"CR36","volume-title":"The Theory of Splines and Their Applications","author":"E.N. Nilson","year":"1967","unstructured":"Nilson, E.N., Ahlberg, J.H., and Walsh, J.L. 1967.The Theory of Splines and Their Applications. Academic Press: New York."},{"key":"CR37","volume-title":"Structural Pattern Recognition","author":"T. Pavlidis","year":"1977","unstructured":"Pavlidis, T. 1977.Structural Pattern Recognition. Springer-Verlag: New York."},{"key":"CR38","doi-asserted-by":"crossref","unstructured":"Plass, M. and Stone, M. 1983. Curve fitting with piecewise parametric cubics,Siggraph, pp. 229?239, July.","DOI":"10.1145\/964967.801153"},{"key":"CR39","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/BF02162161","volume":"10","author":"C.H. Reinsch","year":"1967","unstructured":"Reinsch, C.H. 1967. Smoothing by spline functions,Numerische Mathematik 10:177?183.","journal-title":"Numerische Mathematik"},{"key":"CR40","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1007\/BF02169154","volume":"16","author":"C.H. Reinsch","year":"1970","unstructured":"Reinsch, C.H. 1970. Smoothing by spline functions II,Numerische Mathematik 16:451?454.","journal-title":"Numerische Mathematik"},{"key":"CR41","unstructured":"Rigoutsos, I. 1992.Massively parallel Bayesian object recognition. Ph.D. thesis, New York University."},{"key":"CR42","unstructured":"Rigoutsos, I., and Hummel, R. 1991. Robust similarity invariant matching in the presence of noise: A data parallel approach,Proc. 8th Israeli Conf. Artif. Intell. Comput. Vis., December."},{"key":"CR43","doi-asserted-by":"crossref","unstructured":"Saint-Marc, P. and Medioni, G. 1990. B-spline contour representation and symmetry detection,Proc. 1st Europ. Conf. Comput. Vis., Antibes, April.","DOI":"10.1007\/BFb0014920"},{"key":"CR44","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1177\/027836498700600203","volume":"6","author":"J.T. Schwartz","year":"1987","unstructured":"Schwartz, J.T., and Sharir, M. 1987. Identification of partially obscured objects in two and three dimensions by matching noisy characteristic curves,Intern. J. Robot. Res. 6:229?244.","journal-title":"Intern. J. Robot. Res."},{"key":"CR45","doi-asserted-by":"crossref","first-page":"584","DOI":"10.1080\/01621459.1984.10478084","volume":"79","author":"B.W. Silverman","year":"1984","unstructured":"Silverman, B.W. 1984. A fast and efficient cross-validation method for smoothing parameter choice in spline regression,J. Amer. Statist. Assoc. 79:584?589, September.","journal-title":"J. Amer. Statist. Assoc."},{"key":"CR46","unstructured":"Stein, F. 1991. Structural hashing: Efficient 3-D object recognition,Proc. Intern. Conf. Comput. Vis. Patt. Recog., Hawaii, June."},{"key":"CR47","unstructured":"Thirion, J.P. and Gourdon, A. 1992. The 3-D matching lines algorithm and its application to crest lines extraction, Tech. Rept. 1672, INRIA, May."},{"key":"CR48","unstructured":"Thirion, J.P. and Gjoourdon, A. 1993. The matching lines algorithm: new results and proofs, Tech. Rept. 1881, INRIA."},{"key":"CR49","doi-asserted-by":"crossref","unstructured":"Thirion, J.P., Gourdon, A., Monga, O., Gu\u00e9ziec, A., and Ayache, N. 1992. Automatic registraction of 3-D CAT-SCAN images using surface curvature,Proc. 14th Annu. Intern. Conf. IEEE Engineer. Med. Biol. Soc. Satellite Symposium on 3-D Advanced Image Processing in Medicine, Rennes, France. November.","DOI":"10.1109\/IEMBS.1992.590226"},{"key":"CR50","unstructured":"Thompson, D.W. and Mundy, J.L. 1987. 3-D model matching from an unconstrained viewpoint,Proc. Intern. Conf. Robot. Autom., pp. 208?220."},{"key":"CR51","volume-title":"Automatic data visualization using spline functions","author":"Shin Wang","year":"1990","unstructured":"Wang, Shin, Ywan and Ferrari, L.A. 1990. Automatic data visualization using spline functions. Unpublished manuscript, Department of Electrical and Computer Engineering, University of California, Irvine CA 92717."},{"key":"CR52","unstructured":"Zhang, Zhengyou. 1992. Iterative point matching for registration of free-form curves, Tech. Rept. 1658, INRIA, March."}],"container-title":["International Journal of Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01420985.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01420985\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01420985","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,2]],"date-time":"2023-05-02T21:47:52Z","timestamp":1683064072000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01420985"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,2]]},"references-count":52,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1994,2]]}},"alternative-id":["BF01420985"],"URL":"https:\/\/doi.org\/10.1007\/bf01420985","relation":{},"ISSN":["0920-5691","1573-1405"],"issn-type":[{"value":"0920-5691","type":"print"},{"value":"1573-1405","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,2]]}}}