{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,6]],"date-time":"2026-06-06T02:08:34Z","timestamp":1780711714652,"version":"3.54.1"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1999,12,1]],"date-time":"1999-12-01T00:00:00Z","timestamp":944006400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1999,12,1]],"date-time":"1999-12-01T00:00:00Z","timestamp":944006400000},"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 Mathematical Imaging and Vision"],"published-print":{"date-parts":[[1999,12]]},"DOI":"10.1023\/a:1008312821522","type":"journal-article","created":{"date-parts":[[2002,12,22]],"date-time":"2002-12-22T14:41:38Z","timestamp":1040568098000},"page":"277-299","source":"Crossref","is-referenced-by-count":10,"title":["A Scale-Space Medialness Transform Based on Boundary Concordance Voting"],"prefix":"10.1007","volume":"11","author":[{"given":"Ming","family":"Xu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"David","family":"Pycock","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"241314_CR1","unstructured":"H. Blum, \u201cA transformation for extracting new descriptors of shape,\u201d in Models for the Perception of Speech and Vision Forms, W. Wathen-Dunn (Ed.), MIT Press, 1967, pp. 362\u2013380."},{"key":"241314_CR2","doi-asserted-by":"crossref","unstructured":"G. Borgefors, G. Ramella, and G. Sanniti di Baja, \u201cCoarse-to-fine skeletons from grey-level pyramids,\u201d in Proc. Int. Conf. Pattern Recognition, 1998, pp. 400\u2013402.","DOI":"10.1109\/ICPR.1998.711165"},{"key":"241314_CR3","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1109\/TPAMI.1984.4767500","volume":"6","author":"J.L. Crowley","year":"1984","unstructured":"J.L. Crowley and A.C. Parker, \u201cA representation for shape based on peaks and ridges in the difference of low-pass transform,\u201d IEEE Trans. Patt. Anal. Machine Intell., Vol. 6, 1984, pp. 156\u2013169.","journal-title":"IEEE Trans. Patt. Anal. Machine Intell."},{"key":"241314_CR4","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1007\/BF01262402","volume":"4","author":"D. Eberly","year":"1994","unstructured":"D. Eberly, R.B. Gardner, B.S. Morse, S.M. Pizer, and C. Scharlach, \u201cRidges for image analysis,\u201d Journal of Mathematical Imaging and Vision, Vol. 4, 1994, pp. 351\u2013371.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"241314_CR5","unstructured":"D.S. Fritsch, \u201cRegistration of radiotherapy images using multiscale medial descriptions of image structure,\u201d Ph.D. Dissertation, Dept. of Biomedical Eng., Univ. of North Carolina at Chapel Hill, 1993."},{"key":"241314_CR6","volume-title":"Generalized functions","author":"I.M. Gel'fand","year":"1966","unstructured":"I.M. Gel'fand, M.I. Graev, and N.Y. Vilenkin, Generalized functions, Vol. 5, Academic Press: New York, 1966."},{"key":"241314_CR7","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1016\/0734-189X(83)90094-4","volume":"22","author":"R. Haralick","year":"1983","unstructured":"R. Haralick, \u201cRidges and valleys in digital images,\u201d Computer Vision, Graphics, Image Processing, Vol. 22, 1983, pp. 28\u201338.","journal-title":"Computer Vision, Graphics, Image Processing"},{"key":"241314_CR8","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/BF01451741","volume":"15","author":"B. Kimia","year":"1995","unstructured":"B. Kimia, A.R. Tannenbaum, and S.W. Zucker, \u201cShapes, shcks, and deformations I: The components of two-dimensional shape and the reaction-diffusion space,\u201d Int. J. Computer Vision, Vol. 15, 1995, pp. 189\u2013224.","journal-title":"Int. J. Computer Vision"},{"key":"241314_CR9","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1007\/BF00318204","volume":"53","author":"J.J. Koenderink","year":"1986","unstructured":"J.J. Koenderink and A.J. Doorn, \u201cDynamic shape,\u201d Biological Cybernetics, Vol. 53, 1986, pp. 383\u2013396.","journal-title":"Biological Cybernetics"},{"key":"241314_CR10","doi-asserted-by":"crossref","unstructured":"T.M. Koller, G. Gerig, G. Szekely, and D. Dettwiler, \u201cMultiscale detection of curvilinear structures in 2D and 3D image data,\u201d in Proc. Int. Conf. Computer Vision, 1995, pp. 864\u2013869.","DOI":"10.1109\/ICCV.1995.466846"},{"key":"241314_CR11","unstructured":"B.S. Morse, S.M. Pizer, and C.A. Burbeck, \u201cA Hough-like medial axis response function,\u201d Tech. Rep. TR91-044, Dept. of Comp. Sci., Univ. of North Carolina at Chapel Hill, 1991."},{"key":"241314_CR12","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/0262-8856(94)90057-4","volume":"12","author":"B.S. Morse","year":"1994","unstructured":"B.S. Morse, S.M. Pizer, and A. Liu, \u201cMultiscale medial analysis of medical images,\u201d Image and Vision Computing,Vol. 12, 1994, pp. 327\u2013338.","journal-title":"Image and Vision Computing"},{"key":"241314_CR13","unstructured":"B.S. Morse, \u201cComputation of object cores from greyscale images,\u201d Ph.D. Dissertation, Dept. of Comp. Sci., Univ. of North Carolina at Chapel Hill, 1994."},{"key":"241314_CR14","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1006\/cviu.1997.0564","volume":"69","author":"B.S. Morse","year":"1998","unstructured":"B.S. Morse, S.M. Pizer, D.T. Puff, and C. Gu, \u201cZoom-invariant vision of figure shape: effects on cores of image disturbances,\u201d Computer Vision and Image Understanding, Vol. 69, 1998, pp. 72\u201386.","journal-title":"Computer Vision and Image Understanding"},{"key":"241314_CR15","doi-asserted-by":"crossref","unstructured":"R.L. Ogniewicz, \u201cSkeleton-space: a multiscale shape description combining region and boundary information,\u201d in Proc. IEEE Conf. on Computer Vision and Pattern Recognition, 1994, pp. 746\u2013751.","DOI":"10.1109\/CVPR.1994.323891"},{"key":"241314_CR16","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1109\/TPAMI.1987.4767938","volume":"4","author":"S.M. Pizer","year":"1987","unstructured":"S.M. Pizer, W.R. Oliver, and S.H. Bloomberg, \u201cHierarchical shape detection via the multiresolution symmetric axis transform,\u201d IEEE Trans. Patt. Anal. Machine Intell., Vol. 4, 1987, pp. 505\u2013511.","journal-title":"IEEE Trans. Patt. Anal. Machine Intell."},{"key":"241314_CR17","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/BF01254105","volume":"4","author":"S.M. Pizer","year":"1994","unstructured":"S.M. Pizer, C.A. Burbeck, J.M. Coggins, D.S. Fritsch, and B.S. Morse, \u201cObject shape before boundary shape: scale-space medial axes,\u201d Journal of Mathematical Imaging and Vision, Vol. 4, 1994, pp. 303\u2013313.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"241314_CR18","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1006\/cviu.1997.0563","volume":"69","author":"S.M. Pizer","year":"1998","unstructured":"S.M. Pizer, B.S. Morse, D. Eberly, and D.S. Fritsch, \u201cZoominvariant vision of figural shape: The mathematics of cores,\u201d Computer Vision and Image Understanding, Vol. 69, 1998, pp. 55\u201371.","journal-title":"Computer Vision and Image Understanding"},{"issue":"2","key":"241314_CR19","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1006\/cviu.1997.0612","volume":"66","author":"S. Tari","year":"1997","unstructured":"S. Tari, J. Shah, and H. Pien, \u201cExtraction of shape skeletons from greyscale images,\u201d Computer Vision and Image Understanding, Vol. 66, No. 2, 1997, pp. 133\u2013146.","journal-title":"Computer Vision and Image Understanding"},{"key":"241314_CR20","doi-asserted-by":"crossref","unstructured":"B.M. ter Haar Romeny, L.M.J. Florack, J.J. Koenderink, and M.A. Viergever, \u201cScale-space: its natural operators anddifferential invariants,\u201d in Information Processing in Medical Imaging, A.C.F. Colchester and D.J. Hawkes (Eds.), Lecture Notes in Computer Science, Vol. 511, 1991, pp. 239\u2013255.","DOI":"10.1007\/BFb0033757"},{"key":"241314_CR21","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1109\/TPAMI.1982.4767274","volume":"4","author":"S. Wang","year":"1982","unstructured":"S. Wang, A. Rosenfeld, and A.Y. Wu, \u201cA medial axis transformation for greyscale pictures,\u201d IEEE Trans. Patt. Anal. Machine Intell., Vol. 4, 1982, pp. 419\u2013421.","journal-title":"IEEE Trans. Patt. Anal. Machine Intell."},{"key":"241314_CR22","unstructured":"A. Witkin, \u201cScale space filtering,\u201d in Proc. Int. Joint Conf. Artif. Intell., 1983, pp. 1019\u20131023."},{"key":"241314_CR23","unstructured":"M. Xu and D. Pycock, \u201cEstimating true symmetry in scale space,\u201d in Proc. IEEE Int. Conf. Systems, Man, and Cybernetics, 1998, pp. 4620\u20134625."}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008312821522.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1008312821522\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008312821522.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,12]],"date-time":"2025-06-12T10:32:07Z","timestamp":1749724327000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1008312821522"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,12]]},"references-count":23,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1999,12]]}},"alternative-id":["241314"],"URL":"https:\/\/doi.org\/10.1023\/a:1008312821522","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,12]]}}}