{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T14:35:53Z","timestamp":1774881353413,"version":"3.50.1"},"reference-count":60,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2003,3,1]],"date-time":"2003-03-01T00:00:00Z","timestamp":1046476800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2003,3,1]],"date-time":"2003-03-01T00:00:00Z","timestamp":1046476800000},"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":[[2003,3]]},"DOI":"10.1023\/a:1022168617945","type":"journal-article","created":{"date-parts":[[2003,3,22]],"date-time":"2003-03-22T00:29:05Z","timestamp":1048292945000},"page":"169-189","source":"Crossref","is-referenced-by-count":38,"title":["Scale Space Hierarchy"],"prefix":"10.1007","volume":"18","author":[{"given":"Arjan","family":"Kuijper","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luc M.J.","family":"Florack","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Max A.","family":"Viergever","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5112656_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-96799-3","volume-title":"Catastrophe Theory","author":"V.I. Arnold","year":"1984","unstructured":"V.I. Arnold, Catastrophe Theory, Springer: Berlin, 1984."},{"key":"5112656_CR2","volume-title":"Dynamical Systems VI: Singularity Theory I, Vol. 6 of Encyclopaedia of Mathematical Sciences","year":"1993","unstructured":"V.I. Arnold (Ed.), Dynamical Systems VI: Singularity Theory I, Vol. 6 of Encyclopaedia of Mathematical Sciences, Springer-Verlag: Berlin, 1993."},{"key":"5112656_CR3","unstructured":"J. Blom, \u201cTopological and geometrical aspects of image structure,\u201d Ph.D. Thesis, Utrecht University, 1992."},{"issue":"1","key":"5112656_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1006\/jvci.1993.1001","volume":"4","author":"J. Blom","year":"1993","unstructured":"J. Blom, B.M. ter Haar Romeny, A. Bel, and J.J. Koenderink, \u201cSpatial derivatives and the propagation of noise in Gaussian scale-space,\u201d Journal of Visual Communication and Image Representation, Vol. 4, No. 1, pp. 1\u201313, 1993.","journal-title":"Journal of Visual Communication and Image Representation"},{"key":"5112656_CR5","volume-title":"Curves and Singularities","author":"J.W. Bruce","year":"1984","unstructured":"J.W. Bruce and P.J. Giblin, Curves and Singularities, Cambridge University Press: Cambridge, UK, 1984."},{"key":"5112656_CR6","unstructured":"C.A. Cocosco, V. Kollokian, R.K.-S. Kwan, and A.C. Evans, \u201cBrainweb: Online interface to a 3D mri simulated brain database,\u201d in NeuroImage\u2014Proceedings of 3rd International Conference on Functional Mapping of the Human Brain, Copenhagen, May 1997, Vol. 5, No. 4, Part 2\/4, S425."},{"issue":"3","key":"5112656_CR7","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1109\/42.712135","volume":"17","author":"D.L. Collins","year":"1998","unstructured":"D.L. Collins, A.P. Zijdenbos, V. Kollokian, J.G. Sled, N.J. Kabani, C.J. Holmes, and A.C. Evans, \u201cDesign and construction of a realistic digital brain phantom,\u201d IEEE Transactions on Medical Imaging, Vol. 17, No. 3, pp. 463\u2013468, 1998.","journal-title":"IEEE Transactions on Medical Imaging"},{"issue":"2","key":"5112656_CR8","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1006\/jdeq.1995.1019","volume":"115","author":"J. Damon","year":"1995","unstructured":"J. Damon, \u201cLocal Morse theory for solutions to the heat equation and Gaussian blurring,\u201d Journal of Differential Equations, Vol. 115, No. 2, pp. 386\u2013401, 1995.","journal-title":"Journal of Differential Equations"},{"key":"5112656_CR9","doi-asserted-by":"crossref","unstructured":"J. Damon, \u201cGeneric properties of solutions to partial differential equations,\u201d Arch. Rat. Mech. Anal., pp. 353\u2013403, 1997.","DOI":"10.1007\/s002050050071"},{"key":"5112656_CR10","series-title":"Computational Imaging and Vision Series","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/978-94-015-8802-7_11","volume-title":"Gaussian Scale-Space Theory","author":"J. Damon","year":"1997","unstructured":"J. Damon, \u201cLocal Morse theory for Gaussian blurred functions,\u201d in Gaussian Scale-Space Theory, 2nd edn., Vol. 8 of Computational Imaging and Vision Series, J. Sporring et al. (Eds.), Kluwer: Dordrecht, 1997, pp. 147\u2013162.","edition":"2nd edn."},{"key":"5112656_CR11","series-title":"Computational Imaging and Vision Series","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-8845-4","volume-title":"Image Structure","author":"L.M.J. Florack","year":"1997","unstructured":"L.M.J. Florack, Image Structure, Vol. 10 of Computational Imaging and Vision Series, Kluwer Academic Publishers: Dordrecht, The Netherlands, 1997."},{"issue":"1","key":"5112656_CR12","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1023\/A:1008304909717","volume":"12","author":"L.M.J. Florack","year":"2000","unstructured":"L.M.J. Florack and A. Kuijper, \u201cThe topological structure of scale-space images,\u201d Journal of Mathematical Imaging and Vision, Vol. 12, No. 1, pp. 65\u201380, 2000.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"5112656_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/978-4-431-66956-2","volume-title":"Topological Modeling for Visualization","author":"A.T. Fomenko","year":"1997","unstructured":"A.T. Fomenko and T.L. Kunii, Topological Modeling for Visualization, Springer-Verlag: Tokyo, 1997."},{"key":"5112656_CR14","volume-title":"Catastrophe Theory for Scientists and Engineers","author":"R. Gilmore","year":"1993","unstructured":"R. Gilmore, Catastrophe Theory for Scientists and Engineers, Dover, 1993. Originally published by John Wiley & Sons: New York, dy1981."},{"key":"5112656_CR15","unstructured":"L.D. Griffin, \u201cDescriptions of image structure,\u201d Ph.D. Thesis, University of London, 1995."},{"issue":"7","key":"5112656_CR16","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1016\/0262-8856(95)91145-4","volume":"13","author":"L.D. Griffin","year":"1995","unstructured":"L.D. Griffin and A. Colchester, \u201cSuperficial and deep structure in linear diffusion scale space: Isophotes, critical points and separatrices,\u201d Image and Vision Computing, Vol. 13, No. 7, pp. 543\u2013557, 1995.","journal-title":"Image and Vision Computing"},{"key":"5112656_CR17","series-title":"Computational Imaging and Vision Series","volume-title":"Geometry-Driven Diffusion in Computer Vision","year":"1994","unstructured":"B.M. ter Haar Romeny (Ed.), Geometry-Driven Diffusion in Computer Vision, Vol. 1 of Computational Imaging and Vision Series, Kluwer Academic Publishers: Dordrecht, 1994."},{"key":"5112656_CR18","series-title":"Lecture Notes in Computer Science","volume-title":"Scale-Space Theory in Computer Vision, Proceedings of the First International Conference, Scale-Space'97","year":"1997","unstructured":"B.M. ter Haar Romeny, L.M.J. Florack, J.J. Koenderink, and M.A. Viergever (Eds.), Scale-Space Theory in Computer Vision, Proceedings of the First International Conference, Scale-Space'97, Utrecht, The Netherlands, Vol. 1252 of Lecture Notes in Computer Science, Springer-Verlag: Berlin, 1997."},{"key":"5112656_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/3-540-60268-2_278","volume-title":"Computer Analysis of Images and Patterns","author":"R.D. Henkel","year":"1995","unstructured":"R.D. Henkel, \u201cSegmentation in scale space,\u201d in Computer Analysis of Images and Patterns, Vol. 970 of Lecture Notes in Computer Science, Springer-Verlag: Berlin, 1995, pp. 41-48."},{"key":"5112656_CR20","first-page":"368","volume":"26","author":"T. Iijima","year":"1962","unstructured":"T. Iijima, \u201cBasic theory of pattern normalization (for the case of a typical one-dimensional pattern),\u201d Bulletin of the Electrotechnical Laboratory, Vol. 26, pp. 368\u2013388, 1962 (in Japanese).","journal-title":"Bulletin of the Electrotechnical Laboratory"},{"issue":"1","key":"5112656_CR21","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/BF01250004","volume":"4","author":"P. Johansen","year":"1994","unstructured":"P. Johansen, \u201cOn the classification of toppoints in scale space,\u201d Mathematical Imaging and Vision, Vol. 4, No. 1, pp. 57\u201367, 1994.","journal-title":"Mathematical Imaging and Vision"},{"key":"5112656_CR22","series-title":"Computational Imaging and Vision Series","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/978-94-015-8802-7_10","volume-title":"Gaussian Scale-Space Theory","author":"P. Johansen","year":"1997","unstructured":"P. Johansen, \u201cLocal analysis of image scale space,\u201d in Gaussian Scale-Space Theory, Vol. 8 of Computational Imaging and Vision Series, J. Sporring et al. (Eds.), Kluwer: Dordrecht, 1997, pp. 139\u2013146."},{"key":"5112656_CR23","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1023\/A:1011241531216","volume":"13","author":"P. Johansen","year":"2000","unstructured":"P. Johansen, M. Nielsen, and O.F. Olsen, \u201cBranch points in one-dimensional Gaussian scale space,\u201d Journal of Mathematical Imaging and Vision, Vol. 13, pp. 193\u2013203, 2000.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"5112656_CR24","unstructured":"P. Johansen, S. Skelboe, K. Grue, and J.D. Andersen, \u201cRepresenting signals by their toppoints in scale space,\u201d in Proceedings of the International Conference on Image Analysis and Pattern Recognition, Paris, France, October 1986, IEEE Computer Society Press, 1986, pp. 215\u2013217."},{"key":"5112656_CR25","series-title":"Computational Imaging and Vision Series","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1007\/978-94-015-8802-7_13","volume-title":"Gaussian Scale-Space Theory","author":"S. Kalitzin","year":"1997","unstructured":"S. Kalitzin, \u201cTopological numbers and singularities,\u201d in Gaussian Scale-Space Theory, Vol. 8 of Computational Imaging and Vision Series, J. Sporring et al. (Eds.), Kluwer: Dordrecht, 1997, pp. 181\u2013190."},{"issue":"3","key":"5112656_CR26","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1023\/A:1008376504545","volume":"9","author":"S.N. Kalitzin","year":"1998","unstructured":"S.N. Kalitzin, B.M. ter Haar Romeny, A.H. Salden, P.F.M. Nacken, and M.A. Viergever, \u201cTopological numbers and singularities in scalar images. Scale-space evolution properties,\u201d Journal of Mathematical Imaging and Vision, Vol. 9, No. 3, pp. 253\u2013296, 1998.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"5112656_CR27","series-title":"Lecture Notes in Computer Science","volume-title":"Scale-Space and Morphology in Computer Vision","year":"2001","unstructured":"M. Kerckhove (Ed.), Scale-Space and Morphology in Computer Vision, Vol. 2106 of Lecture Notes in Computer Science, Springer-Verlag: Berlin, 2001."},{"key":"5112656_CR28","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1007\/BF00336961","volume":"50","author":"J.J. Koenderink","year":"1984","unstructured":"J.J. Koenderink, \u201cThe structure of images,\u201d Biological Cybernetics, Vol. 50, pp. 363\u2013370, 1984.","journal-title":"Biological Cybernetics"},{"key":"5112656_CR29","volume-title":"The Physics of Structure Formation: Theory and Simulation","author":"J.J. Koenderink","year":"1986","unstructured":"J.J. Koenderink, \u201cThe structure of the visual field,\u201d In The Physics of Structure Formation: Theory and Simulation, Proceedings of an International Symposium, Tubingen, Germany, October 27\u2013November 2 1986, W. Guttinger and G. Dangelmayr (Eds.), Springer-Verlag: Berlin, 1986."},{"issue":"11","key":"5112656_CR30","doi-asserted-by":"crossref","first-page":"1222","DOI":"10.1109\/34.42861","volume":"11","author":"J.J. Koenderink","year":"1989","unstructured":"J.J. Koenderink, \u201cA hitherto unnoticed singularity of scale space,\u201d IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 11, No. 11, pp. 1222\u20131224, 1989.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"5112656_CR31","volume-title":"Solid Shape","author":"J.J. Koenderink","year":"1990","unstructured":"J.J. Koenderink, Solid Shape, MIT Press: Cambridge, MA, 1990."},{"key":"5112656_CR32","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/BF00337293","volume":"33","author":"J.J. Koenderink","year":"1979","unstructured":"J.J. Koenderink and A.J. van Doorn, \u201cThe structure of two-dimensional scalar fields with applications to vision,\u201d Biological Cybernetics, Vol. 33, pp. 151\u2013158, 1979.","journal-title":"Biological Cybernetics"},{"key":"5112656_CR33","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. van Doorn, \u201cDynamic shape,\u201d Biological Cybernetics, Vol. 53, pp. 383\u2013396, 1986.","journal-title":"Biological Cybernetics"},{"key":"5112656_CR34","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"318","DOI":"10.1007\/3-540-48236-9_28","volume-title":"Scale-Space Theories in Computer Vision","author":"A. Kuijper","year":"1999","unstructured":"A. Kuijper and L.M.J. Florack, \u201cCalculations on critical points under Gaussian blurring,\u201d in Scale-Space Theories in Computer Vision, Vol. 1682 of Lecture Notes in Computer Science, M., Nielsen et al. (Eds.), Springer-Verlag: Berlin, 1999, pp. 318\u2013329."},{"key":"5112656_CR35","doi-asserted-by":"crossref","unstructured":"A. Kuijper and L.M.J. Florack, \u201cHierarchical pre-segmentation without prior knowledge,\u201d in Proceedings of the 8th International Conference on Computer Vision,Vancouver, Canada, July 9\u201312, 2001, pp. 487\u2013493.","DOI":"10.1109\/ICCV.2001.937665"},{"key":"5112656_CR36","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1007\/BFb0046947","volume-title":"Visualization in Biomedical Computing (VBC'96)","author":"R.K.-S. Kwan","year":"1996","unstructured":"R.K.-S. Kwan, A.C. Evans, and G.B. Pike, \u201cAn extensible mri simulator for post-processing evaluation,\u201d in Visualization in Biomedical Computing (VBC'96), Vol. 1131 of Lecture Notes in Computer Science, Springer-Verlag: Berlin, 1996, pp. 135\u2013140."},{"issue":"6","key":"5112656_CR37","doi-asserted-by":"crossref","first-page":"529","DOI":"10.1109\/34.56189","volume":"12","author":"L.M. Lifshitz","year":"1990","unstructured":"L.M. Lifshitz and S.M. Pizer, \u201cA multiresolution hierarchical approach to image segmentation based on intensity extrema,\u201d IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 12, No. 6, pp. 529\u2013540, 1990.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"5112656_CR38","series-title":"Series in Machine Perception and Artificial Intelligence","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1142\/9789812797896_0005","volume-title":"Theory & Applications of Image Analysis","author":"T. Lindeberg","year":"1992","unstructured":"T. Lindeberg, \u201cOn the behaviour in scale-space of local extrema and blobs,\u201d in Theory & Applications of Image Analysis, Vol. 2 of Series in Machine Perception and Artificial Intelligence, P. Johansen and S. Olsen (Eds.), World Scientific: Singapore, 1992, pp. 38\u201347."},{"issue":"1","key":"5112656_CR39","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/BF00135225","volume":"1","author":"T. Lindeberg","year":"1992","unstructured":"T. Lindeberg, \u201cScale-space behaviour of local extrema and blobs,\u201d Journal of Mathematical Imaging and Vision, Vol. 1, No. 1, pp. 65\u201399, 1992.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"5112656_CR40","series-title":"The Kluwer International Series in Engineering and Computer Science","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-6465-9","volume-title":"Scale-Space Theory in Computer Vision","author":"T. Lindeberg","year":"1994","unstructured":"T. Lindeberg, Scale-Space Theory in Computer Vision, The Kluwer International Series in Engineering and Computer Science, Kluwer Academic Publishers: Dordrecht, 1994."},{"key":"5112656_CR41","series-title":"Lecture Notes in Computer Vision","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/3-540-47778-0_15","volume-title":"Scale-Space and Morphology in Computer Vision","author":"M. Loog","year":"2001","unstructured":"M. Loog, J.J. Duistermaat, and L.M.J. Florack, \u201cOn the behavior of spatial critical points under Gaussian blurring. A folklore theorem and scale-space constraints,\u201d in Scale-Space and Morphology in Computer Vision, Vol. 2106 of Lecture Notes in Computer Vision, M. Kerckhove (Ed.), Springer-Verlag: Berlin, 2001, pp. 183\u2013192."},{"key":"5112656_CR42","volume-title":"Singularity Theory and an Introduction to Catastrophe Theory","author":"Y.-C. Lu","year":"1976","unstructured":"Y.-C. Lu, Singularity Theory and an Introduction to Catastrophe Theory, Springer-Verlag: Berlin, 1976."},{"key":"5112656_CR43","series-title":"Lecture Notes in Computer Science","volume-title":"Scale-Space Theories in Computer Vision","year":"1999","unstructured":"M. Nielsen, P. Johansen, O.F. Olsen, and J. Weickert (Eds.), Scale-Space Theories in Computer Vision, Vol. 1682 of Lecture Notes in Computer Science, Springer-Verlag: Berlin, 1999."},{"key":"5112656_CR44","series-title":"Computational Imaging and Vision Series","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1007\/978-94-015-8802-7_14","volume-title":"Gaussian Scale-Space Theory","author":"O.F. Olsen","year":"1997","unstructured":"O.F. Olsen, \u201cMulti-scale watershed segmentation,\u201d in Gaussian Scale-Space Theory, Vol. 8 of Computational Imaging and Vision Series, J. Sporring et al. (Eds.), Kluwer: Dordrecht, 1997, pp. 191\u2013200."},{"key":"5112656_CR45","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/3-540-63167-4_43","volume-title":"Scal-Space Theory in Computer Vision","author":"O.F. Olsen","year":"1997","unstructured":"O.F. Olsen and M. Nielsen, \u201cGeneric events for the gradient squared with application to multi-scale segmentation,\u201d in Scal-Space Theory in Computer Vision, Vol. 1252 of Lecture Notes in Computer Science, B.M. ter Haar Romeny et al. (Eds.), Springer-Verlag: Berlin, 1997, pp. 101\u2013112."},{"key":"5112656_CR46","doi-asserted-by":"crossref","unstructured":"O.F. Olsen and M. Nielsen, \u201cMulti-scale gradient magnitude watershed segmentation,\u201d in ICIAP'97\u20149th International Conference on Image Analysis and Processing, Vol. 1310 of Lecture Notes in Computer Science, 1997, pp. 6\u201313.","DOI":"10.1007\/3-540-63507-6_178"},{"key":"5112656_CR47","volume-title":"Mathematical Studies on Feature Extraction in Pattern Recognition","author":"N. Otsu","year":"1981","unstructured":"N. Otsu, \u201cMathematical Studies on Feature Extraction in Pattern Recognition,\u201d Ph.D. Thesis, Electronical Laboratory, Ibaraki, Japan, 1981 (in Japanese)."},{"key":"5112656_CR48","volume-title":"Catastrophe Theory and its Applications","author":"T. Poston","year":"1978","unstructured":"T. Poston and I.N. Stewart, Catastrophe Theory and its Applications, Pitman: London, 1978."},{"key":"5112656_CR49","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1007\/BF01248372","volume":"5","author":"J.H. Rieger","year":"1995","unstructured":"J.H. Rieger, \u201cGeneric evolutions of edges on families of diffused greyvalue surfaces,\u201d Journal of Mathematical Imaging and Vision, Vol. 5, pp. 207\u2013217, 1995.","journal-title":"Journal of Mathematical Imaging and Vision"},{"issue":"3","key":"5112656_CR50","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1109\/42.712127","volume":"17","author":"A. Simmons","year":"1998","unstructured":"A. Simmons, S.R. Arridge, P.S. Tofts, and G.J. Barker, \u201cApplication of the extremum stack to neurological MRI,\u201d IEEE Transactions on Medical Imaging, Vol. 17, No. 3, pp. 371\u2013382, 1998.","journal-title":"IEEE Transactions on Medical Imaging"},{"key":"5112656_CR51","series-title":"Computational Imaging and Vision Series","volume-title":"Gaussian Scale-Space Theory","year":"1997","unstructured":"J. Sporring, M. Nielsen, L.M.J. Florack, and P. Johansen (Eds.), Gaussian Scale-Space Theory, Vol. 8 of Computational Imaging and Vision Series, 2nd end., Kluwer Academic Publishers: Dordrecht, 1997.","edition":"2nd end."},{"key":"5112656_CR52","volume-title":"Stabilit\u00e9 Structurelle et Morphog\u00e9n\u00e8se","author":"R. Thom","year":"1972","unstructured":"R. Thom, Stabilit\u00e9 Structurelle et Morphog\u00e9n\u00e8se, Benjamin: New York, 1972."},{"key":"5112656_CR53","unstructured":"R. Thom, Structural Stability and Morphogenesis, Benjamin-Addison Wesley, 1975. Translated by D.H. Fowler."},{"issue":"2","key":"5112656_CR54","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1109\/34.574787","volume":"19","author":"K.L. Vincken","year":"1997","unstructured":"K.L. Vincken, A.S.E. Koster,and M.A. Viergever,\u201cProbabilistic multiscale image segmentation,\u201d IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 19, No. 2, pp. 109\u2013120, 1997.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"5112656_CR55","first-page":"103","volume":"II","author":"T. Wada","year":"1990","unstructured":"T. Wada and M. Sato, \u201cScale-space tree and its hierarchy,\u201d in ICPR90, 1990, Vol. II, pp. 103\u2013108.","journal-title":"ICPR90"},{"key":"5112656_CR56","volume-title":"Anisotropic Diffusion in Image Processing","author":"J.A. Weickert","year":"1998","unstructured":"J.A. Weickert, Anisotropic Diffusion in Image Processing, Teubner: Stuttgart, 1998."},{"key":"5112656_CR57","series-title":"Computational Imaging and Vision Series","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/978-94-015-8802-7_4","volume-title":"Gaussian Scale-Space Theory","author":"J.A. Weickert","year":"1997","unstructured":"J.A. Weickert, S. Ishikawa, and A. Imiya, \u201cOn the history of Gaussian scale-space axiomatics,\u201d in Gaussian Scale-Space Theory, Vol. 8 of Computational Imaging and Vision Series, J. Sporring et al. (Eds.), Kluwer: Dordrecht, 1997, pp. 45\u201359."},{"issue":"3","key":"5112656_CR58","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1023\/A:1008344623873","volume":"10","author":"J.A. Weickert","year":"1999","unstructured":"J.A. Weickert, S. Ishikawa, and A. Imiya, \u201cLinear scale-space has first been proposen in Japan,\u201d Journal of Mathematical Imaging and Vision, Vol. 10, No. 3, pp. 237\u2013252, 1999.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"5112656_CR59","unstructured":"A.P. Witkin, \u201cScale-space filtering,\u201d in Proceedings of the Eighth International Joint Conference on Artificial Intelligence, 1983, pp. 1019\u20131022."},{"key":"5112656_CR60","first-page":"1125","volume":"J68-D","author":"N. Zhao","year":"1985","unstructured":"N. Zhao and T. Iijima, \u201cA theory of feature extraction by the tree of stable view-points,\u201d IECE Japan, Trans. D, Vol. J68-D, pp. 1125\u20131132, 1985 (in Japanese).","journal-title":"IECE Japan, Trans. D"}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1022168617945.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1022168617945\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1022168617945.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,12]],"date-time":"2025-06-12T10:26:56Z","timestamp":1749724016000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1022168617945"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,3]]},"references-count":60,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2003,3]]}},"alternative-id":["5112656"],"URL":"https:\/\/doi.org\/10.1023\/a:1022168617945","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,3]]}}}