{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T21:54:13Z","timestamp":1725573253083},"publisher-location":"Berlin, Heidelberg","reference-count":11,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540298366"},{"type":"electronic","value":"9783540320975"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2005]]},"DOI":"10.1007\/11577812_22","type":"book-chapter","created":{"date-parts":[[2005,11,22]],"date-time":"2005-11-22T06:28:13Z","timestamp":1132640893000},"page":"249-258","source":"Crossref","is-referenced-by-count":1,"title":["A Note on Local Morse Theory in Scale Space and Gaussian Deformations"],"prefix":"10.1007","author":[{"given":"Jan\u2013Cees","family":"van der Meer","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"22_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1070\/RM1968v023n01ABEH001232","volume":"23","author":"V.I. Arnold","year":"1968","unstructured":"Arnold, V.I.: Singularities of Smooth Mappings. Russian math. Suveys\u00a023, 1\u201343 (1968)","journal-title":"Russian math. Suveys"},{"key":"22_CR2","doi-asserted-by":"publisher","first-page":"254","DOI":"10.1007\/BF01077644","volume":"6","author":"V.I. Arnold","year":"1972","unstructured":"Arnold, V.I.: Normal forms for Functions near Degenerate Critical Points, the Weyl Groups of A k , D k , E k and Lagrangian Singularities. Funct. Anal. Appl.\u00a06, 254\u2013272 (1972)","journal-title":"Funct. Anal. Appl."},{"key":"22_CR3","doi-asserted-by":"publisher","first-page":"368","DOI":"10.1006\/jdeq.1995.1019","volume":"115","author":"J. Damon","year":"1995","unstructured":"Damon, J.: Local Morse Theory for Solutions to the Heat Equation and Gaussian Blurring. J. Diff. Eq.\u00a0115, 368\u2013401 (1995)","journal-title":"J. Diff. Eq."},{"key":"22_CR4","unstructured":"Damon, J.: Scale-Based Geometry of Nondifferentiable Functions, Measures, and Distributions, Parts I,II,III Dept. of Math. University of North Carolina at Chapel Hill (2002) (perprint)"},{"key":"22_CR5","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1023\/B:JMIV.0000024043.96722.aa","volume":"20","author":"R. Duits","year":"2004","unstructured":"Duits, R., Florack, L., De Graaf, J., Ter Haar Romeny, B.: On the Axioms of Scale Space Theory. J. of Math. Imaging and Vision\u00a020, 267\u2013298 (2004)","journal-title":"J. of Math. Imaging and Vision"},{"key":"22_CR6","unstructured":"Florack, L., Koenderink, J.: A priori Scale in Classical Scalar and Density Fields, Univ. of Utrecht (1997) (preprint), http:\/\/webdoc.sub.gwdg.de\/ebook\/ah\/2000\/techrep\/CS-1997\/1997-26.pdf"},{"key":"22_CR7","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1023\/A:1008304909717","volume":"12","author":"L. Florack","year":"2000","unstructured":"Florack, L., Kuijper, A.: The Topological Structure of Scale-Space Images. J. of Math. Imaging and Vision\u00a012, 65\u201379 (2000)","journal-title":"J. of Math. Imaging and Vision"},{"key":"22_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1140-2","volume-title":"Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields","author":"J. Guckenheimer","year":"1983","unstructured":"Guckenheimer, J., Holmes, P.: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Springer, New-York (1983)"},{"key":"22_CR9","unstructured":"Kuijper, A., Florack, L.J.M.: The Application of Catastrophe Theory to Image Analysis, Univ. of Utrecht (2001) (preprint)"},{"key":"22_CR10","series-title":"London Math. Soc. Lect. Notes Series","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0092655","volume-title":"Singularities of Smooth Functions and Maps","author":"J. Martinet","year":"1982","unstructured":"Martinet, J.: Singularities of Smooth Functions and Maps. London Math. Soc. Lect. Notes Series, vol.\u00a058. Cambridge University Press, Cambridge (1982)"},{"key":"22_CR11","doi-asserted-by":"crossref","unstructured":"Poston, T., Stewart, I.: Catastrophe Theory and Its Applications, Pitman, London (1978)","DOI":"10.1063\/1.2995174"}],"container-title":["Lecture Notes in Computer Science","Deep Structure, Singularities, and Computer Vision"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11577812_22","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,5]],"date-time":"2023-05-05T14:34:59Z","timestamp":1683297299000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11577812_22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005]]},"ISBN":["9783540298366","9783540320975"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/11577812_22","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2005]]}}}