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231224s1984 xx ||||| 00| ||eng c |
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|a pubmed24n0703.xml
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|a (DE-627)NLM211014702
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|a (NLM)21869212
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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| 100 |
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|a Lee, R N
|e verfasserin
|4 aut
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|a Two-dimensional critical point configuration graphs
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|c 1984
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|a Text
|b txt
|2 rdacontent
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|a ohne Hilfsmittel zu benutzen
|b n
|2 rdamedia
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|a Band
|b nc
|2 rdacarrier
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|a Date Completed 02.10.2012
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|a Date Revised 12.11.2019
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|a published: Print
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|a Citation Status PubMed-not-MEDLINE
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| 520 |
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|a The configuration of the critical points of a smooth function of two variables is studied under the assumption that the function is Morse, that is, that all of its critical points are nondegenerate. A critical point configuration graph (CPCG) is derived from the critical points, ridge lines, and course lines of the function. Then a result from the theory of critical points of Morse functions is applied to obtain several constraints on the number and type of critical points that appear on cycles of a CPCG. These constraints yield a catalog of equivalent CPCG cycles containing four entries. The slope districts induced by a critical point configuration graph appear useful for describing the behavior of smooth functions of two variables, such as surfaces, images, and the radius function of three-dimensional symmetric axes
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|a Journal Article
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|i Enthalten in
|t IEEE transactions on pattern analysis and machine intelligence
|d 1979
|g 6(1984), 4 vom: 01. Apr., Seite 442-50
|w (DE-627)NLM098212257
|x 1939-3539
|7 nnns
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| 773 |
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|g volume:6
|g year:1984
|g number:4
|g day:01
|g month:04
|g pages:442-50
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|d 6
|j 1984
|e 4
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|h 442-50
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