Singularities for projections of contour lines of surfaces onto planes

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We study semi-local patterns of the visions for contour lines of a surface when one looks at it from a distant view in any direction. The study of such a landscape (i.e. s0-called “topography”) is reduced to the study of a certain divergent diagram of smooth mappings R ← M → R2, where M is a smooth surface. We give a generic semi-local classification of such divergent diagrams.

Original languageEnglish
Pages (from-to)573-587
Number of pages15
JournalHokkaido Mathematical Journal
Volume30
Issue number3
DOIs
Publication statusPublished - 2001 Jan 1
Externally publishedYes

Keywords

  • Divergent diagram
  • Semi-local
  • Singularity
  • Vision
  • Web structure

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Singularities for projections of contour lines of surfaces onto planes. / Kurokawa, Yasuhiro.

In: Hokkaido Mathematical Journal, Vol. 30, No. 3, 01.01.2001, p. 573-587.

Research output: Contribution to journalArticle

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