Singularities for projections of contour lines of surfaces onto planes

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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
Issue number3
Publication statusPublished - 2001
Externally publishedYes


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

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Singularities for projections of contour lines of surfaces onto planes'. Together they form a unique fingerprint.

Cite this