Singularities for projections of contour lines of surfaces onto planes

Yasuhiro Kurokawa

doi:10.14492/hokmj/1350912791

Singularities for projections of contour lines of surfaces onto planes

Yasuhiro Kurokawa

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	573-587
Number of pages	15
Journal	Hokkaido Mathematical Journal
Volume	30
Issue number	3
DOIs	https://doi.org/10.14492/hokmj/1350912791
Publication status	Published - 2001
Externally published	Yes

Keywords

Divergent diagram
Semi-local
Singularity
Vision
Web structure

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.14492/hokmj/1350912791

Cite this

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AB - 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.

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KW - Semi-local

KW - Singularity

KW - Vision

KW - Web structure

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Singularities for projections of contour lines of surfaces onto planes

Abstract

Keywords

ASJC Scopus subject areas

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