Computation of inflection lines and geodesies on developable surfaces

Takashi Maekawa, J. S. Chalfant

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A developable surface can be formed by bending or rolling a planar surface without stretching or tearing; in other words, it can be developed or unrolled isometrically onto a plane. This paper describes two main differential geometry properties of developable surfaces that have industrial applications. First, a method for identifying the inflection line of a developable surface is described. Second, geodesic lines between two points on a developable surface are found as an initial value problem, which is easier to solve than the boundary value problem that is normally required.

Original languageEnglish
Pages (from-to)251-267
Number of pages17
JournalMathematical Engineering in Industry
Volume7
Issue number2
Publication statusPublished - 1999 Dec 1
Externally publishedYes

Fingerprint

Initial value problems
Boundary value problems
Stretching
Industrial applications
Geometry

Keywords

  • Developable surface
  • Flat points
  • Geodesies
  • Inflection lines

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Computation of inflection lines and geodesies on developable surfaces. / Maekawa, Takashi; Chalfant, J. S.

In: Mathematical Engineering in Industry, Vol. 7, No. 2, 01.12.1999, p. 251-267.

Research output: Contribution to journalArticle

Maekawa, Takashi ; Chalfant, J. S. / Computation of inflection lines and geodesies on developable surfaces. In: Mathematical Engineering in Industry. 1999 ; Vol. 7, No. 2. pp. 251-267.
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