Accession Number : ADP012037

Title :   Applications of Sphere Geometry in Canal Surface Design

Descriptive Note : Conference paper

Corporate Author : TWT-GMBH (INFORMATION AND ENGINEERING TECHNOLOGIES) FILDERSTADT (GERMANY)

Personal Author(s) : Maurer, Christoph

PDF Url : ADP012037

Report Date : 2000

Pagination or Media Count : 10

Abstract : Classical models of sphere geometry facilitate an efficient description of canal surfaces. Using the cyclographic model of Laguerre geometry, an elementary characterization of continuity, bisectors, control point-, control sphere- and implicit representations of canal surfaces is presented. In addition, canal surfaces generated with the aid of Minkowski Pythagorean hodograph curves are investigated.

Descriptors :   *SPHERES, *ANALYTIC GEOMETRY, *LAGUERRE FUNCTIONS, INTERPOLATION, GERMANY, CURVES(GEOMETRY), MINKOWSKI SPACE.

Subject Categories : Numerical Mathematics
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE