Applications of Sphere Geometry in Canal Surface Design

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012037

Entities

People

  • Christoph Maurer

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Construction
  • Conversion
  • Geometric Forms
  • Geometry
  • Hodographs
  • Interpolation
  • Lines (Geometry)
  • Polynomials
  • Rational Functions
  • Rotation
  • Technical Information Centers
  • Three Dimensional
  • Two Dimensional

Readers

  • Computer Science.
  • Graph Algorithms and Convex Optimization.
  • Riverine Ecology