The Intrinsic Method for Curve Definition.

Abstract

This report describes a technique of curve description for computer graphics based upon specified intrinsic equations of curvature and torsion as functions of a natural parameter. These intrinsic equations appear as variable coefficients in the Serret-Frenet equations, which are coupled, paramettric, differential equations describing the basic analytic nature of a curve. Unique curves are generated by the numerical solution of the Serret-Frenet equations with respect to a specific coordinate system.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1975
Accession Number
ADA003939

Entities

People

  • J. Alan Adams

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Computer Graphics
  • Computers
  • Coordinate Systems
  • Curvature
  • Differential Equations
  • Equations
  • Geometry
  • Graphics
  • Mathematics

Readers

  • European Security and Defence Policy (ESDP).
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.