Interpolating Functions on Lines in 3-Space

Abstract

Given straight lines L(sub i), i = 1,..., N, in Euclidean 3-space with associated function values f(sub i), we study the interpolation problem of constructing a smooth real valued function F which interpolates values f(sub i) at given data lines L(sub i). The function F shall be defined on the entire set of lines or at least on lines contained in a domain of interest in 3-space.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012003

Entities

People

  • Helmut Pottmann
  • Martin Peternell

Tags

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Computer Graphics
  • Coordinate Systems
  • Cutting Tools
  • Four Dimensional
  • Geometry
  • Graphics
  • Interpolation
  • Linear Systems
  • Motion Planning
  • Numbers
  • Real Numbers
  • Technical Information Centers
  • Two Dimensional
  • Visualizations

Readers

  • Calculus or Mathematical Analysis
  • Geochemistry
  • Missile Defense Systems.

Technology Areas

  • Space