CAGD Techniques for Differentiable Manifolds

Abstract

The paper outlines procedures for extending the de Casteljau de Boor and Aitken algorithms in such a way as to allow the construction on a Riemannian manifold of curves analogous to Bezier, B-spline, and Lagrange curves. These curves lie in the manifold and respect intrinsic geometry.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013712

Entities

People

  • Achan Lin
  • Marshall Walker

Organizations

  • University of York

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Computer-Aided Design
  • Construction
  • Convex Sets
  • Data Analysis
  • Equations
  • Geodesics
  • Geometry
  • Intervals
  • Revolutions
  • Technical Information Centers
  • Theorems
  • Two Dimensional
  • Variational Methods

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.