Triangular G2-Splines

Abstract

We introduce curvature continuous regular free-form surfaces with triangular control nets. These surfaces are composed of quartic box spline surfaces, and are piecewise polynomial multisided patches of total degree 8 which minimize some energy integral. The Bezier nets can be computed efficiently from the spline control net by some fixed masks, i.e., matrix multiplications.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012044

Entities

People

  • Georg Umlauf
  • Hartmuth Prautzsch

Organizations

  • University of Florida

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • Coefficients
  • Construction
  • Copyrights
  • Curvature
  • Directional
  • Equations
  • Geometric Forms
  • Geometry
  • Grids
  • Integrals
  • Linear Systems
  • Lines (Geometry)
  • Mathematics
  • Polynomials
  • Technical Information Centers

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Vision.
  • Graph Algorithms and Convex Optimization.