Comparison of Different Multisided Patches Using Algebraic Geometry

Abstract

Different constructions of multisided surface patches (due to Sabin, Hosaka-Kimura, Warren, Loop-DeRose, etc.) are studied via considering base points of their parametrizations. This analysis shows hidden interrelations between various cases and enables to find new efficient control point schemes in more general situations. In particular, toric patches are introduced.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012026

Entities

People

  • Kestutis Karciauskas
  • Rimvydas Krasauskas

Organizations

  • Vilnius University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algebraic Geometry
  • Boundaries
  • Coefficients
  • Construction
  • Geometry
  • Invariance
  • Plotting
  • Polygons
  • Polynomials
  • Rational Functions
  • Symmetry
  • Technical Information Centers
  • Triangles
  • Triangulation
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers
  • Theoretical Analysis.