Conversion Methods between Parametric and Implicit Curves and Surfaces

Abstract

We present methods for parameterizing implicit curves and surfaces and for implicitizing parametric curves and surfaces, based on computational techniques from algebraic geometry. After reviewing the basic mathematical facts of relevance, we describe and illustrate state-of-the-art algorithms and insights for the conversions problem. Keywords: Points.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1990
Accession Number
ADA228715

Entities

People

  • Christop M. Hoffmann

Organizations

  • Purdue University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algebraic Geometry
  • Algorithms
  • Complex Numbers
  • Computations
  • Computer Graphics
  • Computer Science
  • Equations
  • Geometry
  • Graphics
  • Numbers
  • Polynomials
  • Projective Geometry
  • Quadratic Equations
  • Rational Functions
  • Rational Numbers
  • Real Numbers
  • Theorems

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Systems Analysis and Design