Surface Approximations in Geometric Modeling

Abstract

One of the major research efforts in the field of solid modeling focuses on extending the geometric coverage of modeling systems and on incorporating complex free-form surfaces. Some major obstacles to this goal include computing and rendering very complex surfaces, including offset, Voronoi, and blending surfaces. We present local and global approximation schemes that are expected to be of practical value in overcoming the above problems. For parametric curves and surfaces, we present a method for computing an implicit approximant of low degree that approximates the curves or surface locally and achieves an order of contact that can be prescribed in advance. In principle, the method is capable of exact implicitization.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1990
Accession Number
ADA229330

Entities

People

  • Jung-hong Chuang

Organizations

  • Purdue University

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Artificial Intelligence
  • Computations
  • Computer Graphics
  • Computer Science
  • Computer-Aided Design
  • Curvature
  • Differential Geometry
  • Equations
  • Geometric Forms
  • Geometry
  • Image Processing
  • Lines (Geometry)
  • Mathematics
  • Nonlinear Systems
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Computer science

Readers

  • Approximation Theory.
  • Computer Vision.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)