A Parametric Algorithm for Drawing Pictures of Solid Objects Bounded by Quadric Surfaces.

Abstract

An algorithm is described for generating two-dimensional, visible-line projections of three-dimensional objects that are bounded by patches of quadric surfaces. The main task of the algorithm is the calculation of intersections between quadric surfaces. A parameterization scheme is used. Each quadric-surface intersection curve (QSIC) is represented as a set of coefficients and parameter limits. Each value of the parameter represents at most two points, and these may easily be distinguished. This scheme can find the coordinates of points of even quartic (fourth-order) intersection curves, using equations of no more than second order. Methods of parameterization for each type of QSIC are discussed, as well as the problems of surface bounding and hidden-surface removal. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1976
Accession Number
ADA032921

Entities

People

  • Joshua Z. Levin

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Computer Graphics
  • Computers
  • Engineering
  • Equations
  • Geometric Forms
  • Geometry
  • Graphics
  • Information Processing
  • Interactive Graphics
  • Line Of Sight
  • Lines (Geometry)
  • New York
  • Scientific Research
  • Systems Engineering
  • Three Dimensional

Readers

  • Computer Vision.
  • Graph Algorithms and Convex Optimization.