Visualization of Surfaces in Four-Dimensional Space

Abstract

The authors discuss some issues of displaying two-dimensional surfaces in four-dimensional (4D) space, including the behavior of surface normals under projection, the silhouette points due to the projection, and methods for object orientation and projection center specification. We have implemented an interactive 4D display system on z-buffer based graphics workstations. Preliminary experiments show that such a 4D display system can give valuable insights into high-dimensional geometry. We present some pictures from the examples using high-dimensional geometry, offset curve tracing and collision detection problems, and explain some of the insights they convey. (kr)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1990
Accession Number
ADA227858

Entities

People

  • Christoph M. Hoffmann
  • Jianhua Zhou

Organizations

  • Purdue University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Computer Graphics
  • Computer Science
  • Computers
  • Coordinate Systems
  • Display Systems
  • Equations
  • Euler Angles
  • Four Dimensional
  • Geometry
  • Graphics
  • Latitude
  • Numerical Analysis
  • Three Dimensional
  • Two Dimensional
  • User Interface
  • Visualizations

Readers

  • Computer Vision.

Technology Areas

  • Space
  • Space - Space Objects