§3.1 - 3D Curves in VR

by Robert Curtis, Bill Davis, and Lee Wayand.

  • Live3D Notes for Navigational & Technical Help

  • 3.1.1: Graphing and Walking Parametric Curves
    • A parametric 3D curve is defined by the function
    F(t) = (a(t), b(t), c(t))
    where a(t), b(t), c(t) are functions of the single independent variable t. You may have graphed curves, but you probably haven't flown on them before. Fly on the helix to the left by (1) clicking on the world; (2) use "CONTROL-RIGHTARROW" to click through the viewpoints.
  • 3.1.3: Intersections of Surfaces and Parametric Curves
    • If you intersect two surfaces in 3D, the result is usually a 3D curve, and analysis of this curve is greatly assisted by parameterizing the curve.
  • 3.1.4: Curves Determined by Geometric Mandate
    • What is the twisted cubic curve that passes through four given points? Is there one? Some very hard problems are studied in this subfield of algebraic geometry.
  • 3.1: Exercises
    • Some problems for you to try on sections of surfaces.

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    		Official Website of
    www.calculus.net
     • Webcast on a DEC Alpha on a T-1 line from • 
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    Core Development Team
    • Robert R. Curtis
    • Phil R. Smith
    • Christopher A. Barker
    • Diane Welden Housken
    • Tim Lance
    • Bob Stein
    • Donald Hartig
    • Lee Wayand
    • Charlene Beckmann
    • Bill Davis
    • Paul Latiolais
    • Dennis Sentilles
    • Carmen Artino
    • Michael Colvin


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