Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Path: utzoo!watmath!clyde!cbosgd!ihnp4!qantel!lll-lcc!lll-crg!seismo!brl-sem!brl-smoke!nlm-mcs!garl
From: garl@nlm-mcs.ARPA (Gary Letourneau)
Newsgroups: net.graphics,net.math
Subject: parametric equations
Message-ID: <1450@nlm-mcs.ARPA>
Date: Thu, 24-Apr-86 08:50:12 EDT
Article-I.D.: nlm-mcs.1450
Posted: Thu Apr 24 08:50:12 1986
Date-Received: Tue, 6-May-86 04:27:28 EDT
Distribution: net
Organization: NLM/LHNCBC, Bethesda, Md.
Lines: 33
Xref: watmath net.graphics:1629 net.math:3159



   I am beginning some work on graphing 2-d and 3-d curves and surfaces and
 I have run across the following problem:

 If given an equation of a 3-dimensional surface in the form 
   	
	f(x, y, z) = ...
 
 and a range of values for x, y, and z

	x1 < x < x2
	y1 < y < y2
	z1 < z < z2
 
 is there an algorith for determining the parametric equations for the
 same surface
		
		fx(t) = ...
		fy(t) = ...
		fz(t) = ...

  where 0 <= t <= 1


  In short, is there an algorithmic way of generating parametric equations
from nonparametric ones?
  
  I would appreciate any pointers, ideas, program code, etc. that anyone
would post.
					Thanks in advance,
					Gary Letourneau
					letourneau@nlm-mcs