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From: ken@turtlevax.UUCP (Ken Turkowski)
Newsgroups: net.graphics,net.math
Subject: Re: parametric equations
Message-ID: <1149@turtlevax.UUCP>
Date: Tue, 29-Apr-86 13:09:06 EDT
Article-I.D.: turtleva.1149
Posted: Tue Apr 29 13:09:06 1986
Date-Received: Fri, 2-May-86 07:30:15 EDT
References: <1450@nlm-mcs.ARPA>
Reply-To: ken@turtlevax.UUCP (Ken Turkowski)
Distribution: net
Organization: CIMLINC, Inc. @ Menlo Park, CA
Lines: 19
Xref: watmath net.graphics:1616 net.math:3132

In article <1450@nlm-mcs.ARPA> garl@nlm-mcs.ARPA (Gary Letourneau) writes:
> 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) = ... ,	0 <= t <= 1

First, you'll never get a full surface from a univariate function; you need
two variables:

	fx(u,v), fy(u,v), fz(u,v),		0 <= u <= 1,	0 <= v <= 1

Otherwise, you'll get a curve instead of a surface.
-- 
Ken Turkowski @ CIMLINC, Menlo Park, CA
UUCP: {amd,decwrl,hplabs,seismo}!turtlevax!ken
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