Solved

What does Explicit Form, Implicit Form and Parametric Form mean in Virtual Reality Modeling (screenshot attached)

Posted on 2009-05-18
4
1,531 Views
Last Modified: 2013-12-21
What does Explicit Form, Implicit Form and Parametric Form mean in Virtual Reality Modeling?
This is shown in the screenshot attached
page1.png
0
Comment
Question by:jtiernan2008
  • 2
  • 2
4 Comments
 
LVL 2

Expert Comment

by:whatisittellme
ID: 24415167
in the following link : http://arxiv.org/html/cs.GR/0512098

see equations (1) through (6). They pretty much explain what explicit, implicit and parametric forms mean in general (and in modeling too).
0
 
LVL 1

Author Comment

by:jtiernan2008
ID: 24415252
I cant really understand that text... I am a noobie to the subject :(

I dont understand that formula (1)?
it also doesnt explain what parametric form is.. it just says it easier to use to represent an object in 3D space rather than implicit form whatever that is :)
0
 
LVL 2

Accepted Solution

by:
whatisittellme earned 500 total points
ID: 24415382
ok, lemme try explaining :)

lets use circle equation: x^2 + y^2 = 1 for explaining each of the forms

explicit form:
eg: y = f(x) ; means that one variable is expressed as a function of other variables explicitly.
** for circle ** : x = sqrt(1-y^2)  this is explicit form .... where sqrt = square root.

implicit form:
eg: f(x,y)=0; an equation containing both the variables is used. one variable is NOT explicitly mentioned in interms of the other.
** for circle ** : x^2 + y^2 = 1 is implicit form. the relationship between x and y is not mentioned explicit. it is mentioned implicitly.

parametric form:
x = f(t);  y = g(t); a different value called parameter is chosen such that both the vaiables x ans y can be expressed using the parameter.
for circle example the parametric equations would be : x = r*cos(t) ; y = r*sin(t)
note that the relation x^2 + y^2 =1 still holds true. it is just a different form of representation.

hope that helps you understand difference between three forms of representation !
0
 
LVL 1

Author Closing Comment

by:jtiernan2008
ID: 31582715
thats perfect..
exactly the help I was looking for
thanks a million
0

Featured Post

Free Tool: Subnet Calculator

The subnet calculator helps you design networks by taking an IP address and network mask and returning information such as network, broadcast address, and host range.

One of a set of tools we're offering as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

This article seeks to propel the full implementation of geothermal power plants in Mexico as a renewable energy source.
Lithium-ion batteries area cornerstone of today's portable electronic devices, and even though they are relied upon heavily, their chemistry and origin are not of common knowledge. This article is about a device on which every smartphone, laptop, an…
In this Micro Tutorial viewers will learn the basic shortcuts and functions of Illustrator. The viewer will learn about the paintbrush tool, anchor points, font sizing, and more.
Although Jacob Bernoulli (1654-1705) has been credited as the creator of "Binomial Distribution Table", Gottfried Leibniz (1646-1716) did his dissertation on the subject in 1666; Leibniz you may recall is the co-inventor of "Calculus" and beat Isaac…

856 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question