Mathematical Equations and Video/Images
- SephirothJenova
 - Joined: Tue Jun 05, 2001 6:26 pm
 - Location: St. Louis, MO, USA
 - Contact:
 
Mathematical Equations and Video/Images
I was wondering if Premiere, Photoshop, or After Effects had a way/special plugin that alls them to read mathematical equations.  I've wanted to create different images in Photoshop to use for track mattes other than the old straight line stuff.
Example:
How would I create an image using two spirals of Archimedes? The equation is r = n(Angle), where r is the radial distance from the pole and the angle is the angle measurement from the polar axis (This comes from knowing polar coordinates.). This is only any example, but isn't what I really want to create.
Any ideas on how to implement these complicated equations or functions without actually graphing out each point individually?
Can you tell that I'm a math geek? I'm actually in love with Physics!!
Sephiroth
			
									
									Example:
How would I create an image using two spirals of Archimedes? The equation is r = n(Angle), where r is the radial distance from the pole and the angle is the angle measurement from the polar axis (This comes from knowing polar coordinates.). This is only any example, but isn't what I really want to create.
Any ideas on how to implement these complicated equations or functions without actually graphing out each point individually?
Can you tell that I'm a math geek? I'm actually in love with Physics!!
Sephiroth
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						- Zarxrax
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				trythil
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POV-RAY has several tools that will allow you to create 3D models based on quartics and quintics.  It will also allow you to take 3D slices of 4D Julia sets and do animation and plots with them.  See http://www.povray.org
If you want faster modeling I'd recommend that you take a look at the MAXIMA CAS. It, like most CASes, is much more suited for symbol manipulation, but it does have a fairly decent 3D renderer. If you have access to higher-end software I'd recommend Maple (another CAS; I've used versions 8 and 9, and while I can't say that I LOVE Maple, I find that it does work pretty well), Mathematica, or MathCAD. I'd say that the only way that you could get either Maple, Mathematica, or MathCAD "legally" is via academic pricing, though; both tools are crazy expensive otherwise.
Every bit of software I've listed is basically a programming environment. None of them are hard to learn, though.
			
									
									
						If you want faster modeling I'd recommend that you take a look at the MAXIMA CAS. It, like most CASes, is much more suited for symbol manipulation, but it does have a fairly decent 3D renderer. If you have access to higher-end software I'd recommend Maple (another CAS; I've used versions 8 and 9, and while I can't say that I LOVE Maple, I find that it does work pretty well), Mathematica, or MathCAD. I'd say that the only way that you could get either Maple, Mathematica, or MathCAD "legally" is via academic pricing, though; both tools are crazy expensive otherwise.
Every bit of software I've listed is basically a programming environment. None of them are hard to learn, though.
- badmartialarts
 - Bad Martial Artist
 - Joined: Sat Oct 25, 2003 5:31 am
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I second POV-ray....it's very fun (though I haven't used it in a loooong time....) and can do some really impressive things, given it's street price (free!).
			
									
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- Dannywilson
 - Joined: Wed Jul 31, 2002 5:36 am
 - Location: In love with Dr. Girlfriend
 
Try seeing if you can program your functions into AE's "Motion Math" section. The damn thing is far beyond powerful in some respects, I haven't even explored some of the functions of this (almost) unknown part of AE yet.
			
									
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