Posted by ElvJOGL on Feb 24, 2016; 1:59am
URL: https://forum.jogamp.org/Mathematics-Question-about-the-SLERP-tp4036332.html

Hi everyone,

I this pretty much has not very much to do with JOGL, but it is a mathematics question, that I want to address here because, I find it that this is a much user friendly forum than anything I have come across.

Anyhow, is the title of the topic suggest, I want to ask something about the SLERP equation which I will show below:

The SLERP equation that I am using is this: v = (1 - t)(p1) + (p2)(t), where v is the latter vector along the interpolated line, the change in time from p1 to p2, which are points in space.

I am trying to find a number, a constant per say or a scalar out of this equation that will give me the number of pixels which will have been drawn to the screen if I had ran this in a rendering loop. (Just to point out, I need to find the number of pixels without running a loop or any other computer algorithm that will loop about the change in time from t = 0 to t = 1 which will eventually trace p1 to p2 in space, without using a loop. I want to derived that number out of the same equation I just showed above, without running a loop that would count the pixel to begin with. I need to manipulate the equation so I can extract an [n] value which will be the number of pixels which would've been drawn to the screen if I had ran this in a rendering loop.

Any ideas will help.

Thank you.
thank you.