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The Math behind….
Hi all
I’ve got a puzzler for ya…
recently I’ve come across a problem dealing with expressions…
the thing is it’s not AE expressions, it’s 3ds max.
i know i know…GO TO THE MAX FORUM !!!
but the thing is – i want to know what the math behind it is…
the linear() expression lets me take to set of numbers and interpolate between them.
is there another more mathematical way to do it?
had i not had the linear() or one of the ease() interpolation methods – how would i go about in doing it.I’m really in need of your wisdom and help…
Thanks in advancce
Ariel
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2 Replies
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In think this function would replace linear:
linear (x, a, b, c, d) {
if (x<=a) { return a } else if (x>=b) {
return b
} else {
return c + (((x-a)/(b-a))*(d-c));
}}
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Using linear() or ease() is doing all the same number crunching, just behind the scene. If you want to know about the math behind interpolation, try checking out wikipedia for the basics:
https://en.wikipedia.org/wiki/Interpolation
All the math knowledge you need to unserstand this stuff is just basic high school algebra and trig. You might see some calculus-related terms on there (differentiable) but you can ignore them and just read each formula for each type of interpolation.If you REALLY want to learn some more advanced interpolation stuff you might want to pick up a book like
https://www.amazon.com/Interpolation-Second-J-F-Steffensen/dp/0486450090/ref=pd_bbs_sr_1/105-3364261-6610049?ie=UTF8&s=books&qid=1193704076&sr=1-1
but keep in mind the book will probably have more theory involved, and use college level math.~Colin
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