Interpolation...
Author
Could anybody point me towards some nice info about
interpolation?
I''ve been trying to do cosinus interpolation..but all i end up with is segments with no continuity...Look kinda bad when applied to camera movement....
Say you want to make the camera move from xi to xf in a time T.
The basic cosine interpolation scheme would be:
x=xi+(xf-xi)*(1-cos(PI*t/T))
Where t are the different times of the animation, and ranges form 0 to T. This simple eqn gives a smooth camera movement. Also it provides a slower movement at the start and in the end of the animation than in the middle, thus creating a really intersesting acceleration effect. Expanding it to 3D is really simple, just using the same formula for each independent component.
The basic cosine interpolation scheme would be:
x=xi+(xf-xi)*(1-cos(PI*t/T))
Where t are the different times of the animation, and ranges form 0 to T. This simple eqn gives a smooth camera movement. Also it provides a slower movement at the start and in the end of the animation than in the middle, thus creating a really intersesting acceleration effect. Expanding it to 3D is really simple, just using the same formula for each independent component.
ops! I almost forget...
You can concatenate any number of animations using this basic formula without any discontinuity.
There are there other interesting interpolation schemes that could make cool effects, just take a look at trig, exp, bessel, ... functions, and use your imagination
You can concatenate any number of animations using this basic formula without any discontinuity.
There are there other interesting interpolation schemes that could make cool effects, just take a look at trig, exp, bessel, ... functions, and use your imagination
ops! again...
The correct formula is:
x=xi+((xf-xi)/2)*(1-cos(PI*t/T))
just working without paper
The correct formula is:
x=xi+((xf-xi)/2)*(1-cos(PI*t/T))
just working without paper
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