I misunderstood the above image when I first saw it. I had originally thought that we were sliding a sort of window down the two Gaussians to see them slowly intersect. I now see it as the 'window' remaining constant, but the center points of the Gaussians moving slowly towards each other. Is that accurate?
tplatina
I have the question about .5, .4, and .3 in the illustration. Is it the value of (p+q)/2, since that should be the center?
motoole2
@Parker @tplatina I also interpreted the bottom row as moving a plane to three different positions (f=.5, f=.4, and f=.3), though this does not appear to be the case upon closer inspection. It does appear that the points p and q are moving closer together, similar to the blending of the two metaballs in the top row. (So please ignore the equations f=.4 and f=.3 here, and assume that all three plots on the bottom row are when f=.5.)
I misunderstood the above image when I first saw it. I had originally thought that we were sliding a sort of window down the two Gaussians to see them slowly intersect. I now see it as the 'window' remaining constant, but the center points of the Gaussians moving slowly towards each other. Is that accurate?
I have the question about .5, .4, and .3 in the illustration. Is it the value of (p+q)/2, since that should be the center?
@Parker @tplatina I also interpreted the bottom row as moving a plane to three different positions (
f=.5,f=.4, andf=.3), though this does not appear to be the case upon closer inspection. It does appear that the pointspandqare moving closer together, similar to the blending of the two metaballs in the top row. (So please ignore the equationsf=.4andf=.3here, and assume that all three plots on the bottom row are whenf=.5.)