I think what's happening is the brain is processing the separate color segments individually, instead of a continuous line. And at an individual segment level, it's much harder to detect a curve on the bottom pieces than the top. Notice the red line I drew. The bottom pieces fit much closer to a true line than the top pieces.
This is a very interesting visualization. If you adjust col2, you can see that the illusion basically has a step function. If both line colors are darker than the background, the two patterns look the same. If you slowly adjust col2 until it matches the background and then becomes just a hair lighter, they pop into existence with the full illusion. There is no transition whatsoever except insofar as you can't see the lines when they match the background color.
the zig-zags where the color change is at the peaks / troughs looks to me like a wall with light coming from the right side. i wonder if that's what's going on here, the brain is saying "i know that shape, it's a zig-zagging wall"
This seems not to be due to curvature but due to color distribution of lines. I wonder if effect would still be visible if all lines had same color distribution.
But it is somewhat dishonest. You could color the lines in the same color as the background and then you would have "illusion" of dissapearing lines, right?
Interesting, it's a border dectecion issue, where a single color shows as a curve when it bends sharply the entire way, but short segments approximate to a line when they are mostly just lines with strong curves only at the end.
I suspect it would look very different when animated.
You know what this reminds me of? That simple graphical trick to give buttons depth. Two sides have a dark border, two sides have a light border. This seems to be a similar effect.
I read the paper, but wasn’t immediately convinced it wasn’t related to depth. Once I looked at the illustration for the 3rd experiment [0] it was obviously unrelated to depth.
I dunno, it seems pretty straightforward to me unless I'm missing something. Color change at the sharpest point of the curve has an antialiasing effect that pronounces the shift and makes it look zigzag.
The “zig-zag” lines in the illusion are the ones in which the color of the wavy line changes from dark grey to light grey at the ‘corners’ i.e. the peaks and troughs of the curve.
I don't find this at all "remarkable" because I don't think this has anything to do with the curvature itself, but the relative contrast of the lines against different backgrounds, and the, for lack of a better term, dithering that occurs in the brain as it is interpreting the borders of contrast
If the lines were a solid color, instead of alternating bands, or if the crossover happened somewhere other than a crest of a trough, this effect would disappear.
>I don't find this at all "remarkable" because I don't think this has anything to do with the curvature itself, but the relative contrast of the lines against different backgrounds, and the, for lack of a better term, dithering that occurs in the brain as it is interpreting the borders of contrast
That's because you didn't understand it.
For one, the "the relative contrast of the lines against different backgrounds" is the same between the lines that appear curved and those that appear "straight", because both are the same exact line (both curved) against the same exact background part (the gray).
Correct. The effect is based on where the interchange from black to white occurs. If the interchange occurs at the peak or valley of the sine wave, we perceive no curves. If the interchange occurs at the straight part of the sine way, we accurately perceive the curvature. Really neat!
No, you didn't understand me, sorry. I understood it just fine, but didn't explain myself well enough.
The relative contrast at the point of curvature causes an aliasing effect in the brain where the line colors are (depending on the color) added to or subtracted from the gray value. In effect this causes an apparent sharpening of the curve. However, on those lines where the transition takes place on the straight portion of the wave, no such aliasing takes place because there is no curvature.
