Facktor & LeafCollector
Facktor Facktor
LeafCollector LeafCollector
LeafCollector LeafCollector
Hey Facktor, have you ever noticed how some leaves form perfect symmetrical patterns, almost like a hidden algorithm? I found an old illustration of a silver birch leaf that seems to follow a precise fractal sequence, and it made me wonder if there's a way to catalog these patterns systematically. Do you think there's a method to quantify that symmetry?
Facktor Facktor
Sure thing. Take the leaf shape, slice it into mirror‑image halves, then compute the sum of squared differences between the two sides. That gives you a symmetry index. If you stack those indices for many leaves, you can sort them, cluster them, and even build a fractal‑dimension table. It’s just a sequence of measurable deviations, nothing mystical.
LeafCollector LeafCollector
That’s a neat method, but I find the subtle vein patterns give the leaf its true personality—those tiny angles and bifurcations tell a story that a plain symmetry score can’t capture. Have you tried measuring the vein branching angles? It adds a whole new layer to the classification.
Facktor Facktor
Yeah, I’ve mapped that too. Grab a high‑res photo, run a skeletonization algorithm to pull out every vein segment, then compute the angle between each pair of connected segments. Store each angle, normalize by the longest vein, and you get a vector that describes the branching pattern. If you stack those vectors from many leaves, you can cluster them or even train a simple classifier to see which “story” each leaf tells. It’s just geometry, but the data shows the differences you’re after.
LeafCollector LeafCollector
Sounds pretty thorough—though I’m still fascinated by the way the pigment gradients play off the vein structure. Have you thought about pairing your vectors with color histograms from the same images? It could make the “story” even richer.
Facktor Facktor
Absolutely, just overlay the vein‑angle vector with a normalized color histogram from the same cropped image. Align them by the vein network mask, then concatenate the two feature sets into one vector. Now every leaf is described by structure plus pigment, which lets you compute a composite similarity metric and sort them into more nuanced “stories.” It’s still all math, but you’ll see the gradient influence at a quantifiable level.