Twelve masks. Twelve theories of what structure means in an image, from luminance edges to how the eye actually sees color. Upload one. The scatter plot shows where they agree and where they don't.

original

where does each mask say the image lives?

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primitive definitions

ΔxHorizontal centroid offset. Where the gradient mass sits left or right of frame center. Negative is left.

ΔyVertical centroid offset. Where the gradient mass sits above or below frame center. Negative is up.

rṣVoid ratio. Fraction of the image with near-zero gradient response. High rṣ means most of the frame is empty — only a small region carries structure.

μCohesion. Fraction of total gradient energy concentrated in the top-quartile pixels. High μ means the mass is tight. Low μ means it is scattered thin.

SDISpatial Dispersion Index. Mean distance of mass pixels from the centroid, normalized by the image diagonal. Low is a center blob. High is edge-weighted spread.

ρᵣPacking density. Mass area relative to convex hull area, ×100. How tightly the active marks are compressed within their envelope. Low means marks are sparse inside their bounding shape.

xₚPeripheral edge pull. Fraction of gradient energy in the outer 15% band of the frame. High means mass lives at the edges. Low means centripetal collapse.

θOrientation stability. Circular mean resultant length of gradient orientations, weighted by magnitude. High means edges are directionally consistent. Low means omnidirectional noise.

dₛStructural thickness. Mean distance of luminance-active pixels from the nearest dark void, normalized by the shorter image dimension. Thin painted marks score low. Broad masses score high.

baseline (Sobel / LAB-L) confirmed (VTL × L−M)

perceptual simulation

How color-deficient vision perceives this image — reconstructed from LMS cone space. Not a gradient mask. The actual colors as seen.