Directional statistics · interactive figure

Angular Gaussian distributions on S²

Mean direction is fixed at μ̂ = (1, 1, 1)/√3; only the concentration α = ‖μ‖ and shape parameters vary. Compare the isotropic (IAG), elliptically symmetric (ESAG), fully general (GAG) angular Gaussians, and the Kent FB₅ for reference.

↗ source paper
Fig.

ESAG(μ, γ) — elliptically symmetric

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μ̂ = (1, 1, 1)/√3  ·  α = 3.00

Density rendered per-vertex on a 320×200 spherical mesh; iso-density lines drawn in screen space (constant pixel width via fragment-shader fwidth). Drag to rotate · scroll to zoom.