a7 – Dynamic Eigenfield Ellipses

A spatially varying symmetric matrix field M(x,y,t) yields local eigenvectors/eigenvalues; each grid sample renders an oriented ellipse indicating anisotropy flow.

Parameters

Grid Cols Rows Margin

Matrix Base m11 base m22 base m12 base Anisotropy scale Spatial freq Noise amp

Deformation Rotation boost Size scale Aspect exageration

Animation Time speed Temporal warp

Animate?

Rendering Stroke width Opacity Color rotation Color spread Light wave

Fill ellipses

Controls

Formula

    Symmetric matrix field: M = [[m11, m12],[m12, m22]] + A(x,y,t). Eigenvalues λ1≥λ2 give principal axes lengths L1 ∝ √λ1, L2 ∝ √λ2. Orientation θ from eigenvector of λ1. Added anisotropy & rotation modulation.

   

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Parameters