Spline-Pullback Metric parameterizes a universal family of strictly increasing C1 diffeomorphisms on SPD matrices via monotonically constrained B-splines, subsuming prior pullback metrics while avoiding rank-swapping discontinuities.
Inside the knot vector tk ≤y≤t m−k, the B-spline basis functions possess strictly local support and are globally non-negative (Bi,k−1(y)≥0 ) [de Boor, 2001, Ch
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Beyond Rigid Geometries: The Spline-Pullback Metric for Universal Diffeomorphic SPD Representation Learning
Spline-Pullback Metric parameterizes a universal family of strictly increasing C1 diffeomorphisms on SPD matrices via monotonically constrained B-splines, subsuming prior pullback metrics while avoiding rank-swapping discontinuities.