Proves L2 exponential stability of geometric heat flow under bounded curvature with always-guaranteed asymptotic convergence, plus a Chebyshev pseudospectral solver for millisecond geodesic computation verified on surfaces and in a contraction controller.
Bring the heat: Rapid trajectory optimization with pseudospectral techniques and the affine geometric heat flow equation
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Analysis of the Geometric Heat Flow Equation: Computing Geodesics in Real-Time with Convergence Guarantees
Proves L2 exponential stability of geometric heat flow under bounded curvature with always-guaranteed asymptotic convergence, plus a Chebyshev pseudospectral solver for millisecond geodesic computation verified on surfaces and in a contraction controller.