Nonlinear spectral geometry processing via the TV transform
نویسندگان
چکیده
منابع مشابه
Dynamics, Laplace Transform and Spectral Geometry∗
We consider a vector field X on a closed manifold which admits a Lyapunov one form. We assume X has Morse type zeros, satisfies the Morse– Smale transversality condition and has non-degenerate closed trajectories only. For a closed one form η, considered as flat connection on the trivial line bundle, the differential of the Morse complex formally associated to X and η is given by infinite serie...
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We consider vector fields X on a closed manifold M with rest points of Morse type. For such vector fields we define the property of exponential growth. A cohomology class ξ ∈ H(M ;R) which is Lyapunov for X defines counting functions for isolated instantons and closed trajectories. If X has exponential growth property we show, under a mild hypothesis generically satisfied, that these counting f...
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ژورنال
عنوان ژورنال: ACM Transactions on Graphics
سال: 2020
ISSN: 0730-0301,1557-7368
DOI: 10.1145/3414685.3417849