Heat Kernel Smoothing of Anatomical Manifolds via Laplace-Beltrami Eigenfunctions
نویسندگان
چکیده
We present a novel surface smoothing framework using the Laplace-Beltrami eigenfunctions. The Green’s function of an isotropic diffusion equation on a manifold is analytically represented using the eigenfunctions of the Laplace-Beltraimi operator. The Green’s function is then used in explicitly constructing heat kernel smoothing as a series expansion of the eigenfunctions. Unlike many previous surface diffusion approaches, diffusion is analytically represented using
منابع مشابه
Heat Kernel Smoothing of Anatomical Manifolds via Laplace-Beltrami Eigenfunctions Submitted to IEEE Transactions on Medical Imaging
We present a novel surface smoothing framework using the Laplace-Beltrami eigenfunctions. The Green’s function of an isotropic diffusion equation on a manifold is analytically represented using the eigenfunctions of the Laplace-Beltraimi operator. The Green’s function is then used in explicitly constructing heat kernel smoothing as a series expansion of the eigenfunctions. Unlike many previous ...
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