title: Diffusive smoothing of 3D segmented medical data.
abstract: This paper proposes an accurate, computationally efficient, and spectrum-free formulation of the heat diffusion smoothing on 3D shapes, represented as triangle meshes. The idea behind our approach is to apply a [Formula: see text]-degree Padé-Chebyshev rational approximation to the solution of the heat diffusion equation. The proposed formulation is equivalent to solve r sparse, symmetric linear systems, is free of user-defined parameters, and is robust to surface discretization. We also discuss a simple criterion to select the time parameter that provides the best compromise between approximation accuracy and smoothness of the solution. Finally, our experiments on anatomical data show that the spectrum-free approach greatly reduces the computational cost and guarantees a higher approximation accuracy than previous work.
authors.affiliation: CNR-IMATI, Genova, Italy.
authors.forename: Giuseppe
authors.initials: G
authors.lastname: Patané
keywords: Heat kernel smoothing; Medical data; Padé–Chebyshev method; Surface-based representations