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.

journal_name

J Adv Res

authors

Patané G

doi

10.1016/j.jare.2014.09.003

subject

Has Abstract

pub_date

2015-05-01 00:00:00

pages

425-31

issue

3

eissn

2090-1232

issn

2090-1224

pii

S2090-1232(14)00123-4

journal_volume

6

pub_type

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