PT Journal
AU Sergio Vera
   Debora Gil
   Agnes Borras
   Marius George Linguraru
   Miguel Angel Gonzalez Ballester
TI Geometric Steerable Medial Maps
SO Machine Vision and Applications
JI MVA
PY 2013
BP 1255
EP 1266
VL 24
IS 6
DI 10.1007/s00138-013-0490-4
DE Medial Representations; Medial Manifolds Comparation; Surface; Reconstruction
AB In order to provide more intuitive and easily interpretable representations of complex shapes/organs, medial manifolds should reach a compromise between simplicity in geometry and capability for restoring the anatomy/shape of the organ/volume. Existing morphological methods show excellent results when applied to 2D objects, but their quality drops across dimensions.This paper contributes to the computation of medial manifolds in two aspects. First, we provide a standard scheme for the computation of medial manifolds that avoids degenerated medial axis segments. Second, we introduce a continuous operator for accurate and efficient computation of medial structures of arbitrary dimension. We evaluate quantitatively the performance of our method with respect to existing approaches, by applying them to syn- thetic shapes of known medial geometry. We also show its higher performance for medical imaging applications in terms of simplicity of medial structures and capability for reconstructing the anatomical volume.
ER