TY - JOUR AU - Sergio Vera AU - Debora Gil AU - Agnes Borras AU - Marius George Linguraru AU - Miguel Angel Gonzalez Ballester ED - Mubarak Shah PY - 2013// TI - Geometric Steerable Medial Maps T2 - MVA JO - Machine Vision and Applications SP - 1255 EP - 1266 VL - 24 IS - 6 PB - Springer Berlin Heidelberg KW - Medial Representations KW - Medial Manifolds Comparation KW - Surface KW - Reconstruction N2 - 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. SN - 0932-8092 UR - http://www.springer.com/computer/image+processing/journal/138 L1 - http://refbase.cvc.uab.es/files/VGB2013.pdf UR - http://dx.doi.org/10.1007/s00138-013-0490-4 N1 - IAM; 605.203; 600.060; 600.044 ID - Sergio Vera2013 ER -