The mean boundary curve of anatomical objects

Authors:
Keiko Morita;Atsushi Imiya;Tomoya Sakai;Hidekata Hontan;Yoshitaka Masutani
Affiliations:
School of Advanced Integration Sciences, Chiba University, Japan, Chiba, Japan;Institute of Media and Information Technology, Chiba University, Japan, Chiba, Japan;Department of Computer and Information Science, Nagasaki University, Nagasaki, Japan;Department of Computer Science, Nagoya Institute of Technology, Nagoya, Aichi, Japan;Department of Radiology, The University of Tokyo Hospital Division of Radiology and Biomedical Engineering, Graduate School of Medicine, The University of Tokyo, Tokyo, Japan
Venue:
ACIVS'12 Proceedings of the 14th international conference on Advanced Concepts for Intelligent Vision Systems
Year:
2012

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Abstract

In this paper, we develop an algorithm to compute the mean shape of a collection of planar curves for the computation of the mean shape of a collection of organs. We first define the relative distortion of a pair of curves using curvatures of curves. Then, we derive the mean of curves as the curve which minimises the total distortion of a collection of shapes.