Area- and angle-preserving parameterization for vertebra surface mesh

Shoko Miyauchi, Kenichi Morooka, Tokuo Tsuji, Yasushi Miyagi, Takaichi Fukuda, Ryo Kurazume

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

This paper proposes a parameterization method of vertebra models by mapping them onto the parameterized surface of a torus. Our method is based on a modified Self-organizing Deformable Model (mSDM) [1], which is a deformable model guided by competitive learning and an energy minimization approach. Unlike conventional mapping methods, the mSDM finds the one-to-one mapping between arbitrary surface model and the target surface with the same genus as the model. At the same time, the mSDM can preserve geometrical properties of the original model before and after mapping. Moreover, users are able to control mapping positions of the feature vertices in the model. Using the mSDM, the proposed method maps the vertebra model onto a torus surface through an intermediate surface with the approximated shape of the vertebra. The use of the intermediate surface results in the stable mapping of the vertebra to a torus compared with the direct mapping from the model to the torus.

Original languageEnglish
Title of host publicationRecent Advances in Computational Methods and Clinical Applications for Spine Imaging
EditorsTobias Klinder, Jianhua Yao, Shuo Li, Shuo Li, Ben Glocker
PublisherNewswood Limited
Pages187-198
Number of pages12
ISBN (Electronic)9783319141473
DOIs
Publication statusPublished - Jan 1 2015
Event2nd Workshop on Computational Methods and Clinical Applications for Spine Imaging, CSI 2014 held in conjunction with MICCAI 2014 - Boston, United States
Duration: Sep 14 2014Sep 14 2014

Publication series

NameLecture Notes in Engineering and Computer Science
Volume20
ISSN (Print)2078-0958

Other

Other2nd Workshop on Computational Methods and Clinical Applications for Spine Imaging, CSI 2014 held in conjunction with MICCAI 2014
CountryUnited States
CityBoston
Period9/14/149/14/14

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All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)

Cite this

Miyauchi, S., Morooka, K., Tsuji, T., Miyagi, Y., Fukuda, T., & Kurazume, R. (2015). Area- and angle-preserving parameterization for vertebra surface mesh. In T. Klinder, J. Yao, S. Li, S. Li, & B. Glocker (Eds.), Recent Advances in Computational Methods and Clinical Applications for Spine Imaging (pp. 187-198). (Lecture Notes in Engineering and Computer Science; Vol. 20). Newswood Limited. https://doi.org/10.1007/978-3-319-14148-0-16