LOCAL ORTHOGONAL CUTTING METHOD FOR COMPUTING MEDIAL CURVES AND ITS BIOMEDICAL APPLICATIONS.

SIAM Journal on Scientific Computing : a Publication of the Society for Industrial and Applied Mathematics
Xiangmin JiaoVladimir Dyedov

Abstract

Medial curves have a wide range of applications in geometric modeling and analysis (such as shape matching) and biomedical engineering (such as morphometry and computer assisted surgery). The computation of medial curves poses significant challenges, both in terms of theoretical analysis and practical efficiency and reliability. In this paper, we propose a definition and analysis of medial curves and also describe an efficient and robust method called local orthogonal cutting (LOC) for computing medial curves. Our approach is based on three key concepts: a local orthogonal decomposition of objects into substructures, a differential geometry concept called the interior center of curvature (ICC), and integrated stability and consistency tests. These concepts lend themselves to robust numerical techniques and result in an algorithm that is efficient and noise resistant. We illustrate the effectiveness and robustness of our approach with some highly complex, large-scale, noisy biomedical geometries derived from medical images, including lung airways and blood vessels. We also present comparisons of our method with some existing methods.

References

Feb 28, 2003·Medical Physics·Mahnaz MaddahHamid Soltanian-Zadeh
Oct 25, 2003·Computerized Medical Imaging and Graphics : the Official Journal of the Computerized Medical Imaging Society·Mahnaz MaddahAli Afzali-Kusha
Aug 31, 2004·Journal of Applied Physiology·Robert C MolthenChristopher A Dawson
May 6, 2005·Journal of Vascular Surgery·David R WhittakerMark F Fillinger
Jan 9, 2007·American Journal of Physiology. Heart and Circulatory Physiology·Yunlong Huo, Ghassan S Kassab
Mar 16, 2007·IEEE Transactions on Visualization and Computer Graphics·Nicu D CorneaPatrick Min
May 10, 2008·IEEE Transactions on Visualization and Computer Graphics·Yu-Shuen Wang, Tong-Yee Lee
Oct 28, 2008·The Anatomical Record : Advances in Integrative Anatomy and Evolutionary Biology·Daniel R EinsteinRichard A Corley
Jan 27, 2009·Biophysical Journal·Yunlong Huo, Ghassan S Kassab
Jun 16, 2009·Medical & Biological Engineering & Computing·Xiangmin JiaoJames P Carson
Sep 29, 2009·Journal of Computational Physics·Andrew P Kuprat, Daniel R Einstein

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Citations

Dec 19, 2013·Journal of Computational Physics·A P KupratD R Einstein
May 16, 2012·Toxicological Sciences : an Official Journal of the Society of Toxicology·Richard A CorleyDaniel R Einstein
Apr 25, 2012·The Anatomical Record : Advances in Integrative Anatomy and Evolutionary Biology·Moni B NeradilekRichard A Corley

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