Finsler active contours

IEEE Transactions on Pattern Analysis and Machine Intelligence
John MelonakosAllen Tannenbaum

Abstract

In this paper, we propose an image segmentation technique based on augmenting the conformal (or geodesic) active contour framework with directional information. In the isotropic case, the Euclidean metric is locally multiplied by a scalar conformal factor based on image information such that the weighted length of curves lying on points of interest (typically edges) is small. The conformal factor which is chosen depends only upon position and is in this sense isotropic. While directional information has been studied previously for other segmentation frameworks, here we show that if one desires to add directionality in the conformal active contour framework, then one gets a well-defined minimization problem in the case that the factor defines a Finsler metric. Optimal curves may be obtained using the calculus of variations or dynamic programming based schemes. Finally we demonstrate the technique by extracting roads from aerial imagery, blood vessels from medical angiograms, and neural tracts from diffusion-weighted magnetic resonance imagery.

References

Jan 1, 1994·Biophysical Journal·P J BasserD LeBihan
Sep 1, 1999·Proceedings of the National Academy of Sciences of the United States of America·T E ConturoM E Raichle
Oct 12, 2000·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·P J BasserA Aldroubi
Oct 28, 2004·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Michael S HansenJeffrey Tsao
Nov 25, 2004·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Hongxia RenTimothy Q Duong
Nov 25, 2004·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Joseph B MandevilleJohn J A Marota

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Citations

Jun 10, 2010·IEEE Transactions on Medical Imaging·Yi GaoAllen Robert Tannenbaum
Oct 5, 2010·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Mehmet Emre SarginKenneth Rose
Dec 2, 2010·IEEE Transactions on Medical Imaging·Vandana MohanAllen Tannenbaum
Dec 10, 2013·Medical Image Analysis·Ting XuXiaolei Huang
Dec 15, 2010·NeuroImage·Renske de BoerWiro J Niessen
Apr 14, 2016·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Virginie UhlmannMichael Unser
Nov 16, 2013·IEEE Transactions on Pattern Analysis and Machine Intelligence·Christopher ZachMarc Pollefeys
Oct 23, 2010·Journal of Medical Microbiology·R A GladstoneS C Clarke
Sep 25, 2017·Frontiers in Neuroscience·Xiaoming DongAnuj Srivastava
Jan 1, 2018·Journal of Mathematical Imaging and Vision·R DuitsJ M Portegies

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