Interface Detection Using a Quenched-Noise Version of the Edwards-Wilkinson Equation

We report here a multipurpose dynamic-interface-based segmentation tool, suitable for segmenting planar, cylindrical, and spherical surfaces in 3D. The method is fast enough to be used conveniently even for large images. Its implementation is straightforward and can be easily realized in many enviro...

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Published in:IEEE transactions on image processing 2015-12, Vol.24 (12), p.5696-5705
Main Authors: Turpeinen, Tuomas, Myllys, Markko, Kekalainen, Pekka, Timonen, Jussi
Format: Article
Language:English
Subjects:
Discretization
Fluctuation
Gray-scale
Image segmentation
Mathematical analysis
Mathematical model
Mathematical models
Noise
Surface morphology
Surface topography
Three dimensional
Three-dimensional displays
Transaction processing
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cited_by cdi_FETCH-LOGICAL-c380t-551a0c4a064f15f9b2ca83780d044d36d27f6b2f608d7b563cb677dd64b98cbb3
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container_issue 12
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container_title IEEE transactions on image processing
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creator Turpeinen, Tuomas
Myllys, Markko
Kekalainen, Pekka
Timonen, Jussi
description We report here a multipurpose dynamic-interface-based segmentation tool, suitable for segmenting planar, cylindrical, and spherical surfaces in 3D. The method is fast enough to be used conveniently even for large images. Its implementation is straightforward and can be easily realized in many environments. Its memory consumption is low, and the set of parameters is small and easy to understand. The method is based on the Edwards-Wilkinson equation, which is traditionally used to model the equilibrium fluctuations of a propagating interface under the influence of temporally and spatially varying noise. We report here an adaptation of this equation into multidimensional image segmentation, and its efficient discretization.
doi_str_mv 10.1109/TIP.2015.2484061
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subjects Discretization
Fluctuation
Gray-scale
Image segmentation
Mathematical analysis
Mathematical model
Mathematical models
Noise
Surface morphology
Surface topography
Three dimensional
Three-dimensional displays
Transaction processing
title Interface Detection Using a Quenched-Noise Version of the Edwards-Wilkinson Equation
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