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

Tuomas Turpeinen; Markko Myllys; Pekka Kekalainen; Jussi Timonen

doi:10.1109/TIP.2015.2484061

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

Tuomas Turpeinen, Markko Myllys, Pekka Kekalainen, Jussi Timonen

Not published at VTT

Research output: Contribution to journal › Article › Scientific › peer-review

8 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	5696-5705
Number of pages	10
Journal	IEEE Transactions on Image Processing
Volume	24
Issue number	12
DOIs	https://doi.org/10.1109/TIP.2015.2484061
Publication status	Published - Dec 2015
MoE publication type	Not Eligible

Keywords

Gray-scale
Image segmentation
Mathematical model
Noise
Surface morphology
Surface topography
Three-dimensional displays

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10.1109/TIP.2015.2484061

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title = "Interface Detection Using a Quenched-Noise Version of the Edwards-Wilkinson Equation",

abstract = "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.",

keywords = "Gray-scale, Image segmentation, Mathematical model, Noise, Surface morphology, Surface topography, Three-dimensional displays",

author = "Tuomas Turpeinen and Markko Myllys and Pekka Kekalainen and Jussi Timonen",

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AU - Turpeinen, Tuomas

AU - Myllys, Markko

AU - Kekalainen, Pekka

AU - Timonen, Jussi

PY - 2015/12

Y1 - 2015/12

N2 - 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.

AB - 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.

KW - Gray-scale

KW - Image segmentation

KW - Mathematical model

KW - Noise

KW - Surface morphology

KW - Surface topography

KW - Three-dimensional displays

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DO - 10.1109/TIP.2015.2484061

M3 - Article

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VL - 24

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EP - 5705

JO - IEEE Transactions on Image Processing

JF - IEEE Transactions on Image Processing

IS - 12

ER -

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

Abstract

Keywords

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