Variational properties of an image segmentation functional depending on contours curvature

Maurizio Paolini; Giovanni Bellettini

Variational properties of an image segmentation functional depending on contours curvature

Maurizio Paolini
, Giovanni Bellettini

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

Abstract

We study a problem of image segmentation involving the length and the curvature of the contours. The (possibly linear) curvature term in the energy functional is introduced, following an idea by Mumford and Nitzberg, in order to reconstruct the hidden parts of the image occluded by regions which are closer to the observer.

Original language	English
Pages (from-to)	681-715
Number of pages	35
Journal	Advances in Mathematical Sciences and Applications
Publication status	Published - 1995

Keywords

image segmentation
variational problems

Cite this

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title = "Variational properties of an image segmentation functional depending on contours curvature",

abstract = "We study a problem of image segmentation involving the length and the curvature of the contours. The (possibly linear) curvature term in the energy functional is introduced, following an idea by Mumford and Nitzberg, in order to reconstruct the hidden parts of the image occluded by regions which are closer to the observer.",

keywords = "image segmentation, variational problems, image segmentation, variational problems",

author = "Maurizio Paolini and Giovanni Bellettini",

year = "1995",

language = "English",

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journal = "Advances in Mathematical Sciences and Applications",

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T1 - Variational properties of an image segmentation functional depending on contours curvature

AU - Paolini, Maurizio

AU - Bellettini, Giovanni

PY - 1995

Y1 - 1995

N2 - We study a problem of image segmentation involving the length and the curvature of the contours. The (possibly linear) curvature term in the energy functional is introduced, following an idea by Mumford and Nitzberg, in order to reconstruct the hidden parts of the image occluded by regions which are closer to the observer.

AB - We study a problem of image segmentation involving the length and the curvature of the contours. The (possibly linear) curvature term in the energy functional is introduced, following an idea by Mumford and Nitzberg, in order to reconstruct the hidden parts of the image occluded by regions which are closer to the observer.

KW - image segmentation

KW - variational problems

KW - image segmentation

KW - variational problems

UR - http://hdl.handle.net/10807/23439

M3 - Article

SN - 1343-4373

SP - 681

EP - 715

JO - Advances in Mathematical Sciences and Applications

JF - Advances in Mathematical Sciences and Applications

ER -

Variational properties of an image segmentation functional depending on contours curvature

Abstract

Keywords

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