Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images

We consider the problem of scale detection in images where a region of interest is present together with a measurement tool (e.g. a ruler). For the segmentation part, we focus on the graph based method presented in which reinterprets classical continuous Ginzburg-Landau minimisation models in a tota...

Full description

Bibliographic Details
Main Authors: Calatroni, Luca, van Gennip, Yves, Schönlieb, Carola-Bibiane, Rowland, Hannah M., Flenner, Arjuna
Format: Article
Published: Springer 2016
Subjects:
Online Access:https://eprints.nottingham.ac.uk/37060/
_version_ 1848795384408702976
author Calatroni, Luca
van Gennip, Yves
Schönlieb, Carola-Bibiane
Rowland, Hannah M.
Flenner, Arjuna
author_facet Calatroni, Luca
van Gennip, Yves
Schönlieb, Carola-Bibiane
Rowland, Hannah M.
Flenner, Arjuna
author_sort Calatroni, Luca
building Nottingham Research Data Repository
collection Online Access
description We consider the problem of scale detection in images where a region of interest is present together with a measurement tool (e.g. a ruler). For the segmentation part, we focus on the graph based method presented in which reinterprets classical continuous Ginzburg-Landau minimisation models in a totally discrete framework. To overcome the numerical difficulties due to the large size of the images considered we use matrix completion and splitting techniques. The scale on the measurement tool is detected via a Hough transform based algorithm. The method is then applied to some measurement tasks arising in real-world applications such as zoology, medicine and archaeology.
first_indexed 2025-11-14T19:31:14Z
format Article
id nottingham-37060
institution University of Nottingham Malaysia Campus
institution_category Local University
last_indexed 2025-11-14T19:31:14Z
publishDate 2016
publisher Springer
recordtype eprints
repository_type Digital Repository
spelling nottingham-370602020-05-04T17:59:47Z https://eprints.nottingham.ac.uk/37060/ Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images Calatroni, Luca van Gennip, Yves Schönlieb, Carola-Bibiane Rowland, Hannah M. Flenner, Arjuna We consider the problem of scale detection in images where a region of interest is present together with a measurement tool (e.g. a ruler). For the segmentation part, we focus on the graph based method presented in which reinterprets classical continuous Ginzburg-Landau minimisation models in a totally discrete framework. To overcome the numerical difficulties due to the large size of the images considered we use matrix completion and splitting techniques. The scale on the measurement tool is detected via a Hough transform based algorithm. The method is then applied to some measurement tasks arising in real-world applications such as zoology, medicine and archaeology. Springer 2016-07-25 Article PeerReviewed Calatroni, Luca, van Gennip, Yves, Schönlieb, Carola-Bibiane, Rowland, Hannah M. and Flenner, Arjuna (2016) Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images. Journal of Mathematical Imaging and Vision . ISSN 1573-7683 Graph clustering Discrete Ginzburg–Landau functional Image segmentation Scale detection Hough transform http://link.springer.com/article/10.1007%2Fs10851-016-0678-0 doi:10.1007/s10851-016-0678-0 doi:10.1007/s10851-016-0678-0
spellingShingle Graph clustering
Discrete Ginzburg–Landau functional
Image segmentation
Scale detection
Hough transform
Calatroni, Luca
van Gennip, Yves
Schönlieb, Carola-Bibiane
Rowland, Hannah M.
Flenner, Arjuna
Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images
title Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images
title_full Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images
title_fullStr Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images
title_full_unstemmed Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images
title_short Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images
title_sort graph clustering, variational image segmentation methods and hough transform scale detection for object measurement in images
topic Graph clustering
Discrete Ginzburg–Landau functional
Image segmentation
Scale detection
Hough transform
url https://eprints.nottingham.ac.uk/37060/
https://eprints.nottingham.ac.uk/37060/
https://eprints.nottingham.ac.uk/37060/