Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Spatio-Temporal Scale Selection in Video Data Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Local Mean Multiphase Segmentation with HMMF Models

Authors : Jacob Daniel Kirstejn Hansen, François Lauze

Published in: Scale Space and Variational Methods in Computer Vision

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper presents two similar multiphase segmentation methods for recovery of segments in complex weakly structured images, with local and global bias fields, because they can occur in some X-ray CT imaging modalities. Derived from the Mumford-Shah functional, the proposed methods assume a fixed number of classes. They use local image average as discriminative features. Region labels are modelled by Hidden Markov Measure Field Models. The resulting problems are solved by straightforward alternate minimisation methods, particularly simple in the case of quadratic regularisation of the labels. We demonstrate the proposed methods’ capabilities on synthetic data using classical segmentation criteria as well as criteria specific to geoscience. We also present a few examples using real data.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Multinomial Level-Set Framework for Multi-region Image Segmentation
next chapter An Efficient Lagrangian Algorithm for an Anisotropic Geodesic Active Contour Model
Literature
1.
2.
Brox, T., Cremers, D.: On local regions models and a statistical interpretation of the piecewise smooth Mumford-Shah functional. Int. J. Comput. Vis. 84, 184–193 (2009)CrossRef
3.
Buzug, T.N.: Computed Tomography from Photon Statistics to Modern Cone Beam CT. Springer, Berlin (2008)
4.
5.
Chan, T.F., Vese, L.A.: Active contours without edges. Trans. Image Process. 10(2), 266–277 (2001)CrossRefMATH
6.
Hansen, P.C., O’Leary, D.P.: The use of the L-curve in the regularization of discrete ill-posed problems. SIAM J. Sci. Comput. 14(6), 1487–1503 (1993)MathSciNetCrossRefMATH
7.
8.
Huang, C., Zeng, L.: An active contour model for the segmentation of images with intensity inhomogeneities and bias field estimation. PloS One 10(4), e0120399 (2015)CrossRef
9.
Lauze, F., Nielsen, M.: From inpainting to active contours. Int. J. Comput. Vis. 79(1), 31–43 (2008)CrossRefMATH
10.
Marroquin, J.L., Santana, E.A., Botello, S.: Hidden Markov measure field models for image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 25(11), 1380–1387 (2003)CrossRef
11.
Mumford, D., Shah, J.: Optimal approximations by piecewise smooth functions and associated variational problems. Commun. Pure Appl. Math. 42(5), 577–685 (1989)MathSciNetCrossRefMATH
12.
Müter, D., Pedersen, S., Sørensen, H.O., Feidenhans’L, R., Stipp, S.L.S.: Improved segmentation of X-ray tomography data from porous rocks using a dual filtering approach. Comput. Geosci. 49, 131–139 (2012)CrossRef
13.
Müter, D., Sørensen, H.O., Jha, D., Harti, R., Dalby, K.N., Suhonen, H., Feidenhans, R., Engstrøm, F., Stipp, S.L.S.: Resolution dependence of petrophysical parameters derived from X-ray tomography of chalk. Appl. Phys. Lett. 105, 4 (2014)CrossRef
14.
Nielsen, M., Florack, L., Deriche, R.: Regularization, scale-space, and edge detection filters. J. Math. Imaging Vis. 7, 291–307 (1997)MathSciNetCrossRef
15.
Pham, D.L., Prince, J.L.: Adaptive fuzzy segmentation of magnetic resonance images. IEEE Trans. Med. Imaging 18(9), 737–752 (1999)CrossRef
16.
Wang, X.-F., Huang, D.-S., Xu, H.: An efficient local chan-vese model for image segmentation. Pattern Recognit. 43(3), 603–618 (2010)CrossRefMATH
Metadata
Title
Local Mean Multiphase Segmentation with HMMF Models
Authors
Jacob Daniel Kirstejn Hansen
François Lauze
Copyright Year
2017
Book
Scale Space and Variational Methods in Computer Vision

Print ISBN: 978-3-319-58770-7

Electronic ISBN: 978-3-319-58771-4

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-58771-4_32

Premium Partner

    Image Credits