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Techniques for Computing Fabric Tensors: A Review
Linköping University, Department of Medical and Health Sciences, Division of Radiological Sciences. Linköping University, Faculty of Health Sciences. Linköping University, Center for Medical Image Science and Visualization (CMIV).ORCID iD: 0000-0001-5765-2964
Linköping University, Department of Biomedical Engineering. Linköping University, The Institute of Technology. Linköping University, Center for Medical Image Science and Visualization (CMIV).ORCID iD: 0000-0002-9267-2191
Linköping University, Department of Medical and Health Sciences, Division of Radiological Sciences. Linköping University, Faculty of Health Sciences. Östergötlands Läns Landsting, Center for Diagnostics, Department of Radiology in Linköping. Linköping University, Center for Medical Image Science and Visualization (CMIV).ORCID iD: 0000-0002-7750-1917
2014 (English)In: Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data / [ed] Carl-Fredrik Westin, Anna Vilanova, Bernhard Burgeth, Springer Berlin/Heidelberg, 2014, 271-292 p.Chapter in book (Refereed)
Abstract [en]

The aim of this chapter is to review different approaches that have been proposed to compute fabric tensors with emphasis on trabecular bone research. Fabric tensors aim at modeling through tensors both anisotropy and orientation of a material with respect to another one. Fabric tensors are widely used in fields such as trabecular bone research, mechanics of materials and geology. These tensors can be seen as semi-global measurements since they are computed in relatively large neighborhoods, which are assumed quasi-homogeneous. Many methods have been proposed to compute fabric tensors. We propose to classify fabric tensors into two categories: mechanics-based and morphology-based. The former computes fabric tensors from mechanical simulations, while the latter computes them by analyzing the morphology of the materials. In addition to pointing out advantages and drawbacks for each method, current trends and challenges in this field are also summarized.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2014. 271-292 p.
Series
Mathematics and Visualization, ISSN 1612-3786 ; Part IV
Keyword [en]
Fabric tensors, trabecular bone, biomechanics, osteoporosis
National Category
Medical Image Processing
Identifiers
URN: urn:nbn:se:liu:diva-109047DOI: 10.1007/978-3-642-54301-2_12ISBN: 978-3-642-54300-5 (print)ISBN: 978-3-642-54301-2 (print)OAI: oai:DiVA.org:liu-109047DiVA: diva2:735968
Funder
Swedish Research Council, 2006-5670
Available from: 2014-08-04 Created: 2014-08-04 Last updated: 2014-10-08Bibliographically approved

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Techniques for Computing Fabric Tensors: A Review(1166 kB)727 downloads
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Moreno, RodrigoBorga, MagnusSmedby, Örjan

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Division of Radiological SciencesFaculty of Health SciencesCenter for Medical Image Science and Visualization (CMIV)Department of Biomedical EngineeringThe Institute of TechnologyDepartment of Radiology in Linköping
Medical Image Processing

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