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Segmentation of Tensor Fields: Recent Advances and Perspectives

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Tensors in Image Processing and Computer Vision

Part of the book series: Advances in Pattern Recognition ((ACVPR))

Abstract

The segmentation of tensor-valued images or 3D volumes is a relatively recent issue in image processing, but a significant effort has been made in the last years. Most of this effort has been focused on the segmentation of anatomical structures from DT-MRI (Diffusion Tensor Magnetic Resonance Imaging), and some contributions have also been made for the segmentation of 2D textured images using the Local Structure Tensor (LST). In this chapter, we carefully review the state of the art in the segmentation of tensor fields. We will discuss the main approaches that have been proposed in the literature, with particular emphasis on the importance of the different tensor dissimilarity measures. Also, we will highlight the key limitations of the segmentation techniques proposed so far, and will provide some insight on the directions of current research.

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Authors and Affiliations

  1. Laboratory of Mathematics in Imaging, Harvard Medical School, Boston, MA, USA

    Rodrigo de Luis-García

  2. Laboratorio de Procesado de Imagen, Universidad de Valladolid, Valladolid, Spain

    Carlos Alberola-López

  3. Laboratory of Mathematics in Imaging, Harvard Medical School, Boston, MA, USA

    Carl-Fredrik Westin

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  1. Rodrigo de Luis-García
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  2. Carlos Alberola-López
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  3. Carl-Fredrik Westin
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Correspondence to Rodrigo de Luis-García .

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Editors and Affiliations

  1. Escuela Técnica Superior de Ingenieros de Telecomunicacíon, Universidad de Valladolid, Campus Miguel Delibes, 47011 Valladolid, Spain

    Santiago Aja-Fernández  & Rodrigo de Luis García  & 

  2. Dept. Computing, HongKong Polytechnic University, Hong Kong

    Dacheng Tao

  3. University of London Birkbeck College School of Computer Science & Information Systems, Malet Street, London, WC1E 7HX, UK

    Xuelong Li

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de Luis-García, R., Alberola-López, C., Westin, CF. (2009). Segmentation of Tensor Fields: Recent Advances and Perspectives. In: Aja-Fernández, S., de Luis García, R., Tao, D., Li, X. (eds) Tensors in Image Processing and Computer Vision. Advances in Pattern Recognition. Springer, London. https://doi.org/10.1007/978-1-84882-299-3_2

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