Smoothing tensor-valued images using anisotropic geodesic diffusion

被引:0
|
作者
Zhang, Fan [1 ]
Hancock, Edwin R. [1 ]
机构
[1] Univ York, Dept Comp Sci, York YO10 5DD, N Yorkshire, England
关键词
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper considers the feature space of DT-MRI as a differential manifold with an affine-invariant metric. We generalise Di Zenzo's structure tensor to tensor-valued images for edge detection. To improve the quality of the edges, we develop a generalised Perona-Malik method for smoothing tensor images. We demonstrate our algorithm on both synthetic and real DT-MRI data.
引用
收藏
页码:83 / 91
页数:9
相关论文
共 50 条
  • [31] Maxwell-compensated design of asymmetric gradient waveforms for tensor-valued diffusion encoding
    Szczepankiewicz, Filip
    Westin, Carl-Fredrik
    Nilsson, Markus
    MAGNETIC RESONANCE IN MEDICINE, 2019, 82 (04) : 1424 - 1437
  • [32] Cross-term-compensated gradient waveform design for tensor-valued diffusion MRI
    Szczepankiewicz, Filip
    Sjolund, Jens
    JOURNAL OF MAGNETIC RESONANCE, 2021, 328
  • [33] Multidimensional exponentially fitted simplicial finite elements for convection-diffusion equations with tensor-valued diffusion
    Angermann, L
    Wang, S
    CALCOLO, 2005, 42 (02) : 71 - 91
  • [34] Affine invariant non-linear anisotropic diffusion smoothing strategy for vector-valued images
    Zhang, X-F
    Chen, W-F
    Qian, L.
    Ye, H.
    IMAGING SCIENCE JOURNAL, 2010, 58 (03): : 119 - 124
  • [35] Efficient anisotropic filtering of diffusion tensor images
    Xu, Qing
    Anderson, Adam W.
    Gore, John C.
    Ding, Zhaohua
    MAGNETIC RESONANCE IMAGING, 2010, 28 (02) : 200 - 211
  • [36] Blind source separation of tensor-valued time series
    Virta, Joni
    Nordhausen, Klaus
    SIGNAL PROCESSING, 2017, 141 : 204 - 216
  • [37] In vivo tensor-valued diffusion MRI of focal demyelination in white and deep grey matter of rodents
    He, Yi
    Aznar, Susana
    Siebner, Hartwig R.
    Dyrby, Tim B.
    NEUROIMAGE-CLINICAL, 2021, 30
  • [38] Motion-compensated gradient waveforms for tensor-valued diffusion encoding by constrained numerical optimization
    Szczepankiewicz, Filip
    Sjolund, Jens
    Dall'Armellina, Erica
    Plein, Sven
    Schneider, Jurgen E.
    Teh, Irvin
    Westin, Carl-Fredrik
    MAGNETIC RESONANCE IN MEDICINE, 2021, 85 (04) : 2117 - 2126
  • [39] Vector- and tensor-valued descriptors for spatial patterns
    Beisbart, C
    Dahlke, R
    Mecke, K
    Wagner, H
    MORPHOLOGY OF CONDENSED MATTER: PHYSICS AND GEOMETRY OF SPATIALLY COMPLEX SYSTEMS, 2002, 600 : 238 - 260
  • [40] Histogram analysis of tensor-valued diffusion MRI in meningiomas: Relation to consistency, histological grade and type
    Brabec, Jan
    Szczepankiewicz, Filip
    Lennartsson, Finn
    Englund, Elisabet
    Pebdani, Houman
    Bengzon, Johan
    Knutsson, Linda
    Westin, Carl-Fredrik
    Sundgren, Pia C.
    Nilsson, Markus
    NEUROIMAGE-CLINICAL, 2022, 33