4TH ORDER DIFFUSION TENSOR INTERPOLATION WITH DIVERGENCE AND CURL CONSTRAINED BEZIER PATCHES

被引：7
|
作者：
Yassine, Inas [1 ]
McGraw, Tim [1 ]
机构：
[1] W Virginia Univ, Dept Comp Sci & Elect Engn, Morgantown, WV 26506 USA
来源：
2009 IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING: FROM NANO TO MACRO, VOLS 1 AND 2 | 2009年
关键词：
Biomedical image processing; Magnetic resonance imaging; Diffusion processes; Interpolation; Spline functions; APPROXIMATION; FRAMEWORK; MRI;
D O I：
10.1109/ISBI.2009.5193127
中图分类号：
R318 [生物医学工程];
学科分类号：
0831 ;
摘要：
We present a tensor field interpolation method based on tensor-valued Bezier patches. The control points of the patch are determined by imposing physical constraints on the interpolated field by constraining the divergence and curl of the tensor field. The method generalizes to Cartesian tensors of all orders. Solving for the control points requires the solution of a sparse linear system. Results are presented for order 2 and 4 tensors and comparisons are made with linear interpolation and a previously proposed subdivision scheme.
引用
收藏
页码：634 / 637
页数：4
相关论文
共 50 条
  • [1] HOW TO APPROXIMATE COSINE CURVE WITH 4TH AND 6TH ORDER BEZIER CURVE IN PLANE?
    Kilicoglu, Seyda
    Yurttancikmaz, Semra
    THERMAL SCIENCE, 2022, 26 : S559 - S570
  • [2] HOW TO APPROXIMATE COSINE CURVE WITH 4TH AND 6TH ORDER BEZIER CURVE IN PLANE?
    Kilicoglu, Seyda
    Yurttancikmaz, Semra
    THERMAL SCIENCE, 2022, 26 (SpecialIssue2): : S559 - S570
  • [3] A 4th order fabric tensor approach applied to granular media
    Millet, O.
    Gu, Shuitao
    Kondo, D.
    COMPUTERS AND GEOTECHNICS, 2009, 36 (05) : 736 - 742
  • [4] Divergence-based framework for diffusion tensor clustering, interpolation, and regularization
    Rohlfing, Torsten
    Sullivan, Edith V.
    Pfefferbaum, Adolf
    INFORMATION PROCESSING IN MEDICAL IMAGING, PROCEEDINGS, 2007, 4584 : 507 - +
  • [5] BIOMARKERS FOR HARDI: 2ND & 4TH ORDER TENSOR INVARIANTS
    Ghosh, Aurobrata
    Papadopoulo, Theo
    Deriche, Rachid
    2012 9TH IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING (ISBI), 2012, : 26 - 29
  • [6] Higher order divergence-free and curl-free interpolation on MAC grids
    Roy-Chowdhury, Ritoban
    Shinar, Tamar
    Schroeder, Craig
    JOURNAL OF COMPUTATIONAL PHYSICS, 2024, 503
  • [7] ON THE SOLUTION OF BOUNDARY-VALUE-PROBLEMS FOR 4TH ORDER DIFFUSION
    LEE, AI
    HILL, JM
    ACTA MECHANICA, 1983, 46 (1-4) : 23 - 35
  • [8] Spectral decomposition of a 4th-order covariance tensor: Applications to diffusion tensor MRI
    Basser, Peter J.
    Pajevic, Sinisa
    SIGNAL PROCESSING, 2007, 87 (02) : 220 - 236
  • [9] A 4TH ORDER REACTION
    BAXENDALE, JH
    GEORGE, P
    NATURE, 1948, 162 (4124) : 777 - 778
  • [10] 4TH ORDER ROTATABILITY
    DRAPER, NR
    HERZBERG, AM
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1985, 14 (03) : 515 - 528
12345