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.
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页码：634 / 637
页数：4
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