id: 05855278
dt: a
an: 05855278
au: Bi, Chongke; Takahashi, Shigeo; Fujishiro, Issei
ti: Interpolating 3D diffusion tensors in 2D planar domain by locating
    degenerate lines.
so: Bebis, George (ed.) et al., Advances in visual computing. 6th international
    symposium, ISVC 2010, Las Vegas, NV, USA, November 29‒December 1,
    2010. Proceedings, Part I. Berlin: Springer (ISBN
    978-3-642-17288-5/pbk). Lecture Notes in Computer Science 6453, 328-337
    (2010).
py: 2010
pu: Berlin: Springer
la: EN
cc: 
ut: 
ci: 
li: doi:10.1007/978-3-642-17289-2_32
ab: Summary: Interpolating diffusion tensor fields is a key technique to
    visualize the continuous behaviors of biological tissues such as nerves
    and muscle fibers. However, this has been still a challenging task due
    to the difficulty to handle possible degeneracy, which means the
    rotational inconsistency caused by degenerate points. This paper
    presents an approach to interpolating 3D diffusion tensors in 2D planar
    domains by aggressively locating the possible degeneracy while fully
    respecting the underlying transition of tensor anisotropy. The primary
    idea behind this approach is to identify the degeneracy using minimum
    spanning tree-based clustering algorithm, and resolve the degeneracy by
    optimizing the associated rotational transformations. Degenerate lines
    are generated in this process to retain the smooth transitions of
    anisotropic features. Comparisons with existing interpolation schemes
    will be also provided to demonstrate the technical advantages of the
    proposed approach.
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