TY - GEN
T1 - Interpolating 3D diffusion tensors in 2D planar domain by locating degenerate lines
AU - Bi, Chongke
AU - Takahashi, Shigeo
AU - Fujishiro, Issei
N1 - Funding Information:
Acknowledgements. We thank Haruhisa Ishida helped us implement an early version of the prototype system. This work has been partially supported by Japan Society of the Promotion of Science under Grants-in-Aid for Scientific Research (B) No. 22300037, and Challenging Exploratory Researches No. 21650019.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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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U2 - 10.1007/978-3-642-17289-2_32
DO - 10.1007/978-3-642-17289-2_32
M3 - Conference contribution
AN - SCOPUS:78650762608
SN - 3642172881
SN - 9783642172885
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 328
EP - 337
BT - Advances in Visual Computing - 6th International Symposium, ISVC 2010, Proceedings
T2 - 6th International, Symposium on Visual Computing, ISVC 2010
Y2 - 29 November 2010 through 1 December 2010
ER -