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http://hdl.handle.net/1956/2324
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| Title: | Total Variation Regularization of Matrix-Valued Images |
| Authors: | Christiansen, Oddvar
Lee, Tin-Man
Lie, Johan
Sinha, Usha
Chan, Tony F. |
| Issue Date: | 13-Mar-2007 |
| Publisher: | Hindawi Publishing Corporation |
| Series/Report no.: | International Journal of Biomedical Imaging
2007 |
| Abstract: | We generalize the total variation restoration model, introduced by Rudin, Osher, and Fatemi in 1992, to matrix-valued data, in
particular, to diffusion tensor images (DTIs). Our model is a natural extension of the color total variation model proposed by
Blomgren and Chan in 1998. We treat the diffusion matrix D implicitly as the product D = LLT , and work with the elements
of L as variables, instead of working directly on the elements of D. This ensures positive definiteness of the tensor during the
regularization flow, which is essential when regularizing DTI.We perform numerical experiments on both synthetical data and 3D
human brain DTI, and measure the quantitative behavior of the proposed model. |
| URI: | doi:10.1155/2007/27432 (broken)
http://hdl.handle.net/1956/2324 |
| ISSN: | 1687-4196 |
| Appears in Collections: | Department of Mathematics
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