Diffeomorphic Metric Mapping of Hybrid Diffusion Imaging Based on BFOR Signal Basis
In this paper, we propose a large deformation diffeomorphic metric mapping algorithm to align multiple b-value diffusion weighted imaging (mDWI) data, specifically acquired via hybrid diffusion imaging (HYDI), denoted as LDDMM-HYDI. We adopt the work given in Hosseinbor et al. (2012) and represent the q-space diffusion signal with the Bessel Fourier orientation reconstruction (BFOR) signal basis. The BFOR framework provides the representation of mDWI in the q-space and thus reduces memory requirement. In addition, since the BFOR signal basis is orthonormal, the L 2 norm that quantifies the differences in q-space signals of any two mDWI datasets can be easily computed as the sum of the squared differences in the BFOR expansion coefficients. In this work, we show that the reorientation of the q-space signal due to spatial transformation can be easily defined on the BFOR signal basis. We incorporate the BFOR signal basis into the LDDMM framework and derive the gradient descent algorithm for LDDMM-HYDI with explicit orientation optimization. Using real HYDI datasets, we show that it is important to consider the variation of mDWI reorientation due to a small change in diffeomorphic transformation in the LDDMM-HYDI optimization.
KeywordsDiffusion Tensor Imaging Orientation Distribution Function Diffusion Signal Gradient Descent Algorithm Spatial Transformation
Unable to display preview. Download preview PDF.
- 2.Cetingul, H., Afsari, B., Vidal, R.: An algebraic solution to rotation recovery in hardi from correspondences of orientation distribution functions. In: 2012 9th IEEE International Symposium on Biomedical Imaging (ISBI), pp. 38–41 (May 2012)Google Scholar
- 3.Dhollander, T., Van Hecke, W., Maes, F., Sunaert, S., Suetens, P.: Spatial transformations of high angular resolution diffusion imaging data in Q-space. In: MICCAI CDMRI Workshop, pp. 73–83 (2010)Google Scholar
- 4.Dhollander, T., Veraart, J., Van Hecke, W., Maes, F., Sunaert, S., Sijbers, J., Suetens, P.: Feasibility and advantages of diffusion weighted imaging atlas construction in Q-space. In: Fichtinger, G., Martel, A., Peters, T. (eds.) MICCAI 2011, Part II. LNCS, vol. 6892, pp. 166–173. Springer, Heidelberg (2011)CrossRefGoogle Scholar