with the real displacement vector and the diffusion time. In DW-MRI the EAP is estimated by obtaining diffusion-weighted images (DWIs). A DWI is obtained by applying two sensitizing diffusion gradients…
. An image will be a square-integrable function on , that is, an element of . Let denote the Lie group of smooth diffeomorphisms on . The Lie algebra for…
() peptide, increasing CSF tau protein and neurodegeneration, characterized by cerebral atrophy and neuron loss. In order to increase the chances of success of a given treatment, the need for…
with high accuracy as demonstrated in [11]. More details can be found in [10, 11]. Cortical Surface Representation Using Currents. The concept of representing a surface as a current derives…
indicating the disease progress of a subject by fitting its ADAS scores to this curve. Similarly, Delor et al. [2] compute a disease onset time by adjusting subjects according to…
. Simply put, we consider normalized histograms on a grid of locations, and assume the distance between any two locations is provided. Next, we extend Wasserstein distances to non-negative vectors…
Fig. 1. A toy example in Euclidean space. Top: (a) Cross-sectional data of two groups, illustrated as red circles and blue squares; (b) the same data with longitudinal information (middle)…
22 mm to 111 mm requires 128 times more imaging time at equal SNR; a 5 min. acquisition would thus become a 10.7 h. acquisition, which is not realistic. Enhancing the spatial resolution requires…
Fig. 1. Microscope images of Drosophila melanogaster imaginal discs with gene expression patterns (Color figure online). A popular method which aligns images and simultaneously estimates a simple statistical shape model…
given an observed image from a different imaging modality and a database of N previously observed image pairs , indexed by n. Note that the technique can be easily extended…
