Table 1. A comparison of valid tensors in the DTIs based on DWIs of different strategies of distortion correction. Our method provided the best result, while some other method may increase the number of ill-conditioned tensors (nonpositive definite). (a) (b) (c) (d) Figure 1. A comparison of distortion correction using different approaches. First Row: The simulated dataset; Second Row: The real...

In this paper we present a novel application which uses 2D barcode for object tracking and event detection. We analyze the relationship between the spatial efficiency of a marker and its robustness against defocusing. Based on our analysis we design a spatially efficient and robust 2D barcode, M-Code (MarkerCode) which can be attached to the surface of static or moving objects. Compared with tr...

The problem of minimal distortion bending of smooth compact embedded connected Riemannian n-manifolds M and N without boundary is made precise by defining a deformation energy functional Φ on the set of diffeomorphisms Diff(M,N). We derive the Euler-Lagrange equation for Φ and determine smooth minimizers of Φ in case M and N are simple closed curves. MSC 2000 Classification: 58E99

G. Kindlmann1, A. L. Alexander2,3, M. Lazar2,3, J. Lee2, T. Tasdizen1, R. Whitaker1 Computer Science, University of Utah, Salt Lake City, UT, United States, Medical Physics, University of Wisconsin, Madison, WI, United States, W.M. Keck Lab, University of Wisconsin, Madison, WI, United States Introduction In a diffusion-weighted imaging experiment, the strong diffusion-sensitizing gradients can...

We report on the detection of dark matter in the cluster Abell 2218 using the weak gravitational distortion of background galaxies. We find a highly significant, coherent detection of the distortion in the images of the background galaxies. We use HST images from the Medium Deep Survey to calibrate the suppression in the observed distortion due to atmospheric smearing. The inferred 2D mass dist...

Genome-scale scans have revealed highly heterogeneous levels of divergence between closely related taxa in many systems. Generally, a small number of regions show high differentiation, with the rest of the genome showing no or only low levels of divergence. These patterns have been interpreted as evidence for ongoing speciation-with-gene-flow, with introgression homogenizing the whole genome ex...

In the Steiner point removal (SPR) problem, we are given a weighted graph G = (V,E) and a set of terminals K ⊂ V of size k. The objective is to find a minor M of G with only the terminals as its vertex set, such that the distance between the terminals will be preserved up to a small multiplicative distortion. Kamma, Krauthgamer and Nguyen [KKN15] used a ballgrowing algorithm with exponential di...