Imaging fiber bundles can map the curved image surface formed by some high-performance lenses onto flat focal plane detectors. The relative alignment between the focal plane array pixels and the quasi-periodic fiber-bundle cores can impose an undesirable space variant moiré pattern, but this effect may be greatly reduced by flat-field calibration, provided that the local responsivity is known. ...

White matter tractography enables studies of fiber bundle characteristics. Stochastic tractography facilitates these investigations by providing a measure of confidence regarding the inferred fiber bundles. This article presents a multithreaded ITK stochastic tractography filter that will enable novel studies of fiber tract abnormalities. Additionally, we provide an easy to use command line int...

Streamline representation of major fiber tract systems along with high-resolution anatomical data provides a reliable orientation for the neurosurgeon. For direct visualization of these data in the surgical field applying heads-up displays of operating microscopes, wrapping of all streamlines of interest to render an individual object representing the whole fiber bundle is mandatory. Integratio...

In this note, we compute the virtual first Betti numbers of 4-manifolds fibering over S1 with prime fiber. As an application, we show that if such a manifold is symplectic with nonpositive Kodaira dimension, then the fiber itself is a sphere or torus bundle over S1. In a different direction, we prove that if the 3-dimensional fiber of such a 4-manifold is virtually fibered then the 4-manifold i...

We define contact fiber bundles and investigate conditions for the existence of contact structures on the total space of such a bundle. The results are analogous to minimal coupling in symplectic geometry. The two applications are construction of K-contact manifolds generalizing Yamazaki’s fiber join construction and a cross-section theorem for contact moment maps.

Fig. 3. The average atlas method results in premature termination of the forceps minor. The proposed method gives a more complete reconstruction of the bundle. Fig. 1. Orientations estimated based on the average atlas method and the proposed method. The proposed method preserves more fiber crossing and estimates the orientations with higher accuracy. Accurate Estimation of Local Fiber Orientati...

We define fiber bundles and discuss the long exact sequence of homotopy groups of a fiber bundle, and we give the Hopf bundles as examples. We also prove the Freudenthal suspension theorem for spheres. All results are applied immediately to homotopy groups of spheres.

Given a Kählerian holomorphic fiber bundle F →֒ M → X, whose fiber F is a compact homogeneous Kähler manifold, we describe the perturbed Hermitian–Einstein equations relative to certain holomorphic vector bundles E → M . With respect to special metrics on E, there is a dimensional reduction procedure which reduces this equation to a system of equations on X known as the twisted coupled vortex eq...

We report on a Tm:fiber master oscillator power amplifier (MOPA) system producing 109 W CW output power, with >15 dB polarization extinction ratio, sub-nm spectral linewidth, and M2 <1.25. The system consists of polarization maintaining (PM) fiber and PM-fiber components including tapered fiber bundle pump combiners, a single-mode to large mode area mode field adapter, and a fiber-coupled isola...