This paper is about two arrangements of hyperplanes. The first — the Shi arrangement — was introduced by Jian-Yi Shi to describe the Kazhdan-Lusztig cells in the affine Weyl group of type A. The second — the Ish arrangement — was recently defined by the first author who used the two arrangements together to give a new interpretation of the q, t-Catalan numbers of Garsia and Haiman. In the prese...

We report on the development of a multimodal communications system in the home, involving a networked arrangement of heterogeneous communications technologies centred on shared 'hub' displays. The prototype has integrated SMS and MMS messaging, remote and local voice messaging, video messaging, 'scribble' notes, camera image downloading, as well as a number of other electronic file formats. We ...

We show that a simple (few-element) arrangement for wavelength-multiplexed digital holography allows the measurement of the electric field E x ,y , t of a femtosecond laser pulse on a single shot. A slightly rotated twodimensional diffractive optical element and a variable-wavelength filter together generate multiple spectrally resolved digital holograms that are simultaneously captured in a si...

A retinal prosthesis was permanently implanted in the eye of a completely blind test subject. This report details the results from the first 10 weeks of testing with the implant subject. The implanted device included an extraocular case to hold electronics, an intraocular electrode array (platinum disks, 4 x 4 arrangement) designed to interface with the retina, and a cable to connect the electr...

A Michelson-type spectral interferometer that uses a common beam path for the reference and the sample arms is described. This optical arrangement is more compact and stable than the more commonly used dual-arm interferometer and is well suited for frequency-domain optical coherence tomography of biological samples. With a 16-bit CCD camera, the instrument has sufficient dynamic range and resol...

We present a high-resolution in situ imaging and localization method of energetic particle beams. Recording of the scattered radiation from a thin featureless foil, placed in the path of the beam, and taken with a pinhole or coded aperture camera arrangement magnifies beam movements at the sensor. At the same time, a magnified image of the beam is available with an exceptional signal-to-noise r...

We present a human detection system based on an omnidirectional camera which has the advantages of detecting a large view-field. We adopted Haar-like feature based AdaBoost cascade classifiers to detect different human body parts. A proper probabilistic model for presenting the arrangement of the detected human body parts have been proposed in this paer, and successfully reduced the false posit...

A system is presented for monitoring the work of a fastfood employee using a single static camera. Skin detection, shadow detection, and region-growing are used as low-level techniques in order to analyze a video of an employee preparing a hamburger or sandwich. At the end of the video, the system produces a description of the sandwich that was prepared, for example: [bread, turkey, lettuce, br...

Most projector-based immersive displays have numerous problems relating to complexity, space, and cost. We present a technique for rendering perspectively correct images using a casual arrangement of a projector, a mirror and a display surface. Our technique renders an arbitrarily wide field of view using an efficient GPU-based single-pass rendering algorithm. The rendering algorithm is precede...

For most algorithms dealing with sets of points in the plane, the only relevant information carried by the input is the combinatorial configuration of the points: the orientation of each triple of points in the set (clockwise, counterclockwise, or collinear). This information is called the order type of the point set. In the dual, realizable order types and abstract order types are combinatoria...