Abstract: An emulsion system includes a plurality of monodisperse particle-drops. Each particle-drop is formed by a single elongated drop-carrier particle disposed in an oil-based continuous phase, wherein the single elongated drop-carrier particle comprises an elongate body with an opening at one end thereof. The single elongated drop-carrier particle has a hydrophilic interior region containing an aqueous droplet and a hydrophobic exterior region. The aqueous droplet and/or a surface of the hydrophilic interior region may contain one or more reagents, analytes, labels, reporter molecules, and/or cells.

Abstract: Systems and methods of fabricating and functionality patterned nanowire probes that are stable under fluid reservoir conditions and have imageable contrast are provided. Optical imaging and deconstruction methods and systems are also provided that are capable of determining the distribution of nanowires of a particular pattern to determine the mixing between or leakage from fluid reservoirs.

Abstract: Systems and methods of fabricating and functionalizing patterned nanowire probes that are stable under fluid reservoir conditions and have imageable patterns are provided. Additional embodiments possess functionalized molecular groups to collect content data of desired chemical species from a fluid reservoir in order to detect even highly dilute quantities of the desire chemical species in the reservoir. Optical imaging and deconstruction methods and systems are also provided that are capable of determining the distribution of nanowires of a particular pattern to determine the mixing between or leakage from fluid reservoirs.

Abstract: Systems and methods of fabricating and functionality patterned nanowire probes that are stable under fluid reservoir conditions and have imageable contrast are provided. Optical imaging and deconstruction methods and systems are also provided that are capable of determining the distribution of nanowires of a particular pattern to determine the mixing between or leakage from fluid reservoirs.

Abstract: Systems and methods are disclosed for generating a probability density to estimate the probability that an event will occur in a region of interest. The methods input spatial event data comprising one or more events occurring in the region of interest along with auxiliary data related to the region of interest. The auxiliary data comprises non-event data having spatial resolution such that the probability density estimate for the region of interest is calculated based on a function of the auxiliary data and the event data. In particular, the auxiliary data is used to generate a penalty functional used in the calculation of the probability density estimate.

Abstract: Systems and methods are disclosed for generating a probability density to estimate the probability that an event will occur in a region of interest. The methods input spatial event data comprising one or more events occurring in the region of interest along with auxiliary data related to the region of interest. The auxiliary data comprises non-event data having spatial resolution such that the probability density estimate for the region of interest is calculated based on a function of the auxiliary data and the event data. In particular, the auxiliary data is used to generate a penalty functional used in the calculation of the probability density estimate.

Abstract: Methods for filling in of missing or damaged regions of images using information from surrounding areas are disclosed. A model for binary inpainting based on the Cahn-Hilliard equation is used, which allows for fast, efficient inpainting of degraded text, as well as super-resolution of high contrast images.