Abstract: A method, system, and apparatus for estimation of a count of mobile devices include receiving one or more probe data points including a location and a session identifier, constructing a trajectory including the one or more probe data points having a same session identifier, constructing a trajectory including the one or more probe data points having a same session identifier and generated by one mobile device of the plurality of the mobile devices, dividing the trajectory area by an area of the observation area, and estimating the count of mobile devices in the observation area from at least the normalized trajectory area. A path of the trajectory is based on the location of the one or more probe data points expanding the path of the trajectory by a radius where a result of the expanding is a trajectory area. A result of the dividing is a first normalized trajectory area.

Abstract: A method, system, and apparatus for estimation of a count of mobile devices include receiving one or more probe data points including a location and a session identifier, constructing a trajectory including the one or more probe data points having a same session identifier, constructing a trajectory including the one or more probe data points having a same session identifier and generated by one mobile device of the plurality of the mobile devices, dividing the trajectory area by an area of the observation area, and estimating the count of mobile devices in the observation area from at least the normalized trajectory area. A path of the trajectory is based on the location of the one or more probe data points expanding the path of the trajectory by a radius where a result of the expanding is a trajectory area. A result of the dividing is a first normalized trajectory area.

Abstract: An approach is provided for visualizing risk levels associated with aerial vehicle flights. The approach, for example, involves determining a flight path for an aerial vehicle. The approach also involves calculating at least one risk area along the flight path based on risk-related data associated with the flight path (e.g., data on population density, electromagnetic fields, absence of location signals such as Global Positioning System (GPS) signals, weather, network coverage, aviation related data, etc.). The approach further involves generating a representation of the at least one risk area as a virtual obstacle object and rendering the virtual obstacle object in a user interface of a device in relation to the flight path.

Abstract: An approach is provided for computing a three-dimensional route (e.g., a flight path) based on risk-related data. The approach, for example, involves receiving an input specifying an origin, a destination, or a combination thereof for generating a three-dimensional route at a specified time. The approach also involves retrieving risk-related data for one or more candidate three-dimensional routes based on the origin, the destination, or a combination thereof. The risk-related data, for instance, indicates an occurrence of a safety risk to a vehicle (e.g., aerial vehicle) traveling the one or more candidate three-dimensional routes at the specified time. The approach further involves determining the three-dimensional route from the one or more candidate three-dimensional routes based on computing that the risk-related data for the determined three-dimensional route meets a risk threshold.

Abstract: A method, system, and apparatus for estimation of a number of mobile devices include receiving one or more probe data points including a location, a session identifier, and a timestamp, constructing a trajectory including the one or more probe data points having a same session identifier, calculating a trajectory duration for the trajectory based on the timestamps of the one or more probe data points, calculating a normalized trajectory from the trajectory duration and a predetermined observation duration, and estimating the number of mobile devices from at least the normalized trajectory. A path of the trajectory is based on the location of the one or more probe data points.

Abstract: A method, apparatus and computer program product are provided to analyze and visualize two or more parameters of spatial data. In the context of a method and for each of a plurality of grid cells, an aggregated representation is identified of the data value(s) associated with a respective grid cell and a count of data values that are associated with the respective grid cell. The method also applies a smoothing function to create a smoothed representation of the data value(s) associated with the respective grid cells and to create a smoothed count of the number of data values that are associated with the respective grid cell. For each of the plurality of grid cells, the method causes presentation of a visual depiction of: (i) a value based on the smoothed representation and the smoothed count of the respective grid cell and (ii) the smoothed count of the respective grid cell.

Abstract: A method, apparatus and computer program product are provided to analyze and visualize two or more parameters of spatial data. In the context of a method and for each of a plurality of grid cells, an aggregated representation is identified of the data value(s) associated with a respective grid cell and a count of data values that are associated with the respective grid cell. The method also applies a smoothing function to create a smoothed representation of the data value(s) associated with the respective grid cells and to create a smoothed count of the number of data values that are associated with the respective grid cell. For each of the plurality of grid cells, the method causes presentation of a visual depiction of: (i) a value based on the smoothed representation and the smoothed count of the respective grid cell and (ii) the smoothed count of the respective grid cell.

Abstract: A method of automatically banderoling objects, for example banknotes, arranged in a bundle, by laying a banderole, for example a paper strip, about the bundle, preferably after the bundle was compacted, and thereafter sealing the bundle by jointing together preferably the end portions of the strip. The method is especially characterized in that the strip is jointed together by means of a self-adhesive label after the strip was folded about the bundle, which label is automatically separated from its carrier strip and attached on the strip. The invention also relates to an apparatus for carrying out the method.