Abstract: An augmented reality (AR) system creates a transformation matrix for conversions between real and virtual spaces based on a given floorplan indicating the physical locations of location markers. These markers may include machine-readable labels or identifiable landmarks. The AR system receives images of the physical space from a content-generating device, along with each image's pose data, indicating the device's position when capturing the image. The system generates a transformation matrix by comparing pose data for each image to the floorplan's indicated location marker. The system may update a position component based on discrepancies between predicted and actual physical locations. This transformation matrix, associated with the specific physical space, is stored for future use.

Abstract: Disclosed are systems and methods for implementing contract-based polymorphic and parallelizable user-defined scalar and aggregate functions. The systems and methods can include receiving a query including a plurality of user-defined functions, parsing the query into a plurality of nodes (e.g., basic operation unit or atomic operator), generating an execution plan that minimizes data transfer between the plurality of nodes, and executing the plan in a distributed environment. Each of the plurality of user-defined functions can correspond to one of a plurality of nodes.