# Dynamic Queries through Augmented Reality for Intelligent Video Systems
## 8 Discussion  
Multi-camera systems have proven to be versatile and passive tools for detecting information of interest; however, the amount of information acquired has grown exponentially and has made its analysis a significant challenge when determining patterns and behavior within the monitored scenarios. The techniques and models used for analysis are increasingly new but simultaneously more complex because they require the help of  
Figure 24: The topological space of the proposed metric. The blue dots represent different trajectories ordered according to the proposed metric, where the dispersion is obtained when a dynamic analysis is realized. Figure 25: Generated classes from the reference. The colorful circles represent different classes obtained from applying the proposed metric and analyzing the dynamic of trajectories. advanced technology for their application and visualization, and this is in addition to generating heterogeneous information that is difficult to compare or manipulate. In the present work, a way in which to work with heterogeneous information was sought by mapping it onto a global space with the help of methods that are widely used in the literature, such as homography, as well as by proposing a new metric to compare said information (achieved by taking the dynamics as a reference for the movement of objects of interest (pedestrians)). This provides a metric that does not focus on the temporal or spatiotemporal analysis that exists in the literature. Likewise, an application was developed to create reference and visualization information within the vision space of a test camera system, with excellent results showing the real-time queries of trajectories similar to the generated reference. As there were implementation issues, the proposal involves a central server, which stores and creates the global space that is projected in each camera's field-of-view motion data storage, as well as projects the current camera view of the query information made for a mobile device. The communication occurs over a VPN, where the server responds as a service for querying, and the communication is given by exchanging Jason files that provide the tuples of the trajectories required. This approach elevates technologies to manage several information sources, and it represents all data in a common workspace once the common workspace is used as a global reference for which external queries become possible. In the proposal, queries become visual and are relative to the observer position projecting into the global space. One of the differences that was proposed when carrying out this work was the parameterization of trajectories generated by people within the test space that was built for the development of this research. In this case, they were parameterized using the least squares methodology, which represented the trajectories as square functions because, normally, the trajectories that are generated have smooth curves. In addition, analysis via orthogonal components was used to show that the metric applies to an n-dimensional space, and that it relates to the results at the end by calculating the magnitude of the orthogonal components obtained. As a result, the difference in dynamics between the trajectories was compared. This methodology is innovative as it applies the derivative of the function that is represented to the trajectories independently, thus eliminating spatiality and the integral as a means of defining the area between the trajectories, thereby allowing for an analysis of the data behavior. Additionally, the similarity function is useful because it provides a way through which to match the heterogeneous information stored in a global space. Future work will include the following:  
* The possibility of representing the movement dynamics with polynomials of a different order. * The application of the arc length technique. * The homogenization of information with passive marks to use information through augmented reality. * The incorporation of more sources of heterogeneous information.