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Introduction  Handling exponentially increasing amounts of numerical data presents a formidable challenge. Even more demanding is the task of devising efficient methods for interacting with such data to facilitate informed decision-making.
It is widely acknowledged that among the most compact and efficient methods to visualize numerical data are 2D or 3D images. A variety of graphical resources, including forms, colors, patterns, and coordinate locations, can be employed to encode the numerical data and their corresponding meanings or conveyed information. This approach facilitates the emergence of fresh insights into problems and enhances the decision-making process. With a modest increase in computational effort, numerical data collected at various time points can be interpolated and showcased in a manner that enables users to readily grasp their evolution over a given time period. The primary objective of this project is to explore diverse visualization approaches tailored for delving into extensive sets of data. These solutions are intended to facilitate the decision-making process across various contexts. By transforming complex numerical information into visual representations, we have a tangible way to comprehend the intricate relationships between data patterns and the pertinent variables. With a focus on efficiency, portability and availability, the outcomes of our research endeavors have been realized using open-source and readily accessible software solutions. To execute rendering tasks, we utilize the OpenGL 2D and 3D graphics application programming interface, ensuring a robust foundation for our implementations. In collaboration with an expert in Dynamical Systems, we successfully developed a system to visualize Poincaré maps for analyzing diverse dynamical systems represented by differential equations. Prof. Aguiar's expertise played a pivotal role in guiding the interpretation of simulation data, mapping this data onto visual elements, and accurately interpreting the outputs of the visualization. His insights greatly contributed to the project's success and ensured that the visualization effectively conveys the intended information. 
In partnership with power experts, we developed an application to visualize power dispatch patterns, aimed at optimizing energy flow, identifying inefficiencies, and aiding informed decisions concerning energy allocation, demand response, and grid stability. However, due to the absence of test data, we were unable to conduct trials that would effectively showcase the system's capabilities and align with user expectations. Continuing within the context of power applications, recognizing that one-line diagrams simplify complexity, enhance understanding, aid analysis, and establish a foundation for efficient operation and management of power systems, we have developed an algorithm to automate the creation and rendering of one-line diagrams. 
Moreover, the relevance of visualizing geo-referenced power data for decision-making in various domains led us to develop a map simplification algorithm. The algorithm enables users to focus on essential details without being overwhelmed by unnecessary map complexity. 
In numerous applications, aiding users in arriving at viable solutions from collected data necessitates the provision of interaction mechanisms. These mechanisms enable users not only to explore and analyze the data from different perspectives but also to experiment with and visualize outcomes of alternative solutions.In addition to empowering users to process, render, and animate data to extract new insights, s, akin to tools like OpenDX and VTK, our observation indicated that promoting interactions with the visualized data has the potential to encourage users to develop and validate new hypotheses. This iterative process continues until a satisfactory solution is achieved, enhancing the overall effectiveness of data analysis and decision-making. Hence, we moved our focus to interactive visualization or exploratory visualiation, adhering to the established principles of the well-known Visual Information Seeking Mantra - an Overview first, zoom and filter, and then details-on-demand paradigm. Any comments about this project will be very appreciated. |
