The TreeMap-based exploration in TopoMap++ can be further enhanced by incorporating interactive features that allow users to dynamically filter and select specific topological components based on various criteria. For instance, users could be provided with sliders or input fields to adjust parameters such as component size, persistence threshold, or specific attributes related to the data (e.g., temporal or categorical features). This would enable users to refine their selection of components in real-time, allowing for a more tailored exploration experience.
Additionally, implementing a click-and-drag functionality could allow users to select multiple components simultaneously, which would then be highlighted in the TopoMap++ projection. This selection could be visually represented in the TreeMap, with selected components being emphasized through color changes or border highlights. Furthermore, integrating a search functionality that allows users to input keywords or specific values related to the components could facilitate quick access to components of interest.
To enhance user engagement, tooltips or pop-up information could be displayed when hovering over components in the TreeMap, providing insights into their characteristics, such as the number of points, persistence values, or relationships to other components. This interactive approach would not only improve the usability of the TreeMap but also empower users to conduct more in-depth analyses of the high-dimensional data.