  Dynamically Interactive Visualization (DIVI) is a novel approach for
orchestrating interactions within and across static visualizations. DIVI
deconstructs Scalable Vector Graphics charts at runtime to infer content and
coordinate user input, decoupling interaction from specification logic. This
decoupling allows interactions to extend and compose freely across different
tools, chart types, and analysis goals. DIVI exploits positional relations of
marks to detect chart components such as axes and legends, reconstruct scales
and view encodings, and infer data fields. DIVI then enumerates candidate
transformations across inferred data to perform linking between views. To
support dynamic interaction without prior specification, we introduce a
taxonomy that formalizes the space of standard interactions by chart element,
interaction type, and input event. We demonstrate DIVI's usefulness for rapid
data exploration and analysis through a usability study with 13 participants
and a diverse gallery of dynamically interactive visualizations, including
single chart, multi-view, and cross-tool configurations.
