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Data visualizations are created and shared on the web at an unprecedentedspeed, raising new needs and questions for processing and analyzingvisualizations after they have been generated and digitized. However, existingformalisms focus on operating on a single visualization instead of multiplevisualizations, making it challenging to perform analysis tasks such as sortingand clustering visualizations. Through a systematic analysis of previous work,we abstract visualization-related tasks into mathematical operators such asunion and propose a design space of visualization operations. We realize thedesign by developing ComputableViz, a library that supports operations onmultiple visualization specifications. To demonstrate its usefulness andextensibility, we present multiple usage scenarios concerning processing andanalyzing visualization, such as generating visualization embeddings andautomatically making visualizations accessible. We conclude by discussingresearch opportunities and challenges for managing and exploiting the massivevisualizations on the web.

ComputableViz: Mathematical Operators as a Formalism for Visualization Processing and Analysis