ComputableViz: Mathematical Operators as a Formalism for Visualization Processing and Analysis
Aoyu Wu, Wai Tong, Haotian Li, Dominik Moritz, Yong Wang, and Huamin, Qu

TL;DR
ComputableViz introduces a formal mathematical framework and a library for processing, analyzing, and manipulating multiple visualizations collectively, addressing limitations of existing single-visualization-focused approaches.
Contribution
The paper proposes a formalism using mathematical operators for visualization tasks and implements it in the ComputableViz library to support multi-visualization analysis.
Findings
Supports operations on multiple visualization specifications
Enables visualization embedding generation
Automates making visualizations accessible
Abstract
Data visualizations are created and shared on the web at an unprecedented speed, raising new needs and questions for processing and analyzing visualizations after they have been generated and digitized. However, existing formalisms focus on operating on a single visualization instead of multiple visualizations, making it challenging to perform analysis tasks such as sorting and clustering visualizations. Through a systematic analysis of previous work, we abstract visualization-related tasks into mathematical operators such as union and propose a design space of visualization operations. We realize the design by developing ComputableViz, a library that supports operations on multiple visualization specifications. To demonstrate its usefulness and extensibility, we present multiple usage scenarios concerning processing and analyzing visualization, such as generating visualization…
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Taxonomy
TopicsData Visualization and Analytics · Data Analysis with R · Computational Physics and Python Applications
