Visual Search Engine for Handwritten and Typeset Math in Lecture Videos and LATEX Notes

To fill a gap in online educational tools, we are working to support search in lecture videos using formulas from lecture notes and vice versa. We use an existing system to convert single-shot lecture videos to keyframe images that capture whiteboard contents along with the times they appear. We train classifiers for handwritten symbols using the CROHME dataset, and for LATEX symbols using generated images. Symbols detected in video keyframes and LATEX formula images are indexed using Line-of-Sight graphs. For search, we lookup pairs of symbols that can 'see' each other, and connected pairs are merged to identify the largest match within each indexed image. We rank matches using symbol class probabilities and angles between symbol pairs. We demonstrate how our method effectively locates formulas between typeset and handwritten images using a set of linear algebra lectures. By combining our search engine Tangent-V) with temporal keyframe metadata, we are able to navigate to where a query formula in LATEX is first handwritten in a lecture video. Our system is available as open-source. For other domains, only the OCR modules require updating.