Recognition of mathematics notation via computer using baseline structure

The spatial structure of mathematical expressions may be represented using the structure of baselines in an expression. This baseline structure may be represented as a tree, and then rewritten to represent different interpretations of spatial structure in an expression. This structure tree may also be translated into mathematical string languages such as LAT EX Maple etc. A parsing algorithm which extracts baseline structure in mathematics expressions from a list of attributed symbols is presented, along with an implementation of the algorithm. The implementation of the parsing algorithm has been interfaced with an online mathematics entry system. The resulting integrated system allowed testing of the parser on hundreds of input expressions, with encouraging results. Future work in the extension of the current mathematics recognition technique and application of direction-based recognition to other notations such as music notation and circuit diagrams are also discussed.