The present disclosure relates to systems, methods, and non-transitory computer readable media for efficiently and flexibly extracting reusable geometric assets from an arbitrary arrangement of vector geometry within a digital image. For example, the disclosed systems can organize vector geometry of a digital image by structuring geometric objects into groups (e.g., clusters). The disclosed systems can assign mnemonics to these groups and transform the digital image into a mnemonic sequence. Moreover, the disclosed systems can utilize various computer-implemented algorithms to identify and filter patterns within the mnemonic sequence. The disclosed systems can then generate pattern scores for these patterns and identify which patterns of geometric objects to include within a set of reusable geometric assets.