Synonyms for Reconstruct (same or very similar meaning)
WordNet sense 1 (return to its original or usable and functioning condition):
restore, restoreWordNet sense 2 (build again):
rebuildWordNet sense 3 (reassemble mentally):
construct, retrace, constructWordNet sense 4 (do over, as of (part of) a house):
redo, remodel, redoFrom the ODE community, based on WordNetadd/edit