The phrase "passed an eye over" generally means to quickly glance over something or to examine it cursorily. Its antonyms, on the other hand, would suggest a more thorough or detailed examination of something. Words like scrutinize, pore over, study, analyze, and consider all carry this sense of carefully examining something. Other antonyms could include words like neglect, disregard, ignore, or overlook, which all suggest a lack of attention or interest in something. Depending on the context, the appropriate antonym for "passed an eye over" will vary, but in general, it will be a word that conveys a different level of attentiveness or care in examining something.