Story structure remains essentially the same as the original 3 part tv movie. A few continuity corrections. The only significant edit/cut is the conversation between Adama and Apollo about going down to Caprica. Otherwise, the biggest changes are FX enhancement to many scenes (eg. adding planets to the background), replacing dodgy FX shots (eg. Cylon Basestar descending on Carrillon) or background mattes and making some of the battle sequences less repetitive, while trying to maintain the visual look of the original without going overboard with CGI.
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