Graph　cut　based　interactive　segmentation　is　useful　to　extract　objects　from　images.　Color　and　gradient　constraints　are　two　terms　appearing　in　most　of　energy　functions　of　related　methods.　In　order　to　balance　the　two　constraints,　state-of-the-art　methods　adopt　a　pre-given　fixed　weight.　However,　different　images　and　even　different　parts　in　a　single　image　have　different　demands　for　proportion　of　the　two　constraints.　This　paper　proposes　a　graph　cut　based　segmentation　method　which　is　capable　of　intelligently　balancing　the　two　constraints　on　the　fly.　Particularly,　it　analyzes　the　demand　of　each　pixel　for　color　and　gradient　constraints　and　arranges　a　weight　at　the　pixel　to　balance　the　two,　automatically.　Results　show　that　the　proposed　method　obtains　better　results　than　traditional　ones.