Various　methods　have　been　proposed　to　simplify　complex　triangle　meshes　in　many　applications　of　computer　graphics.　Methods　based　on　quadric　error　metric　allow　fast　and　accurate　geometric　simplification　of　meshes.　But　they　often　lose　some　importation　shape　features,　such　as　the　corners,　at　low　resolution.　This　paper　presents　an　improved　quadric　error　metric　for　preserving　geometric　features　of　the　original　model　even　after　performing　drastic　level　of　simplification.　We　define　an　important　degree　for　each　triangle　and　embed　it　in　quadric　error　metric.　The　important　degrees　of　triangles　reflect　the　local　surface　variation.　Therefore,　the　new　error　metric　can　retain　the　characteristic　features.　The　result　shows　that　most　important　features　of　original　model　are　evident　in　low-level　model　and　the　distribution　of　meshes　is　more　subject　to　local　surface　variation.