"常浮现于脑海中的" can be translated into English as "frequently surfacing in one's mind" or "often coming to mind".
For example:
The image of that beautiful scenery frequently surfaces in my mind. (那片美丽风景的画面常浮现于我的脑海中。)
That moving moment often comes to mind when I recall the past. (当我回忆过去时,那个感人的时刻常浮现于脑海中。)