Various shaped screens have bee recently used for immersive projection displays. The ability to project a non-distorted image on a curved screen from arbitrary viewpoints is highly desirable. However, in previous techniques, the shape of the screen has been restricted, and we required geometrical information about screens and projectors. In this paper, we descrive a non-distorted image projection method for an immersive projection display with a curved screen. This method contains two approaches : the first is a precise geometry and color correction for preprocessing with a digital camera, and the second is a real-time geometry correction with real-time 3D rendering techniques. These methods need only geometrical information about the screen, and achieve a high quality image correction in real-time. We also used this method in the actual immersive projection display, and evaluated its effectiveness in some experiments.