In recent years, augmented reality (AR) technologies have been widespread for supporting various kinds of tasks, by superimposing useful information on the users' view of the real environments. In endoscopic diagnosis, AR systems can be helpful as an aid in presenting information to endoscopists who have their hands full. In this paper, we propose a system that can superimpose shapes, which are reconstructed from an endoscope image, onto the field of view. The feature of the proposed system is that it reconstructs 3D shapes from the images captured by the endoscope and superimposes them onto the real views. As a result, the superimposed view allows the doctor to keep operating the endoscope while observing the patient's internal body with additional information. The proposed system is composed of the reconstruction module and the display module. The reconstruction module is for acquiring 3D shapes based on an active stereo method. In particular, we propose a novel projection pattern that can reconstruct wide areas of the endoscopic view. The display module shows the 3D shape obtained by the reconstructed module, superimposing on the field of view. In the experiments, we show that it is possible to perform a wide range of dense 3D reconstructions using the new projection patterns. In addition, we confirmed the usefulness of the AR system by interviewing medical doctors.