Digital projector, machine tool, and projected image display method

A digital projector comprising:

• a light source configured to irradiate an object to be machined with light;
• a low-magnification camera mechanism configured to capture a projected image of the object to be machined, generated by the irradiation by the light source;
• a beam splitter provided on a light path of the projected image;
• a high-magnification camera mechanism configured to capture the projected image, split by the beam splitter, in a range narrower than the low-magnification camera mechanism and at a magnification higher than the low-magnification camera mechanism;
• and
• a display configured to display a low-magnification image captured by the low-magnification camera mechanism and a high-magnification image captured by the high-magnification camera mechanism, wherein
• the high-magnification camera mechanism includes
• a high-magnification image-forming lens configured to enlarge the projected image to a predetermined magnification,
• a high-magnification camera configured to capture the projected image enlarged, and
• a high-magnification camera movement mechanism configured to change an imaging position of the high-magnification camera with respect to the projected image,
• a display position of the high-magnification image on the display is changeable, and
• the high-magnification camera movement mechanism is configured to change the imaging position of the high-magnification camera in accordance with a change in the display position of the high-magnification image and is configured to be able to move the imaging position of the high-magnification camera relatively with respect to the low-magnification camera mechanism.