1. A display apparatus with an image-capturing function, comprising: an outputting unit configured to output an image signal to an external apparatus; an inputting unit configured to input an image signal from the external apparatus; an image-capturing unit; a display unit; an image-capture-distortion corrector configured to perform image-capture-distortion correction on an image signal captured by the image-capturing unit; a display-distortion corrector configured to perform display-distortion correction; and a controller configured to control whether or not the image-capture-distortion corrector is to perform the image-capture-distortion correction, and whether or not the display-distortion corrector is to perform the display-distortion correction.