A compression device has a compression plate that applies a pressure to a subject on a support plate. The compression plate has a number of elastically-deformable compression plate elements that are substantially transparent for an examination field used with the compression device. In a method for compressing a subject, at least one pressure sensor measures the pressure applied by a compression device to a subject, and wirelessly supplies a signal representing the detected pressure to a control unit, wherein the detected pressure is compared to a stored compression pressure value. The control device adjusts the pressure applied to the subject by the compression device so that the pressure detected by the sensor is equal to the stored compression pressure value.