fig1 shows a known mammography apparatus 1 having a vertical column 2 on which the image acquisition unit 3 is arranged vertically such that it can move . the image acquisition unit 3 has an x - ray source 4 as well as a digital x - ray detector 5 that is arranged below a support plate 6 for the female breast . a compression plate 7 is provided above the support plate 6 . the compression plate 7 is likewise vertically driven in an adjustable manner on a vertical support 8 . with this compression plate 7 the breast can be compressed in a known manner for image acquisition . a control device 9 is also provided that controls the entire operation of the x - ray apparatus as well as the image acquisition and image evaluation operation , for which a suitable image processing device 10 is provided . acquired images are output on a monitor 11 . fig2 shows the mammography apparatus 1 of fig1 in a schematic representation in order to explain the method according to the invention in more detail . the radiation source 4 is shown that emits an x - ray beam ( bundle ) 12 . also shown is the bearing plate 6 with the radiation detector 5 located underneath as well as the compression plate 7 . furthermore , the breast 13 is shown , that is clearly not presented in its natural shape . the breast 13 contains a mass 14 which may be a malignant lesion , for example a cancer . the breast 13 is held between the support plate 6 and the compression plate 7 and is compressed between the two . the compression plate can be adjusted by the degree of the vertical displacement of the compression plate 7 . at the beginning of the method , the compression plate 7 is located in a first position that here is shown with solid lines . a first degree of compression of the breast 13 was hereby set . in the first degree of compression , the breast 13 as well as the lesion 14 are likewise shown in solid lines . the radiation beam 12 penetrates the breast 13 in addition to lesion 14 ; a corresponding image data set that enables the output of a first image is acquired at the radiation detector 5 and stored in the image processing device 10 of the control device 9 . in the second method step , the compression plate 7 is then shifted ( displaced )— in the shown example it is moved further back toward the support plate 7 , which leads to the situation that the pressure on the breast 13 and the lesion 14 is increased ; the mamma 13 is thus inevitably more significantly compressed . this second position of the compression plate 7 is shown in dashed lines ; the second degree of compression of the mamma 13 and of the lesion 14 is also shown in dashed lines . this pressure increase or intensification of the compression now leads to the situation that the breast 13 is deformed ; this means that it is pressed more significantly and expands laterally in space , as fig2 shows . the variation of the degree of compression likewise leads to a lateral shift of lesion 14 . the deformation of the lesion 14 starting from the first degree of compression ( where it is thus shown drawn out ) to the position as it is shown with dashed lines is strongly dependent on the elastic properties of the lesion . these are distinctly different for benign and malignant lesions . while a benign lesion shows an elastic behavior that approximately corresponds to that of the healthy tissue of the breast 13 , a malignant lesion is distinctly harder ; it thus behaves distinctly differently in its evasive movement that occurs upon a change of the degree of compression than a benign lesion . if the lesion 14 is a benign lesion , it would lie at a different point than is shown with the dashed lines . the dashed line representation of lesion 14 indicates the position of a malignant lesion . in each case , a second image data set is now also acquired in the second compression position ; the image signals of the radiation detector 5 are in turn stored in the image processing device 10 . the second image data set is then transformed computationally such that the size and location variations occurring due to the elastic deformation are compensated . a retrograde calculation of the image signals to the initial state that the mamma had in the framework of the first image acquisition thus ensues . the second image or the second image data set is thus quasi - transformed into the first image data set . this ensues under the assumption of a homogenous elasticity behavior across the entire area or the entire volume of the breast 13 , independent of whether lesions are present or not . however , it also results from this that a malignant lesion 14 is transformed differently or is essentially calculated back into a different starting position upon application of the first degree of compression than actually occurred in the volume . as described , the compression or elasticity behavior of a malignant lesion is different than that of a benign lesion , which exhibits a behavior approximately corresponding to that of healthy tissue . in the next step , a computational linking of the first , untransformed image data set and the second , transformed image data set is conducted , for example a simple taking of a difference with possible weighting of one image data set . for example , the difference image is calculated as d = a − 0 . 7b , wherein a is the first image data set and b is the transformed second image data set . however , any computational linkings with arbitrary weightings or calculation formulas are possible . the processing can also ensue such that the contours of the breast advantageously starting from the untransformed image data set ) are still visible in the difference image , albeit not too clearly , or the edge of the breast is determined , for example via an edge detection algorithm , etc . this is in order to provide the operator with an easier orientation in the difference image . in any case , the difference image generated in whichever manner or , respectively , the computational link image is then output on the monitor 11 ( see fig2 ) where such a difference image 15 is presented . the still slightly visible edge 16 of the breast 13 is shown on the one hand , as well as the lesion 14 ( which clearly emerges in the difference image ). the observer thus receives in this way a clearly more specific difference image ; compare with the individual image data that the two image data sets yield that were acquired at the different degrees of compression . in these the lesion 14 would be seen only as a slight shadow ; it would not be shown clearly and for as long in the image as this is now possible due to the linking according to the invention of the elastography ( thus utilization of the different elastic properties of the irradiated tissue ) and the radioscopic mammography . although modifications and changes may be suggested by those skilled in the art , it is the intention of the inventor to embody within the patent warranted hereon all changes and modifications as reasonably and properly come within the scope of his or her contribution to the art .